Difference between revisions of "Co-ordinate geometry"

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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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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; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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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; " |[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
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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'''].
 
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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==Concept map==
 
==Concept map==
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[[File:Coordinate_Geometry.mm|Flash]]  
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<mm>[[Coordinate Geometry.mm]]</mm>
 
  
 
__FORCETOC__
 
__FORCETOC__
  
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= Textbook =
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== Textbook ==
 
#[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]
 
#[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]
  
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#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]
 
#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]
  
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=Additional Information=
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==Additional Information==
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==Useful websites==
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==Reference Books==
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=== Resources ===
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==== Resource Title ====
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[http://www.mathopenref.com/coordintro.html Introduction to Co-Ordinate Geometry]
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===Useful websites===
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===Reference Books===
  
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= Teaching Outlines =
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== Teaching Outlines ==
  
 
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==
 
==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==
 
===Learning objectives===
 
===Learning objectives===
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*connection between algebra and geometry through graphs of lines and curves.
 
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*Enabling geometric problems to be solved algebraically
 
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*Geometrically visualising algebra
 
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*introducing to the Cartesian coordinate plane
 
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*plotting points on the plane
 
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*reading coordinates for a point from a graph
 
  
 
===Notes for teachers===
 
===Notes for teachers===
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*A plane is a flat surface which can be extended  in any directions.
 
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*coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.
 
  
 
===Activities===
 
===Activities===
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#'''Familiarising to Cartesian Coordinate system - Activity No 1'''  [[http://www.mathopenref.com This source taken from mathopenref.com]]
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Activity #1
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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.
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[[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|] ]
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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>
 
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[[File:table.gif|200px]]<br>
 
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'''The above activity can also be done in a class room by asking to find coordinates of each student's position'''<br>
 
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# '''Idea of introducing to coordinates - Activity No2'''
 
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[[http://tube.geogebra.org/material/show/id/147058 Play with the geogebra applet to familiarise with coordinates]]
 
  
 
==Concept # 2 Trignometry==
 
==Concept # 2 Trignometry==
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===Activities===
 
===Activities===
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#Activity No #1 '''Concept Name - Activity No.'''
 
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[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]
 
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#Activity No #2 '''Concept Name - Activity No.'''
 
  
 
==Concept # 4 data pattern,graph,plotting==
 
==Concept # 4 data pattern,graph,plotting==
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===Activities===
 
===Activities===
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#Activity No #1 '''Concept Name - Activity No.'''
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#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]
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#Activity No #2 '''Concept Name - Activity No.'''
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#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]
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==Concept # 6 Distance Formula & Section Formula==
 
==Concept # 6 Distance Formula & Section Formula==
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===Activities===
 
===Activities===
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[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]
 
#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
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= Math Fun =
 
= Math Fun =
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[[Category:Class 10]]
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[[Category:Co-ordinate Geometry]]

Latest revision as of 16:06, 12 November 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.


Concept map

[maximize]


Textbook

  1. Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry
  1. For NCERT book Co ordinate geometry 9th Std Click Here
  2. For NCERT book Co ordinate geometry 10th Std Click here

Additional Information

Resources

Resource Title

Introduction to Co-Ordinate Geometry

Useful websites

Reference Books

Teaching Outlines

Concept # 1 - Connection between algebra and geometry through graphs of lines and curves

Learning objectives

Notes for teachers

Activities

Activity #1 [between algebra and geometry through graphs of lines and curves| ]

Concept # 2 Trignometry

Learning objectives

Notes for teachers

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.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.


Concept # 3 Slope of any polynomial function

Learning objectives

Notes for teachers

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.

Activities

Concept # 4 data pattern,graph,plotting

Learning objectives

Notes for teachers

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.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept # 5 Slope of a line/Gradient of a line

Learning objectives

Notes for teachers

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.

Activities

  1. Activity No #1[understanding what is a Slope]
  2. Activity No #2[Positive and negetive Slope]

Concept # 6 Distance Formula & Section Formula

Learning objectives

Notes for teachers

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.

Activities

[interactives to understand Distance formula]

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept # 7 Basics of Geometry

Learning objectives

Notes for teachers

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.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Assessment activities for CCE

Objectives:

  1. visualising the coordinates of a given point
  2. Every polynomial equation represents a graph
  3. Position of any object can be represented with a set of coordinates
  4. Visualising Slope and Intercept of a line.
  5. Visualising that parallel lines have same slopes
  6. Slope of a line is same between any two points

WORKING SHEET TO BE GIVEN
NAME OF THE SCHOOL:
Student Name:
Marks Scored=

2014-15
10 STD Assessment Activity
UNIT:Coordinate -Geometry Marks:15

  1. Locate the position of students of your class on the given graph sheet

Rubrics.png

  1. Analyse the pattern of the points given and find some more points.
  2. Locate those points and join them.
  3. Write the equation represented by the given graph.
  4. Find the Slope and Y-intercept of the graph.

Activity Coordinate geometry.png

  1. What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.

Record your conclusions.
Activity.png

Hints for difficult problems

Project Ideas

Math Fun

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