Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Partition the numbers one to five in a systematic way

      Lesson details

      Learning outcome

      I can partition the numbers one to five in a systematic way and know when I have found all the combinations.

      Key learning points

      1. Know there are different ways to partition the numbers one to five.
      2. Know each of the numbers one to five can be partitioned in a systematic way.
      3. Use part-part-whole models to record the different combinations systematically.
      4. Use a table to record the different combinations systematically.

      Keywords

      • Partition - Partition means to split up a whole into parts.

      • Part-part-whole model - A part-part-whole model is a pictorial representation that shows the whole and its parts.

      • Combination - Any way two or more parts can be put together.

      • Working systematically - Having an order to the way we work, identifying and using patterns.

      • Table - A way of showing information (such as numbers and descriptions), arranged in rows and columns.

      Common misconception

      When using patterns to identify combinations, it will be easy to make errors in recording.

      Spend time exploring the value of recording combinations within a simple table. Encourage checking, e.g. the amount of counters totals 5.

      Teacher tip

      The first part of this lesson focuses on finding all possible combinations through trial and error. The second part encourages more systematic thinking, leading children to find all possible combinations quicker and check that none have been missed.

      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

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Is 5 the whole or a part?

      An image in a quiz
      Correct answer: Whole
      Part

      Q2.
      Is 4 the whole or a part?

      An image in a quiz
      Whole
      Correct answer: Part

      Q3.
      What is the whole?

      An image in a quiz
      2
      3
      Correct answer: 4

      Q4.
      What is the missing part?

      An image in a quiz
      Correct answer: 1
      2
      3

      Q5.
      Which part-part-whole model is showing Sam’s counters correctly partitioned?

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

      Q6.
      Which part-part-whole model is showing Alex’s counters correctly partitioned?

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

      6 Questions

      Q1.
      Look at the wholes in these pictures. Which is the odd one out?

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

      Q2.
      Sam has 3 counters, and Alex has 1 counter. Which part-part-whole model is showing their counters?

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

      Q3.
      Sam has 3 counters, and Alex has 2 counters. Which part-part-whole model is showing their counters?

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

      Q4.
      Which part-part-whole model matches the top row of the table?

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

      Q5.
      Which picture would come next if working in a systematic order?

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

      Q6.
      Which number is missing in the table?

      An image in a quiz
      1
      Correct answer: 2
      3
      4
      5

      To help you plan your 1 maths lesson on: Partition the numbers one to five in a systematic way, download all teaching resources for free and adapt to suit your pupils' needs...