Mathematics
Mathematics Teachers
- Mrs H Mennis (Subject Leader)
- Mr V Bardsley
- Mrs N Cloudsdale
- Mrs R Costello
- Mr J Gallagher
- Mr C MacGreevy
- Mr N Mander
- Mr A Marashi
- Mr J Mundy
- Mr I Olekh
- Mr C Smith
- Mrs A Southall
- Miss M Taylor
A vision for Mathematics
Students at Richard Challoner study Maths because it enables them to succeed by developing tools that build confidence, self-esteem and resilience. Our maths teachers...
- inspire students to make sense of the world around them
- teach students to approach problems logically and systematically
- encourage students to embrace and learn from their mistakes
- support students to acquire knowledge and to develop fundamental skills that will be both relevant across their school studies and empowering throughout their lives.
Key Stage 3
KS3 Coordinator: Mr Bardsley
We follow a mastery curriculum using Discovering Maths (Oxford University Press).
Skills introduced to students in Key Stages 1 and 2 are reinforced and developed throughout Key Stage 3 through many topics.
Problem-solving is embedded once the key skills are learnt.
Big Idea: Number and Ratio
- Calculation with positive and negative integers, fractions and decimals.
- More complex calculations such as finding fractions and percentages of amounts.
- Both standard and problem-solving questions on ratio and proportion.
- General number skills such as rounding, estimation and the order of operations (BIDMAS).
- Working with indices and standard form.
Big Idea: Algebra
- An introduction to Algebra, including skills such as using letters to represent numbers, collecting like terms and the substitution of numbers for letters.
- Students are taught to form and solve linear equations.
- How to expand and factorise linear and quadratic expressions.
- Finding and using the equation of a straight line.
- Sequences are explored and general rules for sequences are found.
Big Idea: Shape and Space
- Geometric reasoning and understanding is taught through; finding missing angles, symmetry of 2D shapes, calculating the perimeter and area of 2D shapes and calculating the volume and surface area of 3D shapes.
- Undertaking geometric constructions.
- Applications of Pythagoras’ Theorem and trigonometry.
Big Idea: Data, Statistics and Probability
- Collecting, displaying and analysing data.
- Drawing and analysing a variety of graphs and charts.
- Finding all averages and range of data from lists and tables.
- Probability, including the probability of combined events, experimental probability and Venn diagrams.
Key Stage 4
KS4 Coordinator: Miss Taylor
For Foundation maths at KS4, the classes follow our GCSE curriculum Stages A-D, starting at the different stages as indicated below.
Year 10 | Year 11 | ||
---|---|---|---|
Set 4b | Stage C | Set 4a and 4b | Stage D |
Set 5a and 5b | Stage B | Set 5 | Stage C and some D |
Set 6 | Stage B |
Information about the content in each stage can be found below.
Stage | A | B | C | D |
---|---|---|---|---|
Grades | 1-2 | 2-3 | 3-4 | 4-5 |
Topic 1 | Number skills | Percentages | Number skills | Powers and Standard form |
Topic 2 | Factors, multiples and primes | Ratio and Proportion | Formulae, equations and inequalities | Equations |
Topic 3 | Algebra skills | Sequences and Equations | Fractions | Angles |
Topic 4 | Fractions | Coordinates and graphs | Transformations | Vectors |
Topic 5 | Angles and polygons | Scales and measure | Percentages and decimals | Percentages |
Topic 6 | Data | Perimeter, area and volume | Probability | Ratio and proportion |
Topic 7 | Decimals | Averages and range | Area and volume | Sequences |
Topic 8 | Transformations | Maps and bearings | Formulae, quadratic and simultaneous equations | |
Topic 9 | Money skills | Constructions and 3D representations | Perimeter, surface area, area and volume | |
Topic 10 | Statistics | Graphs | ||
Topic 11 | Money skills | Trigonometry and Pythagoras | ||
Topic 12 | Probability | |||
Topic 13 | Bounds and compound measures | |||
Topic 14 | Construction and Loci |
For Higher Maths at GCSE, the classes listed follow Stages E-I as detailed below:
Year 10: Sets 1,2,3,4a
Year 11: Sets 1,2,3
Autumn Term Year 10 |
Topic | |
Stage E | Number | Calculations, checking and rounding, Indices, roots, reciprocals and hierarchy of operations (BIDMAS), Factors, multiples, primes, standard form and surds |
Algebra | The basics, setting up, rearranging and solving equations, Sequences | |
Interpreting and Representing Data | Averages and range, Representing and interpreting data and scatter graphs | |
Fractions Ratio and Percentages | Fractions and percentages, Ratio and proportion | |
Spring Term Year 10 |
Topic | |
Stage F | Angles and Trigonometry | Polygons, angles and parallel lines, Pythagoras' Theorem and trigonometry |
Graphs | The basics and real-life graphs, Linear graphs and coordinate geometry, Quadratic, cubic and other graphs | |
Transformations and Constructions | Transformations, Constructions, loci and bearings | |
Summer Term Year 10 |
Topic | |
Stage G | Area and Volume | Perimeter, Area and Circles, 3D forms and volume, cylinders, cones and spheres, Accuracy and Bounds |
Equations and Inequalities | Solving quadratic and simultaneous equations, Inequalities | |
Probability | Probability | |
Autumn Term Year 11 |
Topic | |
Stage H | Multiplicative reasoning | Multiplicative reasoning |
Similarity | Similarity and congruence in 2D and 3D | |
Further Trigonometry | Graphs of trigonometric functions, Further trigonometry | |
Further Statistics | Collecting data, Cumulative frequency, box plots and histograms | |
Equations and Graphs | Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics | |
Spring Term Year 11 |
Topic | |
Stage I | Circle Theorems | Circle theorems; Circle geometry |
Further Algebra | Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof, Vectors and geometric proof | |
Vectors and Proof | Reciprocal and exponential graphs; Gradient and area under graphs, Direct and inverse proportion |
Exam Board: Edexcel
Assessment:
In Year 10 there are assessments after each unit and a mock exam at the end of the year.
In Year 11 there are assessments after each unit, two sets of mock exams, one in December and one in the spring.
Final GCSE assessment: Three papers each 1½ hours long covering all content; one non-calculator, two calculator papers.
Key Stage 5
KS5 Coordinator: Mr C MacGreevy
Mathematics: A Level
A level Mathematics gives you the opportunity to further your understanding of topics in pure mathematics such as geometry, trigonometry and calculus and to use these concepts within applied mathematics.
Pure mathematics, worth ⅔ of the A Level, is the study of the basic concepts and structures that underpin mathematics and can be classified into:
- algebra (functions, logarithms and calculus),
- geometry (trigonometric identities and equations) and
- modelling (the application of pure mathematics in real world contexts).
Applied mathematics, worth ⅓ of the A Level, is split into two strands:
- Statistics (data collection and analysis, statistical distributions including probability and hypothesis testing) and
- Mechanics (the study of motion and equilibrium, including forces and moments).
Exam board: Edexcel
Assessment:
At the end of year 12 there are 2 internal exams: 1 pure, 2 hours in length and 1 applied (statistics and mechanics), 75 minutes in length.
At the end of year 13 there are 3 external exams: 2 pure and 1 applied, each 2 hours in length.
Calculators are allowed for all exams.
Further Mathematics: A Level
Course Content: Further Mathematics broadens the student’s understanding of Mathematics by introducing new topics of Pure Mathematics and a larger selection of mathematical applications. Pure Mathematics topics include matrices, complex numbers, differential equations and Maclaurin and Taylor series.
Students study Further Pure and optional papers comprising Mechanics and Decision Maths. Further Pure and the optional units are in the ratio 1:1
Exam board: Edexcel
Assessment:
Four papers, two Further Pure and one Mechanics and one Decision Maths.
Each exam is 1.5 hours.
If Mathematics or Medicine is to be studied at University, please read the individual university prospectuses to discover the need, or not, of Further Mathematics at AS or A Level, and whether it is an advantage or disadvantage. Visit www.ucas.co.uk for information about university requirements or http://furthermaths.org.uk/universities for advice.