Difference between revisions of "Puzzles and Projects Circles"
| Line 20: | Line 20: | ||
= Concept Map = | = Concept Map = | ||
| − | == | + | ==CONSTRUCTIONS== |
<mm>[[constructons.mm|Flash]]</mm> | <mm>[[constructons.mm|Flash]]</mm> | ||
__FORCETOC__ | __FORCETOC__ | ||
| Line 34: | Line 34: | ||
= Teaching Outlines = | = Teaching Outlines = | ||
| − | ==Concept #1 | + | ==Concept #1 CONSTRUCTION OF CHORD== |
===Learning objectives=== | ===Learning objectives=== | ||
The students should be able to:<br> | The students should be able to:<br> | ||
| Line 45: | Line 45: | ||
The teacher should clarify the meaning of chord and circle to the students | The teacher should clarify the meaning of chord and circle to the students | ||
| − | ===Activity No 1 | + | ===Activity No 1=== |
{| 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;"> | ||
| Line 92: | Line 92: | ||
*Question Corner | *Question Corner | ||
| − | ==Concept 2 | + | ==Concept 2 CONSTRUCTION OF CYCLIC QUADRILATERAL== |
===Learning objectives=== | ===Learning objectives=== | ||
The students should be able to: | The students should be able to: | ||
| Line 134: | Line 134: | ||
Measure the angle formed inside the cyclic quadrilateral and tell your observations? | Measure the angle formed inside the cyclic quadrilateral and tell your observations? | ||
*Evaluation | *Evaluation | ||
| − | 1. what are | + | 1. what are charActeristics of cyclic qudrilaterals ? |
2. What is the sum of opposite angles formed inside the cyclic quadrilaterals? | 2. What is the sum of opposite angles formed inside the cyclic quadrilaterals? | ||
| Line 140: | Line 140: | ||
1. how many elements required to construct cyclic qudrilateral | 1. how many elements required to construct cyclic qudrilateral | ||
2. when you are given four sides is it possible to construct a cyclic quadrilateral | 2. when you are given four sides is it possible to construct a cyclic quadrilateral | ||
| + | |||
| + | ===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.CONSTRUCTION OF REGULAR POLYGON INSCRIBED IN A CIRCLE== | ==concept #3.CONSTRUCTION OF REGULAR POLYGON INSCRIBED IN A CIRCLE== | ||
Revision as of 12:01, 13 September 2013
| Philosophy of Mathematics |
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Concept Map
CONSTRUCTIONS
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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
- 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 #
- 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
- 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
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