Changes

# Recognize  the triangles based on the measures of the sides

# Recognize  the triangles based on the measures of the sides

* '''Pre-requisites'''

* '''Pre-requisites'''

# Prior knowledge of point, lines, angles, elements of triangle

Prior knowledge of point, lines, angles, elements of triangle

* '''Resources needed'''

* '''Resources needed'''

# Digital : Computer, geogebra  application, projector.

# Digital : Computer, geogebra  application, projector.

# Recognize the triangles based on the measures of the sides

# Recognize the triangles based on the measures of the sides

* '''Pre-requisites'''

* '''Pre-requisites'''

# Prior knowledge of point, lines, angles, elements of triangle

Prior knowledge of point, lines, angles, elements of triangle

* '''Resources needed'''

* '''Resources needed'''

# Digital : Computer, geogebra application, projector.

# Digital : Computer, geogebra application, projector.

# To help visualization of the geometric proof

# To help visualization of the geometric proof

* '''Pre-requisites'''

* '''Pre-requisites'''

Prior understanding of point, lines and angles, adjacent angles, vertically opposite angles, linear pair, parallel lines, alternate angles, corresponding angles.

Prior understanding of point, lines and angles, adjacent angles, vertically opposite angles, linear pair, parallel lines, alternate angles,     corresponding angles.

* '''Resources needed'''

* '''Resources needed'''

1. Digital : Computer, geogebra application, projector.

1. Digital : Computer, geogebra application, projector.

2. Non digital : Worksheet and pencil.

2. Non digital : Worksheet and pencil.

3. Geogebra files : '''“7a. Angles in a right triangle.ggb” , “7b. Angle sum property proof.ggb” , “7c. Angle sum property of a triangle.ggb”'''

3. Geogebra files : '''“7a. Angles in a right triangle.ggb” ,'''

 

'''“7b. Angle sum property proof.ggb” ,'''

 

'''“7c. Angle sum property of a triangle.ggb”'''

* '''How to do'''

* '''How to do'''

# Use the file - “7a. Angles in a right triangle.ggb”

# Use the file - “7a. Angles in a right triangle.ggb”

2. Non digital : Worksheet and pencil.

2. Non digital : Worksheet and pencil.

3. Geogebra files : '''“8a. EA= Sum of opposite IAs in a triangle proof.ggb” ,“8b. EA= Sum of opposite IAs in a triangle.ggb” ,“8c. EA= Sum of opposite IAs in a triangle demo.ggb”'''

3. Geogebra files : '''“8a. EA= Sum of opposite IAs in a triangle proof.ggb” ,'''

* '''How to do'''  1. In the triangle students should identify the angles of the triangle.  2. Extend one side, students should recognize the exterior angle formed.  3. What is the sum of the angles of a triangle?  4. Students should be able to recognize the alternate angle formed for one of the interior angle(Angle BAC)  5. Drag the parallel line to the opposite vertex, to place the alternate angle next to the angle at the opposite vertex.  6. Compare the angles formed and the exterior angle, do they have a relation.  7. How are the two angles together related to the exterior angle?  8. Do you notice any relation between the exterior angle and the interior angles  9. If you know the measure of interior angle can you find the corresponding exterior angle?  10. The other two files can be used to demonstrate the the relation between the exterior angle and opposite interior angles.

 

'''“8b. EA= Sum of opposite IAs in a triangle.ggb” ,'''

 

'''“8c. EA= Sum of opposite IAs in a triangle demo.ggb”'''

* '''How to do'''   

# 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

Note the measure of angles

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* Evaluation at the end of the activity  1. Have the students able to identify the relation between  exterior and interior opposite angles of a triangle?

* Evaluation at the end of the activity   

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