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→Activity No #
# Is there any other way by which you can deduce the formula for area of a circle ?
# Is there any other way by which you can deduce the formula for area of a circle ?
===Activity No # ===
===Activity No # 2. Proving area of the circle = п r² using geogebra applet.===
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|<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>
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*Estimated Time
*Estimated Time: 45mins
*Materials/ Resources needed
*Materials/ Resources needed;
*Prerequisites/Instructions, if any
Laptop, geogebra file, projector and a pointer.
*Multimedia resources
*Prerequisites/Instructions, if any:
Prior knowledge of circle, radius, square and area of square.
*Multimedia resources: Laptop.
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
*Process/ Developmental Questions
*Process:
*Evaluation
# Show the students the two figures circle and square.
*Question Corner
# Tell them that the radius and side of square are of same measure as it would help us in deducing the formula for area of circle.
# Formulas are easy ways of calculating area .
# If formulas are not known then the entire area in question can be divided into small squares of 1 unit measure and can deduce the formula of the whiole.
# First the number of full squares is counted.
# Then two half squares would add up to 1 full square.
# Ignore less than quarter . Take 3/4 as full.
# Finally adding up the whole number would give us the full area of the figure in question.
# Divide area of circle with that of square and deduce formula for square with known formula for square.
*Developmental Questions:
# Which are these two figures?
# What inputs do you need to draw a circle ? And for a square ?
# What do you observe as constant in the two figures ?
# Do you think the size of both the figures are same ?
# How do we find it ?
# What is the formula to find the area of a square ?
# When we do not know the formula for area, how do we deduce it ?
# Count the number of squares in the entire area of circle ?
# How to add half and quarter squares ?
# Approximately how many total 1 unit squares cover the circle ?
# So, what is the area of the circle ?
# What are we trying to deduce (get) through this activity ?
# Fine lets try dividing the area of circle with area of square and observe the proceedings while we try to deduce the formula for area of circle.
*Evaluation;
# Has the student understood the concept of area.
# Was the student aligned with the assignment and was he able to follow the sequence of steps ?
# Is the student able to appreciate the analogy ?
*Question Corner;
# What is Pi ?
# What do you understand by area ?
# What is the formula to find the area of square and that of a circle ?
= Hints for difficult problems =
= Hints for difficult problems =