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Puzzles and Projects Circles (view source)

Revision as of 04:17, 31 October 2019

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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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|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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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
 
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://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; "|
 
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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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://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://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://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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[http://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'''].
 
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 =
 
= Concept Map =
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==constructions==
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==CONSTRUCTIONS==
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<mm>[[constructons.mm|Flash]]</mm>
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[[File:constructons.mm|Flash]]
 
__FORCETOC__
 
__FORCETOC__
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= Teaching Outlines =
 
= Teaching Outlines =
   −
==Concept #==
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==Concept #1 CONSTRUCTION OF CHORD==
 
===Learning objectives===
 
===Learning objectives===
 +
The students should be able to:<br>
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*Recall the meaning of circle.<br>
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*Define chord.<br>
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*State Properties of chord.<br>
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*Construct chord of given size.
 +
 +
===Notes for teachers===
 +
The teacher should clarify the meaning of chord and circle to the students
 +
 +
===Activity No 1===
 +
{| style="height:10px; float:right; align:center;"
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|<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;">
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 +
|}
 +
*Estimated Time <br>
 +
10-15 minutes
 +
*Materials/ Resources needed
 +
#circular paper cuttings
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#sketch pen
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#note book
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#pen
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*Prerequisites/Instructions, if any
 +
#Meaning of chord.
 +
#Meaning of circle.
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#Meaning of circumference
 +
*Multimedia resources
 +
 +
*Website interactives/ links/ / Geogebra Applets
 +
 +
*Process/ Developmental Questions
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#what is a chord?
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#The folded line connected from where to where?
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#How many chords can be drawn in a circle?
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*Evaluation
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#was the effect of chord in a circle?
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#Was the student able to give the meaning of chord?
 +
 +
*Question Corner
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#how many chords can be drawn in a circle?
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#What happens to the size of the chord if it moves away from the centre?
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#If the chord pass through the centre of the circle  what it are the properties of that chord?
 +
 +
===Activity No # ===
 +
{| style="height:10px; float:right; align:center;"
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|<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://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  CONSTRUCTION OF CYCLIC QUADRILATERAL==
 +
===Learning objectives===
 +
The students should be able to:
 +
Recall the meaning and construction of circle
 +
Recall the meaning and construction of qudrilateral
 +
Recall the angles formed inside the qudrilateral
 +
 
===Notes for teachers===
 
===Notes for teachers===
 +
The teacher should clarify the meaning of cyclic qudrilaterals.
 +
===Activity No 1 ===
 +
This is a class room individual activity
 +
{| style="height:10px; float:right; align:center;"
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|<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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 +
|}
 +
*Estimated Time
 +
10-15 minutes
 +
*Materials/ Resources needed
 +
circular shaped bangles
 +
long thin stiks
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cutter
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geometrical instuments
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pen and pencil
 +
geoboard
 +
*Prerequisites/Instructions, if any
 +
Instructions for teacher:
 +
The teacher should give some hints to childrens about the activity. In that guide students to cut the sticks to fit suitably inside the bangle like a quadrilateral<br>
 +
Instructions to the student:
 +
Take four sticks and  make a qudrilateral  which fit suitably inside the  bangle and make sure that all vertices of quadrilateral should lie on the circumferance of the bangle 
 +
*Multimedia resources
 +
http://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/Cyclic_quadrilateral.svg/220px-Cyclic_quadrilateral.svg.png
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*Website interactives/ links/ / Geogebra Applets
 +
http://www.pioneermathematics.com/cyclic-quadrilateral-formula.html<br>
 +
http://www.youtube.com/watch?v=oOxlLDzBAUI&feature=player_detailpage
 +
 +
{{#widget:YouTube|id=oOxlLDzBAUI}}
 +
*Process/ Developmental Questions
 +
Can you identify how many angles formed inside the quadrilateral?
 +
Is it possible to fit all types of qudrilaterls inside the circle?
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Wht you call the qudrilateral whose vertices laying on the circumferance of the circle?
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Measure the angle formed inside the cyclic quadrilateral and tell your observations?
 +
*Evaluation
 +
1. what are charActeristics of cyclic qudrilaterals ?
 +
2. What is the sum of opposite angles formed inside the cyclic quadrilaterals?
 +
 +
*Question Corner
 +
1. how many elements required to construct  cyclic qudrilateral
 +
2. when you are given four sides is it possible to construct a cyclic quadrilateral 
 +
 
===Activity No # ===
 
===Activity No # ===
 
{| 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;">
 
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
 
*Estimated Time
 
*Estimated Time
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*Question Corner
 
*Question Corner
    +
==concept #3.CONSTRUCTION OF REGULAR POLYGON INSCRIBED IN A CIRCLE==
 
===Activity No # ===
 
===Activity No # ===
 
{| 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;">
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
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*Estimated Time
 
*Estimated Time
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*Question Corner
 
*Question Corner
   −
==Concept #==
+
 
−
===Learning objectives===
  −
===Notes for teachers===
   
===Activity No # ===
 
===Activity No # ===
 
{| 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;">
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
 
*Estimated Time
 
*Estimated Time
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*Question Corner
 
*Question Corner
    +
==concept #4.CONSTRUCTION OF TANGENTS==
 
===Activity No # ===
 
===Activity No # ===
 
{| 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://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
 
*Estimated Time
 
*Estimated Time
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===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://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 =
 
= Hints for difficult problems =
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Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 +
 +
[[Category:Circles]]
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php/Special:MobileDiff/5006...32210"