New
New
Year 3

Explain the relationship between the multiples of 2, 4 and 8

I can explain the relationship between the multiples of 2, 4 and 8

New
New
Year 3

Explain the relationship between the multiples of 2, 4 and 8

I can explain the relationship between the multiples of 2, 4 and 8

Lesson details

Key learning points

  1. Multiples of 8 are multiples of 2 and of 4
  2. If you double the multiples of 2 you get the multiples of 4
  3. If you double the multiples of 4 you get the multiples of 8
  4. If you double the multiples of 2 and double again you get the multiples of 8

Keywords

  • Multiple - A multiple is the result of multiplying a number by another whole number.

  • Double / doubling - To double means to become twice as many or to multiply by two.

  • Halving - Halving means to divide into two equal parts.

Common misconception

Lack of fluency in 2s, 4s, or 8s times tables can mean that pupils struggle to generalise rules of and relationships within multiples of 2, 4 and 8

Take time to practically model grouping a set of objects in different ways. For example, take 24 straws and clearly show how groups of 2, 4 and 8 can be made. Discuss the relationships focusing on doubling and halving.

For this lesson a hands on experience using straws or other manipulatives finding different groups from 24 will support pupils understanding of the relationship between the multiples of 2, 4 and 8, which could be extended to other multiples of 8
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Match the number of multiples of 8 that are equivalent to the multiples of 4
Correct Answer:2 × 4 = _ × 8,1

1

Correct Answer:6 × 4 = _ × 8,3

3

Correct Answer:10 × 4 = _ x 8,5

5

Correct Answer:12 × 4 = _ × 8,6

6

Q2.
Match the answers to the equations. Remember that when one factor halves, the product also halves.
Correct Answer:10 × 8 = 80 so 10 × 4 =,40

40

Correct Answer:4 × 8 = 32 so 4 × 4 = ,16

16

Correct Answer:8 × 8 = 64 so 8 × 4 =,32

32

Correct Answer:3 × 8 = 24 so 3 × 4 =,12

12

Q3.
Match the multiples of 4 and multiples of 8 that give the same product.
Correct Answer:6 × 8,12 × 4

12 × 4

Correct Answer:8 × 3,6 × 4

6 × 4

Correct Answer:4 × 8,8 × 4

8 × 4

Correct Answer:5 × 8,4 × 10

4 × 10

Q4.
When solving word problems, which of these words mean 'multiply'?
split
Correct answer: double
Correct answer: groups of
equal parts
Correct answer: times
Q5.
If you read the words, 'halve' and 'split' in a word problem, you would need to .
subtract
Correct answer: divide
multiply
double
Q6.
Look at the image. If each square was replaced by an octagon, how many sides would the shapes have in total? sides.
An image in a quiz
Correct Answer: 32, 32 sides

6 Questions

Q1.
True or false. Products in the 8 times table are also in the 4 and 2 times tables.
Correct answer: True
False
Q2.
Which of these numbers are multiples of 2 and 4 and 8?
Correct answer: 16
Correct answer: 24
20
Correct answer: 40
28
Q3.
Look at this array. How many of each group does it show?
An image in a quiz
Correct Answer:Groups of 8,3

3

Correct Answer:Groups of 2,12

12

Correct Answer:Groups of 4,6

6

Q4.
Match the doubles and halves.
Correct Answer:Double 8,16

16

Correct Answer:Half of 16,8

8

Correct Answer:Double 12,24

24

Correct Answer:Half of 12,6

6

Correct Answer:Double 9,18

18

Correct Answer:Half of 24,12

12

Q5.
Look at the bar model. What is the missing number from the top bar?
An image in a quiz
Correct Answer: 24, twenty four, Twenty four
Q6.
Use the array to match the factors for the product of 32.
An image in a quiz
Correct Answer:8,4

4

Correct Answer:4,8

8

Correct Answer:2,16

16