What is the KS3 maths curriculum?

Learn what’s taught in the KS3 maths curriculum which spans Years 7-9 across 6 maths topics covered throughout secondary school.

Author
Mhairi Sim

Published
August 2024

What is the KS3 maths curriculum?

Learn what’s taught in the KS3 maths curriculum which spans Years 7-9 across 6 maths topics covered throughout secondary school.

Author
Mhairi Sim

Published
August 2024

What is the KS3 maths curriculum?

Learn what’s taught in the KS3 maths curriculum which spans Years 7-9 across 6 maths topics covered throughout secondary school.

Author
Mhairi Sim

Published
August 2024

Key takeaways

  • Students study the KS3 maths curriculum for their first three years of secondary school
  • Maths learning is spread across six main mathematical areas
  • There are no formal exams or assessments as a part of the KS3 maths curriculum

The KS3 maths national curriculum takes learners through their first three years of high school. The work learners complete from Year 7 through to the end of Year 9 sets them up for the GCSE learning and exams ahead.

Unlike the Key Stage 2 maths curriculum, the learning points for KS3 maths are not strictly outlined on a year-by-year basis. Instead, there is a set of requirements that must be taught throughout Key Stage 3, meaning that schools can pace the work across Years 7, 8, and 9 as they see fit.

Read on to find out exactly what maths concepts are covered in the national curriculum maths KS3 programme. We’ll take a look at a year-by-year breakdown of learning, and find out how you can help your children as they begin their secondary school journeys!

Everything covered in KS3 maths curriculum

There’s a lot of learning packed into the three years spent on the KS3 maths curriculum. Below are the key learning points across the six main maths topics that should be covered by the end of Year 9:

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Number

Algebra

  • Use and interpret a range of various forms of algebraic notation
  • Ability to substitute numerical values into equations
  • Solve equations using a range of strategies (e.g. simplifying expressions, rearranging formulate, collecting like terms, removing common factors, and more)
  • Translate information from algebraic expressions into graphs, including graphs of linear and quadratic functions
  • Work with coordinates across all four quadrants
  • Recognise various forms of arithmetic and geometric sequences

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Ratio, proportion and rates of change

  • Be able to work across related standard measures of measurement (e.g. mass, time, length, area, and more)
  • Use scale diagrams, maps and scale factors
  • Use ratio notation
  • Express quantities as fractions
  • Solve problems that involve percentage changes, direct and inverse proportion, and algebraic representations

Geometry and measures

  • Use mathematical formulae to solve problems concerning perimeter, area, and volume in a range of shapes
  • Draw and measure properties of shapes, including angles and using scales
  • Use their knowledge of the properties of angles to solve problems involving missing angles
  • Understand the relationship between parallel lines and corresponding and alternate angles
  • Use Pythagoras’ Theorem and trigonometric ratios as a strategy for solving shape-related problems
  • Reflect, rotate, and translate shapes with and without coordinate grids

Probability

  • Conduct simple probability experiments and record, analyse, and describe the results
  • Understand that all probabilities of possible outcomes will total 1
  • Use tables, grids, and Venn diagrams to report and display sets of data
  • Devise theoretical sample spaces of events with different outcomes

Statistics

  • Calculate the mean, mode, median, and range of data sets
  • Display and interpret data through tables and graphical representations
  • Demonstrate relationships between two variables using scatter graphs

For a full list of the statutory learning objectives for the KS3 maths national curriculum take a look at the official KS3 maths programme of study as laid out by the Department of Education.

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Select a year group

  • Number

  • Shape, space and measure

  • Patterns

  • Number and place value

  • Addition and subtraction

  • Multiplication and division

  • Operations (ASMD)

  • Fractions

  • Measure

  • Shape/geometry

  • Statistics

  • Ratio and proportion

  • Algebra

  • Probability

Sample questions

A year-by-year look at the KS3 maths curriculum

While there’s no fixed year-by-year curriculum, the NCEMT (National Center for Excellence in the Teaching of Mathematics) has devised a sample curriculum for each year group as guidance. 

There’s a lot packed into the maths national curriculum KS3 programme, but what does that mean for each year group? Let’s take a year-by-year look at what the main focuses in each year group will be.

Year 7

In Year 7 maths, students will kick off their KS3 maths curriculum by building on the skills learned in primary school to complete more complex number work. This includes using integers and prime factorisation, as well as developing their working knowledge of algebra.

Everything that learners will cover this year is laid out in our Year 7 curriculum guide! You’ll find a detailed look at what kids will cover in each area of maths, as well as tips on how to help your learners out as they start secondary school!

Year 8

Algebra is the star of the show in Year 8 maths! Students will dive deeper into linear equations, simplifying expressions, and questions that require two or more steps to solve.

They’ll also apply their prior learning of multiplicative relationships to solve problems regarding ratios, proportion, and rates of change.

Everything you need to know about this year can be found in our Year 8 maths curriculum guide!

Year 9

In their final year studying the KS3 maths national curriculum, all prior learning is brought together as they tackle the Year 9 maths curriculum!

They’ll apply several different skills from across the curriculum to multi-step problems (e.g. using their knowledge of ratios or multiplicative relationships and algebra together for example).

This year students are also introduced to more complicated trigonometry skills, such as Pythagoras’ Theorem. This can seem daunting, especially when learners ask for homework help. Thankfully we’ve a list of tips on how to help your Year 9 learner that don’t require you to have super maths skills!

How will my child be assessed in KS3 maths?

The national curriculum maths KS3 programme does not include any formal statutory assessments. However, this doesn’t mean the pressure is totally off!

Teachers will still assess their students throughout the years to keep tabs on their learning progress. This will help to address any issues or misunderstandings that can creep in and affect future learning.

How can I help my child with KS3 maths at home?

Getting core maths concepts under their belts and develpping good study and revision habits will have a big impact on learners. This is without a doubt one of the best ways you can help your child with the KS3 maths national curriculum!

Helping them to build routines to keep up with homework and revision is a fantastic place to start. Have them use timetables or planners to organise their week and even let them create a cosy study space to help keep them focused.

Encourage students to spend some of that revision time going over the basics. Much of what they’ll learn throughout the KS3 maths curriculum will build on previous learning. Even brand new concepts they’ll come up against like Pythagoras’ Theorem are rooted in prior learning. So refreshing themselves on core concepts can really help at this stage.

Our Doodle Learning maths app is another great way for learners to brush up on any area of their maths learning. The app will design a tailored programme for each learner of interactive maths activities and games that are fully aligned with the KS3 maths curriculum!

Whether your learners are at the start of their KS3 maths national curriculum journey, or are approaching the end of Year 9, there’s lots of learning to cover! We’ve outlined the key skills they’ll learn and given you some ideas on how to help your kids out this year.

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Lesson credits

Mhairi-headshot

Mhairi Sim

Mhairi is an experienced teacher, freelance writer and parent. After completing her bachelor's degree in Psychology, she graduated as a teacher from the University of Strathclyde. She then built experience teaching across KS1 and KS2 throughout the UK. In addition to working in mainstream education, Mhairi specialised in the additional support needs sector, including social, emotional, and behavioural support.

Mhairi-headshot

Mhairi

Mhairi is an experienced teacher, freelance writer and parent. After completing her bachelor's degree in Psychology, she graduated as a teacher from the University of Strathclyde. She then built experience teaching across KS1 and KS2 throughout the UK. In addition to working in mainstream education, Mhairi specialised in the additional support needs sector, including social, emotional, and behavioural support.

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