1,122
edits
Changes
From Karnataka Open Educational Resources
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Line 1: + − <!-- This portal was created using subst:box portal skeleton -->+ − <!-- BANNER ACROSS TOP OF PAGE -->+ − {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"+ − |-+ − |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:_History The Story 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/Mathematics:_Philosophy Philosophy 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/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''']. − + − <mm>[[CIRCLES BASIC TERMS..mm|Flash]]</mm>>+ − __FORCETOC__ − = Textbook =+ − To add textbook links, please follow these instructions to: − ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage]) − =Additional Information=+ − ==Useful websites== − ==Reference Books== − + + + − ==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 === − {| 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 − 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 − − #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 − 20 minutes − *Materials/ Resources needed − different coloured circular cutouts − *Prerequisites/Instructions, if any <br> − #The student should have knowledge of circles. − − *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 − 10 minutes. − *Materials/ Resources needed − white paper , compass and colour pencils. − *Prerequisites/Instructions, if any − The student should know to use the compass.<br> − The student should understand the circumference as outer boundary. − *Multimedia resources − Geogebra − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − '''Instructions to the teachers'''<br> − Ask the children to draw circles.<br> − '''Instructions for the students'''<br> − Colour circumference by fitting small colour pencil in compass itself. − 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 ?<br> − 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.<br> − * 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;" − |<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''' − 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?<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 # === − {| 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 #5== − ===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 − − ==Concept #6== − ===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 − − − ==Concept #7== − ===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 − − ==Concept #8== − ===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 − − ==Concept #9== − ===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 − − ==Concept #10== − ===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+
added Category:Circles using HotCat
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.
= Concept Map =
===Materials/ Resources needed===
Non digital: Laptop, geogebra file, projector and a pointer.
Geogebra file: [https://ggbm.at/fqssprue Arcs and Sector of a circle]
{{Geogebra|fqssprue}}
= 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.
# 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?
#How many centres does a circle has?<br>
#The student should have skill of paper folding
*'''Evaluation'''
*'''Evaluation'''
# Name the special types of sector?
# Give some examples of sector.
[[Category:Circles]]
