Use a bar model to represent a whole partitioned into two parts | Maths

Starter quiz

Match each word to its definition.
- Partition
  
  ⇔
  
  to split a whole up into parts. ✓
- Combine
  
  ⇔
  
  to put the parts together to make the whole. ✓
Which bar model is showing these cubes partitioned correctly?
Which bar model matches the part-part-whole model?
Jacob has 2 cubes and Izzy has 1 cube. Which bar model is correctly showing their cubes?
Jacob thinks the missing part will be the same for all of these. Is he correct?
- Yes
- No ✓
Izzy thinks the missing part will be the same for all of these. Is she correct?
- Yes ✓
- No

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Partitioning can be represented using the bar model.
There are ___ objects. ___ is the whole.
There are ___ and ___. ___ is a part. ___ is a part.
Combine the bars to form the full bar model, and compare this with the part-part-whole model.

Children may not see the bar model as proportional, so may think that the parts are equal.

Encourage children to see that the bars are proportional to help them get a sense of the size of the parts and whole.

Partition - To split a whole up into parts.
Combine - To put parts together to make a whole.
Bar model - A bar model is a pictorial representation of a problem where bars are used to represent the known and unknown quantities.