Difference between revisions of "Triangles"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
Line 5: Line 5:
 
====OER====
 
====OER====
 
* Web resources:
 
* Web resources:
** [https://en.wikipedia.org/wiki/Triangle Wikipedia, the free encyclopedia]
+
** [https://en.wikipedia.org/wiki/Triangle Wikipedia, the free encyclopedia] : This gives comprehensive information on triangles from basics to in depth understanding of the topic.
 +
** [https://jsuniltutorial.weebly.com/ix-triangles.html cbsemathstudy.blogspot.com] : This 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
Line 16: Line 17:
 
====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
+
** [https://www.brighthubeducation.com/middle-school-math-lessons/39674-triangle-properties-and-angles/ Bright hub education] : This 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
Line 27: Line 25:
  
 
===Learning Objectives===
 
===Learning Objectives===
* Identify a triangle
+
* Identifying a triangle and understanding its formation
* Recognize interior and exterior angles
+
* Recognizing all parameters related to triangles
* Classifying types of triangles
+
* 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===
Line 46: Line 43:
 
# [[Elements of a triangle]]: Terms that are associated with triangle.
 
# [[Elements of a triangle]]: Terms that are associated with triangle.
 
# [[Measures in triangle]]: Parameters that are measured in a triangle.
 
# [[Measures in triangle]]: Parameters that are measured in a triangle.
# [[Interior and exterior angles in triangle]]:  Angles formed when a triangle is formed.           [[Category:Triangles]]
+
# [[Interior and exterior angles in triangle]]:  Angles formed when a triangle is formed.             [[Category:Triangles]]
 
[[Category:Class 8]]
 
[[Category:Class 8]]
  

Revision as of 09:57, 18 April 2019

Concept Map

[maximize]

Additional Resources

OER

  • Web resources:
    • Wikipedia, the free encyclopedia : This gives comprehensive information on triangles from basics to in depth understanding of the topic.
    • cbsemathstudy.blogspot.com : This 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 : This 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

  1. A triangle is a three sided closed figure.
  2. It is one of the basic shapes in geometry.
  3. It triangle is a polygon with three edges and three vertices.
  4. There are three angles in a triangle formed at the three vertices of the triangle.
  5. Interior and exterior angles in a triangle at a vertex, together form a linear pair.
Activities
  1. Formation of a triangle: A plane figure formed by three intersecting lines.
  2. Elements of a triangle: Terms that are associated with triangle.
  3. Measures in triangle: Parameters that are measured in a triangle.
  4. Interior and exterior angles in triangle: Angles formed when a triangle is formed.

Concept 2: Types of triangles based on sides and angles

Types of triangles based on angles in the triangle

  1. Acute triangles are triangles in which the measures of all three angles are less than 90o.
  2. Obtuse triangles are triangles in which the measure of one angle is greater than 90o.
  3. Right triangles are triangles in which the measure of one angle equals 90 degrees.

Types of triangles based on sides in the triangle

  1. Equilateral triangles are triangles in which all three sides are the same length.
  2. Isosceles triangles are triangles in which two of the sides are the same length.
  3. Scalene triangles are triangles in which none of the sides are the same length.

Activities

  1. Types of triangles based on sides: Triangles formed are dependent on measures of sides.
  2. Types of triangles based on angles: Triangles formed are dependent on measures of angles.

Concept 3: Angle sum property

Activities

  1. Angle sum property:

Concept 4: Relation between interior and exterior angles in triangle

Activities

  1. Relation between interior and exterior angles in triangle