﻿ Mathematics - Subject Information - Dover Grammar School for Girls

# Subject Information

## Mathematics

"The more time I spent on Maths, the more excited I got"

Dr. Maryam Mirzakhani - the first woman to win Mathematics' highest honour; the Fields Medal in 2014.

Mathematics develops students’ abilities to calculate; to reason logically, algebraically, and geometrically; to solve problems and to handle data.

Staff

Mrs A Simpson (2nd in Dept. KS5 Lead)

Mr G Chapman
Miss B Porter
Mrs H Welch

Mathematics Department

Vision

Mathematics is the means of looking at the patterns that make up our world and the intricate ways in which they are constructed and realised. Our aim is to encourage students to engage in Mathematics as a rewarding activity in its own right whilst developing every student’s mathematical competency to the highest level.

Mathematics contributes to the school curriculum by developing students’ abilities to calculate; to reason logically, algebraically, and geometrically; to solve problems and to handle data.

The curriculum followed can be split into 5 key sections; number, algebra, ratio and proportion, shape and space, and data handling.

Intent

Key Stage 3: For Years 7 and 8 our aim is to build strong foundations through mastery of key knowledge and skills. Students follow a scheme of learning based on the Edexcel Delta series which aims to challenge students to think rigorously and promote independent thought and problem solving.

In Year 7, students are taught numerical skills, such as manipulating fractions, decimals and percentages. They are introduced to algebraic manipulation as a way of generalising ideas and will go onto solve equations and explore sequences. Their proportional reasoning will be developed to explore links between ratio, fractions, percentages and decimals, and will engage with a variety of problem solving linked within. Within shape and space, students will learn about angles within shapes and structures as well as exploring area, perimeter and volume. They will be introduced to Pythagoras’ Theorem. Students will learn the fundamentals of data analysis, such as calculating and interpreting averages and displaying data diagrammatically.

In Year 8, students elaborate on factors and powers of numbers, and more complex calculations using calculator methods for percentages. They will deepen their algebraic knowledge to include expanding brackets and factorising more complex expressions, and will begin to construct simple straight line graphs as well as considering real life graphs. In shape and space, students will further explore 3D shapes and their properties, transformation of shapes and learn key construction techniques for accurate drawings. They will first encounter Trigonometry to deepen their knowledge of and problems solving skills with triangles. Probability will first be introduced to students where they will consider the probability of events occurring using factions, decimals and percentages.

Key Stage 4: In Years 9, 10 and 11, students follow the Edexcel course for GCSE and will sit one non-calculator paper and two calculator papers at the end of Year 11. Topics introduced in Key Stage 3 are further developed and new ideas and concepts are introduced. Students will first encounter complex calculations with surds. Their algebraic understanding will broaden to include solving simultaneous equations including quadratic functions, transformation of functions using function notation, expanding 3 brackets, equation of a circle, changing the subject of a formula, algebraic fractions, proof and a variety of other graphs. In shape and space, students will encounter vectors and geometric proof, circle theorems and 3D shapes including cones and spheres. Students’ statistical skills will be developed to construct and interpret various graphs including histograms and cumulative frequency graphs.

There is also the opportunity for some students to study the Level 2 Qualification in Further Mathematics. This extends the GCSE to cover more challenging algebra, and also to include new topics such as matrices and the introduction of differentiation.

Key Stage 5: At A Level, students also follow the Edexcel course. Currently all of our A Level mathematicians study the 2 year A Level, which covers Pure, Statistics and Mechanics. Students studying Further Mathematics cover Core, Mechanics and Decision. The majority of the lesson time is spent working together and developing new topics and methods. Students participate in discussion and develop their ability to think independently and solve a wide variety of problems.

Pure develops many Grade 7-9 topics from GCSE such as: trigonometry, functions, transformations, quadratics, simultaneous equations, lines, circles, 3D geometry, proof and vectors. Pure maths will introduce new concepts such as differentiation, integration, logarithms and parametric equations.

Mechanics is the modelling of the world around us and the motion of objects. Here students learn to break down a problem and take a strategic approach to reach a solution. They are also able to reflect on the accuracy of their answer and suggest improvements that would make their result more reliable.

Statistics is the study of data to reach meaningful conclusions. At A level more advanced skills and techniques will be developed and students will become familiar with a national database. The new calculators are able to perform more advanced calculations allowing time for interpretation and understanding.

Core maths introduces students to concepts such as matrices, imaginary numbers, hyperbolic functions, polar coordinates and differential equations. Core maths will stretch and challenge the most able students to prepare them for a future involving maths or related pathways.

A Level Further Mathematics extends the A Level Mathematics Mechanics content to include the topics of elasticity, work, power, momentum and collisions.

Decision uses a variety of techniques and algorithms to study real world problems. Managers of large projects will use decision processes to plan efficiently. Computer systems are based on algorithms and an understanding of Decision maths is advantageous for those interested in computer science.