New
New
Year 1

Understanding part-part-whole relationships

I can understand the relationship between equations, part-part-whole models and problems they represent.

New
New
Year 1

Understanding part-part-whole relationships

I can understand the relationship between equations, part-part-whole models and problems they represent.

Share activities with pupils
Share function coming soon...

Lesson details

Key learning points

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

Common misconception

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.

Keywords

• 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.

• Sum - The result of adding two or more numbers.

Ensure that part-part-whole models are presented in different orientations, maintaining the focus on the relationship between the parts and the whole.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Starter quiz

6 Questions

Q1.
Use the part-part-whole model to complete the sentence. is the whole.
Q2.
Look at the equation. Which of these equations are represented by the part-part-whole model.
Correct answer: 8 = 6 + 2
8 + 2 = 6
Correct answer: 2 + 6 = 8
Q3.
Jacob partitions a set of objects into two parts. Which picture is represented by this equation? 6 = 4 + 2
Correct Answer: An image in a quiz
Q4.
Which number represents the whole in this picture?
3
2
Q5.
Match each equation to the one that could represent the same picture.
Correct Answer:10 = 9 + 1,9 + 1 = 10

9 + 1 = 10

Correct Answer:10 = 3 + 7,3 + 7 = 10

3 + 7 = 10

Correct Answer:1 + 8 = 9,9 = 1 + 8

9 = 1 + 8

Q6.
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?
Correct Answer: An image in a quiz

Exit quiz

6 Questions

Q1.
Which part-part-whole model represents the picture?
Correct Answer: An image in a quiz
Q2.
Which picture shows partitioning of 7?
Correct Answer: An image in a quiz
Q3.
Write an equation to represent this part-part-whole model. Do not use spaces.
Correct Answer: 5=4+1, 5=1+4, 1+4=5, 4+1=5
Q4.
Which equations represent this picture? Tick two.
5 + 0 = 0
Correct answer: 5 + 0 = 5
Correct answer: 0 = 5 + 0
Q5.
I have 5 pennies altogether. There are 3 pennies in my pocket and 2 pennies in my hand. Which equation would represent this?
Correct answer: 3 + 2 = 5
3 = 2 + 3
5 + 3 = 2
Q6.
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.
Correct answer: There are 10 cakes on a plate. 6 have cherries and 4 do not.