Explore the numbers 6 to 10 using the parts and wholes on a number line | Maths

Starter quiz

Which fingers match this sentence: 8 is the whole. 5 is a part and 3 is a part.
Which sentence matches the part-part-whole model?
- 7 can be partitioned into 5 and 2 ✓
- 7 can be partitioned into 5 and 1
- 7 can be partitioned into 5 and 3
- 7 can be partitioned into 5 and 4
What is the missing whole in this part-part-whole model?
- 6
- 9 ✓
- 8
- 7
What is the missing part in this part-part-whole model?
- 2
- 3
- 4
- 5 ✓
Jacob has used 5 and a bit to equal 8 Which pictures show 8 as the whole, 5 as a part and ___ as the other part?
Match the parts to the wholes.
- 6 is the whole.
  
  ⇔
  
  5 is a part and 1 is a part. ✓
- 7 is the whole.
  
  ⇔
  
  5 is a part and 2 is a part. ✓
- 8 is the whole.
  
  ⇔
  
  5 is a part and 3 is a part. ✓
- 9 is the whole.
  
  ⇔
  
  5 is a part and 4 is a part. ✓

Exit quiz

Which beads represent the red and white birds?
Which bar model represents the beads?
What number do the cubes represent on the number line?
- 5
- 6
- 7 ✓
- 8
The number line shows the whole is 8. One part is 5 and the other part is ______
- '3' ✓
What is the missing part on this number line?
- 9
- 4
- 5 ✓
- 0
What is the missing whole on this number line? The missing whole is ______
- '6' ✓

Worksheet

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Lesson Details

Key learning points

Numbers 6 to 9 can be represented as two parts, one part of 5 and a smaller part.
Part-part-whole relationships can be represented as a bar model or on a number line.
A variety of representations, including a number line, can be used to explore the five and a bit structure.

Common misconception

Pupils may not connect more abstract representations of part-part-whole relationships with practical examples showing the five and a bit structure.

Take time to connect the representations pupils are familiar with e.g. show finger numeral representation alongside part-part-whole models and bar models to help pupils understand these all show the same relationship.

Keywords

Partition - To split a whole up into parts.
Whole - All of something. Complete.
Part - A piece or section of a whole.
Bar model - A pictorial representation of a problem where bars are used to represent the known and unknown quantities.
Number line - A line with numbers placed in their correct position.