Transcript Starter

Square and Cube Numbers
21/07/2015
Learning Objectives:
• Know what square and cube numbers are
• Able to calculate square and cube
numbers
• Able to calculate square root and cube
roots
Square Numbers
2
3
1
1
4
2
3
4
1x1=1
2x2=4
3x3=9
4 x 4 = 16
Square Numbers: a number multiplied by itself
Square Numbers
• What is the answer to the following?
a) 52
b) 92
c) 112
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
Your turn…
• Page 76, Question 8
• Page 78, Question 1 (a – e)
Question 2 (a – e)
Question 4 (a – e)
Cube Numbers
2
1
1 1
2
3
2
3
3
1x1x1=1
2x2x2=8
3 x 3 x 3 = 27
Cube Numbers: a number multiplied by itself three
times
Cube Numbers
• What is the answer to the following?
a) 43
b) 103
c) 173
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
3
• Example: √125 = 5
3
√729 = 9
Starter
• 62
• 43
3
• √49
• √64
• 192
• 133
• √2209
• 3√6859
Indices
21/07/2015
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
Your turn…
• Calculate the following without a calculator:
a) 63
b) 53
c) 73
d) 23
• Calculate the following with a calculator:
a) 153
b) 223
c) 0.83
d) (-5)3
• Calculate the cube root of the following with a calculator:
a) 4096
b) 5832
c) 2.197
d) 19683
Your turn…
• Page 80 – 81
– Question 1, 4, 6
Plenary
• Which is larger?
36 or 63?
47 or 39?
• Write an estimate for √27