Unit 1
Square Roots and Surface Area
1
UNIT 1 VOCABULARY:
1. PERFECT SQUARE:
a number that is the square of a number; for example, 16 is a perfect square because
16 = 42=4 x 4.
2. NON­PERFECT SQUARE:
a fraction or a decimal that is not a perfect square.
2
List the first 15 perfect
squares
3
1. What is the area of the shaded
region?
2. Write the area as a product. [Hint
bxh]
3. How can you use a square root to
relate the side length and area?
4
1.
What is the area of the shaded region?
2.
Write this area as a product of fractions.
How can you use a square root to relate the
3.
length and area?
5
To summarize...
1. A perfect square is a number that is obtained by multiplying a number by itself. [example 64 is a perfect square]
2. If you know the area of a square you can use _________________ to find the __________ length
6
7x7
√49
7
How can you use the square roots of whole
numbers to determine the square roots of
fractions?
Look at the numerator and denominator
separately and determine the square root of
each.
8
Which numbers below are square numbers?[can be represented as a square?]
i) 25
ii) 24
iii) 20
9
Square Root of Fractions
1. Given the following areas of a square find the side length:
A. 225
100
B. 169
100
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How can we use the square roots of whole numbers to determine the square roots of decimals?
1. Convert a decimal to a fraction then determine the square root of the numerator and denominator.
2. Look for patterns
√49 =7
so √0.49 = 0.7
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Square Root of a Decimal
Convert a decimal to a FRACTION then take the square root of the numerator and denominator.
Decimal
A. 0.49
Fraction
Square Root
B. 0.64
C. 1.21
D. 1.44
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