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This Key Stage 3 algebraic notation scheme of work is designed to help teachers introduce algebra to students in Key Stage 3. It focuses on writing and interpreting algebraic notation, simplifying expressions and building the early algebra skills that support later work in Key Stage 3 and GCSE maths.
The resources in this scheme are intended for classroom teaching, revision and intervention. Each lesson is designed to help students become confident with algebraic notation through clear explanations, worked examples and structured practice.
Published: October 2016 | Last updated: April 2026
Explore more topics, lessons and teaching resources in the Mr Mathematics Curriculum Hub, where teachers can browse maths teaching resources across Key Stage 3, GCSE and A Level.
I use a scheme like this to build confidence with algebra from the start, so pupils see notation and simplification as logical steps rather than disconnected rules. The lessons work well as a sequence but can also be used individually for homework, revision or targeted intervention.
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Before starting this scheme, students should already have met simple algebraic ideas in number patterns, formulae and missing number problems. They do not need advanced algebra, but they should be ready to interpret letters as numbers and begin working with simple expressions.
This scheme introduces students to the conventions of algebraic notation and helps them move from arithmetic language to algebraic structure. The focus is on writing expressions correctly, interpreting notation accurately and simplifying expressions with confidence.
Through this scheme, students develop fluency in writing and simplifying algebraic expressions, reason about how notation represents number relationships and solve problems by interpreting symbols accurately. The lessons are designed to help students recognise structure and explain their thinking clearly.
The subject content in this scheme focuses on early algebra, particularly the correct use of notation and the simplification of expressions. These ideas form an important foundation for later work in algebra across Key Stage 3 and into GCSE maths.
What is included in this Key Stage 3 algebraic notation scheme of work?
A structured sequence of early algebra objectives supported by ready-to-teach lessons and practice resources.
Which skills does this scheme develop?
Students learn to interpret algebraic notation, write expressions correctly, collect like terms and apply substitution accurately.
Can the lessons be used independently?
Yes, each lesson can be taught as part of the full scheme or used on its own for revision, intervention or homework.
Does this scheme support progression into GCSE maths?
Yes, it builds the notation and simplification skills students need before moving on to more demanding algebra topics.
The lessons below support this scheme of work and are designed for classroom use. Each one includes clear teaching steps, worked examples and structured practice to help students become confident with algebraic notation and early algebraic manipulation.
Students learn how to describe the unique properties of triangles.
They explore the unique triangles that can be made on a square and isometric grid.
Students learn how to identify and describe quadrilaterals by their unique properties
As learning progresses, they are challenged to recreate quadrilaterals using keywords
Students learn how to tessellate a shape on a square grid.
They perform tessellations on an isometric grid as learning progresses.
Students learn about the unique properties of D shapes.
As learning progresses, students are challenged to sketch the solids using perspective drawings.
This Key Stage 3 mathematics lesson focuses on coordinate geometry and geometric properties. Students work on identifying and constructing shapes such as rectangles, triangles, parallelograms, and kites based on given coordinates.
Through problem-solving tasks, they determine missing points, explore multiple solutions, and ensure specific geometric properties are met.
Additional practice learning about tessellation.
The problem-solving activity challenges students to find the perimeter of a tessellation.
Additional practice describing the unique properties of quadrilaterals.
The problem-solving activity challenges students to derive proof using the angle properties of a kite.
Students revise how to describe the unique properties of each quadrilateral.
As learning progresses, they use the properties of quadrilaterals to solve complex geometry problems.
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Teoni F Paape says:
Very useful and straight forward. Would love to make use of these in my classroom and to help prepare teacher training programs in Numeracy.