Algebraic expressions

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Algebraic expressions

Algebra: Free Resources
Writing with Algebra Year 7 transition lesson showing a square labelled x cm² and a quarter circle labelled y cm², with composite shaded-area diagrams for students to write algebraic expressions.
Ages 11 - 13

Writing Expressions using Diagrams

How to form algebraic expressions from diagrams.
Algebra: Interactive Lessons
A horizontal classroom presentation slide from Mr Mathematics titled Multiplying and Dividing with Algebra. The slide features a blue KS3 Year 7 corner ribbon and a prompt that says Complete the diagram. In the center is a blue box containing 36e squared w y, with four arrows pointing to pink outer boxes, one of which shows an expanded product of 6 times e times e times w times y.
Ages 11 - 13

Multiplying and Dividing with Algebra

How to simplify the product and division of algebraic expressions.
Algebra: Interactive Lessons
Expanding Algebraic Expressions
Ages 14 - 16

Expanding Algebraic Expressions

Students learn how to expand algebraic expression from a set of brackets.
Number: Free Resources
A horizontal transition presentation slide from Mr Mathematics titled Factorising with Powers with a top-right corner ribbon reading Pure 1 AS Maths. The algebraic problem shows an identity where open parenthesis 1 plus y close parenthesis to the power of a half plus 3 times open parenthesis 1 plus y close parenthesis to the power of 3 over 2 is identical to the square root of 1 plus y times open parenthesis a plus b y close parenthesis. A blue box prompt reads Find a and b.
Ages 16 +

Expanding and Factorising Expressions with Fractional Powers

Students learn how to expand and factorise an algebraic expression with fractional powers.
Algebra: Interactive Lessons
Dividing Polynomials
Ages 16 +

Dividing Polynomials

Students learn how divide with polynomials using long division methods.
Algebra: Interactive Lessons
Factor Theorem
Ages 16 +

Factor Theorem

Students learn how to calculate the roots of a cubic expression using the factor theorem.
Algebra: Interactive Lessons
Expanding Two Brackets
Ages 11 - 13

Expanding Two Brackets

Key Stage 3: Year 8: Algebraic Expressions
Algebra: Interactive Lessons
Factorising Quadratics
Ages 11 - 13

Factorising Quadratics

Key Stage 3: Year 8: Algebraic Expressions

Mr Mathematics Blog

Developing Mathematical Thinking Beyond Procedural Fluency

July 10, 2026
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.

Converting Between Fractions, Decimals and Percentages

July 4, 2026
How to teach converting between fractions, decimals and percentages.

From Key Skills to Deep Connections: Problem Solving in Secondary Maths

June 28, 2026
Four problem solving lessons to develop student's mathematical reasoning and communication skills.