LO: to identify factors.
08.11.21
Starter question! Answer on your whiteboards.
What do you know?
How will you work it out?
Explain how your answer.
STARTER
Autumn Week 6 - Number: Addition,
Subtraction, Multiplication & Division |
White Rose Maths
1) How many different ways can you put these counters into equal groups?
2) 4 × ____ = 32 3) 7 × ____ = 42
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
Which of these numbers are factors of 14?
Have a think
1 0.5 14
7 28 2 3
1 7 0.5 14 28 2 3
1 and 14 14
1 7 0.5 14 28 2 3
1 and 14 14
2 and 7
1 7 0.5 14 28 2 3
1 and 14 14
2 and 7
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?
Find all the factors of 18
1 and 18 18
2 and 9
1 × 18 2 × 9
Find all the factors of 18
1 and 18 18
2 and 9
1 × 18 2 × 9 3 × 6
3 and 6
4 ×
Find all the factors of 18
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
Have a go at questions
1 - 4 on the worksheet
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.
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
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
Complete the worksheet that is uploaded to the school website.
CHALLENGE
LO: to identify common factors.
09.11.21
Starter question! Answer on your whiteboards.
What do you know?
How will you work it out?
Explain how your answer.
STARTER
Autumn Week 6 - Number: Addition,
Subtraction, Multiplication & Division |
White Rose Maths
1) ____ × 7 = 56
2) 9 × ____ = 108
3) Find all the factors of 24
4) Find all the factors of 11
1) ____ × 7 = 56
2) 9 × ____ = 108
3) Find all the factors of 24
4) Find all the factors of 11 12
8
1, 2, 3, 4, 6, 8, 12, 24
1, 11
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
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
Have a go at questions
1 - 3 on the worksheet
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
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
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
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
Complete the worksheet that is uploaded to the school website.
LO: to identify common multiples.
10.11.21
Starter question! Answer on your whiteboards.
What do you know?
How will you work it out?
Explain how your answer.
STARTER
Autumn Week 7 - Number: Addition,
Subtraction, Multiplication & Division |
White Rose Maths
1) Complete the sequence:
7, 14, ___, ___, 35, 42, ____
2) Complete the sequence:
___, 12, ___, 24, 30, ___
3) Complete the sequence:
___, 9, 18, ___, 36, ____
4) Complete the sequence:
4, ___, 12, ___, 16, ___
1) Complete the sequence:
7, 14, ___, ___, 35, 42, ____
2) Complete the sequence:
___, 12, ___, 24, 30, ___
3) Complete the sequence:
___, 9, 18, ___, 36, ____
4) Complete the sequence:
4, ___, 12, ___, 20, ___
21
6
0
8
28 49
18 36
27 45
16 24
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
Find all the multiples of 5 on the number square
Find all the multiples of 6 on the number square
Find all the common multiples of 5 and 6 30
60 90 120
Have a think
Complete the sorting diagram
Multiples of 4 Multiples of 7 70
35
12 28 56 20
Complete the sorting diagram
Multiples of 4 Multiples of 7 70
35
12 28 56 20
Have a go at questions
1 - 3 on the worksheet
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
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
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
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
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
Complete the worksheet that is uploaded to the school website.
I can see…
I know…
I think…
I will…
LO: to identify prime numbers to 100.
11.11.21
Starter question! Answer on your whiteboards.
What do you know?
How will you work it out?
Explain how your answer.
STARTER
Autumn Week 7 - Number: Addition,
Subtraction, Multiplication & Division |
White Rose Maths
1) Find all the factors of 32
2) Write the first 6 multiples of 6
3) Write the first 6 multiples of 4
4) Write the first 3 common multiple of 4 and 6
1) Find all the factors of 32
2) Write the first 6 multiples of 6
3) Write the first 6 multiples of 4
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
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
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
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
Have a go at questions
1 - 4 on the worksheet
Find all the prime numbers between 1 and 30
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
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
Find all the prime factors of 24 24
6 4
2 2
3 × 2 × 2 × 2 = 24
3 2
Find all the prime factors of 28 28
14 2
7 × 2 × 2 = 28
7 2
Have a think
+ = 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
Complete the worksheet that is uploaded to the school website.
LO: to identify squared and cubed numbers.
12.11.21
Starter question!
Answer on your whiteboards.
What do you know?
How will you work it out?
Explain how your answer.
STARTER
Autumn Week 7 - Number: Addition,
Subtraction, Multiplication & Division |
White Rose Maths
1) Write the first 5 prime numbers:
2) 2 × 2 × 2 =
3) 9 × 9 =
4) 5 × 5 × 5 =
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
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
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
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
Cube numbers
The result of a number multiplied by itself and then multiplied by itself again
2³ Two cubed 2 × 2 × 2
= 8
How many cubes do you need to build a 4 × 4 × 4 cube?
4³ 4 cubed 4 × 4 × 4
Have a think
64 cubes
Have a go at all of the questions on
the worksheet
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.
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
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
Th H T O
1 7 1 7
9 1
1
0 7
1
9 8
2
×
+
What if Dexter was working out 17² and Annie was working out 17³?
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
−
Dexter:
Annie:
17²
289
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?
What if Dexter was working out 17² and Annie was working out 17³?
What’s the same?
What’s different?
Have a think
When Mo adds two numbers he gets a prime number.
When he multiplies them he gets a square number.
1
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
Complete the worksheet that is uploaded to the school website.