Difference between revisions of "Theorems and problems on parallelograms"

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= Concept Map =
 
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* '''Estimated Time'''
 
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* '''Website interactives/ links/ Geogebra Applets'''
 
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* '''Developmental Questions (What discussion questions)'''
 
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* '''Estimated Time'''
 
* '''Materials/ Resources needed'''
 
* '''Prerequisites/Instructions, if any'''
 
* '''Multimedia resources'''
 
* '''Website interactives/ links/ Geogebra Applets'''
 
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1. Triangles on same base and between same parallels have equal area.
 
1. Triangles on same base and between same parallels have equal area.
  
2. Area of a triangle is half the product of its base and the corresponding altitude.
+
2s. Area of a triangle is half the product of its base and the corresponding altitude.
  
 
3. Triangles on the same base and of equal area lie between the same parallels.
 
3. Triangles on the same base and of equal area lie between the same parallels.
  
 
===Notes for teachers===
 
===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 # ===
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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* '''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 # ===
 
===Activity No # ===
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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;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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* '''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)'''
 
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= Hints for difficult problems =
 
'''Here is a micro analysis of solution for a problem'''
 
'''Here is a micro analysis of solution for a problem'''
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[[Category:Class 9]]
 
[[Category:Class 9]]
 
[[Category:Quadrilaterals]]
 
[[Category:Quadrilaterals]]

Revision as of 08:14, 3 November 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

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 #1. Area of parallelograms on same base and between same parallels

Learning objectives

1. Parallelograms on the same base and between same parallels are equal in area.

2. Area of a parallelogram is the product of its base and the corresponding altitude.

3. Parallelograms on the same base and having equal area lie between same parallels.

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 #

Concept #2. Area of triangles on same base and between same parallels

Learning objectives

1. Triangles on same base and between same parallels have equal area.

2s. Area of a triangle is half the product of its base and the corresponding altitude.

3. Triangles on the same base and of equal area lie between the same parallels.

Notes for teachers

Activity No #

Hints for difficult problems

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

No 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

|}

Project Ideas

Math Fun