Difference between revisions of "Sector of a circle"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
m (added Category:Circles using HotCat)
 
(85 intermediate revisions by 4 users not shown)
Line 1: Line 1:
 +
Slice of a circle enclosed between any two radii is called a sector.Semicircle and quadrant are special types of sectors.
  
<!-- This portal was created using subst:box portal skeleton  -->
+
=== Objectives ===
<!--        BANNER ACROSS TOP OF PAGE        -->
+
* To understand area enclosed by two radii is sector.
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
+
===Estimated Time===
|-
+
*15 minutes
|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
===Prerequisites/Instructions, prior preparations, if any===
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
+
* 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]
+
* They should know that circle is a planar figure.
|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:_Pedagogy Teaching of Mathematics]
 
|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/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
|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:_Topics Topics in School Mathematics]
 
|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/Text_Books#Mathematics_-_Textbooks Textbooks]
 
|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/Maths:_Question_Papers Question Bank]
 
|}
 
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 =
+
===Materials/ Resources needed===
<mm>[[CIRCLES BASIC TERMS..mm|Flash]]</mm>>
+
Non digital: Laptop, geogebra file, projector and a pointer.
__FORCETOC__
 
  
= Textbook =
+
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=
+
{{Geogebra|fqssprue}}
==Useful websites==
 
==Reference Books==
 
  
= Teaching Outlines =
+
===Process (How to do the activity)===
 +
<span></span><span></span>
 +
# Move the endpoints of the sector and help them understand the types of sector.
  
==Concept #==
+
# Name all the points on the circumference.
===Learning objectives===
+
# Name the endpoints of the sector.
===Notes for teachers===
+
# Name the major and minor sectors.
===Activity No # ===
+
# What can you say about the two straight lines of the sector?
{| style="height:10px; float:right; align:center;"
+
*'''Evaluation'''
|<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;">
+
# Name the special types of sector?
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+
# Give some examples of sector.
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
===Activity No # ===
+
[[Category:Circles]]
{| 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
 
 
 
==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.