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
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- 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 #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- 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
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Hints for difficult problems
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