Difference between revisions of "Elements of a triangle"
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| − | === | + | === Objectives === |
| − | + | * To understand the elements of a triangle | |
| − | |||
| − | |||
| − | |||
===Estimated Time=== | ===Estimated Time=== | ||
| Line 11: | Line 8: | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
| − | + | *Digital : Computer, geogebra application, projector. | |
| − | + | *Non digital : Worksheet and pencil,6-8 strings (preferably in different colours) | |
| − | + | *Geogebra files : '''“[https://www.geogebra.org/m/bwsvgqqg#material/hyecxd9u Elements of a triangle.ggb]”''' | |
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
| − | + | *Students work individually but in their groups. | |
| − | + | *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? | |
| − | + | *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 | |
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 35: | Line 32: | ||
|- | |- | ||
||||| | ||||| | ||
| − | |} | + | |} |
| + | * For each of the triangles observe (inspect visually) which is the longest side and which is the shortest side | ||
{| class="wikitable" | {| class="wikitable" | ||
!Triangle name | !Triangle name | ||
| Line 45: | Line 43: | ||
| | | | ||
| | | | ||
| − | | | + | | |
| − | |||
| − | |||
| | | | ||
| | | | ||
| Line 63: | Line 59: | ||
| | | | ||
|} | |} | ||
| − | + | * 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 | |
| − | + | {| class="wikitable" | |
| + | |- | ||
| + | !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? | ||
Revision as of 10:15, 12 April 2019
Objectives
- To understand the elements of a triangle
Estimated Time
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)
- Students work individually but in their groups.
- 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?
- 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?