Difference between revisions of "Sector of a circle"

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Slice of a circle enclosed between any two radii is called a sector.Semicircle and quadrant are special types of sectors.
  
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=== Objectives ===
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* To understand area enclosed by two radii is sector.
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===Estimated Time===
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*15 minutes
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===Prerequisites/Instructions, prior preparations, if any===
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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* The students should know a circle, centre, radius,circumference and a sector.
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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* They should know that circle is a planar figure.
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
 
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
 
  
= Concept Map =
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===Materials/ Resources needed===
<mm>[[CIRCLES BASIC TERMS..mm|Flash]]</mm>>
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Non digital: Laptop, geogebra file, projector and a pointer.
__FORCETOC__
 
  
= Textbook =
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Geogebra file: [https://ggbm.at/fqssprue Arcs and Sector of a circle]
To add textbook links, please follow these instructions to:  
 
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 
  
=Additional Information=
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{{Geogebra|fqssprue}}
==Useful websites==
 
==Reference Books==
 
  
= Teaching Outlines =
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===Process (How to do the activity)===
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<span></span><span></span>
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# Move the endpoints of the sector and help them understand the types of sector.
  
==Concept #1 CIRCLE CENTRE==
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# Name all the points on the circumference.
===Learning objectives===
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# Name the endpoints of the sector.
#Define circle
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# Name the major and minor sectors.
#give examples for circles
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# What can you say about the two straight lines of the sector?
#Locate centre for the given circle.
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*'''Evaluation'''
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# Name the special types of sector?
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# Give some examples of sector.
  
===Notes for teachers===
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[[Category:Circles]]
Define circle and centre with the help of a diagram
 
 
 
===Activity No # 1 To locate centres for circles ===
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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*Estimated Time
 
20 minutes
 
*Materials/ Resources needed
 
For the teacher: chalk piece, geometry set.<br>
 
for the student: paper
 
*Prerequisites/Instructions, if any
 
''Instructions for the teacher:'' Draw few circles of different radii and name the centres <br>
 
''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?<br>
 
#Where does the centre of the circle lie? (inside/outside)
 
*Question Corner
 
Is there a circle with 3/4/5 centres?
 
 
 
===Activity No # 2 ===
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
 
 
==Concept #==
 
===Learning objectives===
 
===Notes for teachers===
 
===Activity No # ===
 
{| 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;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
 
 
===Activity No # ===
 
{| 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;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*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 =
 
 
 
= Math Fun =
 
 
 
'''Usage'''
 
 
 
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 

Latest revision as of 05:54, 7 November 2019

Slice of a circle enclosed between any two radii is called a sector.Semicircle and quadrant are special types of sectors.

Objectives

  • To understand area enclosed by two radii is sector.

Estimated Time

  • 15 minutes

Prerequisites/Instructions, prior preparations, if any

  • The students should know a circle, centre, radius,circumference and a sector.
  • They should know that circle is a planar figure.

Materials/ Resources needed

Non digital: Laptop, geogebra file, projector and a pointer.

Geogebra file: Arcs and Sector of a circle


Download this geogebra file from this link.


Process (How to do the activity)

  1. Move the endpoints of the sector and help them understand the types of sector.
  1. Name all the points on the circumference.
  2. Name the endpoints of the sector.
  3. Name the major and minor sectors.
  4. What can you say about the two straight lines of the sector?
  • Evaluation
  1. Name the special types of sector?
  2. Give some examples of sector.