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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
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
- Partitioning can be represented on a part-part-whole diagram.
- A bar model can be used to represent ways to partition numbers into two parts.
- The larger the number the greater the number of combinations.
- Being systematic helps you to find all the ways of partitioning a number.
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.
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.
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).
Lesson video
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Starter quiz
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6 Questions
Q1.
What does partitioning mean?
To combine parts to make the whole.
Q2.
Look at the counters and the part-part-whole model. What is the missing part?
Q3.
What is the whole missing from this bar model?
Q4.
Andeep thinks the whole shown on this number line is 7
Is he right?
Yes
Q5.
Izzy thinks the missing part on this number line is 2
Is she right?
Yes
Q6.
Exit quiz
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6 Questions
Q1.
What is the missing whole in this bar model?
Q2.
Which bar model represents the counters?
Q3.
Izzy thinks the missing part shown on this number line is 2
Is she right?
No
Q4.
Andeep is going to clap 9 times. He has already clapped 5 times. How many more claps does he need to do?
Q5.
Which set of counters will come next if we are ordering the ways to partition 9 systematically?
Q6.
Look at the table showing partitions of 8 counters. What number is missing in the table?
Additional material
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