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.

This shows how the whole can be partitioned into parts and recombined. It demonstrates the equality between the parts and the whole.

Understanding part-part-whole relationships

Maths

Combine parts using the addition symbol

Understand that parts can be represented in any order

Understand the use of the equals sign in equations

Add parts to find the value of the whole and write the equation

Find the missing part in an equation

Partition a whole into two parts and write as a subtraction equation

Using bar models to subtract

Understand the relationship between addition and subtraction

Understand addition as increasing a quantity

In this unit pupils will combine 2 or more parts to make a whole. They will learn addends are represented in any order and the = sign shows the whole and sum of the parts are equal. In the future unit pupils will find missing addends. They will partition a whole into 2 parts representing first, then, now stories with subtraction equations. They will learn + and - are inverse operations.

In prior learning, pupils will have learnt to count confidently and have developed a deep understanding of the numbers to 10, the relationships between them and the patterns within those numbers. In this unit pupils will combine two parts to make a whole, learn that addends are represented in any order and learn that the equals sign shows that the whole and the sum of the parts are equal.

In this unit pupils will combine 2 or more parts to make a whole. They will learn addends can be represented in any order and that the = sign shows the whole and sum of the parts are equal.

Additive structures: addition

Which part-part-whole model represents the picture?

Write an equation to represent this part-part-whole model. Do not use spaces.

Which equations represent this picture? Tick two.

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

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.

Which story could these counters represent?

Use the part-part-whole model to complete the sentence.  {{ }} is the whole.

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

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?

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

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?

Starter Quiz

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