Sector of a circle
| Philosophy of Mathematics |
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Teaching Outlines
Concept #1 CIRCLE CENTRE
Learning objectives
- Define circle
- give examples for circles
- Locate centre for the given circle.
Notes for teachers
Define circle and centre with the help of a diagram
Activity No # 1 To locate centres for circles
- Estimated Time
20 minutes
- Materials/ Resources needed
For the teacher: chalk piece, geometry set.
for the student: paper
- Prerequisites/Instructions, if any
Instructions for the teacher: Draw few circles of different radii and name the centres
Instructions for the student : name the centres of different circles
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
Identify the centre.
- Evaluation
- How many centres does a circle has?
- Where does the centre of the circle lie? (inside/outside)
- Question Corner
Is there a circle with 3/4/5 centres?
Activity No # 2
- Estimated Time
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- Prerequisites/Instructions, if any
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- Website interactives/ links/ / Geogebra Applets
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- Evaluation
- Question Corner
Concept #2 diameter
Learning objectives
to draw circle
to draw a diamter
use of geometrical instruments
Notes for teachers
explain the concepts using requisite diagrams. Conduct this activity.
Activity No #1
- Estimated Time
20 minutes
- Materials/ Resources needed
different coloured circular cutouts
- Prerequisites/Instructions, if any
- The student should have knowledge of circles.
- The student should have skill of paper folding
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
instructions to the teacher:
The teacher distributes the paper cut outs to all the students.
Ask every student to make 2 equal parts by folding.
What happens if it is folded again to get equal parts?
Ask the students to identify the folded lines/marks
instructions to the student:
fold the paper cut out as per instructions
observe and mark the folded line.
Identity the diameter and radius.
- Evaluation
- Was the student successful in marking radius and diamter?
- Was the student successful in folding and marking?
- Was the student able to relate radius and diameter.
- Question Corner
how many such radii and diameters can be drawn to a given circle?
Activity No #
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- Question Corner
Concept #3 CIRCUMFERENCE
Learning objectives
The student needs to understand that the circumference is the outer boundary of a circle.
Notes for teachers
Explain that every point on the circumference is at equidistant from the centre.
Activity No #1
- Estimated Time
10 minutes.
- Materials/ Resources needed
white paper , compass and colour pencils.
- Prerequisites/Instructions, if any
The student should know to use the compass.
The student should understand the circumference as outer boundary.
- Multimedia resources
Geogebra
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
Instructions to the teachers
Ask the children to draw circles.
Instructions for the students
Colour circumference by fitting small colour pencil in compass itself.
- Evaluation
Observe for the skill in using compass and drawing the circle.
- Question Corner
Is the distance between centre of the circle and its circumference constant ?
What is the distance between the center of a circle and its circumference called?
Concept #4 SEMICIRCLE
Learning objectives
- The student should be able to understand that a diameter divides the circle into two equal halves and each such half is a semicircle or hemicircle.
- The student learns how to form a semicircle by joining any two points on the circumference through its centre .
Notes for teachers
Show children the forming of semicircle by drawing diameter.
Activity No # 1
Bring cut circles of different sizes, fold them into exact halves and help them recognise semicircles. Let them colour each half with different colour.
Sub units of activities:
This is a classroom individual activity.
Materials:
White paper, crayons.
- Estimated Time
15 minutes.
- Materials/ Resources needed
White paper, crayons.
- Prerequisites/Instructions, if any
The students should have prior knowledge of circle and diameter.
- Multimedia resources
Geogebra
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
Instructions to the teacher: Ask children the previous day to cut circles of given radius and bring.
Instructions to the students: Instruct them to fold circle into exact half. Draw diameter on folded line and colour each half with different colour.
- Evaluation
Were the students able to draw and cut perfect circles?
Was the folded line (diameter) passing through the center of circle?
- Question Corner
In how many different ways can you draw semicircles for a given circle?
Activity No #
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Concept #5
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Notes for teachers
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Concept #6
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Concept #7
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Concept #8
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Concept #9
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Concept #10
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