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      Multiply a 2-digit number by a 1-digit number using expanded multiplication (no regroups)

      Lesson details

      Learning outcome

      I can represent partitioning in a column method for expanded multiplication.

      Key learning points

      1. Knowledge of times tables and place value helps when multiplying 2-digit numbers.
      2. There are similarities between the representations of multiplication.
      3. Arranging the factors in columns allows you to organise the partial products into a column addition.

      Keywords

      • Expanded multiplication - A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.

      • Partial product - Any of the multiplication results that lead up to an overall multiplication result.

      Common misconception

      When using the expanded method, pupils may not align the digits correctly with the same place value.

      Use clear teacher modelling and continue to ask what each digit that has been recorded represents and link back to the place value chart.

      Teacher tip

      When modelling expanded multiplication, encourage children to use the stem sentences when laying out their equations.

      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.
      Look at the multiplication equation. You can partition 17 into 10 and .

      An image in a quiz
      Correct Answer: 7, seven

      Q2.
      Look at the image. Complete the equation.

      An image in a quiz
      Correct Answer: 68, sixty eight, sixty-eight

      Q3.
      Select the correct partial product pair that completes the model in the image.

      An image in a quiz
      10 + 80
      Correct answer: 80 + 10
      8 + 10
      10 + 8

      Q4.
      Select the correct partial product sums for this multiplication equation: 35 × 3

      90 + 10 + 5
      15 + 45 + 45
      9 + 15
      Correct answer: 90 + 15

      Q5.
      Match the multiplication equation with the correct partial product pair.

      Correct Answer:41 × 2,80 + 2

      80 + 2

      Correct Answer:2 × 43,80 + 6

      80 + 6

      Correct Answer:44 × 2,80 + 8

      80 + 8

      Q6.
      Which multiplication equations consist of zero regroups?

      Correct answer: 33 × 3
      34 × 4
      4 × 47
      Correct answer: 4 × 21

      6 Questions

      Q1.
      Sofia is chanting her 4 times tables. 4, 8, 12, What comes next?

      14
      Correct answer: 16
      18
      20

      Q2.
      Look at the image. Which word is the correct label?

      An image in a quiz
      factor
      product
      Correct answer: partial product
      addends

      Q3.
      Look at the image and the missing label. In a multiplication equation this number is known as the .

      An image in a quiz
      Correct Answer: product, Product

      Q4.
      Using short multiplication calculate: 23 × 3

      Correct Answer: 69, sixty nine, Sixty nine, Sixty-nine

      Q5.
      Using short multiplication calculate: 43 × 2

      Correct Answer: 86, eighty six, Eighty-six, eighty-six

      Q6.
      What is the missing factor in this expanded multiplication example?

      An image in a quiz
      Correct Answer: 21, 2 and 1, 2 1, Twenty one, Twenty-one

      To help you plan your 5 maths lesson on: Multiply a 2-digit number by a 1-digit number using expanded multiplication (no regroups), download all teaching resources for free and adapt to suit your pupils' needs...