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Line 259: − '''DEFINITION:''' ''line joining any two points on the circumference''+ + + + − ===Learning objectives=== − *The students should understand that the chord is a line segment joining any two distinct points on the circle − *The students should understand that the longest chord in any circle is its diameter. − *Explain the concept by drawing chords of different sizes.+ − *Make the students understand that the length of the chord increases as it moves closer to the centre and decreases as it moves away from the center.+ − + − + − + − + − + − + − + − '''Instructions to the teacher:''' − '''Instructions to the children:'''+ − + − + − + − + − + − + − + − +
→Concept #6 Chord
==Concept #6 Chord==
==Concept #6 Chord==
[[File:chord001.jpg|200px|right]]
[[File:chord001.jpg|200px|right]]
===Learning objectives===
# The students should understand that the chord is a line segment joining any two distinct points on the circle
# The students should understand that the longest chord in any circle is its diameter.
# Any number of chords can be drawn in a circle.
===Notes for teachers===
===Notes for teachers===
# Explain the concept by drawing chords of different sizes.
# Make the students understand that the length of the chord increases as it moves closer to the centre and decreases as it moves away from the center.
===Activity No # 1===
===Activity No # Chord===
Fold the cut-circular paper at different points. Draw folded lines with different coloured pencils and observe the length of chords.
# Fold the cut-circular paper at different points. Draw folded lines with different coloured pencils and observe the length of chords.
{| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
|}
|}
*'''Estimated Time :'''20 minutes.
*Estimated Time : 20 minutes.
*'''Materials/ Resources needed'''
*Materials/ Resources needed :Circles cut from white paper, colour pencils, scale.
Circles cut from white paper, colour pencils, scale.
*Prerequisites/Instructions, if any
*'''Prerequisites/Instructions, if any'''
# The students should have the knowledge of circle, diameter, circumference and line segment.
The students should have the knowledge of circle, diameter, circumference and line segment.<br>
Instructions to the teacher:
Instruct the children to get cut circles ready:<br>
Instruct the children to get cut circles ready:<br>
Instructions to the children:
Fold the circle at different points and try to form the smallest and biggest chords.
# Fold the circle at different points and try to form the smallest and biggest chords.
*'''Multimedia resources:'''Geogebra
*Multimedia resources:
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
*'''Process/ Developmental Questions'''
*Process/ Developmental Questions
*'''Evaluation'''
*Evaluation:
Observe to see if the children are able to fold and mark the chord accurately.
# Observe to see if the children are able to fold and mark the chord accurately.
*'''Question Corner'''
*Question Corner:
Name the chord that passes through the center of the circle.<br>
# Name the chord that passes through the center of the circle.
What happens to the length of the chord as it moves away from the centre?
# What happens to the length of the chord as it moves away from the centre?
===Activity No # 2 The longest chord passes through the centre of the circle===
===Activity No # 2 The longest chord passes through the centre of the circle===