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Line 43: + + + + + + − + − {| style="height:10px; float:right; align:center;"+ − |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">+ − ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> − |} − *Estimated Time - 15 minutes − *Materials/ Resources needed − Open space, match sticks, blackboard − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − Ask children to make the letter "Z" from sticks. Each group to make as many Z as possible within 5 minutes. − '''Discussion questions''' − − #How many sticks were needed for 2 "Z"? − #.... − #How many sticks were needed for n "Z"? − #Children have you noticed any relationship between the number of "Z"s formed and the number of sticks used to form the letter "Z"? − Outcome: 3n sticks are required to form "Z" n-times. Children observe the variation in number of sticks when number of "z"s is increased /decreased. − The discussion has ended up with children generalizing the pattern they observed. − #The number of matchstick depended on what? − Outcome: The number of matchstick is a variable and will depend on number of "Z" − *Evaluation − #Ask children to make matchstick patterns for other letters, like "F", "A", "W" − #Make patterns of 1Z, 2Z, 3Z, 4Z and ask children to generalize patterns − *Question Corner − − ===Activity No # === − {| style="height:10px; float:right; align:center;" − |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> − ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> − |} − *Estimated Time − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − + − + − {| style="height:10px; float:right; align:center;"+ − |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">+ − ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> − |} − *Estimated Time − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − − ===Activity No # === − {| style="height:10px; float:right; align:center;" − |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> − ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> − |} − *Estimated Time − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − + + − + Line 133:
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Introduction to algebra (view source)
Revision as of 04:20, 6 February 2020
, 04:20, 6 February 2020no edit summary
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
|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]
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |[http://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://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://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://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://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://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'''].
= Concept Map =
= Concept Map =
[[File:Introduction to algebra.mm|Flash]]
__FORCETOC__
__FORCETOC__
==Useful websites==
==Useful websites==
==Reference Books==
==Reference Books==
http://ncert.nic.in/NCERTS/textbook/textbook.htm?femh1=11-14 <br>
= Teaching Outlines =
= Teaching Outlines =
#Able to extend patterns
#Able to extend patterns
#Able to state observed pattern in generalized terms
#Able to state observed pattern in generalized terms
#Generalization; and stating in algebraic terms
#Algebraic variables can be “x” or “y” or “a” of “b”
#Combining algebraic terms – commutative and distributive properties
#Making simple expressions (addition, subtraction of multiple algebraic terms)
#Introduction to terminology called monomial, binomial, etc.
===Notes for teachers===
===Notes for teachers===
Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization.
Abstraction is generalizing the thinking. So here will focus on activities to build skills of generalization.
===Activity No # ===
===Activities===
#Activity 1 - [[Introduction_to_algebra_abstraction_activity_1|Match stick abstraction]]
#Activity 2 - [[Introduction_to_algebra_abstraction_activity_2|More Match sticks!!]]
#How many sticks were needed for 1 "Z"?
==Concept #2 Algebraic thinking - Analysis==
==Concept #2 Algebraic thinking - Arithmetic Abstraction==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
===Activity No # ===
===Activities===
#Activity 1 -
#Activity 2 -
==Concept #3 Algebraic thinking - Forming expression==
==Concept #3 Algebraic thinking - Forming expression==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
===Activities===
===Activity No # ===
===Activity No # ===
{| style="height:10px; float:right; align:center;"
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|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=noivesiti/305 Click to Comment]''</div>
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*Estimated Time
*Estimated Time
{| style="height:10px; float:right; align:center;"
{| style="height:10px; float:right; align:center;"
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
*Estimated Time
{| style="height:10px; float:right; align:center;"
{| style="height:10px; float:right; align:center;"
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
*Estimated Time
{| style="height:10px; float:right; align:center;"
{| style="height:10px; float:right; align:center;"
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
*Estimated Time