Difference between revisions of "Theorems and problems on parallelograms"

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==Useful websites==
 
==Useful websites==
 
[http://www.homeschoolmath.net/teaching/g/area_3.php Exercises on area of parallelograms and triangles]
 
[http://www.homeschoolmath.net/teaching/g/area_3.php Exercises on area of parallelograms and triangles]
 +
 +
[http://www.math-only-math.com/triangle-on-same-base-and-between-same-parallels.html Solved examples for triangles on same base and between parallels]
  
 
==Reference Books==
 
==Reference Books==

Revision as of 14:18, 16 October 2017

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

Textbook

Karnataka state textbook :Chapter 9

Additional Information

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

2. Notes and solved problems (in Kannada) by Yakub Koyyur, GHS Nada, Belthangady Taluk, D.K.

ಸಮಾಂತರ ಚತುರ್ಭುಜಗಳು ಮತ್ತು ತ್ರಿಭುಜದ ವಿಸ್ತೀರ್ಣಗಳು

Useful websites

Exercises on area of parallelograms and triangles

Solved examples for triangles on same base and between parallels

Reference Books

NCERT mathematics- Chapter 9: Areas of parallelograms and triangles

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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