Difference between revisions of "Triangles"

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====OER====
 
====OER====
 
* Web resources:
 
* Web resources:
** [https://en.wikipedia.org/wiki/Triangle Wikipedia, the free encyclopedia]
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** [https://en.wikipedia.org/wiki/Triangle Wikipedia, the free encyclopedia] : The website gives a comprehensive information on triangles from basics to in depth understanding of the topic.
 +
** [https://jsuniltutorial.weebly.com/ix-triangles.html cbsemathstudy.blogspot.com] : The website gives worksheets for the chapters that can be downloaded. Worksheets for other chapters can also be searched for which are listed based on class.
  
 
* Books and journals
 
* Books and journals
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====Non-OER====
 
====Non-OER====
 
* Web resources:
 
* Web resources:
** [https://www.brighthubeducation.com/middle-school-math-lessons/39674-triangle-properties-and-angles/ Bright hub education] : blurb
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** [https://www.brighthubeducation.com/middle-school-math-lessons/39674-triangle-properties-and-angles/ Bright hub education] : The website describes a lesson plan for introducing triangles and lists classroom problems at the end of the lesson that can be solved for better understanding.
*** [https://www.brighthubeducation.com/middle-school-math-lessons/39674-triangle-properties-and-angles/ Basic concepts of triangles,Types of triangles,Angle sum property,Exterior and interior angle relation]
+
** [http://www.cpalms.org/Public/PreviewResourceLesson/Preview/40261 CPALMS] : The website gives lesson plan, activities and worksheets associated with triangles.
*** [http://www.cpalms.org/Public/PreviewResourceLesson/Preview/40261 CPALMS -Introduction to triangles as a closed three sided figure,Inequalities in triangles]
 
*** [http://www.cpalms.org/Public/PreviewResourceLesson/Preview/40261 Inequalities in triangle, Investigate the relationship between the  sides and angles in a triangle]
 
*** [https://jsuniltutorial.weebly.com/ix-triangles.html Test papers for triangles]
 
  
 
* Books and journals
 
* Books and journals
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===Learning Objectives===
 
===Learning Objectives===
* Identify a triangle
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* Identifying a triangle and understanding its formation
* Recognize interior and exterior angles
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* Recognizing all parameters related to triangles
* Classifying types of triangles
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* Understanding formation of triangles based on sides and angles
* Recognize the angle sum property
+
* Establishing relationship between parameters associated with triangles
* Establish relation between interior and exterior angles
 
  
 
===Teaching Outlines===
 
===Teaching Outlines===
  
 
==== Concept 1: Formation of a triangle, elements of a triangle and its measures ====
 
==== Concept 1: Formation of a triangle, elements of a triangle and its measures ====
# A triangle is a three sided closed figure.
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Formation of a geometric shape with minimum number of lines is introduced.The key geometric concepts that are associated with it and its properties are elaborated.
# It is one of the basic shapes in geometry.
 
# It triangle is a polygon with three edges and three vertices.
 
# There are three angles in a triangle formed at the three vertices of the triangle.
 
# Interior and exterior angles in a triangle at a vertex, together form a linear pair.
 
  
 
===== Activities =====
 
===== Activities =====
# [[Formation of a triangle]]: A plane figure formed by three intersecting lines.
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# [[Elements of a triangle]]: Terms that are associated with triangle.
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====== [[Formation of a triangle]]: A plane figure formed by three intersecting lines. ======
# [[Measures in triangle]]: Parameters that are measured in a triangle.
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# [[Interior and exterior angles in triangle]]:  Angles formed when a triangle is formed.           [[Category:Triangles]]
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====== [[Measures in triangle|Elements and measures in triangle]]: Parameters that are associated and measured in a triangle. ======
 +
 
 +
====== [[Interior and exterior angles in triangle]]:  Angles that are formed when a triangle is formed. ======
 +
[[Category:Triangles]]
 
[[Category:Class 8]]
 
[[Category:Class 8]]
  
== Concept 2: Types of triangles based on sides and angles ==
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==== Concept 2: Types of triangles based on sides and angles ====
'''Types of triangles based on angles in the triangle'''
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Triangles can be based on its elements such as sides and angles. Students are able to recognize these formations.
# Acute triangles are triangles in which the measures of all three angles are less than 90<sup>o</sup>.
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===== Activities =====
# Obtuse triangles are triangles in which the measure of one angle is greater than 90<sup>o</sup>.
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# Right triangles are triangles in which the measure of one angle equals 90 degrees.
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====== [[Types of triangles based on sides]]: Formation of a triangle depends on measures of sides. ======
'''Types of triangles based on sides in the triangle'''
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# Equilateral triangles are triangles in which all three sides are the same length.
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====== [[Types of triangles based on angles]]: Formation of a triangle depends on measures of angles. ======
# Isosceles triangles are triangles in which two of the sides are the same length.
 
# Scalene triangles are triangles in which none of the sides are the same length.
 
  
=== Activities ===
+
==== Concept 3: Theorems and properties ====
# [[Types of triangles based on sides]]: Triangles formed are dependent on measures of sides.
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Properties of triangles are logically proved by deductive method. Relations ships between angles of a triangle when a triangle is formed are recognized and understood.  
# [[Types of triangles based on angles]]: Triangles formed are dependent on measures of angles.
 
  
== Concept 3: Angle sum property ==
+
===== Activities  =====
  
=== Activities  ===
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====== [[Angle sum property]] : Relation between angles formed inside a triangle ======
# [[Angle sum property]]:  
 
  
== Concept 4: Relation between interior and exterior angles in triangle ==
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====== [[Relation between interior and exterior angles in triangle|Exterior angle theorem:]] Relation between angles formed inside a triangles and angles outside a triangle ======
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==== Concept 4: Construction of triangles ====
  
=== Activities ===
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==== Concept 5: Concurrency in triangles ====
# [[Relation between interior and exterior angles in triangle]]
 

Revision as of 11:00, 18 April 2019

Concept Map

[maximize]

Additional Resources

OER

  • Web resources:
    • Wikipedia, the free encyclopedia : The website gives a comprehensive information on triangles from basics to in depth understanding of the topic.
    • cbsemathstudy.blogspot.com : The website gives worksheets for the chapters that can be downloaded. Worksheets for other chapters can also be searched for which are listed based on class.
  • Books and journals
  • Textbooks
  • NCERT Textbooks – Class 9
    • Karnataka Govt Text book – Class 8
  • Syllabus documents

Non-OER

  • Web resources:
    • Bright hub education : The website describes a lesson plan for introducing triangles and lists classroom problems at the end of the lesson that can be solved for better understanding.
    • CPALMS : The website gives lesson plan, activities and worksheets associated with triangles.
  • Books and journals
  • Textbooks
  • Syllabus documents (CBSE, ICSE, IGCSE etc)

Learning Objectives

  • Identifying a triangle and understanding its formation
  • Recognizing all parameters related to triangles
  • Understanding formation of triangles based on sides and angles
  • Establishing relationship between parameters associated with triangles

Teaching Outlines

Concept 1: Formation of a triangle, elements of a triangle and its measures

Formation of a geometric shape with minimum number of lines is introduced.The key geometric concepts that are associated with it and its properties are elaborated.

Activities
Formation of a triangle: A plane figure formed by three intersecting lines.
Elements and measures in triangle: Parameters that are associated and measured in a triangle.
Interior and exterior angles in triangle: Angles that are formed when a triangle is formed.

Concept 2: Types of triangles based on sides and angles

Triangles can be based on its elements such as sides and angles. Students are able to recognize these formations.

Activities
Types of triangles based on sides: Formation of a triangle depends on measures of sides.
Types of triangles based on angles: Formation of a triangle depends on measures of angles.

Concept 3: Theorems and properties

Properties of triangles are logically proved by deductive method. Relations ships between angles of a triangle when a triangle is formed are recognized and understood.

Activities
Angle sum property : Relation between angles formed inside a triangle
Exterior angle theorem: Relation between angles formed inside a triangles and angles outside a triangle

Concept 4: Construction of triangles

Concept 5: Concurrency in triangles