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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Video

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.