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.

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.
  3. Describing a problem or equation can help you understand it.
  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).

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6 Questions

Q1.
Use the part-part-whole model to complete the sentence. is the whole.
An image in a quiz
Correct Answer: 5, five
Q2.
Look at the equation. Which of these equations are represented by the part-part-whole model.
An image in a quiz
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
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q4.
Which number represents the whole in this picture?
An image in a quiz
3
Correct answer: 5
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
An image in a quiz
An image in a quiz
An image in a quiz

6 Questions

Q1.
Which part-part-whole model represents the picture?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q2.
Which picture shows partitioning of 7?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Write an equation to represent this part-part-whole model. Do not use spaces.
An image in a quiz
Correct Answer: 5=4+1, 5=1+4, 1+4=5, 4+1=5
Q4.
Which equations represent this picture? Tick two.
An image in a quiz
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?
An image in a quiz
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.