https://karnatakaeducation.org.in/KOER/en/api.php?action=feedcontributions&user=Radha&feedformat=atomKarnataka Open Educational Resources - User contributions [en]2024-03-29T04:53:45ZUser contributionsMediaWiki 1.35.6https://karnatakaeducation.org.in/KOER/en/index.php?title=Lines_and_Angles&diff=29205Lines and Angles2018-04-25T08:17:53Z<p>Radha: /* Exercise 6.3 */</p>
<hr />
<div>=== Learning objectives ===<br />
# Understanding Exterior and Interior angles and their dependency <br />
# Understanding that a triangle is a planar fig formed by the intersection of three lines<br />
# Understanding Triangle as a plane which covers area<br />
<br />
=== Problem description ===<br />
<br />
==== Exercise 6.3 ====<br />
# In Fig. 6.39, sides QP and RQ of ∆ PQR are produced to points S and T respectively. If ∠ SPR = 135° and ∠ PQT = 110°, find ∠ PRQ.<br />
[[File:Lines and Angles Problem 1.png|center|thumb|171x171px|<br />
Lines and Angles Problem 1<br />
]]<br />
[[Category:Mathematics]]<br />
[[Category:Class 9]]<br />
<br />
=== Activity No # 1 ===<br />
* Estimated Time - 40 minutes<br />
* Materials/ Resources needed; Paper, pencil, and scale.<br />
* Prerequisites/Instructions, if any:<br />
# The students should know points and line segments.<br />
* Multimedia resources<br />
* Website interactives/ links/ Geogebra Applets<br />
* Process (How to do the activity):<br />
Display the GGB file first in which Angle SPR and PQT is already set to given measurements. and it would be helpful to ask the following questions which helps to understand the prior learning of children which might take 1 or 2 minutes.<br />
# In the given applet identify the Triangle gives.<br />
# Name the sides and Angles of the Triangle<br />
# Identify the interior and exterior angles<br />
# Measure the angle adjacent to 135<sup>0</sup> (What is the sum of 135<sup>0</sup> and its adjacent angle.If the answer is 180<sup>0</sup> a teacher can ask the reason)<br />
# Measure the angle adjacent to 110<sup>0</sup> (What is the sum of 135<sup>0</sup> and its adjacent angle If the answer is 180<sup>0</sup> a teacher can ask the reason)<br />
If the answer is different then use the angle measure tool in the GGB file and measure the adjacent angles of <br />
<br />
# Developmental Questions (What discussion questions):<br />
<br />
# <br />
* Evaluation (Questions for assessment of the child):</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=File:Lines_and_Angles_Problem_1.png&diff=29204File:Lines and Angles Problem 1.png2018-04-25T08:15:28Z<p>Radha: {{Information
|Description ={{en|1=Lines and Angles Problem 1}}
|Source =Own work
|Author =Radha
|Date =25-04-2018
|Name =
|Alt_names =
|Teaches =
|Based_on_url =
|Requires...</p>
<hr />
<div>== Summary ==<br />
{{Information<br />
|Description ={{en|1=Lines and Angles Problem 1}}<br />
|Source =Own work<br />
|Author =Radha<br />
|Date =25-04-2018<br />
|Name =<br />
|Alt_names =<br />
|Teaches =<br />
|Based_on_url =<br />
|Requires =<br />
|Assessment =<br />
|Time_required =<br />
|Tags_Telugu =<br />
|Tags_English =<br />
|Translation_of =<br />
|Adaptationup =<br />
|Contributorup =<br />
|Permission =<br />
|other_versions =<br />
}}<br />
<br />
== Licensing ==<br />
{{cc-by-sa-4.0}}</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Lines_and_Angles&diff=29203Lines and Angles2018-04-25T08:10:56Z<p>Radha: /* Learning objectives */</p>
<hr />
<div>=== Learning objectives ===<br />
# Understanding Exterior and Interior angles and their dependency <br />
# Understanding that a triangle is a planar fig formed by the intersection of three lines<br />
# Understanding Triangle as a plane which covers area<br />
<br />
=== Problem description ===<br />
<br />
==== Exercise 6.3 ====<br />
# In Fig. 6.39, sides QP and RQ of ∆ PQR are produced to points S and T respectively. If ∠ SPR = 135° and ∠ PQT = 110°, find ∠ PRQ.<br />
[[Category:Mathematics]]<br />
[[Category:Class 9]]<br />
<br />
=== Activity No # 1 ===<br />
* Estimated Time - 40 minutes<br />
* Materials/ Resources needed; Paper, pencil, and scale.<br />
* Prerequisites/Instructions, if any:<br />
# The students should know points and line segments.<br />
* Multimedia resources<br />
* Website interactives/ links/ Geogebra Applets<br />
* Process (How to do the activity):<br />
Display the GGB file first in which Angle SPR and PQT is already set to given measurements. and it would be helpful to ask the following questions which helps to understand the prior learning of children which might take 1 or 2 minutes.<br />
# In the given applet identify the Triangle gives.<br />
# Name the sides and Angles of the Triangle<br />
# Identify the interior and exterior angles<br />
# Measure the angle adjacent to 135<sup>0</sup> (What is the sum of 135<sup>0</sup> and its adjacent angle.If the answer is 180<sup>0</sup> a teacher can ask the reason)<br />
# Measure the angle adjacent to 110<sup>0</sup> (What is the sum of 135<sup>0</sup> and its adjacent angle If the answer is 180<sup>0</sup> a teacher can ask the reason)<br />
If the answer is different then use the angle measure tool in the GGB file and measure the adjacent angles of <br />
<br />
# Developmental Questions (What discussion questions):<br />
<br />
# <br />
* Evaluation (Questions for assessment of the child):</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=20054Connection between algebra and geometry through graphs of lines and curves2015-08-14T09:08:47Z<p>Radha: /* Math Fun */</p>
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= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activity 1===<br />
#'''Familiarising to Cartesian Coordinate system - Activity No 1''' [[http://www.mathopenref.com This source taken from mathopenref.com]]<br />
To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3.<br />
D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.<br> <br />
[[File:table.gif|200px]]<br><br />
'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br><br />
<br />
===Activity 2===<br />
# '''Idea of introducing to coordinates - Activity No2'''<br />
[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinate geometry Page Link]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=20050Co-ordinate geometry2015-08-14T09:03:40Z<p>Radha: /* Concept map */</p>
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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<br />
<br />
<br />
<br />
==Concept map==<br />
<mm>[[Coordinate_Geometry.mm|Flash]]</mm> <br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=20008Co-ordinate geometry2015-08-14T07:38:51Z<p>Radha: /* Concept map */</p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=20006Co-ordinate geometry2015-08-14T07:37:50Z<p>Radha: /* Concept map */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate_Geometry.mm|Flash]]</mm> <br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=20004Co-ordinate geometry2015-08-14T07:36:53Z<p>Radha: /* Concept map */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=20001Co-ordinate geometry2015-08-14T07:36:26Z<p>Radha: /* Concept map */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate_Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=20000Co-ordinate geometry2015-08-14T07:35:32Z<p>Radha: /* Concept map */</p>
<hr />
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Understanding_what_is_Slope_of_a_line&diff=19966Understanding what is Slope of a line2015-08-14T07:16:54Z<p>Radha: /* Activity Keywords */</p>
<hr />
<div>=Activity 1 - Name of Activity=<br />
understanding What is a slope?<br />
==Estimated Time==<br />
1h<br />
==Materials/ Resources needed==<br />
Graph sheet or Geogebra applet <br />
==Prerequisites/Instructions, if any==<br />
#idea about coordinate axis,ploting the points<br />
#Idea of Rotation of a line/segment-Angle<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Ask the students to observe the given table describe the pattern using words .<br>Ask them to plot and join the points on grids and ask how the line segments is visible in the graph. <br> ask them to write the relation between X and Y.<br>(we can come to a conclusion that the larger the absolute value of the number,the linebecomes steeper.)<br />
{|Class="wikitable" <br />
|-<br />
|X<br />
|Y<br />
|-<br />
|6<br />
|1<br />
|-<br />
|7<br />
|2<br />
|-<br />
|8<br />
|3<br />
|-<br />
|9<br />
|4<br />
|}<br />
{|Class="wikitable"<br />
|-<br />
|X<br />
|Y<br />
|-<br />
|4<br />
|1<br />
|-<br />
|5<br />
|3<br />
|-<br />
|6<br />
|5<br />
|}<br />
{|Class="wikitable"<br />
|-<br />
|X<br />
|Y<br />
|-<br />
|6<br />
|1<br />
|-<br />
|7<br />
|4<br />
|-<br />
|8<br />
|7<br />
|-<br />
|}<br />
[[File:Slope of segment.png|250px]]<br><br />
<br />
==Developmental Questions (What discussion questions)==<br />
#Write the relation between X and Y(as an equation)<br />
#plot the other points following the same pattern and join the points<br />
#How do we differentiate these lines from one another?from the inclination with the x-axis i.e bending of line towards x-axis<br />
#Can we visualise the angle so formed by the line with the X-axis?<br />
#What is the relation between the bending of line and angle formed by it with the X-axis?<br><br />
We can conclude that bending(orientation of line)increases with the increse in the angle or we can say line becomes steeper with the angle of inclination.<br><br />
The slope of a line is a number that measures its "steepness" It is the change in y for a unit change in x along the line.<br />
#How do we measure the steepness of line?<br />
[[Image:Measure of Slope.png|400px]]<br />
#Ask the students to measure Slope of other lines<br />
# Ask the students to inspect the Slope with the help of relation between X and Y<br />
# What is the slope of a horizontal and a Vertical line?<br />
<br />
[[http://tube.geogebra.org/material/show/id/130849 To know more about slope play with this geogebra applet]]<br />
<br />
==Evaluation (Questions for assessment of the child)==<br />
Find the slope of three segments of the triangle given below<br><br />
[[Image:Assessment question to find the slope.png|400px]]<br />
<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinate geometry Page Link]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Understanding_what_is_Slope_of_a_line&diff=19965Understanding what is Slope of a line2015-08-14T07:16:33Z<p>Radha: /* Activity Keywords */</p>
<hr />
<div>=Activity 1 - Name of Activity=<br />
understanding What is a slope?<br />
==Estimated Time==<br />
1h<br />
==Materials/ Resources needed==<br />
Graph sheet or Geogebra applet <br />
==Prerequisites/Instructions, if any==<br />
#idea about coordinate axis,ploting the points<br />
#Idea of Rotation of a line/segment-Angle<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Ask the students to observe the given table describe the pattern using words .<br>Ask them to plot and join the points on grids and ask how the line segments is visible in the graph. <br> ask them to write the relation between X and Y.<br>(we can come to a conclusion that the larger the absolute value of the number,the linebecomes steeper.)<br />
{|Class="wikitable" <br />
|-<br />
|X<br />
|Y<br />
|-<br />
|6<br />
|1<br />
|-<br />
|7<br />
|2<br />
|-<br />
|8<br />
|3<br />
|-<br />
|9<br />
|4<br />
|}<br />
{|Class="wikitable"<br />
|-<br />
|X<br />
|Y<br />
|-<br />
|4<br />
|1<br />
|-<br />
|5<br />
|3<br />
|-<br />
|6<br />
|5<br />
|}<br />
{|Class="wikitable"<br />
|-<br />
|X<br />
|Y<br />
|-<br />
|6<br />
|1<br />
|-<br />
|7<br />
|4<br />
|-<br />
|8<br />
|7<br />
|-<br />
|}<br />
[[File:Slope of segment.png|250px]]<br><br />
<br />
==Developmental Questions (What discussion questions)==<br />
#Write the relation between X and Y(as an equation)<br />
#plot the other points following the same pattern and join the points<br />
#How do we differentiate these lines from one another?from the inclination with the x-axis i.e bending of line towards x-axis<br />
#Can we visualise the angle so formed by the line with the X-axis?<br />
#What is the relation between the bending of line and angle formed by it with the X-axis?<br><br />
We can conclude that bending(orientation of line)increases with the increse in the angle or we can say line becomes steeper with the angle of inclination.<br><br />
The slope of a line is a number that measures its "steepness" It is the change in y for a unit change in x along the line.<br />
#How do we measure the steepness of line?<br />
[[Image:Measure of Slope.png|400px]]<br />
#Ask the students to measure Slope of other lines<br />
# Ask the students to inspect the Slope with the help of relation between X and Y<br />
# What is the slope of a horizontal and a Vertical line?<br />
<br />
[[http://tube.geogebra.org/material/show/id/130849 To know more about slope play with this geogebra applet]]<br />
<br />
==Evaluation (Questions for assessment of the child)==<br />
Find the slope of three segments of the triangle given below<br><br />
[[Image:Assessment question to find the slope.png|400px]]<br />
<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
<br />
[[[[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinate geometry Page Link]]]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19945Co-ordinate geometry2015-08-14T07:10:08Z<p>Radha: /* Activities */</p>
<hr />
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Understanding_what_is_Slope_of_a_line&diff=19938Understanding what is Slope of a line2015-08-14T07:00:02Z<p>Radha: /* Developmental Questions (What discussion questions) */</p>
<hr />
<div>=Activity 1 - Name of Activity=<br />
understanding What is a slope?<br />
==Estimated Time==<br />
1h<br />
==Materials/ Resources needed==<br />
Graph sheet or Geogebra applet <br />
==Prerequisites/Instructions, if any==<br />
#idea about coordinate axis,ploting the points<br />
#Idea of Rotation of a line/segment-Angle<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Ask the students to observe the given table describe the pattern using words .<br>Ask them to plot and join the points on grids and ask how the line segments is visible in the graph. <br> ask them to write the relation between X and Y.<br>(we can come to a conclusion that the larger the absolute value of the number,the linebecomes steeper.)<br />
{|Class="wikitable" <br />
|-<br />
|X<br />
|Y<br />
|-<br />
|6<br />
|1<br />
|-<br />
|7<br />
|2<br />
|-<br />
|8<br />
|3<br />
|-<br />
|9<br />
|4<br />
|}<br />
{|Class="wikitable"<br />
|-<br />
|X<br />
|Y<br />
|-<br />
|4<br />
|1<br />
|-<br />
|5<br />
|3<br />
|-<br />
|6<br />
|5<br />
|}<br />
{|Class="wikitable"<br />
|-<br />
|X<br />
|Y<br />
|-<br />
|6<br />
|1<br />
|-<br />
|7<br />
|4<br />
|-<br />
|8<br />
|7<br />
|-<br />
|}<br />
[[File:Slope of segment.png|250px]]<br><br />
<br />
==Developmental Questions (What discussion questions)==<br />
#Write the relation between X and Y(as an equation)<br />
#plot the other points following the same pattern and join the points<br />
#How do we differentiate these lines from one another?from the inclination with the x-axis i.e bending of line towards x-axis<br />
#Can we visualise the angle so formed by the line with the X-axis?<br />
#What is the relation between the bending of line and angle formed by it with the X-axis?<br><br />
We can conclude that bending(orientation of line)increases with the increse in the angle or we can say line becomes steeper with the angle of inclination.<br><br />
The slope of a line is a number that measures its "steepness" It is the change in y for a unit change in x along the line.<br />
#How do we measure the steepness of line?<br />
[[Image:Measure of Slope.png|400px]]<br />
#Ask the students to measure Slope of other lines<br />
# Ask the students to inspect the Slope with the help of relation between X and Y<br />
# What is the slope of a horizontal and a Vertical line?<br />
<br />
[[http://tube.geogebra.org/material/show/id/130849 To know more about slope play with this geogebra applet]]<br />
<br />
==Evaluation (Questions for assessment of the child)==<br />
Find the slope of three segments of the triangle given below<br><br />
[[Image:Assessment question to find the slope.png|400px]]<br />
<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''To link back to the concept page'''<br />
[[Topic Page Link]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19934Co-ordinate geometry2015-08-14T06:55:34Z<p>Radha: /* Concept # 5 Slope of a line/Gradient of a line */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19933Co-ordinate geometry2015-08-14T06:55:08Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19927Co-ordinate geometry2015-08-14T06:49:42Z<p>Radha: /* Activities */</p>
<hr />
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19925Co-ordinate geometry2015-08-14T06:48:24Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19923Co-ordinate geometry2015-08-14T06:47:39Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_2Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19920Co-ordinate geometry2015-08-14T06:46:07Z<p>Radha: /* Activities */</p>
<hr />
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19918Co-ordinate geometry2015-08-14T06:45:24Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
<br />
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|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/http://karnatakaeducation.org.in/KOER/en/index.php Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19916Co-ordinate geometry2015-08-14T06:44:59Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19915Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:44:07Z<p>Radha: /* Activity 2 */</p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activity 1===<br />
#'''Familiarising to Cartesian Coordinate system - Activity No 1''' [[http://www.mathopenref.com This source taken from mathopenref.com]]<br />
To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3.<br />
D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.<br> <br />
[[File:table.gif|200px]]<br><br />
'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br><br />
<br />
===Activity 2===<br />
# '''Idea of introducing to coordinates - Activity No2'''<br />
[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19914Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:43:44Z<p>Radha: /* Activities */</p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activity 1===<br />
#'''Familiarising to Cartesian Coordinate system - Activity No 1''' [[http://www.mathopenref.com This source taken from mathopenref.com]]<br />
To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3.<br />
D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.<br> <br />
[[File:table.gif|200px]]<br><br />
'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br><br />
<br />
==Activity 2==<br />
# '''Idea of introducing to coordinates - Activity No2'''<br />
[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19913Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:43:09Z<p>Radha: /* Activity 1 */</p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activities===<br />
Activity 1<br />
#'''Familiarising to Cartesian Coordinate system - Activity No 1''' [[http://www.mathopenref.com This source taken from mathopenref.com]]<br />
To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3.<br />
D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.<br> <br />
[[File:table.gif|200px]]<br><br />
'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br><br />
<br />
==Activity 2==<br />
# '''Idea of introducing to coordinates - Activity No2'''<br />
[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19911Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:42:36Z<p>Radha: /* Activities */</p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activities===<br />
==Activity 1==<br />
#'''Familiarising to Cartesian Coordinate system - Activity No 1''' [[http://www.mathopenref.com This source taken from mathopenref.com]]<br />
To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3.<br />
D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.<br> <br />
[[File:table.gif|200px]]<br><br />
'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br><br />
==Activity 2==<br />
# '''Idea of introducing to coordinates - Activity No2'''<br />
[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19908Co-ordinate geometry2015-08-14T06:40:33Z<p>Radha: /* Activities */</p>
<hr />
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activities_Activity1 Connection between algebra and geometry through graphs of lines and curves| ]]<br />
<br />
Activity #2<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19907Co-ordinate geometry2015-08-14T06:39:52Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activities_Activity1| ]]<br />
<br />
Activity #2<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19905Co-ordinate geometry2015-08-14T06:39:29Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
Activity #1<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activities_Activity1| Introduction to Graphs]]<br />
<br />
Activity #2<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19903Co-ordinate geometry2015-08-14T06:37:27Z<p>Radha: /* Teaching Outlines */</p>
<hr />
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
<br />
===Notes for teachers===<br />
<br />
===Activities===<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19902Co-ordinate geometry2015-08-14T06:36:45Z<p>Radha: /* Activities */</p>
<hr />
<div><div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div><br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
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<br />
<br />
<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
*A plane is a flat surface which can be extended in any directions. <br />
*coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.<br />
<br />
===Activities===<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
<br />
<br />
==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19901Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:36:18Z<p>Radha: /* Activities */</p>
<hr />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activities===<br />
#'''Familiarising to Cartesian Coordinate system - Activity No 1''' [[http://www.mathopenref.com This source taken from mathopenref.com]]<br />
To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3.<br />
D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.<br> <br />
[[File:table.gif|200px]]<br><br />
'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br><br />
<br />
# '''Idea of introducing to coordinates - Activity No2'''<br />
[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19900Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:35:46Z<p>Radha: /* Notes for teachers */</p>
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19899Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:35:33Z<p>Radha: /* Notes for teachers */</p>
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|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''A plane is a flat surface which can be extended in any directions<br> <br />
coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19898Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:35:05Z<p>Radha: /* Notes for teachers */</p>
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|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''*A plane is a flat surface which can be extended in any directions. <br />
*coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19897Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:34:37Z<p>Radha: /* Notes for teachers */</p>
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|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''*A plane is a flat surface which can be extended in any directions. <br />
*coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19896Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:32:41Z<p>Radha: /* Learning objectives */</p>
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<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19895Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:31:52Z<p>Radha: </p>
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<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19894Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:31:31Z<p>Radha: </p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
== Concept #1Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19892Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:29:26Z<p>Radha: Replaced content with "_{{subst:Math-Content}}"</p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves&diff=19889Connection between algebra and geometry through graphs of lines and curves2015-08-14T06:26:37Z<p>Radha: Created page with "{{subst:Math-Activity}}"</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
<br />
==Estimated Time==<br />
<br />
==Materials/ Resources needed== <br />
==Prerequisites/Instructions, if any==<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
==Developmental Questions (What discussion questions)==<br />
==Evaluation (Questions for assessment of the child)==<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''To link back to the concept page'''<br />
[[Topic Page Link]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Slope_of_parallel_and_perpendicular_lines&diff=19882Slope of parallel and perpendicular lines2015-08-14T06:11:49Z<p>Radha: /* Activity Keywords */</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
'''Parallel lines have the same slope and slope of perpendicular lines are the negative reciprocals of each other'''<br />
<br />
==Estimated Time==<br />
1 Hour<br />
==Materials/ Resources needed== <br />
Geogebra applet<br />
==Prerequisites/Instructions, if any==<br />
#Students should know that every line is a representation of an equation /relation between variables<br />
#Graphing an equation/producing equation by visualising graph<br />
#Students should know what is Slope?<br />
#Similarity of two triangles <br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Play with the following Geogebra applet <br><br />
<br />
[[http://tube.geogebra.org/material/show/id/143280 From this geogebra applet we can visualise that slope of two parallel lines are same and slope of two perpendicular lise are negetive resiprocals of each other]]<br />
<br />
==Developmental Questions (What discussion questions)==<br />
#Move the Blue points observe the changes<br />
#record the Slopes of two lines <br />
#Compare the values<br />
==Evaluation (Questions for assessment of the child)==<br />
Can we prove that the given triangle is Right angled triangle?<br><br />
[[Image:evaluation .png|400px]]<br />
<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinate geometry Page Link]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Slope_of_parallel_and_perpendicular_lines&diff=19881Slope of parallel and perpendicular lines2015-08-14T06:11:29Z<p>Radha: /* Activity Keywords */</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
'''Parallel lines have the same slope and slope of perpendicular lines are the negative reciprocals of each other'''<br />
<br />
==Estimated Time==<br />
1 Hour<br />
==Materials/ Resources needed== <br />
Geogebra applet<br />
==Prerequisites/Instructions, if any==<br />
#Students should know that every line is a representation of an equation /relation between variables<br />
#Graphing an equation/producing equation by visualising graph<br />
#Students should know what is Slope?<br />
#Similarity of two triangles <br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Play with the following Geogebra applet <br><br />
<br />
[[http://tube.geogebra.org/material/show/id/143280 From this geogebra applet we can visualise that slope of two parallel lines are same and slope of two perpendicular lise are negetive resiprocals of each other]]<br />
<br />
==Developmental Questions (What discussion questions)==<br />
#Move the Blue points observe the changes<br />
#record the Slopes of two lines <br />
#Compare the values<br />
==Evaluation (Questions for assessment of the child)==<br />
Can we prove that the given triangle is Right angled triangle?<br><br />
[[Image:evaluation .png|400px]]<br />
<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''To link back to the concept page'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinate geometry Page Link]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Slope_of_parallel_and_perpendicular_lines&diff=19879Slope of parallel and perpendicular lines2015-08-14T06:10:08Z<p>Radha: /* Process (How to do the activity) */</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
'''Parallel lines have the same slope and slope of perpendicular lines are the negative reciprocals of each other'''<br />
<br />
==Estimated Time==<br />
1 Hour<br />
==Materials/ Resources needed== <br />
Geogebra applet<br />
==Prerequisites/Instructions, if any==<br />
#Students should know that every line is a representation of an equation /relation between variables<br />
#Graphing an equation/producing equation by visualising graph<br />
#Students should know what is Slope?<br />
#Similarity of two triangles <br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Play with the following Geogebra applet <br><br />
<br />
[[http://tube.geogebra.org/material/show/id/143280 From this geogebra applet we can visualise that slope of two parallel lines are same and slope of two perpendicular lise are negetive resiprocals of each other]]<br />
<br />
==Developmental Questions (What discussion questions)==<br />
#Move the Blue points observe the changes<br />
#record the Slopes of two lines <br />
#Compare the values<br />
==Evaluation (Questions for assessment of the child)==<br />
Can we prove that the given triangle is Right angled triangle?<br><br />
[[Image:evaluation .png|400px]]<br />
<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''To link back to the concept page'''<br />
[[Topic Page Link]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Slope_of_a_line&diff=19877Slope of a line2015-08-14T06:08:11Z<p>Radha: /* Math Fun */</p>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
<br />
= Concept Map =<br />
__FORCETOC__<br />
= Textbook =<br />
Please click here for Karnataka and other text books.<br />
<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
<br />
[http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/understanding-slope/negative-slope-definition For more video lessons on Slope click]<br><br />
[http://projects.cbe.ab.ca/Aberhart/jkotow/interactives/interactives.htm For playing with Geogebra applets online click]<br />
<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
=='''understanding what is a Slope'''==<br />
===Learning objectives===<br />
#Slope is measure of the steepness of a line. <br />
#Students will understands that slope increases with the steepness.<br />
#Students will recognize and make a connection between the magnitude of the slope and the steepness of a line. <br />
#Students will understands that Slope is a number (magnitude). <br />
#Students understands that Slope is the orientation or inclination of a line with the X-axis.<br />
#Students should also be able to draw a line with a specific slope.<br />
<br />
===Notes for teachers===<br />
Slope is a number which represents the steepness of a line <br />
Students can relate the slope of line to the tangent of the angle of elevation.<br />
<br />
===Activities===<br />
#Activity No #1 '''[[understanding what is Slope of a line]]'''<br />
<br />
=='''Positive and Negetive Slope'''==<br />
===Learning objectives===<br />
#Students should also be able to visualise a line with positive and negetive Slope<br />
#Students should also be able to differentiate a line with positive and negetive Slope<br />
<br />
===Notes for teachers===<br />
If the change in Y with the value of X decreases corresponding line will have Negetive Slope <br />
If the change in Y with the value of X increases corresponding line will have Positive Slope<br><br />
<br />
===Activities===<br />
#Activity No 1[[ Positive and negetive slope]]<br><br />
<br />
=='''Slopes of Parallel and perpendicular lines'''==<br />
#Activity1 [[Slope of parallel and perpendicular lines]]<br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Back to Co-ordinategeometry Topic page]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Positive_and_negetive_slope&diff=19874Positive and negetive slope2015-08-14T06:06:16Z<p>Radha: /* Process (How to do the activity) */</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
#Activity 1 <br>'''Positive and negetive slope'''<br />
<br />
==Estimated Time==<br />
1 Hour<br />
==Materials/ Resources needed== <br />
Graph sheets <br />
==Prerequisites/Instructions, if any==<br />
#students should know what is slope/how to calculate if coordinates of the points on the are given<br />
#basic operation of numbers<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Observe the following table and analyse the relation between X and Y (X,Y).<br>You will find that in one case the value of Y goes on incresing with the value of x ,but in the other case the value of Y goes on decreasing with the value of x.<br />
In both the cases visualise the orientation of line segment.<br />
If the value of Y decrease with the value of X the line will have negetive slope<br />
If the value of Y increse with the value of X the line will have negetive slope<br> <br />
[[Image:Positive and negetive Slope.png|500px]]<br><br />
<br />
<br />
[[http://tube.geogebra.org/material/show/id/138911 This Geogebra applet helps in visualising Positive and negetive Slope]]<br />
<br />
==Developmental Questions (What discussion questions)==<br />
# Observe the points on the graph sheet.Build the relation betwen X and Y values<br />
# Record your observations<br />
<br />
==Evaluation (Questions for assessment of the child)==<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''back to the concept page'''<br />
[[Slope of a line]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Positive_and_negetive_slope&diff=19873Positive and negetive slope2015-08-14T06:05:55Z<p>Radha: /* Process (How to do the activity) */</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
#Activity 1 <br>'''Positive and negetive slope'''<br />
<br />
==Estimated Time==<br />
1 Hour<br />
==Materials/ Resources needed== <br />
Graph sheets <br />
==Prerequisites/Instructions, if any==<br />
#students should know what is slope/how to calculate if coordinates of the points on the are given<br />
#basic operation of numbers<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Observe the following table and analyse the relation between X and Y (X,Y).<br>You will find that in one case the value of Y goes on incresing with the value of x ,but in the other case the value of Y goes on decreasing with the value of x.<br />
In both the cases visualise the orientation of line segment.<br />
If the value of Y decrease with the value of X the line will have negetive slope<br />
If the value of Y increse with the value of X the line will have negetive slope<br> <br />
[[Image:Positive and negetive Slope.png|500px]]<br><br />
[[http://tube.geogebra.org/material/show/id/138911 This Geogebra applet helps in visualising Positive and negetive Slope]]<br />
<br />
==Developmental Questions (What discussion questions)==<br />
# Observe the points on the graph sheet.Build the relation betwen X and Y values<br />
# Record your observations<br />
<br />
==Evaluation (Questions for assessment of the child)==<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''back to the concept page'''<br />
[[Slope of a line]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Positive_and_negetive_slope&diff=19872Positive and negetive slope2015-08-14T06:05:34Z<p>Radha: /* Activity Keywords */</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
#Activity 1 <br>'''Positive and negetive slope'''<br />
<br />
==Estimated Time==<br />
1 Hour<br />
==Materials/ Resources needed== <br />
Graph sheets <br />
==Prerequisites/Instructions, if any==<br />
#students should know what is slope/how to calculate if coordinates of the points on the are given<br />
#basic operation of numbers<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Observe the following table and analyse the relation between X and Y (X,Y).<br>You will find that in one case the value of Y goes on incresing with the value of x ,but in the other case the value of Y goes on decreasing with the value of x.<br />
In both the cases visualise the orientation of line segment.<br />
If the value of Y decrease with the value of X the line will have negetive slope<br />
If the value of Y increse with the value of X the line will have negetive slope<br> <br />
[[Image:Positive and negetive Slope.png|500px]] <br />
<br />
==Developmental Questions (What discussion questions)==<br />
# Observe the points on the graph sheet.Build the relation betwen X and Y values<br />
# Record your observations<br />
<br />
==Evaluation (Questions for assessment of the child)==<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''back to the concept page'''<br />
[[Slope of a line]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Positive_and_negetive_slope&diff=19870Positive and negetive slope2015-08-14T06:04:38Z<p>Radha: /* Activity Keywords */</p>
<hr />
<div>__FORCETOC__<br />
=Activity - Name of Activity=<br />
#Activity 1 <br>'''Positive and negetive slope'''<br />
<br />
==Estimated Time==<br />
1 Hour<br />
==Materials/ Resources needed== <br />
Graph sheets <br />
==Prerequisites/Instructions, if any==<br />
#students should know what is slope/how to calculate if coordinates of the points on the are given<br />
#basic operation of numbers<br />
==Multimedia resources==<br />
==Website interactives/ links/ simulations/ Geogebra Applets==<br />
==Process (How to do the activity)==<br />
Observe the following table and analyse the relation between X and Y (X,Y).<br>You will find that in one case the value of Y goes on incresing with the value of x ,but in the other case the value of Y goes on decreasing with the value of x.<br />
In both the cases visualise the orientation of line segment.<br />
If the value of Y decrease with the value of X the line will have negetive slope<br />
If the value of Y increse with the value of X the line will have negetive slope<br> <br />
[[Image:Positive and negetive Slope.png|500px]] <br />
<br />
==Developmental Questions (What discussion questions)==<br />
# Observe the points on the graph sheet.Build the relation betwen X and Y values<br />
# Record your observations<br />
<br />
==Evaluation (Questions for assessment of the child)==<br />
==Question Corner==<br />
==Activity Keywords==<br />
<br />
'''back to the concept page'''<br />
[[Slope of a line]]<br />
<br />
<br />
[[http://tube.geogebra.org/material/show/id/138911 This Geogebra applet helps in visualising Positive and negetive Slope]]</div>Radhahttps://karnatakaeducation.org.in/KOER/en/index.php?title=Co-ordinate_geometry&diff=19868Co-ordinate geometry2015-08-14T06:02:24Z<p>Radha: /* Activities */</p>
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<br />
<br />
==Concept map==<br />
<br />
<mm>[[Coordinate Geometry.mm]]</mm><br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]<br />
<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here]<br />
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
==Reference Books==<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==<br />
===Learning objectives===<br />
*connection between algebra and geometry through graphs of lines and curves. <br />
*Enabling geometric problems to be solved algebraically <br />
*Geometrically visualising algebra<br />
*introducing to the Cartesian coordinate plane<br />
*plotting points on the plane<br />
*reading coordinates for a point from a graph<br />
<br />
===Notes for teachers===<br />
*A plane is a flat surface which can be extended in any directions. <br />
*coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.<br />
<br />
===Activities===<br />
#'''Familiarising to Cartesian Coordinate system - Activity No 1''' [[http://www.mathopenref.com This source taken from mathopenref.com]]<br />
To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3.<br />
D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.<br> <br />
[[File:table.gif|200px]]<br><br />
'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br><br />
<br />
# '''Idea of introducing to coordinates - Activity No2'''<br />
[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]<br />
<br />
==Concept # 2 Trignometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
<br />
==Concept # 3 Slope of any polynomial function==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 4 data pattern,graph,plotting==<br />
<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 5 Slope of a line/Gradient of a line==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
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<br />
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==Concept # 6 Distance Formula & Section Formula==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
==Concept # 7 Basics of Geometry==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''<br />
<br />
===Activities===<br />
#Activity No #1 '''Concept Name - Activity No.'''<br />
#Activity No #2 '''Concept Name - Activity No.'''<br />
<br />
=Assessment activities for CCE=<br />
<br />
Objectives:<br />
#visualising the coordinates of a given point<br><br />
#Every polynomial equation represents a graph<br><br />
#Position of any object can be represented with a set of coordinates<br><br />
#Visualising Slope and Intercept of a line.<br><br />
#Visualising that parallel lines have same slopes<br><br />
#Slope of a line is same between any two points<br> <br />
<br />
'''WORKING SHEET TO BE GIVEN '''<br><br />
'''NAME OF THE SCHOOL:''' <br><br />
''' Student Name: '''<br> ''' Marks Scored= '''<br><br />
<br />
'''2014-15'''<br><br />
'''10 STD Assessment Activity'''<br><br />
'''UNIT:Coordinate -Geometry Marks:15'''<br><br />
#Locate the position of students of your class on the given graph sheet<br><br />
[[Image:rubrics.png|500px]]<br><br />
<br />
#Analyse the pattern of the points given and find some more points. <br><br />
#Locate those points and join them.<br><br />
#Write the equation represented by the given graph.<br><br />
#Find the Slope and Y-intercept of the graph. <br />
[[Image:Activity Coordinate geometry.png|500px]]<br><br />
#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br><br />
Record your conclusions.<br><br />
[[Image:activity.png|500px]]<br><br />
<br />
= Hints for difficult problems =<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =</div>Radha