Curriculum - Mathematics

CURRICULUM MAP
Mathematics
HT1HT2HT3HT4HT5HT6
Y7Whole Numbers and Decimals; Expressions and Formulae Integers and Calculations; Decimal CalculationsFractions, Decimals and Percentages; Ratio and ProportionProbability; Measures, Perimeter and Area Angles and 2D ShapesStatistics, Everyday Maths
Y8Whole Numbers and Decimals; Mental Calculations; Written and Calculator MethodsExpression and Formulae; Fractions, Decimals and PercentagesRatio and Proportion; GraphsTransformations and Symmetry; EquationsSequences; 3D ShapesConstructions, Everyday Maths
Y9
FoundationIntegers and place value, Decimals, Indices, powers and roots.Algebra and the basics,
Expanding/factorising brackets,
Expressions and substitution into formulae,
Solving Linear equations.
Tables, charts and graphs,
Pie charts and scatter graphs,
Averages
Fractions,
Fractions, decimals and percentages,
Percentages.
Equations, Inequalities,
Sequences.
Properties of shapes, Parallel lines and angle facts,
Interior and exterior angles of polygons
Perimeter and area,
3D forms and Volume
HigherCalculations, checking and rounding
Indices, roots, reciprocals and hierarchy of operations
Factors, multiples and primes
Standard form and surds
Algebra: the basics
Setting up, rearranging and solving equations
Averages and range
Representing and interpreting data
Scatter graphs
Fractions
Percentages
Ratio and proportion
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
Perimeter, area and circles
3D forms and volume, cylinders, cones and spheres
Accuracy and bounds
Y10
FoundationRatio and proportion, PythagorasProbability, Percentages, Decimals, Factors and Multiples, FractionsStatistics-Tables, charts and graphs,
Pie charts and scatter graphs,
Statistics-Averages, SequencesProperties of shapes, parallel lines and angle facts
Interior and exterior angles of polygons, Equations
Inequalities
Transformations I: translations, rotations and reflections
Transformations II: enlargements and combinations, Real-life graphs
Straight-line graphs
HigherRatios and Proportion, Basic trigonometry, Advanced trigonometry, Factorising and expanding double bracketsSurds, Solving quadratics by factorising, Completing the square and solving quadratics, The quadratic formula, Fractions, Algebraic fractionsSimultaneous equations, 3-D shapes- volume and surface areaProbability,
Averages and measure of spread
Representing and interpreting data
Scatter graphs, Inequalities, Transformations
Similarity and congruence in 2D and 3D, Standard form,
Constructions, loci and bearings
Y11Set 1/2: Circle Theorems, Sine and Cosine rules, Vectors, Transforming Graphs Set 3: Angle Properties and Circle Theorems, Properties of numbers, Algebraic Expressions and Formulae Set 4/5: Linear Equations, Fractions, Sequences, Co-ordinates and GraphsSet 1/2: Transforming Graphs, Writing Recurring Decimals as Fractions, Upper and Lower Bound Calculations, Constructions and Loci, Sketching Graphs Set 3: Solving Quadratics, Fractions, The Tangent Ratio Set 4/5: Rules of Indices, Perimeter Area and Volume, Ratio and Proportion, Compound Measures Set 1/2: Length, Area and Volume, Sketching Graphs, Quadratic Equations(Completing the square), Proportion, Sine Graph Set 3: Sine and Cosine Ratios, Averages and Spread, Probability, Using Formulae, Simultaneous Equations, Inequalities, Ration and Proportion Set 4/5: Probability, Percentages, Co-ordinates and Graphs, Area, Perimeter and Volume, Presenting and Analysing DataSet 1/2: Trigonometric Graphs, Independent events, Interpreting Frequency Graphs, Pythagoras in 3-D, using irrational numbers in calculations , using Upper and Lower bounds. Use of the calculator Set 3: Percentages, Compound Measure, Averages from frequency tables, Presenting Data, Equation of a straight line Set 4/5: Formulae and Inequalities, Angles of Polygons, Tessellation, Plans and Elevation, Transformations, Pythagoras, Scatter Graphs Exam Preparation
Y12Algebra, Quadratics, Cubics, Inequalities, Simultaneous equations, Coordinate Geometry and GraphsCircles, The Binomial Expansion, Trigonometry and DifferentiationExponentials, Logarithms, Integration, Sampling, Data Presentation and InterpretationCorrelation, Vectors and ProbabilityStatistical Distributions, Statistical Hypothesis Testing, Kinematics, Forces and Newton's LawsFurther Algebra and Further Trigonometry
Y13C3 Product and Quotient Rule for Differentiation, x as a function of y, Trigonometric Functions/Equations, Trigonometric Identities, Differentiation of Trigonometric Functions. S1 Averages, Spread, ProbabilityC3 Differentiating Logs and Exponentials, Natural Logs, Products and Quotients, Integration by Substitution and by Parts, Definite Integrals, Applications of Integration. S1 Scatter Diagrams, PMCC, Limitations of Correlation, Regression Lines and Binomial DistributionC4 Remainder and Factor Theorem, Algebraic Fractions, Algebraic Division, Partial Fractions, S1 Normal Distribution and Confidence Intervals.C4 Trigonometric Compound Angles, Double Angles, Triple Angle Formulae, Harmonic Form and Applications of these in Integration. Binomial Series and VectorsC4 Exponential Models and Further Calculus, C3 C4 S1 Exam Preparation

GCSE


What course do we follow?

Pupils follow the linear course, which will be tested at the end of Year 11. Pupils will be entered for either Foundation or Higher tier.

What will I learn?

All courses cover material from the National Curriculum at a level appropriate to the ability of the pupils. The content has ben ground into the following topic areas:

  • Number
  • Algebra
  • Ratio and Proportion and Rates of Change
  • Geometry and Measure
  • Probability
  • Statistics
How will I be assessed?

Year 11 Examination

Paper 1 – Non-calculator  (33.3% ) written examination
Paper 2 – Calculator         (33.3%) written examination
Paper 3 – Calculator.        (33.3%) written examination
Any part of the specification can be tested on any paper.

What resources are used?

Pupils will be provided with their own GCSE textbook. To help with revision, there will be many resources available on the VLE which include past papers, exam board mark schemes, worked solutions and revision schedules. Mathswatch / MyMaths is also available on our VLE which is a resource covering all topics with audio/visual lessons and providing exam question practice.

How will this subject help me in the future?

We study Mathematics in order to gain a qualification, which is very important for future employment and entry to further or higher education. In order to follow many post 16 courses, a minimum level of Mathematics attainment is required. Mathematics at GCSE is required in almost all jobs, but, for the following careers, it is essential: doctor, chemist, teacher, (of any subject), pilot, engineer, games programmer and architect.

GCE A Level


Sacred Heart is a specialist College for Mathematics and Computing. There is a well equipped specialist Mathematics block.

The subject content for A Level Mathematics is set out by the DfE and is common  across all exam boards and schools/colleges. The content listed below covers the complete A level Mathematics course. Students must use Mathematical modelling, problem solving, argument, language and proof across the content listed below.

Year 12/13

  • Pure Maths
  • Algebraic manipulation, Quadratic
  • equations and Simultaneous equations
  • Linear/Quadratic graphs and Inequalities
  • Straight lines and circles
  • Binomial Expansion
  • Differentiation
  • Integration
  • Trigonometry
  • Vectors
  • Proof
  • Exponentials and Logarithms
  • Parametric equations
  • Binomial Theorem, Sequences and Series
  • Circular Measure
  • Functions and Transformations
  • Numerical Methods
  • Partial Fractions
  • Differential Equations

Applied  Maths

  • Statistics
  • Statistical Sampling
  • Data Presentation and Interpretation
  • Probability and Statistical Distributions
  • Statistical Hypothesis Testing
  • Statistical Distributions
  • Analysis of Data using Statistical
  • Packages
  • Further Probability
  • Mechanics
  • Kinematics in One Dimension
  • Forces and Newton’s Laws
  • Kinematics in Two Dimensions
  • Equilibrium and Resolving
  • Statics and Dynamics
  • Moments

Students need to have achieved at least a grade 6-9 at GCSE Mathematics to take A Level Mathematics.The marks for the course are earned by sitting 3 linear exams of 2 hours duration at the end of Year 13. Each examination has an equal weighting  of 100 marks. Paper 1 is 100% Pure Maths, Paper 2 is 50% Pure and 50% Mechanics and Paper 3 is 50% Pure and 50% Statistics. Calculators can be used on all 3 papers.

A Level Mathematics is an ideal qualification for entry to higher education in many fields of study, including: Mathematics itself, all Science, Medicine and Veterinary Science, Engineering, Accountancy and Computer Science.