The difference is the result of subtracting one number from another. How much one number differs from another.

Compare the structure of problems with one or two unknowns

Maths

In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement. In the future unit this understanding is formalised through the use of algebraic notation. 

In the prior unit pupils explained how to balance equations with addition or subtraction expressions and used knowledge of balancing equations to solve problems. In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement.

Solving problems with two unknowns

Working systematically means to solve a problem in an ordered and methodical way to ensure all outcomes are recorded.

To solve something efficiently means to solve a problem quickly whilst also maintaining accuracy.

Represent the structure of a problem with two unknowns in context

The sum is the total when numbers are added together.

Explain why there is sometimes only one solution to a problem

A coefficient is number used to multiply an unknown value.

Represent and solve problems with two unknowns efficiently

To represent something means to show something in a different way.

Use a bar model to represent spatial problems with two unknowns

Explain how to represent an equation with a bar model

Solve problems with two unknowns in a range of contexts

To work systematically means to work in an organised way, often according to a fixed plan or system.

Infinite means without an end. If something is unlimited, you could say it has an infinite number of things.

Explain how you know you have found all the possible solutions to a problem with two unknowns

The result of subtracting one number from another number is known as the difference.

The value used to subtract from the whole is known as the subtrahend.

Explain how to balance an equation with two unknowns

If something is precise, it is exact, accurate and careful about the details.

Solving problems with two unknowns

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These lessons will be removed by end of Summer Term 2025.