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 (Pi – Support, Theta – Core and Delta – Extension) 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

Year 8

Highest Attaining students: Delta 1

Highest Attaining Students: Delta 2

Term 1

Unit 1 – Analysing and Displaying Data

Unit 1 – Factors and Powers

Unit 2 – Number Skills

Unit 2 – Working with powers

Unit 3 – Equations, Functions and formulae

Unit 3 – 2D shapes and 3D solids

Unit 4 – Fractions

Unit 4 – Real-life graphs

Term 2

Unit 5 – Angles and shapes

Unit 5 – Transformations

Unit 6 – Decimals

Unit 6 – Fractions, decimals and percentages

Unit 7 – Equations

Unit 7 – Constructions and loci

Term 3

Unit 8 – Multiplicative Reasoning

Unit 8 – Probability

Unit 9 – Perimeter, Area and Volume

Unit 9 – Scale drawings and measurements

Unit 10 – Sequences and Graphs

Unit 10 - Graphs

 

 

Year 7

Year 8

Middle Attaining students: Theta 1

Middle Attaining Students: Theta 2

Term 1

Unit 1 – Analysing and Displaying Data

Unit 1 – Number

Unit 2 – Number Skills

Unit 2 – Area and Volume

Unit 3 – Expressions, Functions and formulae

Unit 3 – Statistics, graphs and charts

Unit 4 – Decimals and measures

Unit 4 – Expressions and equations

Term 2

Unit 5 – Fractions

Unit 5 – Real-life Graphs

Unit 6 – Probability

Unit 6 – Decimals and ratio

Unit 7 – Ratio and Proportion

Unit 7 – Lines and Angles

Term 3

Unit 8 – Lines and Angles

Unit 8 – Calculating with fractions

Unit 9 – Sequences and Graphs

Unit 9 – Straight Line graphs

Unit 10 – Transformations

Unit 10 – Percentages, decimals and fractions

 

 

Year 7

Year 8

Lowest Attaining students: Pi 1

Lowest Attaining Students: Pi 2

Term 1

Unit 1 – Analysing and Displaying Data

Unit 1 – Number properties and calculations

Unit 2 – Calculating

Unit 2 – Shapes and measures in 3D

Unit 3 – Expressions, Functions and formulae

Unit 3 – Statistics

Unit 4 – Graphs

Unit 4 – Expressions and equations

Term 2

Unit 5 – Factors and multiples

Unit 5 – Decimals calculations

Unit 6 – Decimals and measures

Unit 6 – Angles

Unit 7 – Angles and Lines

Unit 7 – Number properties

Term 3

Unit 8 – Measuring and shapes

Unit 8 – Sequences

Unit 9 – Fractions, decimals and percentages

Unit 9 – Fractions and percentages

Unit 10 – Transformations

Unit 10 – Probability

 

Independent Study

Students receive between 30 and 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.

The new numerical grades are approximately related to the old letter grades as shown below. 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.

Image result for 1-9 grading system

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:

Unit

Title

Estimated hours

1

a

Integers and place value

4

b

Decimals

3

c

Indices, powers and roots

5

d

Factors, multiples and primes

4

2

a

Algebra: the basics

6

b

Expressions and substitution into formulae

5

3

a

Tables, charts and graphs

11

b

Pie charts

3

c

Scatter graphs

4

4

a

Fractions, decimals and percentages

7

b

Percentages

6

5

a

Equations and inequalities

9

b

Sequences

5

6

a

Properties of shapes, parallel lines and angle facts

7

b

Interior and exterior angles of polygons

4

7

 

Statistics, sampling and the averages

7

8

 

Perimeter, area and volume

10

9

a

Real-life graphs

8

b

Straight-line graphs

6

10

 

Transformations

11

11

a

Ratio

4

b

Proportion

5

12

 

Right-angled triangles: Pythagoras and trigonometry

5

13

 

Probability

12

14

 

Multiplicative reasoning

7

15

a

Plans and elevations

5

b

Constructions, loci and bearings

7

16

a

Quadratic equations: expanding and factorising

5

b

Quadratic equations: graphs

4

17

 

Circles, cylinders, cones and spheres

6

18

a

Fractions and reciprocals

5

b

Indices and standard form

5

19

a

Similarity and congruence in 2D

7

b

Vectors

7

20

 

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

5

 

 

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

 

Unit

Title

Estimated hours

1

a

Calculations, checking and rounding

4

b

Indices, roots, reciprocals and hierarchy of operations

4

c

Factors, multiples, primes, standard form and surds

7

2

a

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

10

b

Sequences

4

3

a

Averages and range

4

b

Representing and interpreting data and scatter graphs

5

4

a

Fractions and percentages

12

b

Ratio and proportion

6

5

a

Polygons, angles and parallel lines

6

b

Pythagoras’ Theorem and trigonometry

6

6

a

Graphs: the basics and real-life graphs

6

b

Linear graphs and coordinate geometry

8

c

Quadratic, cubic and other graphs

6

7

a

Perimeter, area and circles

5

b

3D forms and volume, cylinders, cones and spheres

7

c

Accuracy and bounds

5

8

a

Transformations

6

b

Constructions, loci and bearings

7

9

a

Solving quadratic and simultaneous equations

7

b

Inequalities

6

10

 

Probability

8

11

 

Multiplicative reasoning

8

12

 

Similarity and congruence in 2D and 3D

6

13

a

Graphs of trigonometric functions

6

b

Further trigonometry

9

14

a

Collecting data

4

b

Cumulative frequency, box plots and histograms

6

15

 

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

7

16

a

Circle theorems

5

b

Circle geometry

5

17

 

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

7

18

 

Vectors and geometric proof

9

19

a

Reciprocal and exponential graphs; Gradient and area under graphs

7

b

Direct and inverse proportion

7

 

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