Explain the relationship between adjacent multiples of three | Maths

Starter quiz

Starting at 15, order the next multiples of 3
- 1
  
  ⇔
  
  15
- 2
  
  ⇔
  
  18
- 3
  
  ⇔
  
  21
- 4
  
  ⇔
  
  24
- 5
  
  ⇔
  
  27
Complete the sentence. factor × factor = ______
- 'product' ✓
Look at this image. What is the total number of vertices on the triangles? ______ vertices
- '12' ✓
What is the product of the factors 3 and 8?
- '24' ✓
Look at this image. Which numbers are factors for the total number of spots on the dice?
- 6 ✓
- 3 ✓
- 18
12 new books are bought for the classroom. Each book costs £3. What is the total cost of the books? £______
- '36' ✓

Exit quiz

True or false: This list shows adjacent multiples of 3 3, 6, 9, 12, 15, 18, 21
- True ✓
- False
Adjacent multiples of 3 can be found by increasing or decreasing a multiple by ______.
- '3' ✓
27 is a multiple of 3 Which multiples of 3 are adjacent to 27?
- 21
- 24 ✓
- 30 ✓
- 33
- 36
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
- Count on from 21 by 3 ✓
Here is part of the 3 times table grid. What could Izzy do to find 13 × 3?
- Increase 36 by 3 ✓
- Count in fours from zero
- 12 × 3 + 3 ✓
Using your knowledge of groups, order the expressions starting with the greatest product.
- 1
  
  ⇔
  
  9 × 3
- 2
  
  ⇔
  
  3 × 7
- 3
  
  ⇔
  
  6 × 3
- 4
  
  ⇔
  
  3 × 3

Worksheet

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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.

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.

Keywords

Adjacent - Adjacent means next to each other.
Multiple - A multiple is the result of multiplying a number by another whole number.