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Quadratic Equations (view source)

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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:_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 =

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== Concept Map ==

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~~<mm>~~[[Quadratic_Equations.mm|Flash]]~~</mm>~~

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[[File:Quadratic_Equations.mm|Flash]]

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__FORCETOC__

__FORCETOC__

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= Textbook =

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== Textbook ==

Please click here for Karnataka and other text books.

Please click here for Karnataka and other text books.

#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter09.pdf Karnataka text book for Class 10, Chapter 09 - Quadratic Equations]

#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter09.pdf Karnataka text book for Class 10, Chapter 09 - Quadratic Equations]

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#[http://nimsdxb.com/wp-content/uploads/Unit-4_Quadratic_Equations_Core.pdf/ cbse text book]

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==Additional Information==

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{{#widget:Iframe |url=http://www.slideshare.net/slideshow/embed_code/10549763|width=450 |height=360 |border=1 }}

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===Useful websites===

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[https://in.ixl.com/search?q=quadratic+equation/ For more information about quadratic equation]

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===Reference Books===

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[[Text_Books| relevent references]]

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=== Resources ===

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=~~Additional Information~~=

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==== Resource Title ====

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==~~Useful websites~~==

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[http://www.mathopenref.com/quadraticexplorer.html Quadratic Function Explorer]

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~~click here~~

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[~~https~~://in.~~ixl~~.com/~~search?q=quadratic+equation/ more information about quadratic equation~~]

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==~~Reference Books~~==

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==== Description ====

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This interactive activity helps you realize the action of the three coefficients a, b, c in a quadratic equation.

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= Teaching Outlines =

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== Teaching Outlines ==

==Concept #1 - Introduction to quadratic equations==

==Concept #1 - Introduction to quadratic equations==

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#Activity No 1 '''[[Quadratic_equations_introduction_to_quadratic_equation_activity_1|Introduction to quadratic equation]]'''

#Activity No 1 '''[[Quadratic_equations_introduction_to_quadratic_equation_activity_1|Introduction to quadratic equation]]'''

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#Activity No 2 '''[[Quadratic_equations_introduction_to_quadratic_equation_actvity 2| Making a rectangular garden]]

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#Activity No 2 '''[[Quadratic_equations_introduction_to_quadratic_equation_actvity 2| Making a rectangular garden]]'''

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#Activity No 3 '''[[Quadratic_equations_introduction_to_quadratic_equation_activity 3| Understanding<math> ax^2+bx+c=0</math> geometrically]]

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#Activity No 3 '''[[Quadratic_equations_introduction_to_quadratic_equation_activity 3| Understanding<math> ax^2+bx+c=0</math> geometrically]]'''

==Concept #2 - Types of equations==

==Concept #2 - Types of equations==

===Pure Quadratic Equation & Adfected Quadratic Equation===

===Pure Quadratic Equation & Adfected Quadratic Equation===

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Quadratic equation,in the form <math>ax^2+bx+c = 0</math>, is termed as quadratic expression and the equation of the form <math>ax^2+bx+c = 0</math>, a≠0 is called quadratic equation in x. This equation is also known to be pure quadratic equation if the value of b is zero i.e. b=0. Otherwise it is said to be adfected. The letters a, b, and c are called coefficients: and c is the constant coefficient.

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===Learning objectives===

===Learning objectives===

#To distinguish between pure & adfected equations among the given equations.

#To distinguish between pure & adfected equations among the given equations.

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===Activities===

===Activities===

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~~#Activity No #1~~ '''[[Identifying pure and adfected ouadratic equations- Activity No1]]'''

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'''[[Identifying pure and adfected ouadratic equations- Activity No1]]'''

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~~#Activity No #2~~ '''[[http://~~in.ask~~.com/~~youtube?q=~~quadratic~~+equations+class+10&v=ViblRRhFamA&qsrc=472%7C]]~~

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'''[http://mathworksheets4kids.com/equations/quadratic.html/ work sheet Activity No2]'''

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~~'''To link back to the concept page'''~~

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~~[[Topic Page Link~~]]

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~~'''To link back to the concept page~~'''

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~~[[Quadratic_Equations]]~~

==Concept #3 What is the solution of a quadratic equation==

==Concept #3 What is the solution of a quadratic equation==

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===Activities===

===Activities===

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#Activity No #1 ~~'''Concept Name -~~ Activity No.

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#Activity No #1 #Activity No 3-[http://www.projectmaths.ie/students/strand4JC/student-activity-quadratic-formula.pdf| quadratic formula]<br>

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#Activity No #2 '''Concept Name - Activity No

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#Activity No #2 '''Concept Name - Activity No'''

==Concept #4Methods of solution==

==Concept #4Methods of solution==

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#Deriving formula to find the roots of quadratic equation.

#Deriving formula to find the roots of quadratic equation.

#Solving quadratic equation by using formula.<br>

#Solving quadratic equation by using formula.<br>

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~~[http://en.wikipedia.org/wiki/Quadratic_equation]~~

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#Solving quadratic equation graphically.<br>

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#Solving quadratic equation graphically.<br>To find the sum and product of the roots of the quadratic equations.

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#To find the sum and product of the roots of the quadratic equations.

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~~[https://www.geogebratube.org/student/m8358]~~

===Notes for teachers===

===Notes for teachers===

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~~''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.''~~

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*Students need to know factorisation

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*substitution of values and simplification

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*Identifying suitable method

===Activities===

===Activities===

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#Activity No 1 [https://www.geogebratube.org/material/iframe/id/8357/width/968/height/487/border/888888/rc/false/ai/false/sdz/true/smb/false/stb/false/stbh/true/ld/false/sri/true/at/preferhtml5| geogebra]

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#Activity No 1 -[https://www.geogebratube.org/material/iframe/id/8357/width/968/height/487/border/888888/rc/false/ai/false/sdz/true/smb/false/stb/false/stbh/true/ld/false/sri/true/at/preferhtml5| geogebra]

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#Activity No 2-[http://www.wikihow.com/Solve-Quadratic-Equations/ learn more how to solve Q.E]

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#Activity No 2

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#Activity 3-[http://www.learnnc.org/lp/pages/2981| learn quadratics]

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#Activity 4- [[Quadratic Equation solution activity1|Quadratic Equation solution]]

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[http://www.~~projectmaths~~.ie/~~students/strand4JC/student~~-~~activity~~-~~quadratic-formula~~.~~pdf| quadratic formula~~]~~<br>~~

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#Activity 3

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[http://www.learnnc.org/lp/pages/2981| learn quadratics]

==Concept #5'''Nature of roots'''==

==Concept #5'''Nature of roots'''==

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===Notes for teachers===

===Notes for teachers===

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~~''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.''~~

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Guiding in Identifying the nature based on the value of discriminant

===Activities===

===Activities===

#Activity No #1 '''Concept Name - Activity No.'''[http://interpret the nature of roots/ interpret the nature of the roots]

#Activity No #1 '''Concept Name - Activity No.'''[http://interpret the nature of roots/ interpret the nature of the roots]

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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="true" showToolBar="true" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />| interpret the nature of roots]

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

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

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===Notes for teachers===

===Notes for teachers===

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~~''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~~.''

+

Help the students in Identifying parameters and suitable methods for solving application problems.

===Activities===

===Activities===

−

#Activity No #1 ~~'''applications - .'''~~

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#Activity No #1 [https://www.youtube.com/watch?v=IGGnn9oa4QYz| more word problems]

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[https://www.youtube.com/watch?v=IGGnn9oa4QYz| more word problems]

#Activity 2:[http://www.ehow.com/info_8502727_applications-quadratic-equations.html| quadratics in real life]

#Activity 2:[http://www.ehow.com/info_8502727_applications-quadratic-equations.html| quadratics in real life]

−

~~'''to link back to content page'''~~

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=Assessment activities for CCE=

−

−

~~'''To link back to the concept page'''~~

−

~~[[Topic Page Link]]~~

−

~~#Activity No #2 '''Concept Name - Activity No.'''~~

−

−

Assessment activities for CCE=

.[Http://Tube.geogebra.org/m/105393c|quadratic quiz]

.[Http://Tube.geogebra.org/m/105393c|quadratic quiz]

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[[solution]]

[[solution]]

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~~'''To link back to the concept page'''~~

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[[Category:Class 10]]

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[[~~Topic Page Link~~]]

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[[Category:Quadratic Equations]]

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