Introduction to Secondary Maths

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This Key Stage 3 Introduction to Secondary Maths scheme of work supports the start of Year 7 by revisiting core skills from Key Stage 2 in applied contexts: number fluency (including times tables), geometric reasoning and symmetry, calculator use, and problem-solving routines. The unit is designed to help you establish expectations for secondary mathematics while observing what students already know.

Use the sections below to align the unit with your department’s transition plans, agree vocabulary and calculator conventions, and sequence teaching so students strengthen fluency before you increase demand elsewhere in the curriculum. The lesson list at the end matches the published sequence for this scheme on Mr Mathematics.

Published: 30 July 2022 | Last updated: April 2026

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Curriculum Hub

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How to use this scheme

Use the prerequisite checklist to decide whether students need consolidation on times tables, place value or shape vocabulary before you move on. The lessons are suited to pair and small-group work—use them to observe reasoning, written methods and calculator habits, then feed insights into your next steps for the year group. Teach in the order shown under Lessons where possible so problem-solving themes build before the calculator-focused lesson.

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Members get full access to editable PowerPoints, worksheets, solutions and additional revision resources that match Mr Mathematics lessons. If you want everything in one place for planning and departmental use, see Mr Mathematics membership.

Prerequisite knowledge

Students should be able to do the following before or during early lessons in this unit. Use the list to diagnose gaps and plan short consolidation if needed.

Recall multiplication and division facts for multiplication tables up to 12 × 12.
Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, and dividing by 1.
Solve problems involving multiplying and adding.
Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
Identify lines of symmetry in 2D shapes presented in different orientations.

Key concepts

These ideas shape how Key Stage 3 Introduction to Secondary Maths is taught as a transition unit rather than a single topic test.

This unit is designed to help teachers assess students’ baseline knowledge of mathematics at the start of secondary school.
Students work in pairs or small groups on problem-solving activities involving timetables, shape, calculator use and place value.
Prompt students to draw on prior learning—place value, order of operations, times tables facts, reflective symmetry and properties of 2D shapes—when tackling unfamiliar problems.

Working mathematically

The following expectations summarise the strands your original materials highlighted for fluency, reasoning and problem solving in this introductory unit.

Develop fluency
- Consolidate numerical and mathematical capability from Key Stage 2 and extend understanding of the number system and place value to include decimals, fractions, powers and roots.
- Select and use appropriate calculation strategies to solve increasingly complex problems.
- Use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships.
- Use language and properties precisely to analyse numbers, algebraic expressions, and 2D and 3D shapes, probability and statistics.
Reason mathematically
- Extend understanding of the number system; make connections between number relationships, and their algebraic and graphical representations.
- Make and test conjectures about patterns and relationships; look for proofs or counter-examples.
- Begin to reason deductively in geometry, number and algebra, including using geometrical constructions.
Solve problems
- Develop mathematical knowledge, in part through solving problems and evaluating outcomes, including multi-step problems.
- Develop use of formal mathematical knowledge to interpret and solve problems.
- Begin to model situations mathematically and express results using a range of formal mathematical representations.
- Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

Subject content

Below is the Key Stage 3 content your original materials linked to this introductory unit, organised for clarity.

Number
- Use the concepts and vocabulary of prime numbers, factors (or divisors), and multiples.
- Use the four operations, including formal written methods, applied to integers.
- Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals.
- Use integer powers and associated real roots.
- Use a calculator and other technologies to calculate results accurately and interpret them appropriately.
- Use standard units of mass, length, time, money and other measures.
Algebra
- Generate terms of a sequence from either a term-to-term or a position-to-term rule.
Geometry and measures
- Derive and illustrate properties of triangles, quadrilaterals, circles and other plane figures (for example equal lengths and angles) using appropriate language and technologies.
- Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures.

Frequently asked questions

What is included?
This page summarises the curriculum focus for the unit. Full teaching packs (lessons, questions and answers) are available through the site and membership where applicable.

Which skills are developed?
Students revisit core numeracy and geometric ideas in problem-solving contexts, practise calculator skills where appropriate, and strengthen the routines needed for reasoning and multi-step problems in secondary mathematics.

Can lessons be used independently?
Yes—individual lessons can be taught standalone if you adjust the prior-knowledge check, though teaching in sequence usually gives the smoothest progression.

Does this support GCSE?
Yes. Fluency, calculator use and geometric reasoning established in Key Stage 3 underpin large parts of GCSE mathematics; this unit supports secure foundations at the start of secondary school.

Lessons in this Introduction to Secondary Maths scheme of work

These lesson titles match the scheme sequence on Mr Mathematics. Link or embed question generators, online lessons and downloadable resources from each lesson page as needed.