# The Mathematics Curriculum

### Subject aim

Maths is for everyone. It is diverse, engaging and essential in equipping students with the right skills to reach their future destination, whatever that may be. An ‘Excellent student of Maths’ is able to reason and tackle mathematical problems they are presented with, in order that they can successfully navigate and understand the world as a numerate adult and also as a problem solver.

Our intent to achieve this excellence is by implementing a knowledge rich curriculum for our students which is coherently planned and sequenced towards allowing our students to master the knowledge and competencies required for future learning and employment. Our curriculum is designed to support and enable students to engage with, explore, enjoy and succeed in maths.

**Details about curriculum structure:**

Across all Key Stages, students will enhance their mathematical knowledge, building on prior learning from earlier years. KS3 builds upon each individual’s KS2 knowledge to ensure they are well prepared for the maths they are expected to undertake in KS4 and KS5. Students student 6 hours per fortnight of maths at KS3, rising to 7 hours per fortnight in Year 9 and 10, and 8 hours per fortnight in Year 11.

## Key Stage 3

### Year 7

The Year 7 curriculum is predominantly designed to build a solid fundamental knowledge of numbers and the number system. We will look at how various place value systems have been developed and how their multiplicative and additive structures work. We will develop a deeper understanding of the multiplicative nature of proportion and there will be an extensive focus upon developing pre-algebra skills.

Unit 1 – Place Value

Unit 2 – Addition and Subtraction

Unit 3 – Multiplication and Division

Unit 4 – Powers Roots and Prime

Unit 5 – Order of Operations

Unit 6 – Fractions

Unit 7 – Percentages

Unit 8 – Estimation

Unit 9 – Algebra

### Year 8

The Year 8 curriculum is designed to build upon previous learning and introduce the study of geometry and statistics. We will explore further the multiplicative nature of proportion and there will be a much greater emphasis on developing the students’ algebraic manipulation and substitution skills.

Unit 1 – Ratio

Unit 2 – Proportional Reasoning

Unit 3 – Polygons and Angles

Unit 4 – Formulae

Unit 5 – Area

Unit 6 – The Cartesian Grid

Unit 7 – Sequences

Unit 8 – Inequalities

Unit 9 – Congruence and Similarity

Unit 10 – Introduction to Data

Unit 11 – Bivariate data

### Year 9

The Year 9 curriculum will build upon knowledge and understanding gained in Year 7 and Year 8. The structure and use of the decimal place value system is explored in greater depth. Algebraic relationships, representations of these relationships and how they can be manipulated to solve problems will be explored in greater depth. The study of probability will be introduced and geometry and statistics will be studied further.

Unit 1 – Standard Form

Unit 2 – Introduction to Probability

Unit 3 – Triangles

Unit 4 – Circles

Unit 5 – Advanced Linear Equations

Unit 6 – Advanced Manipulating and Simplifying

Unit 7 – Quadratics 1

Unit 8 – Advance Data

## Key Stage 4

Our Year 10 and 11 students follow the AQA GCSE Mathematics course.

Our students will follow a Foundation or Higher pathway dependent upon which is the best pathway for them.

The students will be assessed on the following topics: Number; Algebra; Ratio and Proportion; Geometry and Measures; Probability and Statistics.

Throughout Year 10 and 11, students will build upon the skills and knowledge gained in KS3 and be taught explicitly how to answer more complicated exam style problems as well as essential calculator skills.

### Year 10

Probability

Measures and accuracy

Equations and inequalities

Circles and constructions

Ratio and proportion

Factors, powers and roots

Graphs

Working in 3D

Handling data

### Year 11

Working in 3D

Handling data

Calculations

Graphs 2

Pythagoras and trigonometry

Probability and combined events

Sequences

Units and proportionality

## Key Stage 5

Our students will have the opportunity to study mathematics at post 16. We offer three courses; ‘A’ Level Mathematics, ‘A’ Level Further Mathematics and Level 3 Certificate in Mathematical Studies, with all three courses building upon the knowledge and skills gained at Key Stage 4.

### Mathematical Studies (Core Maths)

Core Maths is an umbrella term for a specific type of level 3 maths qualification.

This qualification is equal in size to an AS level qualification and is intended for students who have passed GCSE Mathematics at grade 5 or better, but who do not study A level Mathematics. It is usually studied over a two-year period and can be taken alongside A levels or other qualifications, including vocational courses.

Studying Core Maths will help students develop their quantitative and problem-solving competencies. This gives them confidence in understanding the mathematical content in other courses they are taking. Our course focuses on using and applying maths, and includes ideas and skills that support maths in other courses, such as:

interpreting solutions in the context of the problem

understanding risk and probability

understanding sources of error and bias when problem-solving

working with data

using exponential functions to model growth and decay

understanding variation in statistics

percentage change

interpretation of graphs

financial maths

using standard units

correlation, knowing it does not imply causation

the Normal distribution

making and evaluating assumptions when modelling or problem solving

Fermi estimation

### Year 12

Units studied:

Introduction to spreadsheets

Types of and Collecting Data

Numerical calculations

Representing data numerically 1

Percentages

Fermi Estimation

Representing data diagrammatically 1

The equation of a straight line

Interest Rates

Collecting and sampling data

Solution to financial problems

Surface area and similarity

Perimeter, circumference and area

Similarity and Pythagoras’ theorem

Project Work – Analysis of data or personal finance

### Year 13

Units studied:

Presenting logical and reasoned arguments in context

Analysing critically

Communicating mathematical approaches and solutions

Properties of the normal distribution

Notation

Calculating probabilities

Population and sample

The mean of sample size n

Confidence intervals

Correlation

The product moment correlation coefficient (pmcc)

Regression lines

Calculations

### A Level Mathematics & A Level Further Mathematics

A level mathematics builds from the GCSE and introduces calculus and its applications. It emphasises how mathematical ideas are interconnected and how mathematics can be applied to model situations mathematically using algebra and other representations. The helps students make sense of data, understand the physical world, and solve problems in a variety of contexts, including social sciences and business. It prepares students for further study and employment in a wide range of disciplines involving the use of mathematics.

There are three overarching themes:

Mathematical argument, language and proof

Mathematical problem solving

Mathematical modelling

Our ‘A’ Level Mathematicians and Further Mathematicians will follow the Edexcel ‘A’ Level specification. Students following the ‘A’ level courses will complete Pure Mathematics, Mechanics and Statistics modules. In addition to these components the ‘A’ Level Further Mathematics students will complete two modules of Further Pure and two modules of applied further maths, to be chosen by course leaders, to best meet the needs of the class, from Decision, Statistics and Mechanics.

### A Level Year 12

Units studied:

Algebra and Functions

Coordinate Geometry in the (x,y) Plane

Trigonometry

Quantities and Units in Mechanics

Exponentials and Logarithms

Vectors

Kinematics 1 (constant acceleration)

Forces and Newton’s Laws

Moments

Kinematics 2 (variable acceleration)

Forces at any Angle

Further Algebra

Applications of Kinematics

Algebra and Functions

Differentiation

Data Presentation and Interpretation

Integration

Statistical Sampling

Statistical Distributions

Statistical Hypothesis Testing

Probability

Regression and Correlation

### A Level Further Mathematics Year 12

Units studied:

Complex Numbers

Series

Algebra and Functions

Matrices

Proof

Vectors

Calculus

### A Level Mathematics Year 13

Units studied:

Applications of Forces

Further Kinematics

Functions and Modelling

Trigonometry

Parametric Equations

Numerical Methods

Vectors (3D)

The Normal Distribution

Proof

Algebraic and Partial Fractions

Sequences and Series

The Binomial Theorem

Differentiation

Integration Parts 1 & 2

### A Level Further Mathematics Year 13

Units studied:

Momentum and impulse

Work, energy and power

Elastic strings and springs

Elastic collisions in one dimension

Elastic collisions in two dimensions

Complex numbers

Series

Methods in calculus

Volumes of revolution

Polar coordinates

Hyperbolic functions

Methods in differential equations

Modelling with differential equations

## Qualifications which we offer at KS4 and KS5

### Key Stage 4:

GCSE Mathematics (AQA): All Students

https://www.aqa.org.uk/subjects/mathematics/gcse/mathematics-8300

### Key Stage 5:

Mathematical Studies (Core Maths)

https://www.aqa.org.uk/subjects/mathematics/aqa-certificate/mathematical-studies-1350

A Level Mathematics

https://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html

A Level Further Mathematics

## Enrichment and extra-curricular opportunities in the subject

The Maths faculty provides a Lateral Thinking club where students tackle mind bending mathematical problems, doing so collaboratively. This club is primarily driven by the students themselves and has a range of ages participating from KS3 to Post 16

## Where could this subject ultimately take you?

Maths is in very aspect of everyday life. The discipline of mathematics will support you whether you are out shopping in the supermarket, to building houses, calculating your own finances to lecturing in top universities, maths is everywhere! It is excellent preparation for study in higher education across a range of disciplines. It also supports progression into almost all careers, including: computing, accountancy and finance, medicine, scientific research, management and consultancy.

## Links to other sites which support study in our subject

## Contact details to find out more about our curriculum

Leader of Mathematics: Mr S.Bisson s.bisson@tmhs.co.uk

Programme Leader Key Stage 5: Mr S.Parkes s.parkes@tmhs.co.uk

Programme Leader: Miss E.Rogers e.rogers@tmhs.co.uk