Difference between revisions of "Elements of a triangle"
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Line 6: | Line 6: | ||
===Estimated Time=== | ===Estimated Time=== | ||
− | === Prerequisites/Instructions, prior preparations, if any === | + | === Prerequisites/ Instructions, prior preparations, if any === |
Prior knowledge of point, lines, angles, parallel lines | Prior knowledge of point, lines, angles, parallel lines | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
− | *Digital : Computer, | + | *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://www.geogebra.org/m/bwsvgqqg#material/hyecxd9u Elements of a triangle.ggb]”''' | *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. | + | *-----Students work individually but in their groups. |
*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? | ||
Line 21: | Line 21: | ||
*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 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? | *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? | + | *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 | *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? | *How many triangles were formed? Were there any strings left over? |
Revision as of 09:54, 12 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
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? 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?