﻿ Mathematics - Bartholomew School

# Mathematics

Students are set in ability groups from Year 7, and this setting is monitored regularly to ensure that the students are correctly set at all times. Whatever grouping the students are in, the key feature of the way mathematics is taught is that the whole class and year group work together on a common theme. In class, as well as learning mathematical knowledge, the students are encouraged to develop their problem solving, communication, visualisation and logical thinking skills. The students will also look at the application of mathematics to everyday life.

ICT plays an important role within the department, with each mathematics classroom enjoying the use of interactive whiteboards.  Most homework at Key Stage 3 and 4 is set online, although there is always an option for students to work offline if they so wish.

There is a weekly ‘clinic’ for all Key Stages. These clinics operate at lunchtime for KS3 and after school for the other Key Stages. Teachers in the department are often also available during break and lunch times to assist if students are struggling with any aspect of their mathematics work.

Each year students are encouraged to take part in the UK Mathematics Challenge as well as Team Mathematics competitions against other local schools.  In the past students have had great success in these events and some of our students have even progressed to the European level of the competition.

### Main Topics Covered

 Year 7 Coordinates, sequences and introduction to solving equations Ordering numbers, the four operations, and the order of operations Geometry vocabulary and notation, angles, and transformations Fractions, percentages and ratio Data collection and presentation, including mean, mode and median Functions, inverse operations, the rules of algebra and substitution Accuracy, estimating answers, identifying and using prime numbers Using mathematical equipment, area of a trapezium and volume The four operations using fractions and problems using percentages Sieve of Eratosthenes, factors, multiples and the order of operations Working with fractions, ratio and the four operations using decimals Area and perimeter of different shapes, including skew squares Data presentation, including calculating the averages from tabulated data Working with directed numbers and introduction to curvy graphs Reflection, rotation, translation, enlargement, nets and tessellation Manipulating algebraic expressions and solving harder equations Loci, scale drawings, constructions, plans and elevations Angle properties, introduction to Pythagoras’ Theorem and trigonometry Recap of all number skills covered in Year 7 and Year 8 Graphs of quadratic equations and advanced algebraic simplification Congruent and similar shapes, perimeter and area of circles Data collection techniques and experimental and theoretical probability Proportion, powers, value for money, fractions and percentages Transformations, constructing triangles and accurate nets Working with fractions, prime factor decomposition leading to HCF/LCM Further manipulation of algebraic expressions and solving equations

At Key Stage 4, students follow a linear GCSE course working towards either the higher or foundation tier. Those sitting the higher tier can achieve grades 9 to 4, whilst those sitting the foundation tier can achieve grades 5 to 1.

The GSCE course content is split into modules which spiral up through the grades over the two years.   The exact topics and order in which modules are covered will depend on the tier a student is working towards.

### GCSE Higher Tier

 Year 10 Algebra 1 - Simplifying, substitution and graphs Number 1 - Fractions, decimals, percentages and indices Geometry 1 - Transformations, area, angles, circles, construction and Pythagoras' Theorem Algebra 2 - Algebraic manipulation, solving equations and inequalities Probability 1 - Averages, charts, sampling, probability of independent events Ratio 1 - Ratio, percentage change, direct and inverse proportion Algebra 3 - Factorising, quadratics and simultaneous equations Geometry 2 - Congruence, trigonometry and volumes of 3D shapes Probability 2 - Probability of dependent events, cumulative frequency and histograms Algebra 4 - Iteration and the quadratic formula Geometry 3 - Circle theorems and similar shapes Number 2 - Indices, surds and bounds Algebra 5 - Proof, graphing functions and regions Geometry 4 - Sine and cosine rules, vectors Algebra 6 - Functions, quadratic sequences and algebraic fractions

### GCSE Foundation Tier

 Year 10 Algebra 1 - Simplifying, substitution and graphs Number 1 - Place value, decimals and negatives Geometry 1 - Polygons, angles and area Probability 1 - Averages, charts and simple probability Number 2 - Decimals and fractions Ratio 1 - Ratio and simple proportion Geometry 2 - Circles, construction and Pythagoras' Theorem Algebra 2 - Algebraic manipulation, solving equations and inequalities Number 3 - Fractions, decimals, percentages and indices Algebra 3 - Factorising, quadratics and simultaneous equations Ratio 2 - Percentage change and similar shapes Probability 2 - Sampling, independent and dependent events Geometry 3 - Trigonometry and volumes of 3D shapes

All students have the opportunity to choose GCSE Statistics as one of their GCSE options in Year 10 and 11.  The course introduces students to the statistical enquiry cycle and develops their understanding of how statistics is used outside of the classroom.  The course is linear, with students working towards either the higher or foundation tier.

### GCSE Statistics

 Years 10 and 11 The collection of data - from populations to samples Processing, representing and analysing data Probability, including an introduction to probability distributions

### Key Stage 5

At KS5 students can continue their Mathematics education via several different routes:

• A level Mathematics
• A level Further Mathematics
• Level 3 Core Maths: Mathematics in Context
• GCSE resuit
 A Level Pure Maths Proof Algebra and functions Coordinate geometry in the (x, y) plane Sequences and series Trigonometry Exponentials and logarithms Differentiation Integration Numerical methods Vectors Statistics Statistical sampling Data presentation and interpretation Probability Statistical distributions Statistical hypothesis testing Mechanics Quantities and units in mechanics Kinematics Forces and Newton’s laws Moments Complex numbers Further algebra and functions Further calculus Further vectors Polar coordinates Hyperbolic functions Differential equations Further trigonometry Further calculus Further differential equations Coordinates systems Further vectors Further numerical methods Momentum and impulse Work, energy and power Elastic strings and springs and elastic energy Elastic collisions in one dimension Elastic collisions in two dimensions Core Maths has been designed to maintain and develop real-life maths skills. The topics covered are not purely theoretical or abstract; they can be applied on a day-to-day basis in work, study or life.  It will also help with other A-level subjects – in particular with science, geography, business studies, psychology and economics. Topics covered: Applications of statistics Probability Linear programming Sequences and growth

### Exam Specifications

#### GCSE Mathematics

http://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015.html

#### GCSE Statistics

http://qualifications.pearson.com/en/qualifications/edexcel-gcses/statistics-2017.html

#### A level Mathematics and Further Mathematics

http://qualifications.pearson.com/en/qualifications/edexcel-a-levels/mathematics-2017.html

#### Level 3 Core Maths: Maths in Context

http://qualifications.pearson.com/en/qualifications/edexcel-mathematics-in-context/mathematics-in-context.html