Mathematics

Subject Profile Mathematics (Darwin and Turing) 2017/2018

Phase One Mathematics (Year 7 and 8)

We are following a Maths Mastery Programme. The belief that every child can succeed in mathematics regardless of background and prior attainment is fundamental to this. Pupils who grasp topics rapidly will be challenged through rich and sophisticated problems to promote deep and lasting understanding.  Those who are not sufficiently fluent will consolidate learning before moving on.

Term one: Numbers and the Number System (Foundation and Higher); Calculating (Foundation and Higher), Calculating: Division (Foundation and Higher).

Term two: Visualising and Constructing (Foundation and Higher); Investigating properties of shapes (Foundation and Higher); Algebraic proficiency (Foundation and Higher); Understanding Risk (Higher).

Term three: Exploring fractions, decimals and percentages (Foundation and Higher); Proportional reasoning (Foundation and Higher); Pattern sniffing (Foundation and Higher).

Term four: Measuring Space (Foundation and Higher); Investigating angles (Foundation and Higher); Calculating: fractions, decimals and percentages (Foundation and Higher) .

Term five: Solving equations and inequalities (Foundation and Higher); Calculating Space (Foundation and Higher); Checking, approximating and estimating (Foundation and Higher); Algebraic Proficiency Visualising (Higher).

Term six: Mathematical Movement (Foundation and Higher); Understanding Risk II (Higher); Presentation of Data (Foundation and Higher); Measuring Data (Foundation and Higher).

 

Phase Two GCSE (Year 9 Foundation)

Term one: Shapes and angles; multiples, factors and primes; equations; negative numbers; fractions; reading scales; decimals and rounding.

Term two: Metric and imperial units; area; 3D solids; expressions and formulae; powers and roots; straight line graphs.

Term three: Scatter graphs; fractions, decimals and percentages; probability; reverse percentages.

Term four: Collecting and interpreting data; graphical representations; averages from a table; ratio and proportion.

Term five: Algebraic manipulation; further equations; further expressions and formulae.

Term six: Navigation and travel; sequences; constructions; transformations.

Phase Two GCSE (Year 9 Higher)

Term one: Properties of triangles and polygons; graphs; statistical measures; fractions; rounding and bounds.

Term two: Percentages; 2D/3D shapes; algebraic manipulation; equations.

Term three: Changing the subject of formulae; transformations; collecting data; indices and standard form.

Term four: Loci and constructions; quadratic equations; simultaneous equation.

Term five: Probability; Graphical representations.

Term six: Inequalities; Pythagoras and trigonometry.

Phase Two GCSE (Year 10 Foundation)

Term one: Angles; fractions; probability; accuracy and using a calculator.

Term two: Circles; transformations; using percentages; expressions, brackets and formulae.

Term three: Linear and simultaneous equations; drawing and using quadratic graphs; quadratic equations; indices.

Term four: Changing the subject of a formula; fractions and decimals; compound measures; inequalities.

Term five: Interpreting data; using ratio; straight line graphs and gradients; sequences.

Term six: Area, surface area and volume; constructions and loci; Pythagoras’ theorem; trigonometry; vectors.

Phase Two GCSE (Year 10 Higher)

Term one: Enlargement, similarity and congruency; graphical inequalities; sequences; sampling.

Term two: Histograms; rounding and bounds; indices; combining probabilities.

Term three: Quadratics; algebraic fractions; 3D shapes; changing the subject of a formula.

Term four: 2D shapes; graphs; direct and inverse proportion; further graphs.

Term five: Gradients and areas under curves; kinematics; circle theorems; exact values for surds, pi and trig ratios.

Term six: Further quadratics; Pythagoras and trigonometry; transforming graphs; vectors.

Phase Two GCSE (Year 11)

Each Year 11 class will be following a bespoke curriculum to cover the individual students’ needs, based on exam analyses.

 

Phase Three GCSE Re-sit (Year 12- Year 14)

Term one: Intensive revision sessions on the following key topics to prepare for November exam:  Mean from a table, Cumulative Frequency, Box and whisker diagrams, Transformations, Inequalities, Pythagoras, Right angled trig, Basic algebra, Forming equations.  Forming a 2 way table, scatter graphs and stem and leaf, Ratio, Fractions, Trial and Improvement, Use of calculator, Percentages, Angle Facts, HCF/LCM problems.

Term two: November entry to GCSE exam/Mathematics for life.

Term three to five: Bespoke curriculum based on individual students’ exam analysis.

Phase Three  A level Maths (Year 12 - Year 14)

Term one: Pure maths - Expanding brackets, factorising, straight line graphs, indices, surds, parallel and perpendicular lines, quadratic functions, proportionality equation of a line, inequalities, cubic, quartic and reciprocal graphs and geometric problems on grids.

Term two: Pure maths - transformation of graphs, unit circle, sine rule, cosine rule, algebraic division, factorising cubics, trigonometric identities, factor and remainder theorem, trigonometric graphs, solving trigonometric equations, binomial expansion.

Term three: Pure maths - vectors, exponentials, logarithms, inverse functions, differentiation, solving equations by modelling exponential growth and decay, finding tangents and normals, second order derivatives, limits of modelling and using logarithmic graphs.

Term four: Pure and Statistics-  Derivatives and graphs, increasing and decreasing functions, Integration, definite integrals, area under a curve, statistical sampling, sampling techniques, Histograms, central tendencies, cumulative frequencies, outliers and box plots, variance and standard deviation.

Term five: Mechanics and Statistics - kinematics, SUVAT equations, Newton's laws of motion, connected particles, problems with resistance forces, comparing measures of dispersion, correlation and regression, scatter diagrams, Venn diagrams, laws of probability, binomial distribution. 

Term six: Mechanics and Statistics- variable acceleration, Hypothesis testing, group and targeted revision.

Phase Two:

Exam board for GCSE (A) is Edexcel

Specification Link http://www.edexcel.com/quals/gcse/gcse10/maths/maths-a/Pages/default.aspx

Phase Three:

A level Mathematics is from the AQA Mathematics specification, available at:

http://filestore.aqa.org.uk/subjects/specifications/alevel/AQA-6360-W-SP-14.PDF