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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...
![Page 1: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062805/5697c01a1a28abf838ccf161/html5/thumbnails/1.jpg)
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
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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
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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
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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
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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…
![Page 6: 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.](https://reader035.fdocuments.in/reader035/viewer/2022062805/5697c01a1a28abf838ccf161/html5/thumbnails/6.jpg)
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…
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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
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MultiplesFind the Missing Multiples:
6, 12, 18, ____, ____
___, 8, 12, 16, ____, ____, 28
___, 24, 36, 48, 60, ____
24 30
4 20 24
12 72
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Multiples are always equal to or bigger
than the original number
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Factors
A factor is a number which divides exactly into a given number leaving no remainder
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FactorsHow many different groups can you make with 6 counters?
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FactorsHow many different groups can you make with 6 counters?
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FactorsHow many different groups can you make with 6 counters?
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FactorsHow many different groups can you make with 6 counters?
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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
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FactorsWhat are the factors of 8?
1 x 8
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FactorsWhat are the factors of 8?
1 x 8
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FactorsWhat are the factors of 8?
1 x 8
2 x 4
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FactorsWhat are the factors of 8?
1 x 8
2 x 4
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FactorsWhat are the factors of 8?
1 x 8
2 x 4
3 x
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FactorsWhat are the factors of 8?
1 x 8
2 x 4
3 x
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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
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FactorsWhat are the factors of 36?
1 x 24
2 x 12
3 x 8
4 x 6
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 12
3 x 8
4 x 6
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 12
3 x 8
4 x 6
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 8
4 x 6
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 8
4 x 6
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 6
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 6
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 9
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 9
5 x6 x
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FactorsWhat are the factors of 36?
1 x 36
2 x 18
3 x 12
4 x 9
5 x6 x
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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
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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?
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Multiples of 4
Multiples of 6
Factors of 24
Venn Diagram
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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
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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
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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
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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
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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
x
xxxxx
xx
x
x
xxxxx
xx
x
x
xxxxx
xx
xx
x
xxxxx
xx
xx
x
xxxxx
xx
xx
x
xxxxx
xx
x xx x
x xx x
x xx x
x
x
x
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Prime numbers
in real life