Difference between revisions of "Sector of a circle"

Latest revision as of 11:24, 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)

Move the endpoints of the sector and help them understand the types of sector.

Name all the points on the circumference.
Name the endpoints of the sector.
Name the major and minor sectors.
What can you say about the two straight lines of the sector?

Evaluation

Name the special types of sector?
Give some examples of sector.

@@ 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 #1 CIRCLE CENTRE==
+# Name all the points on the circumference.
-===Learning objectives===
+# Name the endpoints of the sector.
-#Define circle
+# Name the major and minor sectors.
-#give examples for circles
+# What can you say about the two straight lines of the sector?
-#Locate centre for the given circle.
+*'''Evaluation'''
+# Name the special types of sector?
+# Give some examples of sector.
-===Notes for teachers===
+[[Category:Circles]]
-Define circle and centre with the help of a diagram
-===Activity No # 1 To locate centres for 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
-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 ===
-{| 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 #2 diameter==
-===Learning objectives===
-to draw circle<br>
-to draw a diamter
-use of  geometrical instruments
-===Notes for teachers===
-explain the  concepts using requisite diagrams. Conduct this activity.
-===Activity No #1 ===
-{| 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
-minutes
-*Materials/ Resources needed
-different coloured circular cutouts
-*Prerequisites/Instructions, if any <br>
-#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:''<br>
-		The teacher distributes the paper cut outs to all the students.<br>
-		Ask every student to make 2 equal parts by folding.<br>
-		What happens if it is folded again to get equal parts?<br>
-		Ask the students to identify the folded lines/marks<br>
-''instructions to the student:''<br>
-		fold the paper cut out as per instructions<br>
-		observe and mark the folded line.<br>
-		Identity the diameter and radius.<br>
-*Evaluation
-#Was the student successful in marking radius and diamter?<br>
-#Was the student successful in folding and marking?<br>
-#Was the student able to relate radius and diameter.<br>
-*Question Corner
-how many such radii and diameters can be drawn to a given circle?
-===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
-==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 ===
-{| 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
-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 =
-= Project Ideas =
-= Math Fun =
-'''Usage'''
-Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template