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| Philosophy of Mathematics |
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constructions
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Teaching Outlines
Concept #1 construction of chords
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 Construction of chord
- 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 qudrilaterals
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: teacher should give some hints to childrens about the activity. In that guide students to cut the stics 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 charecteristics of cyclic qudrilaterals ? 2. What is the sum of opposite angles formed inside the cyclic qudreilaterals?
- 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
>Concept #2 Characteristics and classification
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner
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