Difference between revisions of "Puzzles and Projects Circles"

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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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[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]
 
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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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[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 =
−
==constructions==
+
==CONSTRUCTIONS==
−
<mm>[[constructons.mm|Flash]]</mm>
+
[[File:constructons.mm|Flash]]
 
__FORCETOC__
 
__FORCETOC__
  
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= Teaching Outlines =
 
= Teaching Outlines =
  
−
==Concept #==
+
==Concept #1 CONSTRUCTION OF CHORD==
 
===Learning objectives===
 
===Learning objectives===
 +
The students should be able to:<br>
 +
*Recall the meaning of circle.<br>
 +
*Define chord.<br>
 +
*State Properties of chord.<br>
 +
*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;"
 +
|<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 <br>
 +
10-15 minutes
 +
*Materials/ Resources needed
 +
#circular paper cuttings
 +
#sketch pen
 +
#note book
 +
#pen
 +
*Prerequisites/Instructions, if any
 +
#Meaning of chord.
 +
#Meaning of circle.
 +
#Meaning of circumference
 +
*Multimedia resources
 +
 +
*Website interactives/ links/ / Geogebra Applets
 +
 +
*Process/ Developmental Questions
 +
#what is a chord?
 +
#The folded line connected from where to where?
 +
#How many chords can be drawn in a circle?
 +
*Evaluation
 +
#was the effect of chord in a circle?
 +
#Was the student able to give the meaning of chord?
 +
 +
*Question Corner
 +
#how many chords can be drawn in a circle?
 +
#What happens to the size of the chord if it moves away from the centre?
 +
#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;"
 +
|<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;"
 +
|<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
 +
cutter
 +
geometrical instuments
 +
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
 +
*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?
 +
Wht you call the qudrilateral whose vertices laying on the circumferance of the circle?
 +
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;">
 
|<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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*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;">
−
''[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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*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;">
−
''[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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*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
Line 97: Line 201:
  
  
 +
===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]]

Latest revision as of 04:17, 31 October 2019

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Concept Map

CONSTRUCTIONS

[maximize]


Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

Additional Information

Useful websites

Reference Books

Teaching Outlines

Concept #1 CONSTRUCTION OF CHORD

Learning objectives

The students should be able to:

  • Recall the meaning of circle.
  • Define chord.
  • State Properties of chord.
  • Construct chord of given size.

Notes for teachers

The teacher should clarify the meaning of chord and circle to the students

Activity No 1

  • Estimated Time

10-15 minutes

  • Materials/ Resources needed
  1. circular paper cuttings
  2. sketch pen
  3. note book
  4. pen
  • Prerequisites/Instructions, if any
  1. Meaning of chord.
  2. Meaning of circle.
  3. Meaning of circumference
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  1. what is a chord?
  2. The folded line connected from where to where?
  3. How many chords can be drawn in a circle?
  • Evaluation
  1. was the effect of chord in a circle?
  2. Was the student able to give the meaning of chord?
  • Question Corner
  1. how many chords can be drawn in a circle?
  2. What happens to the size of the chord if it moves away from the centre?
  3. If the chord pass through the centre of the circle what it are the properties of that chord?

Activity No #

  • 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

The teacher should clarify the meaning of cyclic qudrilaterals.

Activity No 1

This is a class room individual activity

  • Estimated Time

10-15 minutes

  • Materials/ Resources needed

circular shaped bangles long thin stiks cutter geometrical instuments 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
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

220px-Cyclic_quadrilateral.svg.png

  • Website interactives/ links/ / Geogebra Applets

http://www.pioneermathematics.com/cyclic-quadrilateral-formula.html
http://www.youtube.com/watch?v=oOxlLDzBAUI&feature=player_detailpage

  • 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? Wht you call the qudrilateral whose vertices laying on the circumferance of the circle? 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 #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

concept #3.CONSTRUCTION OF REGULAR POLYGON INSCRIBED IN A CIRCLE

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner


Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

concept #4.CONSTRUCTION OF TANGENTS

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner


Activity No #

  • 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 {{subst:Math-Content}} to use this template

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