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Lesson 2 of 5
Explain the relationship between adjacent multiples of three
I can explain the relationship between adjacent multiples of three.
Lesson 2 of 5
New
New
Explain the relationship between adjacent multiples of three
I can explain the relationship between adjacent multiples of three.
Lesson details
Key learning points
- Adjacent multiples of 3 have a difference of 3.
- If you add 3 to a multiple of 3 you get the next multiple of 3.
- If you subtract 3 from a multiple of 3 you get the previous multiple of 3.
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.
The focus of this lesson is using knowledge of multiples of three, and connecting this to adjacent multiples. Chorally rehearsing the 3 times tables at any given opportunity and playing games supports fluency.
Teacher tip
Equipment
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
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6 Questions
Q1.Starting at 15, order the next multiples of 3
Starting at 15, order the next multiples of 3
Q2.Complete the sentence. factor × factor =
Complete the sentence. factor × factor =
Q3.Look at this image. What is the total number of vertices on the triangles? vertices
Look at this image. What is the total number of vertices on the triangles? vertices
Q4.What is the product of the factors 3 and 8?
What is the product of the factors 3 and 8?
Q5.Look at this image. Which numbers are factors for the total number of spots on the dice?
Look at this image. Which numbers are factors for the total number of spots on the dice?
18
Q6.12 new books are bought for the classroom. Each book costs £3. What is the total cost of the books? £
12 new books are bought for the classroom. Each book costs £3. What is the total cost of the books? £
Assessment exit quiz
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6 Questions
Q1.True or false: This list shows adjacent multiples of 3 3, 6, 9, 12, 15, 18, 21
True or false: This list shows adjacent multiples of 3 3, 6, 9, 12, 15, 18, 21
False
Q2.Adjacent multiples of 3 can be found by increasing or decreasing a multiple by .
Adjacent multiples of 3 can be found by increasing or decreasing a multiple by .
Q3.27 is a multiple of 3 Which multiples of 3 are adjacent to 27?
27 is a multiple of 3 Which multiples of 3 are adjacent to 27?
21
33
36
Q4.A multiple of 3 is missing from the number line. How can we use the adjacent multiples in this example?
A multiple of 3 is missing from the number line. How can we use the adjacent multiples in this example?
Count back from 15 by 3
Count on 9 by 3
Count in threes from zero
Q5.Here is part of the 3 times table grid. What could Izzy do to find 13 × 3?
Here is part of the 3 times table grid. What could Izzy do to find 13 × 3?
Count in fours from zero
Q6.Using your knowledge of groups, order the expressions starting with the greatest product.
Using your knowledge of groups, order the expressions starting with the greatest product.