New
New
Year 1

Partition the numbers one to five in a systematic way

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

New
New
Year 1

Partition the numbers one to five in a systematic way

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

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Lesson details

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.

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.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), 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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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