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      Explain how to multiply a 3-digit number by a 2-digit number

      I can explain how to multiply a 3-digit number by a 2-digit number.

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      Lesson 1 of 15
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      • Year 6

      Explain how to multiply a 3-digit number by a 2-digit number

      I can explain how to multiply a 3-digit number by a 2-digit number.

      Lesson details

      Key learning points

      1. Partition one of the factors.
      2. Calculate the partial products.
      3. Add the partial products to recombine.

      Keywords

      • Partial product - Any of the multiplication results we get leading up to an overall multiplication result is a partial product.

      Common misconception

      Children lack fluency and recall in multiplication tables and therefore lose the thread of longer multiplication strategies.

      Providing multiplication grids and / or adapting questions to focus on known multiplication tables can support learners to focus on the steps of an algorithm.

      This lesson uses Olympics and similar large-scale sport events as contexts for multiplication of larger integers. If adapting contexts, consider real-life contexts in which pupils will encounter 3-digit numbers and have reason to multiply these.
      Teacher tip

      Equipment

      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

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      6 Questions

      Q1.
      Match the equation to its product.

      Correct Answer:1.7 × 10 =,17
      Correct Answer:12.7 × 10 =,127
      Correct Answer:1.07 × 100 =,107
      Correct Answer:1.77 × 100 =,177
      Correct Answer:7.7 × 100 =,770

      Q2.
      What is $$7^2$$?

      36
      14
      9
      Correct answer: 49
      56

      Q3.
      What is $$8^2$$?

      4
      9
      16
      49
      Correct answer: 64

      Q4.
      Calculate the product using short multiplication 42 × 6 =

      Correct Answer: 252

      Q5.
      Calculate the product short multiplication 223 × 5 =

      Correct Answer: 1,115

      Q6.
      Sofia has £99 and Lucas has seven times this amount. How much money does Lucas have? £

      Correct Answer: 693

      Assessment exit quiz

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      6 Questions

      Q1.
      Look at the grid model for 31 × 29 shown. 29 has been partitioned into …

      An image in a quiz
      2 and 9
      20 and 90
      Correct answer: 20 and 9
      9 and 2

      Q2.
      Look at the part–part-whole model. The multiplication expression is:

      An image in a quiz
      45 × 9
      45 × 90
      45 × 91
      Correct answer: 45 × 19

      Q3.
      Which of these part-part-whole models represents 315 × 12

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q4.
      Which of these part-part-whole models represents 55 × 13

      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q5.
      Calculate 45 × 32 = Use a grid model to show your thinking.

      Correct Answer: 1,440

      Q6.
      Calculate 145 × 33 = Use a grid model to show your thinking.

      Correct Answer: 4,785

      Lesson appears in

      UnitMaths / Multiplying and dividing by 2-digit numbers

      Maths

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