# Maths

## Maths

## Key Stage 3 - Mathematics

Aims

The national curriculum for Mathematics aims to ensure that all pupils:

- Become fluent in the fundamentals of Mathematics, including with varied and frequent pracitice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
- reason mathematically by following a line of enquiry, conjecturing relationships and generalisation, and developing an argument, justification or proof using mathematical language
- can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

Students in KS3 will study a broad curriculum that will cover the core themes of Mathematics:

• Number

• Algebra

• Statistics and probability

• Ratio and proportion

• Geometry and measures

Students are taught in sets and each class teacher will develop appropriate resources according to prior attainment from KS2 and current areas of development. Students are assessed on a regular basis by their class teacher and this data will also inform subsequent lessons and homework. Students will have the opportunity to improve their areas of development after each assessment cycle.

Key stage 3 students will be assessed at regular intervals to ensure progress is being made. These assessments will be used to make judgments on which group students should be taught in and inform Data Collections which will show students’ progress through the year.

The KS3 curriculum allows students to enhance what they learnt at KS2 and prepare them for taking GCSE Mathematics in KS4. There have been some recent changes to the KS3 Mathematics curriculum, notably these are:

From KS2 to KS3 – Prime numbers, Factors and multiples and Place value.

From KS4 to KS3 – Surds, Standard form, Exponential graphs and Linear functions.

The course content aims to ensure that all pupils experience mathematics as a meaningful, stimulating and worthwhile activity. Pupils will experience practical mathematics applied to their own lives and the lives of other people.

By following the Mathematics GCSE students will develop enterprise skills such as:

• Problem solving

• Financial capability

• A 'can do' attitude

## Key Stage 4 - Mathematics GCSE

The mathematics course is intended to provide opportunities for our pupils to:-

• consolidate basic skills and meet appropriately challenging work;

• apply mathematical knowledge and understanding to solve problems;

• think and communicate mathematically, precisely, logically and creatively;

• appreciate the place and use of mathematics in society and apply mathematical concepts to situations arising in their own lives;

• work co-operatively, independently, practically and investigatively.

The GCSE course begins for pupils in Year 9 and continues until Year 11. Pupils will either study the Higher (Grades A*-D) or Foundation (Grades C to G) course with opportunities to change between the 2 during the course depending on performance. Mock exams take place at the end of Years 9 and 10 and regularly through Year 11 to allow teachers to assess any areas in which students may require additional focus. Additional revision sessions will be held during the year which all Year 11 students are welcome to attend.

Students sitting the GCSE in 2016 will remain on the old GCSE syllabus and will be given letter grades from A*-G. Students sitting the exam from 2017 onwards will receive a number level from 1-9 with the approximate grade to level comparison shown below.

Grade | Level |

9 | |

A* | 8 |

A | 7 |

B | 6 |

5 | |

C | 4 |

D | 3 |

E | 2 |

F | 1 |

G |

Students will study a range of topics during the course as found below.

### Foundation

1

a) Integers and place value

b) Decimals

c) Indices, powers and roots

d) Factors, multiples and primes

2

a) Algebra: the basics

b) Expanding and factorising single brackets

c) Expressions and substitution into formulae

3

a) Tables

b) Charts and graphs

c) Pie charts

d) Scatter graphs

4

a) Fractions

b) Fractions, decimals and percentages

c) Percentages

5

a) Equations

b) Inequalities

c) Sequences

6

a) Properties of shapes, parallel lines and angle facts

b) Interior and exterior angles of polygons

7

a) Statistics and sampling

b) The averages

8

a) Perimeter and area

b) 3D forms and volume

9

a) Real-life graphs

b Straight-line graphs

10

a) Transformations I: translations, rotations and reflections

b) Transformations II: enlargements and combinations

11

a) Ratio

b) Proportion

12

Right-angled triangles: Pythagoras and trigonometry

13

a) Probability I

b) Probability II

14

Multiplicative reasoning

15

a) Plans and elevations

b) Constructions, loci and bearings

16

a)Quadratic equations: expanding and factorising

b)Quadratic equations: graphs

17

Circles, cylinders, cones and spheres

18

a)Fractions and reciprocals

b)Indices and standard form

19

a)Similarity and congruence in 2D

b)Vectors

20

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

### Higher

1

a)Calculations, checking and rounding

b)Indices, roots, reciprocals and hierarchy of operations

c)Factors, multiples and primes

d)Standard form and surds

2

a)Algebra: the basics

b)Setting up, rearranging and solving equations

c)Sequences

3

a)Averages and range

b)Representing and interpreting data

c)Scatter graphs

4

a)Fractions

b)Percentages

c)Ratio and proportion

5

a) Polygons, angles and parallel lines

b) Pythagoras’ Theorem and trigonometry

6

a) Graphs: the basics and real-life graphs

b) Linear graphs and coordinate geometry

c) Quadratic, cubic and other graphs

7

a)Perimeter, area and circles

b)3D forms and volume, cylinders, cones and spheres

c)Accuracy and bounds

8

a)Transformations

b)Constructions, loci and bearings

9

a)Solving quadratic and simultaneous equations

b)Inequalities

10

Probability

11

Multiplicative reasoning

12

Similarity and congruence in 2D and 3D

13

a)Graphs of trigonometric functions

b) Further trigonometry

14

a)Collecting data

b)Cumulative frequency, box plots and histograms

15

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

16

a) Circle theorems

b) Circle geometry

17

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

18

Vectors and geometric proof

19

a)Reciprocal and exponential graphs; Gradient and area under graphs

b)Direct and inverse proportion