Difference between revisions of "Sector of a circle"
| Line 166: | Line 166: | ||
What is the distance between the center of a circle and its circumference called? | What is the distance between the center of a circle and its circumference called? | ||
| − | ==Concept #4== | + | ==Concept #4 SEMICIRCLE== |
| − | ===Learning objectives=== | + | ==='''Learning objectives'''=== |
| − | ===Notes for teachers=== | + | * 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.<br> |
| − | ===Activity No # === | + | * 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.<br> | ||
| + | |||
| + | '''Sub units of activities:'''<br> | ||
| + | This is a classroom individual activity.<br> | ||
| + | '''Materials:''' | ||
| + | White paper, crayons. | ||
{| style="height:10px; float:right; align:center;" | {| style="height:10px; float:right; align:center;" | ||
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | |<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"> | ||
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | ||
|} | |} | ||
| − | *Estimated Time | + | *'''Estimated Time''' |
| − | *Materials/ Resources needed | + | 15 minutes. |
| − | *Prerequisites/Instructions, if any | + | *'''Materials/ Resources needed''' |
| − | *Multimedia resources | + | 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 | *Website interactives/ links/ / Geogebra Applets | ||
| − | *Process/ Developmental Questions | + | *'''Process/ Developmental Questions''' |
| − | *Evaluation | + | '''Instructions to the teacher:''' |
| − | *Question Corner | + | 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?<br> | ||
| + | Was the folded line (diameter) passing through the center of circle?<br> | ||
| + | *'''Question Corner''' | ||
| + | In how many different ways can you draw semicircles for a given circle? | ||
===Activity No # === | ===Activity No # === | ||
Revision as of 17:37, 3 September 2013
| Philosophy of Mathematics |
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Concept Map
Error: Mind Map file CIRCLES BASIC TERMS..mm not found
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Additional Information
Useful websites
Reference Books
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
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 #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Concept #5
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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 #6
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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 #7
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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 #8
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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 #9
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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 #10
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
Hints for difficult problems
Project Ideas
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