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      Checking and securing understanding of multiplication and division

      Lesson details

      Learning outcome

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

      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

      Teacher tip

      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.

      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

      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

      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

      To help you plan your 7 maths lesson on: Checking and securing understanding of multiplication and division, download all teaching resources for free and adapt to suit your pupils' needs...