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| | ''[http://karnatakaeducation.org.in/KOER/index.php/ಸಮನಾಂತರ_ಚತುರ್ಭಜದ_ಮೇಲಿನ_ಪ್ರಮೇಯಗಳು_ಹಾಗೂ_ಸಮಸ್ಯೆಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div> | | ''[http://karnatakaeducation.org.in/KOER/index.php/ಸಮನಾಂತರ_ಚತುರ್ಭಜದ_ಮೇಲಿನ_ಪ್ರಮೇಯಗಳು_ಹಾಗೂ_ಸಮಸ್ಯೆಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div> |
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| − | [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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| − | [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/Mathematics:_Topics Topics in School Mathematics]
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| − | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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| | = Concept Map = | | = Concept Map = |
| | __FORCETOC__ | | __FORCETOC__ |
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| | =Additional Information= | | =Additional Information= |
| − | These videos provide proofs of theorems related to triangle and parallelogram on the same base and between same parallels | + | # These videos provide proofs of theorems related to triangle and parallelogram on the same base and between same parallels |
| | + | {{#widget:YouTube|id=Jc6GKk5lB5Y}} {{#widget:YouTube|id=AnMogR7Ih_g}} |
| | + | |
| | + | 2. Notes and solved problems (in Kannada) by Yakub Koyyur, GHS Nada, Belthangady Taluk, D.K. |
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| − | {{#widget:YouTube|id=Jc6GKk5lB5Y}} {{#widget:YouTube|id=AnMogR7Ih_g}}
| + | [https://www.slideshare.net/secret/4sN3LIISyt4nmK ಸಮಾಂತರ ಚತುರ್ಭುಜಗಳು ಮತ್ತು ತ್ರಿಭುಜದ ವಿಸ್ತೀರ್ಣಗಳು] |
| | | | |
| | ==Useful websites== | | ==Useful websites== |
| | + | [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== |
| | + | NCERT mathematics- Chapter 9: [http://ncert.nic.in/textbook/pdf/iemh109.pdf#page=1&zoom=auto,-17,728 Areas of parallelograms and triangles] |
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| | = Teaching Outlines = | | = Teaching Outlines = |
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| − | ==Concept #== | + | ==Concept #1. Area of parallelograms on same base and between same parallels== |
| | ===Learning objectives=== | | ===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=== | | ===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.'' | | ''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 # === | | ===Activity No # === |
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | * '''Estimated Time'''
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| − | * '''Prerequisites/Instructions, if any'''
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| − | * '''Website interactives/ links/ Geogebra Applets'''
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| − | * '''Process (How to do the activity)'''
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| − | * '''Developmental Questions (What discussion questions)'''
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| − | * '''Evaluation (Questions for assessment of the child)'''
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| − | * '''Question Corner'''
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| − | ===Activity No # ===
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
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| − | * '''Estimated Time'''
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| − | * '''Materials/ Resources needed'''
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| − | * '''Prerequisites/Instructions, if any'''
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| − | * '''Multimedia resources'''
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| − | * '''Website interactives/ links/ Geogebra Applets'''
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| − | * '''Process (How to do the activity)'''
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| − | * '''Developmental Questions (What discussion questions)'''
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| − | * '''Evaluation (Questions for assessment of the child)'''
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| − | * '''Question Corner'''
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| | + | ==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. |
| | | | |
| − | ==Concept #==
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| − | ===Learning objectives===
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| | ===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.''
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| | ===Activity No # === | | ===Activity No # === |
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
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| − | * '''Estimated Time'''
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| − | * '''Materials/ Resources needed'''
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| − | * '''Developmental Questions (What discussion questions)'''
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| − | * '''Evaluation (Questions for assessment of the child)'''
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| − | * '''Question Corner'''
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| | | | |
| | + | ==Concept #2. Mid-point theorem== |
| | + | ===Learning objectives=== |
| | + | # The segment connecting mid-point of any two sides of a triangle is parallel to the third side |
| | + | # The length of the segment connecting the mid-point of two sides is equal to half the third side. |
| | + | |
| | + | ===Notes for teachers=== |
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| | ===Activity No # === | | ===Activity No # === |
| − | {| style="height:10px; float:right; align:center;"
| + | [[Quadrilaterals-Activity-Mid-point_theorem]] |
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| − | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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| − | |}
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| − | * '''Estimated Time'''
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| − | * '''Question Corner'''
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| | = Hints for difficult problems = | | = Hints for difficult problems = |
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| | {| class="wikitable" | | {| class="wikitable" |
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| − | |'''Sln''' | + | |'''No''' |
| | |'''Explanation''' | | |'''Explanation''' |
| | |''' Analysis''' | | |''' Analysis''' |
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| | = Math Fun = | | = Math Fun = |
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| − | '''Usage'''
| + | [[Category:Class 9]] |
| − | | + | [[Category:Quadrilaterals]] |
| − | Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
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