Expressing Problems Algebraically

Year 6 MathsAlgebra3 pages

About this worksheet

A matching activity linking worded statements to algebraic expressions, for Year 6 maths. Pupils match single steps like 'I think of a number, n, and add 5', then two-step statements where order matters, then real-life problems such as Sam being 4 years older than Jo. A final question asks why 4n + 5 and 4(n + 5) differ. Answer key included. Matched to the England National Curriculum objective on expressing problems algebraically.

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Curriculum objectives covered

Algebra

โ€œExpress missing number problems algebraicallyโ€

Every matching task turns words into an expression or equation.

What's inside this worksheet

Single-Operation Matching

Statements like 'I think of a number, n, and add 5' matched to expressions.

Two-Step Operations Matching

Pairs such as 'multiply n by 4, then add 5' where the order changes the expression.

Real-Life Problem Matching

Word problems, including sharing a box of pencils between 4 children, matched to equations.

Think About It

Pupils explain why 4n + 5 and 4(n + 5) give different results.

How teachers use it

Main activity

The three graded matching rounds build up to two-step notation in one lesson.

Plenary

The 4n + 5 versus 4(n + 5) question makes a strong closing discussion.

Intervention group

Matching removes the blank-page problem for pupils new to notation.

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