Explain the relationship between adjacent multiples of seven | Maths

Starter quiz

For each sequence, match it to the multiple of 6 which will come next.
- 6, 12
  
  ⇔
  
  18 ✓
- 24, 30, 36
  
  ⇔
  
  42 ✓
- 60, 66
  
  ⇔
  
  72 ✓
- 54, 48, 42
  
  ⇔
  
  36 ✓
Which multiple of 9 is missing from this sequence? 9, 18, 27, 36, ______, 54
- '45' ✓
What is 0 × 8 =______
- '0' ✓
Look at this equation; 8 × 9 = 72 Match the numbers to the correct label.
- 8
  
  ⇔
  
  factor ✓
- 72
  
  ⇔
  
  product ✓
- 9
  
  ⇔
  
  factor ✓
Imagine seven hexagons. What is the total number of sides for all of the shapes? ______ sides.
- '42' ✓
Match the multiplication expression to the correct product.
- 9 × 6
  
  ⇔
  
  54 ✓
- 4 × 8
  
  ⇔
  
  32 ✓
- 3 × 9
  
  ⇔
  
  27 ✓
- 6 × 4
  
  ⇔
  
  24 ✓
- 7 × 8
  
  ⇔
  
  56 ✓

Exit quiz

Select the next multiple of 7 that comes after 28
- 29
- 35 ✓
- 37
- 42
Match the parts of the sentence correctly.
- To find the next multiple of 7
  
  ⇔
  
  you need to add 7 ✓
- To find the previous multiple of 7
  
  ⇔
  
  you need to subtract 7 ✓
Select the previous and next multiples of 7 for the number 49
- 40 and 50
- 56 and 63
- 42 and 56 ✓
- 42 and 35
Adjacent multiples of 7 have a __________ of 7
- sum
- difference ✓
- total
Laura knows that 3 groups of 7 is equal to 21 How can she use this to calculate 4 groups of 7?
- Add 7 to 21 ✓
- 3 × 7 − 7
- Subtract 7 from 21
- 3 × 7 + 7 ✓
Laura needs to find the previous multiple of 7 to complete the table. Which symbol will make this correct? 10 × 7 ___ 7 = 63
- +
- ×
- − ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

Adjacent multiples of 7 have a difference of 7
If you add 7 to a multiple of 7 you get the next multiple of 7
If you subtract 7 from a multiple of 7 you get the previous multiple of 7

Common misconception

Pupils may not see that adjacent multiples of seven differ by exactly seven.

Show that each step in the 7 times table is adding seven to the previous multiple, reinforcing the concept with number lines or skip counting, use visual aids such as a number line.

Keywords

Multiple - A multiple is the result of multiplying a number by another whole number.
Adjacent - Adjacent means next to each other. An adjacent multiple is a multiple next to another. It could be before or after.