Mathematics

The Mathematics Department at St Thomas More aims to promote the appreciation and enjoyment of mathematics for all students. Staff are enthusiastic about their subject and aim to show, where possible, the applications of mathematics in everyday life.

The staff in the mathematics department support all students regardless of their ability in the subject. We recognise that to some, mathematics does not come easily, and additional support is available for those who find the subject difficult. Throughout the five years at St Thomas More, students study a wide variety of mathematical topics ranging from Number to Statistics and learn how the different topics in mathematics link to each other.

In Years 7 and 8, there are three pathways that students follow (Boost, Challenge and Extend) and in Years 9-11 there are two pathways (Higher and Foundation)

Key Stage 3

The aim at key stage 3 is to build on and reinforce the skills learnt in Key Stage 2. Students study a broad range of topics. Our Key stage 3 curriculum places a high importance on building confidence in reasoning and problem solving.

Students study one of three pathways as summarised below:

Year 7

Boost

Challenge

Extend

Calculating

Number skills

Number skills

Factors and multiples

Fractions, Decimals and %'s

Fractions

Fractions, Decimals and %'s

Decimals and Measures

Decimals

Decimals and Measures

Fractions

Perimeter, Area and Volume

Measuring and Shapes

Transformations

Transformations

Transformations

Lines and Angles

Angles and Shapes

Angles and lines

Ratio and proportion

Multiplicative Reasoning

Ratio and Proportion

Probability

Probability

Probability

Analysing and Displaying Data

Analysing and Displaying Data

Analysing and displaying data

Expressions, functions and formulae

Equations, Functions and Formulae

Expressions functions and formulae

Equations

Equations

Sequences and Graphs

Sequences and Graphs

Sequences and Graphs

Year 8

Boost

Challenge

Extend

Number properties and calculations

Number

Factors and powers

Decimal calculations

Factors and Powers

Calculating with Fractions

Number properties

Decimals and ratio

Percentages, Decimals and Fractions

Fractions and percentages

Percentages, Decimals and Fractions

Fractions, Decimals and %'s

Transformations

Calculating with fractions

Transformations

Shapes and measures in 3d

Transformations

2D shapes and 3D solids

Angles

Area and Volume

Lines and Angles

Statistics

Lines and Angles

Scale drawing and measures

 

 

Averages

Probability

Statistics, graphs and charts

Probability

Expressions and Equations

Probability

Real life graph

Sequences

Real-life graphs

Constructions and Loci

Polygons and Transformations

Expressions and Equations

Working with powers

Probability

Straight line graphs

Graphs

Constructions

Sequences

Non-linear Graphs

Statistics

Circles, Pythagoras and Prisms

Trigonometry

Geometry in 2d and 3d

Multiplicative Reasoning

Graphical Solutions

Algebraic and geometric formulae

Constructions

Inequalities, equations and formulae

 

Dealing with Data

Multiplicative reasoning

 

Independent Study

Students receive 45 minutes of homework each week, with an emphasis on repetition of basic skills each fortnight, and a mixed homework on what they have been covering in lessons in the alternate fortnight. Support is always on hand if students are struggling. Students are encouraged to use Hegarty Maths to revise concepts and complete quizzes to test their understanding.

Key Stage 4

The GCSE course starts in Year 9 and students will follow the Edexcel GCSE mathematics course which consists of two tiers. The Foundation tier offers grades 1-5 and the Higher tier grades 4-9.  It is possible to obtain a grade 3 on the Higher tier but this is only given in exceptional circumstances.

A grade 4 is referred to as a “standard pass” where students are not required to continue studying Maths post 16. The government has referred to a Grade 5 as a “Strong Pass” which will open more doors to students in the future.

The syllabus follows five branches of mathematics which are given in the table below with their weightings.

 

Foundation Tier

Higher Tier

Number

25%

15%

Algebra

20%

30%

Ratio, proportion and rates of change

25%

20%

Geometry and measures

15%

20%

Probability

15%

15%

 

In Foundation students cover the following content through years 9-10:

 

In Foundation students cover the following content through years 9-10:

Title

Integers and place value

Decimals

Indices, powers and roots

Factors, multiples and primes

Algebra: the basics

Expressions and substitution into formulae

Tables, charts and graphs

Pie charts

Scatter graphs

Fractions, decimals and percentages

Percentages

Equations and inequalities

Sequences

Properties of shapes, parallel lines and angle facts

Interior and exterior angles of polygons

Statistics, sampling and the averages

Perimeter, area and volume

Real-life graphs

Straight-line graphs

Transformations

Ratio

Proportion

Right-angled triangles: Pythagoras and trigonometry

Probability

Multiplicative reasoning

Plans and elevations

Constructions, loci and bearings

Quadratic equations: expanding and factorising

Quadratic equations: graphs

Circles, cylinders, cones and spheres

Fractions and reciprocals

Indices and standard form

Similarity and congruence in 2D

Vectors

Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations

 

In Higher students cover the following content in years 9-10: 

 

Title

Calculations, checking and rounding

Indices, roots, reciprocals and hierarchy of operations

Factors, multiples, primes, standard form and surds

Algebra: the basics, setting up, rearranging and solving equations

Sequences

Averages and range

Representing and interpreting data and scatter graphs

Fractions and percentages

Ratio and proportion

Polygons, angles and parallel lines

Pythagoras’ Theorem and trigonometry

Graphs: the basics and real-life graphs

Linear graphs and coordinate geometry

Quadratic, cubic and other graphs

Perimeter, area and circles

3D forms and volume, cylinders, cones and spheres

Accuracy and bounds

Transformations

Constructions, loci and bearings

Solving quadratic and simultaneous equations

Inequalities

Probability

Multiplicative reasoning

Similarity and congruence in 2D and 3D

Graphs of trigonometric functions

Further trigonometry

Collecting data

Cumulative frequency, box plots and histograms

Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics

Circle theorems

Circle geometry

Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof

Vectors and geometric proof

Reciprocal and exponential graphs; Gradient and area under graphs

Direct and inverse proportion

 

Year 11

Teachers complete a Question Level Analysis grid and teach by diagnosing topics that have caused problems in the mock exam. This tailors teaching to the needs of the students and ensures students are learning content appropriate to their ability.

Independent Study

Students receive one hour of independent study each week, with homework being mixed and focusing on a range of topics that students have covered in the academic year. Support is always on hand if students are struggling. Students are encouraged to use Hegarty Maths to revise concepts and complete quizzes to test their understanding.

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Useful mathematics websites