Difference between revisions of "Elements of a triangle"
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===Estimated Time=== | ===Estimated Time=== | ||
+ | 40 minutes | ||
=== Prerequisites/ Instructions, prior preparations, if any === | === Prerequisites/ Instructions, prior preparations, if any === | ||
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*Digital : Computer, Geogebra application, projector. | *Digital : Computer, Geogebra application, projector. | ||
*Non digital : Worksheet and pencil,6-8 strings (preferably in different colours) | *Non digital : Worksheet and pencil,6-8 strings (preferably in different colours) | ||
− | *Geogebra files : '''“[https:// | + | *Geogebra files : '''“[https://ggbm.at/hyecxd9u Elements of a triangle.ggb]”''' |
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
− | * | + | *Student groups can be formed, students in their group do the following activity individually. |
*Take the strings and place them in such a way as to make a closed figure. | *Take the strings and place them in such a way as to make a closed figure. | ||
*What is the smallest number of strings with which you can form a closed figure? | *What is the smallest number of strings with which you can form a closed figure? | ||
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!Vertices!!Sides!!Angles | !Vertices!!Sides!!Angles | ||
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* For each of the triangles observe (inspect visually) which is the longest side and which is the shortest side | * For each of the triangles observe (inspect visually) which is the longest side and which is the shortest side | ||
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!Smallest side | !Smallest side | ||
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− | + | '''Evaluation at the end of the activity''' | |
− | + | *Have the students been able to identify the elements in a triangle? | |
− | + | *Have they been able to extrapolate any connection between the angle and side in a triangle? | |
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+ | [[Category:Triangles]] |
Latest revision as of 16:20, 15 April 2019
Elements of a triangle are the angles that are formed when three lines intersect and the segments that mark the triangle are sides.
Objectives
- To understand the elements of a triangle
Estimated Time
40 minutes
Prerequisites/ Instructions, prior preparations, if any
Prior knowledge of point, lines, angles, parallel lines
Materials/ Resources needed
- Digital : Computer, Geogebra application, projector.
- Non digital : Worksheet and pencil,6-8 strings (preferably in different colours)
- Geogebra files : “Elements of a triangle.ggb”
Process (How to do the activity)
- Student groups can be formed, students in their group do the following activity individually.
- Take the strings and place them in such a way as to make a closed figure.
- What is the smallest number of strings with which you can form a closed figure?
- What is this figure called?
- Can you just draw the lines along the strings and see what you get?
- When you drew, what did you draw? (Was it a line or was it an angle or was it a line segment?). It is a lime segment – how many line segments are there?
- When two line segments joined, what is it called? (A vertex). How many vertices are there?
- Is there any angle formed when you made this figure? How many angles were formed? How many angles lie within the closed figure?
- Show a simple Geogebra file with triangles – Use this file to demonstrate that every triangle has the elements - vertices, sides and angles
- How many triangles were formed? Were there any strings left over?
- For each of the triangles trace the shape on the book and write down the elements of the triangle in the following format
Vertices | Sides | Angles |
---|---|---|
. | ||
. | ||
. |
- For each of the triangles observe (inspect visually) which is the longest side and which is the shortest side
Triangle name | Largest angle | Largest side | Smallest angle | Smallest side |
---|---|---|---|---|
. | ||||
. | ||||
. |
- Allow the students to explore if there is any connection between the two?
- After the students see the Geogebra file, they can attempt an alternative worksheet like below
Side 1 | Angle 1
(opposite angle) |
! Side 2 | Angle 2
(opposite angle) |
! Side 3 | Angle 3
(opposite angle) |
! Largest side and angle
ex-side1,angle1 |
! Smallest side and angle
ex-side3,angle3 |
---|---|---|---|---|---|---|---|
. | |||||||
. | |||||||
. |
Evaluation at the end of the activity
- Have the students been able to identify the elements in a triangle?
- Have they been able to extrapolate any connection between the angle and side in a triangle?