Understanding part-part-whole relationships | Maths | Quizalize & Oak National Academy

Starter quiz

Use the part-part-whole model to complete the sentence. ______ is the whole.

'5' ✓
Look at the equation. Which of these equations are represented by the part-part-whole model.

8 = 6 + 2 ✓

8 + 2 = 6

2 + 6 = 8 ✓
Jacob partitions a set of objects into two parts. Which picture is represented by this equation? 6 = 4 + 2
Which number represents the whole in this picture?

3

5 ✓

2
Match each equation to the one that could represent the same picture.

10 = 9 + 1

⇔

9 + 1 = 10 ✓

10 = 3 + 7

⇔

3 + 7 = 10 ✓

1 + 8 = 9

⇔

9 = 1 + 8 ✓
Sofia writes four equations to match a picture. 6 = 4 + 2 4 + 2 = 6 2 + 4 = 6 6 = 2 + 4 Which picture could they match?

Which part-part-whole model represents the picture?
Which picture shows partitioning of 7?
Write an equation to represent this part-part-whole model. Do not use spaces.

'5=4+1' ✓
Which equations represent this picture? Tick two.

5 + 0 = 0

5 + 0 = 5 ✓

0 = 5 + 0 ✓
I have 5 pennies altogether. There are 3 pennies in my pocket and 2 pennies in my hand. Which equation would represent this?

3 + 2 = 5 ✓

3 = 2 + 3

5 + 3 = 2
Which story could these counters represent?

There are 10 cakes on a plate. 4 have cherries and 4 do not.

There are 6 cakes on my plate. 4 have cherries.

There are 10 cakes on a plate. 6 have cherries and 4 do not. ✓

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Drawing a part-part-whole model can help you to understand a mathematical story or equation.
Moving counters or cubes within a part-part-whole model can help you to understand a mathematical story or equation.
Describing a problem or equation can help you understand it.
You can tell a story to represent an equation or completed part-part-whole model.

When using part-part-whole models, children may put counters in the parts and whole simultaneously.

Work practically, moving counters to show we can partition the whole into parts and recombine the parts to make the whole again.

Equation - An equation says that two things are equal. It will have an equal sign ( = ) and the expression on either side will have the same value.
Part-part-whole model - This shows how the whole can be partitioned into parts and recombined. It demonstrates the equality between the parts and the whole.