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Year 7

Checking and securing understanding of multiplication and division

I can use the mathematical structures that underpin multiplication and division of positive integers.

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New
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Year 7

Checking and securing understanding of multiplication and division

I can use the mathematical structures that underpin multiplication and division of positive integers.

Download all resources
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Share activities with pupils
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Lesson details

Key learning points

  1. Multiplication can be made easier by considering factors.
  2. Division can be made easier by considering equivalent calculations.
  3. It can help to think of a context when doing a calculation.

Keywords

  • Partitioning - Partitioning is the act of splitting an object or value down into smaller parts.

  • Dividend - The dividend is what we are dividing.

  • Divisor - The divisor is what we are dividing by.

Common misconception

20 × 50 = 100, they partition the 2 and 5 to give 10 but count the zero as one of the 2 zeroes.

Make sure that partitions are written out fully. E.g. 20 × 50 = 2 × 5 × 10 × 10 = 10 × 100 = 1000

You are likely to hear statements such as 'times the numbers and add the zeros'. It is really important at this stage to insist on correct mathematics. Multiplying by powers of 10 changes the place value of the digits.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), 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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Starter quiz

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6 Questions

Q1.
Complete the statement. units are based around the standard units of metre, gram and litre.
Correct Answer: Metric, metric
Q2.
Mr Oak's bank account has a balance of £135. He spends £220. What is Mr Oak's new balance?
£355
£85
£75
Correct answer: -£85
-£75
Q3.
Jun has sunflower that is 2.12 m tall. Aisha has a sunflower that 168 cm tall. What is the total height of their sunflowers in metres? metres
Correct Answer: 3.8, 3.80, 3.8 m, 3.80 m, 3.8m
Q4.
Match each multiplication to its answer.
Correct Answer:$$12\times 3$$,36

36

Correct Answer:$$4\times 8$$,32

32

Correct Answer:$$6\times 7$$,42

42

Correct Answer:$$9\times 6$$,54

54

Correct Answer:$$7\times 8$$,56

56

Q5.
Which of these show a correct calculation to find the total of 2.2 km, 1260 m and 742 cm ?
Correct answer: 2200 + 1260 + 7.42
2.2 + 1.26 + 0.742
2200 + 1260 + 74.2
Correct answer: 220 000 + 126 000 + 742
2.2 + 1.26 + 7.42
Q6.
Complete the statement. The missing value in this addition pyramid is cm.
An image in a quiz
Correct Answer: 91, 91cm, 91 cm

Exit quiz

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6 Questions

Q1.
Work out $$30\times200$$
60
600
Correct answer: 6000
60 000
Q2.
Use an area model to work out: $$23\times18=$$
Correct Answer: 414
Q3.
Work out: $$123\times12=$$
Correct Answer: 1476, 1 476, 1,476
Q4.
In the calculation $$16\div2$$ the __________ is 2.
addend
dividend
Correct answer: divisor
minuend
subtrahend
Q5.
Match each division to the correct partition.
Correct Answer:$$72\div4$$,$$60\div4+12\div4$$

$$60\div4+12\div4$$

Correct Answer:$$72\div2$$,$$60\div2+12\div2$$

$$60\div2+12\div2$$

Correct Answer:$$72\div3$$,$$60\div3+12\div3$$

$$60\div3+12\div3$$

Correct Answer:$$72\div5$$,$$50\div5+20\div5 + 2\div5$$

$$50\div5+20\div5 + 2\div5$$

Q6.
Work out: $$602\div7=$$
Correct Answer: 86