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no edit summary
# A chord divides the circle into two segments.
# A chord divides the circle into two segments.
===Notes for teachers===
===Notes for teachers===
===Activity No # Measuring a chord in a circle .===
===Activity No # Measuring chord.===
{| 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;">
# What is the name of that constant ?
# What is the name of that constant ?
# Try to collect more information on Pi.
# Try to collect more information on Pi.
==Concept # 4 Finding the area of a circle.==
===Learning objectives===
# The child should understand that the area of a circle is the entire planar surface.
# Derivation of the formula for area of the circle.
# Area of the circle is dependent on its radius.
# The formula for area of a circle is derived by converting the circle into an equally sized parallelogram.
===Notes for teachers===
1.Proof for area of a circle refer to them following link.
http://www.basic-mathematics.com/proof-of-the-area-of-a-circle.html
===Activity No # 1. To discover a formula for the area of a circle. ===
This activity has been taken from website :
http://www.mathsteacher.com.au/year8/ch12_area/07_circle/circle.htm
{| 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:90 mins
*Materials/ Resources needed:A compass, pair of scissors, ruler and protractor , pencil and chart papers.
*Prerequisites/Instructions, if any
# Prior knowledge of circle, radius and parallelogram area.
# Skill to measure and draw accurately.
*Multimedia resources
*Website interactives/ links/ / Geogebra Applets
*Process:
Refer this website :
http://www.mathsteacher.com.au/year8/ch12_area/07_circle/circle.htm
*Developmental Questions:
# Calculate the area of the figure in Step 6 by using the formula: Area = base x height
# What is the area of the circle drawn in Step 1?
# It appears that there is a formula for calculating the area of a circle. Can you discover it?
*Evaluation:
# Is the student able to comprehend the idea of area.
# Is the student able to corelate that the base of the parallelogram formed is half of the circle's circumference.
*Question Corner:
# What is the area of a parallelogram ?
# Is there any other way by which you can deduce the formula for area of a circle ?
===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
= Hints for difficult problems =
= Hints for difficult problems =