A budget is the total amount of money that you have to spend on something. It is often split into parts and money can be redistributed between these parts.

An unknown is a quantity that has a set value but it is represented by a symbol or letter.

When you adjust you make a change to a number.

Redistribution is where some of one part is moved to another part. It is sometimes known as the same sum rule.

Use equivalence and compensation strategies to solve addition problems in a range of contexts

Maths

In this unit pupils used the concept of same sum to simplify and solve addition problems. In the future unit pupils will solve calculations with missing addends and use the same difference rule to balance equations. They will explain how increasing or decreasing the minuend affects the difference.

In the prior unit pupils identified structures within stories using their knowledge of structures to create stories. They used their knowledge of additive structures to solve problems. In this unit pupils used the concept of same sum to simplify and solve addition problems

Use equivalence and compensation to simplify and solve addition calculations

The total amount of money you have to spend on something

Which of the following best describes the word budget?

Solve the following addition without using a written method.
£6,999 + £1,750 = £{{ }}

Find the unknown in the equation below.
£6,999 + £1,750 + £{{ }} = £10,000

The chart shows how many vegetables have been sold. Then, 6 more onions, 2 more spring onions and 4 more potatoes were sold. 5 radishes were returned. How many vegetables have been sold now?

What is the unknown garden part of the budget shown in the bar model? The budget for the garden is £{{ }}

The budget was £10,000 and the graph shows the savings and extra costs. Was this over or under budget?

What symbols do we make use of when comparing two or more expressions with different values?

What is the unknown in the bar model? £{{ }}

The tally chart shows the number of vegetables sold in a week from a greengrocers. How many were sold altogether?

Calculate the following sum using adjustment.
£99 + £154 = £{{ }}

Calculate the following sum using adjustment.
£{{ }} = £1,999 + £2,500

Use mental strategies to calculate the unknown in the bar model. The unknown is £{{ }}

This lesson will be removed by end of Summer Term 2025.

Use equivalence and compensation strategies to solve addition problems in a range of contexts

Lesson outcome

This lesson will be removed by end of Summer Term 2025.