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      Multiply a 2-digit number by a 1-digit number using partitioning

      Lesson details

      Learning outcome

      I can use partitioning to organise multiplication.

      Key learning points

      1. When you partition and multiply the ones and then the tens you get partial products.
      2. When you add the partial products you calculate the overall product.
      3. Partitioning helps you to organise multiplication.

      Keywords

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

      Common misconception

      Pupils may not record partitioned factors as tens and ones leading to incorrect calculation.

      Encourage pupils to use the stem sentences to support their thinking. Use the language of ___ tens to support place value.

      Teacher tip

      As pupils learn additional strategies and layouts for multiplication encourage them to begin to think about which is more appropriate and efficient in different situations.

      Content guidance

      Risk assessment required - equipment

      Supervision

      Adult supervision required

      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.
      Match the key words with the correct definitions.

      Correct Answer:Factor,Numbers we can multiply together to get another number.

      Numbers we can multiply together to get another number.

      Correct Answer:Product,The answer when two or more values are multiplied together.

      The answer when two or more values are multiplied together.

      Correct Answer:Regrouping,Moving an amount (usually 10) from one part of a calculation

      Moving an amount (usually 10) from one part of a calculation

      Q2.
      37 can be partitioned into tens and 7 ones

      Correct Answer: 3, three, Three

      Q3.
      79 can be partitioned into 7 tens and ones

      Correct Answer: 9, nine, Nine

      Q4.
      Find the product.

      An image in a quiz
      Correct Answer: 36, thirty six, Thirty six, Thirty-six

      Q5.
      Which grid represents the multiplication equation 37 × 3

      picture 1
      picture 2
      Correct answer: picture 3
      picture 4

      Q6.
      True or false: you only need to regroup once when calculating 44 × 3.

      True
      Correct answer: False

      6 Questions

      Q1.
      Look at the image. What is the name given to the purple values marked with a question mark?

      An image in a quiz
      factors
      products
      Correct answer: partial products

      Q2.
      Select the correct partial product sums for this multiplication: 14 × 4

      40 + 2 + 2
      Correct answer: 40 + 16
      4 + 16
      16 + 20 + 20

      Q3.
      Select the correct partial products for 5 × 47

      Correct answer: 200 + 35
      100 + 100 + 35
      200 + 30 + 5
      20 + 180 + 35

      Q4.
      Match the multiplication equation with the correct partial product pair.

      Correct Answer:26 × 4,80 + 24

      80 + 24

      Correct Answer:6 × 24,120 + 24

      120 + 24

      Correct Answer:54 × 4,200 + 16

      200 + 16

      Q5.
      Choose the correct grid model which represents this informal method.

      An image in a quiz
      pic 1
      pic 2
      pic 3
      Correct answer: pic 4

      Q6.
      Select the correct informal method for the following question: Biscuits cost 27 p each. What is the total of 4 biscuits?

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

      To help you plan your 5 maths lesson on: Multiply a 2-digit number by a 1-digit number using partitioning, download all teaching resources for free and adapt to suit your pupils' needs...