New
New
Year 1

Partition the numbers 8 and 9 in different ways

I can partition the numbers 8 and 9 in different ways and organise them in a systematic way.

New
New
Year 1

Partition the numbers 8 and 9 in different ways

I can partition the numbers 8 and 9 in different ways and organise them in a systematic way.

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Lesson details

Key learning points

  1. Partitioning can be represented on a part-part-whole diagram.
  2. A bar model can be used to represent ways to partition numbers into two parts.
  3. The larger the number the greater the number of combinations.
  4. Being systematic helps you to find all the ways of partitioning a number.

Common misconception

When using patterns to identify combinations, pupils may struggle to be systematic and not identify all options systematically.

Spend time exploring the value of recording combinations within a simple table. Encourage checking, e.g. the amount of counters totals eight. Look for patterns and support children in spotting these.

Keywords

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

  • Partition - To split a whole up into parts.

  • Part-part-whole model - A pictorial representation of a whole and its parts.

Children may try finding all possible combinations through trial and improvement. Encourage more systematic thinking, using reasoning and discussion to spot patterns in both concrete and abstract representations.
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).

Video

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6 Questions

Q1.
What does partitioning mean?
Correct answer: To split a whole into two or more parts.
To combine parts to make the whole.
Q2.
Look at the counters and the part-part-whole model. What is the missing part?
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Correct Answer: 2
Q3.
What is the whole missing from this bar model?
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Correct Answer: 7
Q4.
Andeep thinks the whole shown on this number line is 7 Is he right?
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Yes
Correct answer: No
Q5.
Izzy thinks the missing part on this number line is 2 Is she right?
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Yes
Correct answer: No
Q6.
An image in a quiz
Correct Answer: An image in a quiz
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An image in a quiz
An image in a quiz

6 Questions

Q1.
What is the missing whole in this bar model?
An image in a quiz
Correct Answer: 8
Q2.
Which bar model represents the counters?
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An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Izzy thinks the missing part shown on this number line is 2 Is she right?
An image in a quiz
Correct answer: Yes
No
Q4.
Andeep is going to clap 9 times. He has already clapped 5 times. How many more claps does he need to do?
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Correct Answer: 4
Q5.
Which set of counters will come next if we are ordering the ways to partition 9 systematically?
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An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q6.
Look at the table showing partitions of 8 counters. What number is missing in the table?
An image in a quiz
Correct Answer: 4

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