Mathematics

Mfl

Mathematics equips students with uniquely powerful ways to describe, analyse and solve problems. The language of mathematics is international, and its importance is universally recognised. At Bartholomew School we want to help students build and develop their mathematical thinking skills. We want to prepare our students thoroughly for GCSE examinations and beyond, allowing them to have choices in the future.

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.  

Each year, students will be taught modules of work that last about five weeks. We have written our resources and assessments, to ensure we meet the needs of our students, as well as challenge them.

All students are taught each of these modules, regardless of the set they are in. At the end of each module, there is a test. All students sit the same test. The results of these tests are monitored and if appropriate, students may move into a different set.  We use the results of the Key Stage 2 National Curriculum Assessments to set the students initially. Any students who do not have results from these tests will be set appropriately and monitored closely, before a final setting decision is made.

Students will be set online homework using the MathsWatch Virtual Learning Environment. Tasks will be set on a weekly basis, with progress monitored by your child’s class teacher. See https://www.mathswatch.co.uk/ for more information. Each student will be given their own unique login to the website.

We offer a Maths Clinic after school on Thursdays until 4pm. We have a computer room available, which is staffed by at least one of our mathematics teachers. We also offer after-school clinics for our Key Stage 5 students on a Tuesday in T7.

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.

Further resources:

Key Stage 3 Extension Reading Journey (Maths)

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

YEAR 8 
  • 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

YEAR 9
  • 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

YEAR 11      
  • 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

YEAR 11
  • 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 & 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 Key Stage 5 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 resit

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

FURTHER MATHS: 

TAKEN   ALONGSIDE    A LEVEL MATHEMATICS
  • 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

LEVEL 3 CORE MATHS: MATHEMATICS IN CONTEXT

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

Examination Board and Specifications

GCSE

  • Mathematics: Pearson/Edexcel (course code 1MA1 F/H; search 'Edexcel GCSE Maths')

  • Statistics: Pearson/Edexcel  (course code 1ST0 F/H; search 'Edexcel GCSE Statistics')

A LEVEL 

  • Mathematics: Pearson/Edexcel  (course code 9MA0; search 'Edexcel A Level Maths')
  • Further Maths: Pearson/Edexcel  (course code 8FM0/H or 9FM0/H0; search 'Edexcel Further Maths')

LEVEL 3 Core Maths

  • Maths in Context: Pearson/Edexcel  (course code 7MC0; search 'Edexcel Maths in Context')
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