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Explain the relationship between adjacent multiples of four

Lesson details

Learning outcome

I can explain the relationship between adjacent (neighbouring) multiples of four.

Key learning points

  1. Adjacent multiples of 4 have a difference of 4
  2. If you add 4 to a multiple of 4 you get the next multiple of 4
  3. If you subtract 4 from a multiple of 4 you get the previous multiple of 4

Keywords

  • Adjacent - Adjacent means next to each other.

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

Common misconception

Pupils may not understand the keyword adjacent and have difficult understanding the word problems.

Model correct usage in a range of contexts including labelling abstract equations and using the term to identify the known elements in worded problems. Take time to show adjacent on number lines connecting to addition and subtraction of equal groups.

Teacher tip

The focus of this lesson is using knowledge of multiples of four, and connecting this to adjacent multiples. Chorally rehearsing the 4 times tables at any given opportunity and playing games supports fluency.

Licence

This content is © Oak National Academy Limited (2025), 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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Prior knowledge starter quiz

6 Questions

Q1.
Starting at 20, order the next multiples of 4

1 - 24
2 - 28
3 - 32
4 - 36
5 - 40
6 - 44
7 - 48

Q2.
Complete the sentence. Factor × = product.

Correct Answer: factor, Factor, FACTOR

Q3.
Look at this image. What is the total number of vertices on the squares?

An image in a quiz
Correct Answer: 16, sixteen, 16 vertices

Q4.
What is the product of the factors 4 and 9?

Correct Answer: 36, thirty six

Q5.
Look at this image. Which numbers are factors for the total number of spots on the dice?

An image in a quiz
Correct answer: 4
24
Correct answer: 6

Q6.
7 new books are bought for the classroom. Each book costs £4. What is the total cost of the books? £ .

Correct Answer: 28, £28, twenty eight, 28 pounds

6 Questions

Q1.
True or false. The number line shows adjacent multiples of 4.

An image in a quiz
Correct answer: True
False

Q2.
Adjacent multiples of 4 can be found by increasing or decreasing a multiple by .

Correct Answer: 4, four

Q3.
20 is a multiple of 4. Which multiples of 4 are adjacent to 20?

An image in a quiz
19
Correct answer: 16
21
Correct answer: 24
22

Q4.
A multiple of 4 is missing from the number line. How can we use the adjacent multiples in this example?

An image in a quiz
Correct answer: Decrease 36 by 4
Count in fours from zero
Correct answer: Increase 28 by 4

Q5.
Here is part of the 4 times table grid. Which could Izzy do to find 13 × 4?

An image in a quiz
Correct answer: Increase 48 by 4
Count in fours from zero
Correct answer: 12 × 4 + 4

Q6.
Using your knowledge of groups, order the expressions starting with the greatest multiple.

1 - 9 × 4
2 - 4 × 7
3 - 6 x 4
4 - 4 × 3

To help you plan your 3 maths lesson on: Explain the relationship between adjacent multiples of four, download all teaching resources for free and adapt to suit your pupils' needs...