Difference between revisions of "Equal parts in a circle"
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=== Objectives === | === Objectives === | ||
| − | + | To divide a circle into equal parts | |
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===Estimated Time=== | ===Estimated Time=== | ||
| + | 30 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
| + | Prior knowledge of point, lines, angles, polygons | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
| + | * Digital : Computer, geogebra application, projector. | ||
| + | * Non digital : Worksheet and pencil, compass, strings | ||
| + | * Geogebra files : Equal parts in a circle .ggb | ||
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===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
| − | + | * Plot 4points on the circle; join these points to the center of the circle. Are all the parts equal? | |
| − | + | * How many parts is the circumference divided into? Identify the part of the circumference that is the largest? | |
| − | + | * If the segments connecting the points to the center are equal, what is it that makes the part bigger than the others? | |
| − | + | * Establish concept of '''arc.''' | |
| − | + | * Which of these parts the largest? How can you say it is largest? Which parameter defines the largeness? | |
| − | + | * What do you notice about the angles made at center by the four parts of the circle. Which part of the circle has the largest angle? | |
| − | + | * What is each part of the circle called? - Establish sector | |
| − | + | * When will all the four parts of the circle be equal? | |
| − | + | * What is the total angle made at the center of the circle? | |
Revision as of 15:53, 7 May 2019
Objectives
To divide a circle into equal parts
Estimated Time
30 minutes
Prerequisites/Instructions, prior preparations, if any
Prior knowledge of point, lines, angles, polygons
Materials/ Resources needed
- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil, compass, strings
- Geogebra files : Equal parts in a circle .ggb
Process (How to do the activity)
- Plot 4points on the circle; join these points to the center of the circle. Are all the parts equal?
- How many parts is the circumference divided into? Identify the part of the circumference that is the largest?
- If the segments connecting the points to the center are equal, what is it that makes the part bigger than the others?
- Establish concept of arc.
- Which of these parts the largest? How can you say it is largest? Which parameter defines the largeness?
- What do you notice about the angles made at center by the four parts of the circle. Which part of the circle has the largest angle?
- What is each part of the circle called? - Establish sector
- When will all the four parts of the circle be equal?
- What is the total angle made at the center of the circle?