Partition the numbers 8 and 9 in different ways | Maths

Exit quiz

What is the missing whole in this bar model?

'8' ✓
Which bar model represents the counters?
Izzy thinks the missing part shown on this number line is 2 Is she right?

Yes ✓

No
Andeep is going to clap 9 times. He has already clapped 5 times. How many more claps does he need to do?

'4' ✓
Which set of counters will come next if we are ordering the ways to partition 9 systematically?
Look at the table showing partitions of 8 counters. What number is missing in the table?

'4' ✓

Worksheet

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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.

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.