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      Explain the relationship between adjacent multiples of nine

      Lesson details

      Learning outcome

      I can explain the relationship between adjacent multiples of nine.

      Key learning points

      1. Adjacent multiples of nine have a difference of 9
      2. If you add 9 to a multiple of nine you get the next multiple of nine.
      3. If you subtract 9 from a multiple of nine you get the previous multiple of nine.

      Keywords

      • Adjacent - Adjacent means next to each other.

      • Multiple - A multiple is the result of multiplying a number by another whole number.

      Common misconception

      Pupils may not understand the keyword adjacent and have difficult understanding the word problems.

      Model correct usage in a range of contexts including labelling abstract equations and using the term to identify the known elements in worded problems. Take time to show adjacent on number lines connecting to addition and subtraction of equal groups.

      Teacher tip

      The focus of this lesson is using knowledge of multiples of three, and connecting this to adjacent multiples. Chorally rehearsing the 9 times tables at any given opportunity and playing games supports fluency.

      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.
      Identify the multiples of 9

      Correct answer: 18
      29
      Correct answer: 54
      73

      Q2.
      Which multiple of 9 is missing from this sequence? 9, 18, 27, , 45, 54

      Correct Answer: 36

      Q3.
      Which symbol makes this correct? 45 ___ 54

      Correct answer: <
      >
      =

      Q4.
      What is 7 × 9 =

      Correct Answer: 63

      Q5.
      What is 0 × 9 =

      Correct Answer: 0, zero

      Q6.
      What is the missing number? × 9 = 54

      Correct Answer: 6, six

      6 Questions

      Q1.
      Select the adjacent multiple of 9 that comes after 36

      37
      39
      Correct answer: 45
      54

      Q2.
      Select the adjacent multiples of 9 for the number 72

      63 and 73
      60 and 80
      Correct answer: 63 and 81
      81 and 90

      Q3.
      Which symbol goes in the gap to make this correct? 11 × 9 = 10 × 9 ___ 9

      Correct answer: +
      ×
      ÷

      Q4.
      Which symbol goes in the gap to make this correct? 6 × 9 = 5 × 9 ___ 9

      Correct answer: +
      ×
      ÷

      Q5.
      Select the correct symbol to go in the gap: 12 × 9 ___ 11 × 9 + 9

      <
      >
      Correct answer: =

      Q6.
      Order the expressions beginning with the smallest:

      1 - 7 × 9 − 9
      2 - 8 × 9 + 1
      3 - 10 × 9

      To help you plan your 4 maths lesson on: Explain the relationship between adjacent multiples of nine, download all teaching resources for free and adapt to suit your pupils' needs...