Difference between revisions of "Relation between interior and exterior angles in triangle"

Revision as of 05:31, 12 April 2019

Objectives

To show interior angles of a triangle have a relation with its exterior angles.

Estimated Time

Prerequisites/Instructions, prior preparations, if any

Prior understanding of point, lines and angles, adjacent angles, vertically opposite angles, linear pair

Materials/ Resources needed

Digital : Computer, geogebra application, projector.
Non digital : Worksheet and pencil.
Geogebra files :
1. “8a. EA= Sum of opposite IAs in a triangle proof.ggb” ,
2. “8b. EA= Sum of opposite IAs in a triangle.ggb” ,
3. “8c. EA= Sum of opposite IAs in a triangle demo.ggb”

Process (How to do the activity)

In the triangle students should identify the angles of the triangle.
Extend one side, students should recognize the exterior angle formed.
What is the sum of the angles of a triangle?
Students should be able to recognize the alternate angle formed for one of the interior angle(Angle BAC)
Drag the parallel line to the opposite vertex, to place the alternate angle next to the angle at the opposite vertex.
Compare the angles formed and the exterior angle, do they have a relation.
How are the two angles together related to the exterior angle?
Do you notice any relation between the exterior angle and the interior angles
If you know the measure of interior angle can you find the corresponding exterior angle?
The other two files can be used to demonstrate the the relation between the exterior angle and opposite interior angles.
Note the measure of angles
{| class="wikitable" !Triangle !Angle A !Angle B !Angle C !Exterior angle !Angle A + Angle B |- |Triangle1 | | | | | |- |Triangle2 | | | | | |- |Triangle3 | | | | | |}

Evaluation at the end of the activity

Have the students able to identify the relation between exterior and interior opposite angles of a triangle?

@@ Line 1: / Line 1: @@
-===Name of the activity===
-Brief blurb describing what the activity.  If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
 === Objectives ===
-Content objectives  - what content areas
+To show interior angles of a triangle have a relation with its exterior angles.
-Skill objectives - what specific skills
-Classroom objectives - to demo peer learning, to make a classroom resource, etc -
-All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 ===Estimated Time===
 === Prerequisites/Instructions, prior preparations, if any ===
+Prior understanding of point, lines and angles, adjacent angles, vertically opposite angles, linear pair
 ===Materials/ Resources needed===
+*Digital : Computer, geogebra application, projector.
+*Non digital : Worksheet and pencil.
+*Geogebra files :
+*#'''“[https://ggbm.at/a33ygakp 8a. EA= Sum of opposite IAs in a triangle proof.ggb]” ,'''
+*#'''“[https://ggbm.at/rq7tx8kn 8b. EA= Sum of opposite IAs in a triangle.ggb]” ,'''
+*#'''“[https://ggbm.at/gjwtzucu 8c. EA= Sum of opposite IAs in a triangle demo.ggb]”'''
 ===Process (How to do the activity)===
-How to do the different steps of the activity?
+*In the triangle students should identify the angles of the triangle.
+*Extend one side, students should recognize the exterior angle formed.
-What kinds of questions you can ask for that activity
+*What is the sum of the angles of a triangle?
+*Students should be able to recognize the alternate angle formed for one of the interior angle(Angle BAC)
-What are the student follow-up activities/ questions you can give?
+*Drag the parallel line to the opposite vertex, to place the alternate angle next to the angle at the opposite vertex.
+*Compare the angles formed and the exterior angle, do they have a relation.
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+*How are the two angles together related to the exterior angle?
+*Do you notice any relation between the exterior angle and the interior angles
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+*If you know the measure of interior angle can you find the corresponding exterior angle?
+*The other two files can be used to demonstrate the the relation between the exterior angle and opposite interior angles.
+*Note the measure of angles
+* {| class="wikitable" !Triangle !Angle A !Angle B !Angle C !Exterior angle !Angle A + Angle B |- |Triangle1 | | | | | |- |Triangle2 | | | | | |- |Triangle3 | | | | | |}
+'''Evaluation at the end of the activity'''
+* Have the students able to identify the relation between  exterior and interior opposite angles of a triangle?