Difference between revisions of "Theorems and problems on parallelograms"

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=Additional Information=
 
=Additional Information=
This video proves the theorem-If a triangle and paralleologram are on the same base and between same parallels, then the area of triangle is equal to half of the parallelogram
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These videos provide proofs of theorems related to triangle and parallelogram on the same base and between same parallels
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{{#widget:YouTube|id=Jc6GKk5lB5Y}}        {{#widget:YouTube|id=AnMogR7Ih_g}}
  
{{#widget:YouTube|id=Jc6GKk5lB5Y}}
 
 
==Useful websites==
 
==Useful websites==
 
==Reference Books==
 
==Reference Books==

Revision as of 10:40, 11 October 2017

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

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Textbook

Karnataka state textbook :Chapter 9

Additional Information

These videos provide proofs of theorems related to triangle and parallelogram on the same base and between same parallels

Useful websites

Reference Books

Teaching Outlines

Concept #

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.

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ Geogebra Applets
  • Process (How to do the activity)
  • Developmental Questions (What discussion questions)
  • Evaluation (Questions for assessment of the child)
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ Geogebra Applets
  • Process (How to do the activity)
  • Developmental Questions (What discussion questions)
  • Evaluation (Questions for assessment of the child)
  • Question Corner


Concept #

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.

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ Geogebra Applets
  • Process (How to do the activity)
  • Developmental Questions (What discussion questions)
  • Evaluation (Questions for assessment of the child)
  • Question Corner


Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ Geogebra Applets
  • Process (How to do the activity)
  • Developmental Questions (What discussion questions)
  • Evaluation (Questions for assessment of the child)
  • Question Corner

Hints for difficult problems

Here is a micro analysis of solution for a problem [geometry_problemsolving.odt here]

Sln Explanation Analysis
1 Parall.png Drawing ABCD.Cyclic orderD above
2 AB=CD=4X Propertiesof parallelogram
3 AD=BC=2X+1 Propertiesof parallelogram
4 AD=BC=2X+1 Propertiesof parallelogram 5 AD=BC=2X+1 Propertiesof parallelogram
6 AD=BC=2X+1 Propertiesof parallelogram
7 AD=BC=2X+1 Propertiesof parallelogram
8 AD=BC=2X+1 Propertiesof parallelogram

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