The whole is all the parts or everything, the total amount.

A part is a piece or section of the whole.

An equation is used to show that one number, calculation or expression is equal to another.

An expression contains one or more values, where each value is separated by an operator.

Using balanced equations to calculate redistribution

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

True or false? Redistribution from one part to another changes the whole. 

Which of the following images shows an equation?

Which of the following equations describes the balance scales shown?

(450 g  − 50 g) + (50 g + 50 g) = 500 g

(450 g  + 50 g) + (50 g − 50 g) = 500 g

(4.5 kg  + 0.5 kg) + (0.5 kg − 0.5 kg) = 5 kg

(4.5 kg  − 0.5 kg) + (0.5 kg + 0.5 kg) = 5 kg

Which of these equations shows the redistribution in the image?

(5 kg  − 1 kg) + (5 kg − 1 kg) = 10 kg

What is the missing part in this bar model?

Jun buys two frisbees which cost £11.99 each. How much does he spend altogether? Jun spends £{{ }}

Sofia has £20 to spend. She buys a football for £14.50 so how much change should she receive? Sofia should receive £{{ }} change.

Sam thinks of a 2-digit number and then adds 12 before quadrupling it to finish with the number 100
What was her starting number?

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

Using balanced equations to calculate redistribution

Lesson outcome

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