Download 1.7X Number squares, cubes, multiples etc.notebook

1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Square Numbers
In your book draw some squares.
Count how many squares inside them and write it next to the square.
The square numbers are:
1
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
The Square Numbers:
12
52
22
6
2
32
7
2
4
2
82
9
2
10
11
12
2
2
2
2
Find the square numbers up to 20 using your calculator.
132
162
192
142
172
202
152
182
tic tac toe
2
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Square numbers
Which of these numbers are square numbers?
The Bin
136
1
16
0.4
100
196
91
45
When you square a number, is the answer always bigger than the number you started with ?
3
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Square Roots
The square root is the length of the sides
The inverse of a square is a square root.
For example
Set your neighbour 5 square roots to find.
Your calculator has a square root key.
Use it to find:
√20 √200 √27
game
4
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Cubes and cube roots
Build cubes:
1x1x1
2x2x2
3x3x3
4x4x4
5x5x5
Work out how many cubes you need for each cube.
13 = 23 =
33 = 43 =
53 =
Using a calculator work out:
73 = 12.2 3 = 0.9 3 =
∛64 =
∛27=
∛125=
∛1000=
∛9.261=
cubes and roots crossnumber
5
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Copy and complete the sequence:
6
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Order is important!
Work out
3 + 32 x 2 =
5 + (7­2)2 x 2 =
7
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
8
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Factors
Factors are numbers that go into another number.
They come in pairs!
30
40
What are the factors of:
8
12
15
16
9
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Common Factors
Factors of 20
Factors of 36
Factors of 50
Factors of 21
Factors of 30
Factors of 40
Factors of 30
Factors of 19
10
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Factor trees
Express 30 as a product of its prime factors
30
20
45
64
11
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Prime Factors
1. Write down the first 15 prime numbers
2. a) Write down all the factors of 30.
b) Circle the prime factors of 30.
3. Express 30 as a product of its prime factors.
4. Express these numbers as products of their prime factors:
a) 100
b) 66
c) 84
d) 250
12
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
HCF: highest common factor
14, 21
8, 10
40, 50
15, 45
12, 18
13
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Multiples
Multiples of 3......
Using 1­100 grids:
1. Shade the multiples of 3 blue and the multiples of 5 red.
Write down the common multiples of 3 and 5.
2. Shade the multiples of 7 green and the multiples of 4 orange. Write down the common multiples of 4 and 7.
Shade the multiples of 8 grey and the multiples of 9 yellow. Write down the common multiples of 8 and 9.
14
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
Lowest common multiple
Write out the first 10 multiples of 6
Write out the first 10 multiples of 9
Which is the smallest number in both lists?
Write out the first 10 multiples of 8
Write out the first 10 multiples of 12
What is the LCM of 8 and 12?
What is the LCM of 4 and 6?
What is the LCM of 9 and 15?
It takes Fred 12 seconds to run around the track. It takes Simon 15 seconds to run round the track.
After how many seconds will they both be at the beginning again?
15
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
LCM: Lowest common multiple
14, 21
8, 10
40, 50
15, 45
12, 18
16
1.7X Number squares, cubes, multiples etc.notebook
December 31, 2015
how many of these sequences can you start...?
even
er
umb
sq
u
nu are
mb
er
s
s
n
s
d
od
er
b
um
n
a sequence going up in 3
multiples of 5
s
starting with 1
17
Attachments
14 Spinner 2 ﴾Multiplication 1 to 12﴿.ppt
10 Rings 2 ﴾Addition﴿.ppt
Multiples.xls