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Line 22: − <mm>[[Theorems on triangle.mm|Flash]]</mm>+ + − To add textbook links, please follow these instructions to: + − ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage]) Line 37:
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Line 83: − + − {| 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 (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 # === − + − + + + + + + + + + + − + − − {| 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 (How to do the activity)''' − * '''Developmental Questions (What discussion questions)''' − * '''Evaluation (Questions for assessment of the child)''' − * '''Question Corner''' − − = Hints for difficult problems = − − − Line 142:
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{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
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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:_History The Story of Mathematics]
[http://www.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://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; "|
| 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:_Pedagogy Teaching of Mathematics]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching 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/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
| 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:_Topics Topics in School Mathematics]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School 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/Text_Books#Mathematics_-_Textbooks Textbooks]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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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/Maths:_Question_Papers Question Bank]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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= Concept Map =
= Concept Map =
[[File:Theorems on triangle.mm|Flash]]
__FORCETOC__
__FORCETOC__
= Textbook =
= Textbook =
Karnataka state textbook: Class 8, Chapter 12-[http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-2.pdf Theorems on triangles]
=Additional Information=
=Additional Information=
# To know about properties of triangle[http://www.mathopenref.com/triangle.html click here]
# To know about properties of triangle[http://www.mathopenref.com/triangle.html click here]
# To learn about angle sum property of the triangle[https://www.wyzant.com/resources/lessons/math/geometry/triangles/angles_of_triangles click here]
# To learn about angle sum property of the triangle[https://www.wyzant.com/resources/lessons/math/geometry/triangles/angles_of_triangles click here]
# Get your students to recognise, use and communicate formally with one another about triangles and their properties, using conventional terminology, i.e., 'mathematical talk'. [http://www.tess-india.edu.in/sites/default/files/imported/57352/SM06_AIE_Final.pdf Click here]
==Reference Books==
==Reference Books==
# TamilNadu text book for theorems on triangle[http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-II-Maths-EM.pdf click here] page no 94-102
# TamilNadu text book for theorems on triangle [http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-II-Maths-EM.pdf click here] page no 94-102
= Teaching Outlines =
= Teaching Outlines =
First teacher can talk about or try to elicit basic points of geometry like lines, collinear and non collinear point, vertices,sides ect. this leads to the triangle definition.Then by using activity try to classify triangle based on side and angles and name them. teacher can also try to elicit live examples for triangle which are seen in daily life. Teacher can use the inducto deductive or CAM method.
First teacher can talk about or try to elicit basic points of geometry like lines, collinear and non collinear point, vertices,sides ect. this leads to the triangle definition.Then by using activity try to classify triangle based on side and angles and name them. teacher can also try to elicit live examples for triangle which are seen in daily life. Teacher can use the inducto deductive or CAM method.
===Activity No # classification of triangle based on sides ===
===Activity No 1 # classification of triangle based on sides ===
{| 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;">
* '''Question Corner'''
* '''Question Corner'''
===Activity No # ===
===Activity No 2 # Interior Angle Sum Property of a triangle ===
{| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
|}
* '''Estimated Time'''
* '''Estimated Time-'''45 minutes
* '''Materials/ Resources needed'''
* '''Materials/ Resources needed'''
* '''Prerequisites/Instructions, if any'''
* chart paper, pencil, scale, protractor
* '''Prerequisites/Instructions, if any''' ''Students need to know:''
** a triangle is a three sided polygon.
** types of triangles by sides and angles.
** the characteristics of triangles by sides and angles.
** facts of supplementary, adjacent and vertical angles.
** write and solve simple linear equations.
* '''Multimedia resources'''
* '''Multimedia resources'''
* Laptop
* '''Website interactives/ links/ Geogebra Applets'''
* '''Website interactives/ links/ Geogebra Applets'''
* Geogebra file on interior angle sum of a triangle, [https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.GEO.407.01&questionId=546667e25aa4130310c1bed3&artifactID=1884324&backUrl=https%3A//www.ck12.org/geometry/triangle-angle-sum-theorem/%23interactive&plix_redirect=1 Lighthouse (ck-12 series)]
* '''Process (How to do the activity)'''
* '''Process (How to do the activity)'''
* Students are taken through an inductive process of constructing a triangle using sliders for length of sides and an angle. The angle slider is moved to generate different types of triangles. The interior angle sum of different types of triangles are compared.
* '''Developmental Questions (What discussion questions)'''
* '''Developmental Questions (What discussion questions)'''
* '''Evaluation (Questions for assessment of the child)'''
* '''Evaluation (Questions for assessment of the child)'''
* '''Question Corner'''
* '''Question Corner'''
==Project Ideas==
===Activity No # ===
= Project Ideas =
= Math Fun =
= Math Fun =
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
[[Category:Class 8]]
[[Category:Triangles]]