Latest revision as of 05:44, 30 June 2022

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

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Concept Map

[maximize][fold]

Textbook

Karnataka state textbook: Class 8, Chapter 12-Theorems on triangles

Additional Information

This videos is related to types of triangle based on angles and side respectively.

Useful websites

To know about classification of triangleclick here
To know about properties of triangleclick here
To learn about angle sum property of the triangleclick 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'. Click here

Reference Books

TamilNadu text book for theorems on triangle click here page no 94-102

Teaching Outlines

Concept #introduction to triangles

Learning objectives

Define triangle and classify different types of triangle based on sides and angles.

Notes for teachers

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 1 # classification of triangle based on sides

Click to Comment

Estimated Time -30min
Materials/ Resources needed

cut outs of triangle , scale, pencil

Prerequisites/Instructions, if any

should know the meaning of triangle.and triangle is a 2 dimension figure

Multimedia resources

laptop, geogebra file

Website interactive/ links/ Geogebra Applets

Process (How to do the activity)

Divide the class into groups and provide materials for each group
Ask them to measure the length of the each side of the given triangles.
Help them to identify the 3 types of triangles in that given triangles.
ask them to try to name the identified 3 different types of triangle.

Developmental Questions (What discussion questions)

what is the name of the given figure?
how many types of triangle did you found?
what name can you give for all this triangle?

Evaluation (Questions for assessment of the child)

on what basis we classify the triangle?

Question Corner

Activity No 2 # Interior Angle Sum Property of a triangle

Click to Comment

Estimated Time-45 minutes
Materials/ Resources needed
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
Laptop
Website interactives/ links/ Geogebra Applets
Geogebra file on interior angle sum of a triangle, Lighthouse (ck-12 series)
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)
Evaluation (Questions for assessment of the child)
Question Corner

Project Ideas

Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template

@@ Line 5: / Line 5: @@
 {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
 |-
-|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:_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]
-|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/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]
-|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/Text_Books#Mathematics_-_Textbooks Textbooks]
-|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/Maths:_Question_Papers Question Bank]
 |}
@@ Line 22: / Line 22: @@
 = Concept Map =
-<mm>[[Theorems on triangle.mm|Flash]]</mm>
+[[File:Theorems on triangle.mm|Flash]]
 __FORCETOC__
 = Textbook =
-To add textbook links, please follow these instructions to:
+Karnataka state textbook: Class 8, Chapter 12-[http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-2.pdf Theorems on triangles]
-([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 =Additional Information=
@@ Line 37: / Line 37: @@
 # 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]
+# 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==
+# 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 =
-==Concept #==
+==Concept #introduction to triangles==
 ===Learning objectives===
+# Define triangle and classify different types of triangle based on sides and angles.
 ===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.''
+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 # ===
+===Activity No 1 # classification of triangle based on sides ===
 {| 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'''
+* '''Estimated Time''' -30min
 * '''Materials/ Resources needed'''
+cut outs of triangle , scale, pencil
 * '''Prerequisites/Instructions, if any'''
+should know the meaning of triangle.and triangle is a 2 dimension figure
 * '''Multimedia resources'''
-* '''Website interactives/ links/ Geogebra Applets'''
+laptop, geogebra file
+* '''Website interactive/ 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 # ===
+# Divide the class into groups and provide materials for each group
-{| style="height:10px; float:right; align:center;"
+# Ask them to measure the length of the each side of the given triangles.
-|<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;">
+# Help them to identify the 3 types of triangles in that given triangles.
-''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+# ask them to try to name the identified 3 different types of triangle.
-|}
-* '''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)'''
+# what is the name of the given figure?
+# how many types of triangle did you found?
+# what name can you give for all this triangle?
 * '''Evaluation (Questions for assessment of the child)'''
-* '''Question Corner'''
+# on what basis we classify the triangle?
-==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'''
+===Activity No 2 # Interior Angle Sum Property of a triangle ===
-===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'''
+* '''Estimated Time-'''45 minutes
 * '''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'''
+* Laptop
 * '''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)'''
+* 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)'''
 * '''Evaluation (Questions for assessment of the child)'''
 * '''Question Corner'''
-= Hints for difficult problems =
+==Project Ideas==
-= Project Ideas =
 = Math Fun =
@@ Line 123: / Line 113: @@
 Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
+[[Category:Class 8]]
+[[Category:Triangles]]

Difference between revisions of "Theorems On Triangles"