KS3 Mathematics

Course Introduction

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

Student Objectives

Become fluent in the fundamentals of mathematics, through varied and frequent practice with increasingly complex problems over time.
Develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
Reason mathematically by following a line of enquiry, finding relationships and generalisations.
Develop an argument, justification or proof using mathematical language.
Solve problems by applying mathematics to a variety of routine and non-routine problems with increasing sophistication.
Break down problems into a series of simpler steps and persevere in seeking solutions.
Apply your mathematical knowledge in science, geography, computing and other subjects.

Course Content
Year 7
Number: Place value, calculations, fractions, decimals and percentages, rounding, multiples, factors and primes, calculator methods.
Algebra: Sequences and functions, algebraic manipulation, equations, formulae and identities.
Ratio, proportion and rates of change: Fractions of an amount, simplifying ratios, solving simple ratio problems.
Geometry and measures: Area, perimeter, 3-D solids, coordinates, angles, constructions, transformations.
Probability: Probability scale, collect data and estimate probabilities.
Statistics: Averages, collect, display and interpret data, Venn diagrams.

Year 8
Number: Factors, multiples and primes, fractions, decimals and percentages, calculations, estimation.
Algebra: Algebraic techniques, sequences, functions and graphs, equations.
Ratio, proportion and rates of change: Ratio and direct proportion, unitary method, compound measures.
Geometry and measures: Lines, angles and shapes, metric and imperial units, area, perimeter, transformations, scale drawings, loci, polygons.
Probability: Mutually exclusive events.
Statistics: Collect, display and interpret continuous data, Venn diagrams.

Year 9
Number: Fraction calculations, reverse percentage problems, repeated proportional change, factors, powers and roots, approximation.
Algebra: Sequences, inverse functions, special number sequences, substitute into formulae, derive simple formulae.
Ratio, proportion and rates of change: Convert between metric units of length, capacity and volume.
Geometry and measures: Solve problems using geometrical properties of shapes, angles and parallel lines, Pythagoras’ theorem.
Probability: Problems involving adding and subtracting probabilities, tree diagrams.
Statistics: Two way tables, scatter graphs, discrete and continuous data.


Students are set homework regularly to assess their level of understanding of each topic, written feedback and targets will be given for written homework. The students sit short assessments at the end of each unit of work, this work will be levelled. At the end of each year students sit tests that cover the work completed throughout the year.


What it leads to in KS4
When students enter key stage 4 they build on the learning from key stage 3 to further develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. They should also apply their mathematical knowledge wherever relevant in other subjects and in financial contexts.
At KS4 all students study GCSE Mathematics, students will be entered for the Higher or Foundation tier where the grades available are from 1 to 9.