By the end of the presentation you will be able to: Work out and write down the first 15 square...
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Transcript of By the end of the presentation you will be able to: Work out and write down the first 15 square...
By the end of the presentation you will be able to:
• Work out and write down the first 15 square numbers
• Work out and write down the first 15 cube numbers
• Find multiples of numbers and recognise that they are times tables
• Find factors of numbers and put them in order of size
• Find all the prime numbers in a 1-100 grid
Numerical Relationships
Square Numbers
We say: one squared
We write: 12
We mean: 1 x 1
The answer is: 1
We say: two squared
We write: 22
We mean: 2 x 2
The answer is: 4your turn
Cube Numbers
We say: one cubed
We write: 13
We mean: 1 x 1 x 1
The answer is: 1
We say: two cubed
We write: 23
We mean: 2 x 2 x 2
The answer is: 8your turn
Multiples
A multiple is formed by multiplying a given number by the counting numbers
The counting numbers are 1, 2, 3, 4, 5, 6...
Multiples are just the times tables
MultiplesWhat are the multiples of 2?
They are the 2 times table
1 x 2 = 22 x 2 = 43 x 2 = 64 x 2 = 8 …
The multiples of 2 are: 2,4,6,8,10,12,14,16…
MultiplesWhat are the multiples of 3?
They are the 3 times table
1 x 3 = 32 x 3 = 63 x 3 = 94 x 3 = 12 …
The multiples of 3 are: 3,6,9,12,15,18,21,24…
MultiplesWhat are the first 5 multiples of 13?
They are the 13 times table
1 x 13 = 132 x 13 = 263 x 13 = 394 x 13 = 525 x 13 = 65
The first 5 multiples of 13 are:
13,26,39,52,65
MultiplesFind the Missing Multiples:
6, 12, 18, ____, ____
___, 8, 12, 16, ____, ____, 28
___, 24, 36, 48, 60, ____
24 30
4 20 24
12 72
Multiples are always equal to or bigger
than the original number
Factors
A factor is a number which divides exactly into a given number leaving no remainder
FactorsHow many different groups can you make with 6 counters?
FactorsHow many different groups can you make with 6 counters?
FactorsHow many different groups can you make with 6 counters?
FactorsHow many different groups can you make with 6 counters?
FactorsHow many different groups can you make with 6 counters?
1 group of 6
6 groups of
12 groups of
3
3 groups of
2
The factors of 6 are: 1, 2, 3, 6
FactorsWhat are the factors of 8?
1 x 8
FactorsWhat are the factors of 8?
1 x 8
FactorsWhat are the factors of 8?
1 x 8
2 x 4
FactorsWhat are the factors of 8?
1 x 8
2 x 4
FactorsWhat are the factors of 8?
1 x 8
2 x 4
3 x
FactorsWhat are the factors of 8?
1 x 8
2 x 4
3 x
FactorsWhat are the factors of 8?
The factors of 8 are: 1, 2, 4, 8
1 x 8
2 x 4
3 x4 x
This is a repeated
number so STOP
FactorsWhat are the factors of 36?
1 x 24
2 x 12
3 x 8
4 x 6
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 12
3 x 8
4 x 6
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 12
3 x 8
4 x 6
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 8
4 x 6
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 8
4 x 6
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 6
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 6
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 9
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 9
5 x6 x
FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 9
5 x6 x
FactorsWhat are the factors of 36?
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
1 x 36
2 x 18
3 x 12
4 x 9
5 x6 x 6
This is a repeated
number so STOP
Multiples and Factors
What are the first six multiples of 4?
What are the first six multiples of 6?
What are the factors of 24?
Multiples of 4
Multiples of 6
Factors of 24
Venn Diagram
Definitions• Even Number
Any number that can be divided by 2 without leaving a remainder
• Odd NumberAny number that cannot be divided by 2 without leaving a remainder
• Composite NumberA number that can be divided by at least
one other number (a factor) other than 1 or itself
• Prime NumberA number with exactly 2 factors,1 and
itself
Prime numbers1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99100
Let’s find all the prime numbers
1 is a special number
Why?
Cross out 1 because it is not
prime
1 has only one factor and so is
neither prime nor composite
Prime numbers1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99100
Cross out 1 because it is not
prime
x
Prime numbers1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99100
x What is the first prime number?
What is special about this number?
It is the only even prime number
Circle it
Prime numbers1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99100
x x xx
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Prime numbers
in real life