Focus: Find the squares and square roots of whole numbers. Squares and Square Roots 7L Squared Words Squared Numbers:

The examples below show how squares can be found.

Number Multiplied by itself Square

1 1 x 1= 1

2 2 x 2= 4

3 3 x 3=9

4 4 x 4=16

5 5 x 5=25

6 6 x 6= 36

7 7 x 7=49

8 8 x 8=64

9 9 x 9=81

10 10 x 10= 100

11 11 x 11=121

12 12 x 12=144

13 13 x 13 =169

14 14 x 14=196

15 15 x 15=225 Squared Words!

You'll hear different words used when people talk about squares. e.g.

•Square of a number: 25 is the square of 5

•Squaring a number: multiplying the number by itself

•A squared number: 100 is a square number

•3 squared: 3 squared is 9

•What's the square of 9? The square of 9 is 81

•Perfect square: Perfect square is another term for square number Take a look at page 19. The chart shows the

number of factors of each whole number. One way to describe a number with an odd number of factors is to call it a square number. Look for patterns and relationships in the chart.

*Find the factors of the numbers with two factors. What do you notice? They are prime numbers. Describe the numbers that have an odd number

of factors. Numbers: 4, 9, 25 25- has an odd number of factors One way to model a square number is to draw a square. Examples: This square has area 9

square units.

The side length is

or 3 units. We say: A square root of 9 is 3. 7 x 7 = 49

so, When we multiply a number by itself, we square

the number. Squaring and taking a square root are

inverse operations. That is, they undo each other. Find the square of each number.

a) 5 b) 15 c) 32

Solution: Assignment:

Work on page 21 & 22

(MMS)

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# Grade 7 Square roots

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