Partition the numbers 6 and 7 in different ways | Maths

Starter quiz

3 is an ___ number.

even

odd ✓
4 is an ___ number.

even ✓

odd
Look at the part-part-whole model. What is the whole?

'6' ✓
Look at the part-part-whole model. What is the missing part?

'2' ✓
Alex thinks that 6 can be partitioned into 5 and 2 Is he right?

Yes

No ✓
Aisha is going to clap 7 times. She has already clapped 5 times. How many more claps does she need to do?

'2' ✓

Exit quiz

What number is missing from the part-part-whole model? The whole is 7 One part is 4 and one part is ______

'3' ✓
Alex thinks that 6 can only be partitioned into one odd and one even part. Is he right?

Yes

No ✓
Which part-part-whole model represents the cubes?
Which bar model represents the counters?
Alex thinks the whole is 7 in this number line. Is he right?

Yes ✓

No
Which set of counters will come next if we are ordering the partitions of 7 systematically?

Worksheet

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Lesson Details

Key learning points

There is more than one way to partition a number.
When a number is partitioned into two parts the parts can be odd or even.

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 six. Look for patterns and support children in spotting these.

Keywords

Partition - To split a whole up into parts.
Whole - All of something. Complete.
Part - A piece or section of a whole.