# Mathematics

Mr S Robinson (Head of Team) | srobinson@conyers.org.uk | Mr J Downs | jdowns@conyers.org.uk |

Mr K Anderson | kanderson@conyers.org.uk | Mrs K Gray | kgray@conyers.org.uk |

Miss L Allanson | lallanson@conyers.org.uk | Mr M Black | mblack@conyers.org.uk |

Mr P Dixon | pdixon@conyers.org.uk | Mr A Pach | apach@conyers.org.uk |

Mr M Taylor | mtaylor@conyers.org.uk | Mx A Taylor | ataylor@conyers.org.uk |

Mrs J White | jwhite@conyers.org.uk |

## Key Stage 5 Curriculum Map

**Curriculum Intent**

To engage students and extend their curiosity for Mathematics by extending their range of mathematical skills and techniques and to use their knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts; communicating the rationale for these decisions clearly.

**Key Knowledge and Skills **

Construct and present mathematical arguments through appropriate use of diagrams using the correct mathematical language and definitions

Improve their problem solving techniques: specifying the problem, identifying the underlying mathematics within the problem, collecting information, processing and representing information and interpreting results

Understand the use of modelling and create a suitable model while understanding assumptions, its limitations and the context of the situation

Improve data analysis skills using real data collected and collated within the large data set. Understanding problems, limitations, terminology and drawing conclusions

**Sequence Discussion**

Students require a sound understanding and skill base from GCSE. Year 12 extends their knowledge in using algebra, trigonometry, data presentation/interpretation and improvement of problem solving skills. By the end of Year 12, students must be able to deal with algebra confidently and effectively, be competent at differentiation, integration, binomial expansion, coordinate geometry, using trigonometric identities, solving trigonometric equations, using Kinematics and dealing with forces, using models, data presentation and analysis and hypothesis testing. All of these are extended in Year 13 while also considering modelling assumptions and limitations. All Year 13 topics depend upon a secure understanding of Year 12 and therefore, a large emphasis is placed on practising and revisiting sills in the form of mini tests, starter questions and weekly skills based homeworks throughout both years.

### Year 12

#### Half Term 1

Algebra and Functions

Coordinate Geometry

Further Algebra

#### Half Term 2

Further Algebra

Trigonometry

Statistical Sampling

Data presentation and interpretation

Quantities and units in mechanics

Kinematics

#### Half Term 3

Trigonometry

Differentiation

Correlation and regression

Introduction to and using the Large Data Set

Probability

Forces and Newton’s Laws

#### Half Term 4

Vectors in 2D

Integration

Statistical Distributions

Kinematics

#### Half Term 5

Exponentials and logarithms

Proof

Hypothesis Testing

Kinematics

#### Half Term 6

Algebraic and Partial Fractions

Binomial Theorem

Data Set

### Year 13

#### Half Term 1

Functions and Modelling

Sequences and Series

Regression and Correlation

Data Set

Moments

Forces and Friction

#### Half Term 2

Trigonometry

Parametric Functions

Probability

Projectiles

Trig in Mechanics

Parametric in Mechanics

#### Half Term 3

Differentiation

Numerical Methods

Normal Distribution

Application of Forces

#### Half Term 4

Integration

Vectors

Normal Distribution

Application of Forces