The new KS3 maths programme of study

The main change in KS3 maths is the increased focus on mathematical reasoning and being able to express mathematical arguments formally. The idea behind these changes is that students are able to develop a clearer understanding of mathematical concepts which will better prepare them for GCSEs and further education.

For the first time, the new maths curriculum specifically mentions the need for teachers to challenge gifted students by offering them richer and more sophisticated problems rather than moving to key stage 4 material. For those who do not grasp mathematical concepts as quickly, the focus will be on enabling them to have additional practice to consolidate their understanding.

Changes have been made within all topics:

**Develop fluency**

Students should be taught to:

**Extend their understanding**of the number system and place value to include decimals, fractions, powers and roots

**Rearrange**and simplify expressions

**Reason mathematically**

Students should be taught to:

**Make and test conjectures**about patterns and relationships;**look for proof**and counter examples

- Begin to
**reason deductively**in geometry, number and algebra, including using geometrical constructions

**Interpret**when the structure of a numerical problem requires additive, multiplicative or proportional reasoning

**Problem**** solving**

- Solve and
**evaluate the outcomes**of multi-step problems

- Develop their use of
**formal mathematical knowledge**to interpret and solve problems,**including in financial mathematics**

Students should be taught to:

- Understand and use place value for decimals, measures and integers of any size

- Order positive and negative integers, decimals and fractions

- Use the concepts and vocabulary of:

- prime numbers, factors (or divisors), multiple, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation

**Use product notation**and the unique factorisation property

- Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<x?b

**Appreciate the infinite nature**of the sets of integers, real and rational numbers

Students should be taught to:

- Use equations in the Cartesian plane when recognising, sketching and producing graphs of linear and quadratic functions

- Use piece-wise linear graphs to find approximate solutions to contextual problems

Students should be taught to:

- Understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction

Students should be taught to:

- Identify and construct congruent triangles

(Loci and bearings has been removed form this unit.)

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ConquerMaths is an online teaching resource that can be used at home by parents or by schools as a teaching resource. It covers UK curriculum ages 4-18 in Mathematics.

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Stuck on homework Key Stage 3 online Maths resource provides full, unlimited access to 180 x essential Bitesize Maths Video Lessons that cover all the curriculum subjects taught between Years 7 and 9. This resource provides 'Test Yourself' quizzes that help students test their knowledge after watching a lesson as well as a personal Dashboard that records your Quiz results and viewing history. The lessons are taught by experienced Head of Maths, Rebecca Johnson who starts at the very basics and takes you through to the level required at secondary school. This is also a very useful resource to use for your 11+ exam and if you are studying GCSE and are struggling with some of the topics, this resource will start you at the very beginning. The topics covered are: Numbers, Algebra, Geometry and Data Handling. This resource is perfect for Students And Parents who are struggling with Maths when they join Secondary School or are Home Tutored. It's simple and it really works!

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