LO: to identify factors.

(1)

LO: to identify factors.

08.11.21

(2)

Starter question! Answer on your whiteboards.

What do you know?

How will you work it out?

Explain how your answer.

STARTER

(3)

Autumn Week 6 - Number: Addition,

Subtraction, Multiplication & Division |

White Rose Maths

(4)

1) How many different ways can you put these counters into equal groups?

2) 4 × ____ = 32 3) 7 × ____ = 42

(5)

1) How many different ways can you put these counters into equal groups?

2) 4 × ____ = 32 3) 7 × ____ = 42

8 6

1 group of 6 3 groups of 2 2 groups of 3 6 groups of 1

(6)

Which of these numbers are factors of 14?

Have a think

1 0.5 14

7 28 2 3

(7)

1 7 0.5 14 28 2 3

1 and 14 14

(8)

1 7 0.5 14 28 2 3

1 and 14 14

2 and 7

(9)

1 7 0.5 14 28 2 3

1 and 14 14

2 and 7

(10)

Find all the factors of 18

1 and 18 18

Have a think

1 × 18 How do you know when you’ve found them all?

(11)

1 and 18 18

2 and 9

1 × 18 2 × 9

(12)

1 and 18 18

2 and 9

1 × 18 2 × 9 3 × 6

3 and 6

4 ×

(13)

1 and 18 18

2 and 9

1 × 18 2 × 9 3 × 6

3 and 6

4 × 5 × 6 ×

1, 2, 3, 6, 9, 18

(14)

Have a go at questions

1 - 4 on the worksheet

(15)

Alex is thinking of a number between 30 and 40 It only has two factors.

What could Alex’s number be?

Have a think

31 32 33 34 35 36 37 38 39

Prime numbers only have 2 factors: 1 and themselves.

(16)

Is 5 a factor of 162?

Is 3 a factor of 354?

162 ÷ 5

354 ÷ 3

Have a think

Numbers in the 5 times table end in 0 and 5

If the sum of the digits is divisible by 3 then the number will be divisible by 3

3 + 5 + 4 = 12 ÷ 3 = 4

(17)

The number 16 has 6 factors.

Have a think

1, 2, 4, 4, 8, 16 1 and 16 16

2 and 8

4 and 4

1, 2, 4, 8, 16 16 is a square number

(18)

Complete the worksheet that is uploaded to the school website.

(19)

(20)

CHALLENGE

(21)

LO: to identify common factors.

09.11.21

(22)

Starter question! Answer on your whiteboards.

What do you know?

How will you work it out?

Explain how your answer.

STARTER

(23)

Autumn Week 6 - Number: Addition,

Subtraction, Multiplication & Division |

White Rose Maths

(24)

1) ____ × 7 = 56

2) 9 × ____ = 108

3) Find all the factors of 24

(25)

1) ____ × 7 = 56

2) 9 × ____ = 108

4) Find all the factors of 11 12

8

1, 2, 3, 4, 6, 8, 12, 24

1, 11

(26)

Find all the common factors of 10 and 20 1 × 10 10

2 × 5 1, 2, 5, 10

1 × 20 20

2 × 10 1, 2, 4, 5, 10, 20

4 × 5

Common factors: 1, 2, 5, 10

(27)

Have a think

Complete the Venn diagram

Factors of 12 Factors of 8 1 × 12

2 × 6 3 × 4

1 × 8 2 × 4 1

2 3

6 4

12

8

(28)

Have a go at questions

1 - 3 on the worksheet

(29)

Find a common factor of 80, 160 and 300 that is greater than 15

Have a think

160 300

× 80 × 40 × 20 × 16 80

1 × 80 2 × 40 4 × 20 5 × 16 8 × 10

2 4 8 10

× 80 × 40 × 20 × 16

15 20

(30)

Tommy

I’m thinking of a 2-digit number between 20 and 50

Whitney

My number is 30

The common factors of 30 and Tommy’s number are 1, 3, 5 and 15

What is Tommy’s number?

1 3 5 15

Factors of 30 Tommy’s number

2 15

6 10 30

30 45 60

(31)

Can you use common factors to simplify this fraction?

18 50

Factors of 18: 1, 2, 3, 6, 9, 18 Factors of 50: 1, 2, 5, 10, 25, 50

÷ 2

÷ 2 9 25

(32)

Can you use common factors to simplify this fraction?

30 90

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 90: 1, 2, 3, 5, 6, 9, 15, 30, 45, 90

÷ 30

÷ 30 1 3

Have a think

(33)

(34)

(35)

(36)

LO: to identify common multiples.

10.11.21

(37)

Starter question! Answer on your whiteboards.

What do you know?

How will you work it out?

Explain how your answer.

STARTER

(38)

Autumn Week 7 - Number: Addition,

Subtraction, Multiplication & Division |

White Rose Maths

(39)

1) Complete the sequence:

7, 14, ___, ___, 35, 42, ____

___, 12, ___, 24, 30, ___

___, 9, 18, ___, 36, ____

4, ___, 12, ___, 16, ___

(40)

7, 14, ___, ___, 35, 42, ____

___, 12, ___, 24, 30, ___

___, 9, 18, ___, 36, ____

4, ___, 12, ___, 20, ___

21

6

0

8

28 49

18 36

27 45

16 24

(41)

1 and 12 12

2 and 6

3 and 4 Factors of 12

12 is a multiple of 1, 2, 3, 4, 6, 12 Multiples and factors

(42)

Find all the multiples of 5 on the number square

(43)

Find all the multiples of 6 on the number square

Find all the common multiples of 5 and 6 30

60 90 120

(44)

Have a think

Complete the sorting diagram

Multiples of 4 Multiples of 7 70

35

12 28 56 20

(45)

Complete the sorting diagram

Multiples of 4 Multiples of 7 70

35

12 28 56 20

(46)

Have a go at questions

1 - 3 on the worksheet

(47)

To find the common multiples of 6 and 8 I do 6 × 8 = 48 and then add on 48 each time.

48, 96, 144, 192…

Have a think Multiples of 6:

6, 12, 18, 24, 36, 42, 48 Multiples of 8:

8, 16, 24, 30, 40, 48 72

(48)

Annie’s mum is 56 years old 56 is a multiple of Annie’s age

How old could Annie be?

1 and 56 56

2 and 28 4 and 14

7 and 8

1, 2, 4, 7, 8, 14, 28, 56

Annie’s age is also 1 away from a multiple of 7 How old is Annie?

Annie goes to school

4, 7, 8, 14

(49)

Annie’s mum is 56 years old 56 is a multiple of Annie’s age

How old could Annie be?

Have a think

1 and 56 56

2 and 28 4 and 14

7 and 8

Annie’s age is 1 away from a multiple of 7 Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56

4, 7, 8, 14

Annie goes to school

(50)

Dora is making two towers using lego.

5 cm

8 cm

She makes her two towers exactly the same height.

How tall could the towers be?

5 cm

8 cm

Have a think

(51)

Dora is making two towers using lego.

She makes her two towers exactly the same height.

How tall could the towers be?

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 40 cm tall

80 cm tall

(52)

(53)

I can see…

I know…

I think…

I will…

(54)

(55)

LO: to identify prime numbers to 100.

11.11.21

(56)

Starter question! Answer on your whiteboards.

What do you know?

How will you work it out?

Explain how your answer.

STARTER

(57)

Autumn Week 7 - Number: Addition,

Subtraction, Multiplication & Division |

White Rose Maths

(58)

2) Write the first 6 multiples of 6

4) Write the first 3 common multiple of 4 and 6

(59)

4) Write the first 3 common multiple of 4 and 6

1, 2, 4, 8, 16, 32

6, 12, 18, 24, 30, 36

12,

4, 8, 12, 16, 20, 24

24, 36

(60)

1 and 8 8

1, 2, 4, 8

2 and 4 Find the factors of 8:

Find the factors of 7:

Find the factors of 1:

Have a think

What do you notice?

1 and 7 7

1, 7

1 1

(61)

All prime numbers must be odd because all even numbers will also have a factor of 2

Have a think

1 and 22 22

1, 2, 11, 22

2 and 11

1 and 40 40

1, 2, 4, 5, 8, 10, 20, 40

5 and 8

2 and 20 4 and 10

(62)

All prime numbers must be odd because all even numbers will also have a factor of 2

2 1 and 2

1, 2

2 is the only even prime number

(63)

Have a go at questions

1 - 4 on the worksheet

(64)

Find all the prime numbers between 1 and 30

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

(65)

Find all the prime factors of 24

A factor which is also a prime number is called a prime factor 24

2 12

4 3

2 2

2 × 2 × 2 × 3 = 24

(66)

Find all the prime factors of 24 24

6 4

2 2

3 × 2 × 2 × 2 = 24

3 2

(67)

Find all the prime factors of 28 28

14 2

7 × 2 × 2 = 28

7 2

Have a think

(68)

+ = 30

and are both prime numbers How many different solutions are there?

Have a think Have a think

7 + 23 = 30 11 + 19 = 30 13 + 17 = 30

(69)

(70)

(71)

(72)

LO: to identify squared and cubed numbers.

12.11.21

(73)

Starter question!

Answer on your whiteboards.

What do you know?

How will you work it out?

Explain how your answer.

STARTER

(74)

Autumn Week 7 - Number: Addition,

Subtraction, Multiplication & Division |

White Rose Maths

(75)

1) Write the first 5 prime numbers:

2) 2 × 2 × 2 =

3) 9 × 9 =

4) 5 × 5 × 5 =

(76)

1) Write the first 5 prime numbers:

2) 2 × 2 × 2 =

3) 9 × 9 =

4) 5 × 5 × 5 =

2, 3, 5, 7, 11

8

125 81

(77)

Which of these numbers are square numbers?

Have a think

How can you prove it?

9

16

0.25

8

3 × 3 = 9

The result of a number multiplied by itself

0.5 × 0.5 = 0.25

Has to be a whole number

(78)

Which of these numbers are square numbers?

How can you prove it?

9

16 8

3 × 3 = 9

The result of a number multiplied by itself Has to be a whole number

4 × 4 = 16

Has to build a square

Has to build a complete square

(79)

The result of a number multiplied by itself Has to be a whole number

Has to build a complete square Square numbers

2² Two squared 2 × 2

(80)

Cube numbers

The result of a number multiplied by itself and then multiplied by itself again

2³ Two cubed 2 × 2 × 2

= 8

(81)

How many cubes do you need to build a 4 × 4 × 4 cube?

4³ 4 cubed 4 × 4 × 4

Have a think

64 cubes

(82)

Have a go at all of the questions on

the worksheet

(83)

20 × 20 = 400 Dexter:

Annie: 20 × 20 × 20 = 8,000 8,000 − 400 = 7,600

Dexter works out 20 squared Annie works out 20 cubed

Find the difference between Dexter’s and Annie’s numbers.

(84)

Dexter works out 20 squared Annie works out 20 cubed

Find the difference between Dexter’s and Annie’s numbers.

Dexter:

Annie:

20²

400

400 × 19 = ^Th ^H ^T ^O

4 0 0 1 9

0 0

6

0 0

0

0 0

6

×

+

3 4 7

7,600

400 × 19

What if Dexter was working out 17² and Annie was working out 17³?

Have a think

(85)

Th H T O

1 7 1 7

9 1

1

0 7

1

9 8

2

×

+

Th H T O

2 8 9 1 7

3 2

0

0 9

8

3 1

9

×

+

2 2 4

Th H T O

4 9 1 3 2 8 9

4 2

6 0 1 1

4

8

−

(86)

Dexter:

Annie:

17²

289

289 × 16 = ^Th ^H ^T ^O

2 8 9 1 6

4 3

7

0 9

8

4 2

6

×

+

1 2 4

4,624

289 × 16 What if Dexter was working out 17² and Annie

was working out 17³?

(87)

What’s the same?

What’s different?

Have a think

(88)

When Mo adds two numbers he gets a prime number.

When he multiplies them he gets a square number.

1

4 9

16

2, 3, 5, 7, 11, 13, 17, 19, 23,

1 × 4 2 × 2 1 × 9 3 × 3

1 × 16

2 × 8 4 × 4

25

1 × 25 5 × 5

36 1 × 36

2 × 18 3 × 12

4 × 9

(89)

(90)

(91)