1. Square and Cube Numbers
27/11/2018
Learning Objectives:
Know what square and cube numbers are
Able to calculate square and cube
numbers
Able to calculate square root and cube
roots

2. Square Numbers Square Numbers: a number multiplied by itself 1 x 1 = 12 1 3 4 1 2 3 4
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
Square Numbers: a number multiplied by itself

3. Square Numbers
What is the answer to the following? 52 92
112

4. Square roots A square root is the opposite of a square number
It is a number which, when multiplied by itself, produces the given number
Example: √16
= 4
√49
= 7

5. Your turn… Page 76, Question 8 Page 78, Question 1 (a – e)

6. Cube Numbers Cube Numbers: a number multiplied by itself three times2 1 3 1 1 2 2 3 3
1 x 1 x 1 = 1
2 x 2 x 2 = 8
3 x 3 x 3 = 27
Cube Numbers: a number multiplied by itself three times

7. Cube Numbers
What is the answer to the following? 43
103
173

8. Cube roots A cube root is the opposite of a cube number
It is a number which, when multiplied by itself three times, produces the given number
Example: √125 3
= 5 3
√729
= 9

9. Starter 62
√49
192
√2209 43
133 3
√64 3
√6859

10. Indices Learning Objectives: Able to calculate square and cube numbers
27/11/2018
Learning Objectives:
Able to calculate square and cube numbers
with and without a calculator
Able to calculate square and cube roots with
and without a calculator
Able to calculate any power with a calculator

11. Your turn… Calculate the following without a calculator:
63 b) 53 c) 73 d) 23
Calculate the following with a calculator:
153 b) c) d) (-5)3
Calculate the cube root of the following with a calculator:
4096 b) c) d)

12. Your turn…
Page 80 – 81
Question 1, 4, 6

13. Plenary
Which is larger?
36 or 63?
47 or 39?
Write an estimate for √27