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Mathematics
Intention:
The Twickenham School Mathematics Department will follow the whole school policy for curriculum provision. In addition to this, the Mathematics department will also:
- Build on prior learning in key stages 1 and 2 in order to develop and sustain the foundational components without which future Mathematical Knowledge cannot be acquired.
- Plan and deliver exciting and engaging lessons that set high standards of challenge for all pupils throughout.
- Follow a rigorous and carefully planned curriculum that allows students to learn Mathematical skills whilst also enhancing their broader perspective on the world and development of cultural capital through real life examples.
- Provide daily opportunities for coherently sequenced retrieval practice to commit the learning from the curriculum to long-term memory.
- Provide students with opportunities for reflection within lessons to constantly develop their personal understanding of Mathematics.
- Encourage all students to consider further study of Mathematics and entry into Mathematical options post-16 e.g. A Levels.
- Develop students’ interest in Mathematics in the wider world through activities such as Maths clubs, competitions such as UKMT and special events such as National Numeracy Day.
- KS4 students will follow the Edexcel Pearson GCSE Mathematics Course. Some students will follow the Higher Course and others the Foundation although there will be flexibility to switch between the two.
- KS3 Students will follow a broad and coherently sequenced curriculum that will prepare them for KS4 in Mathematics whilst also following an enrichment curriculum that will allow students to develop their problem-solving skills, learn about the History of Mathematics and develop their financial literacy.
Allocation of Teaching and Sets
All Year Groups are taught by specialist teams with specific teachers allocated to specific classes. Year 8 – 11 are taught in ability sets, however, arrangements for setting are flexible and regularly reviewed. Monitoring points will ensure that there are termly opportunities for students to move between sets. Occasionally, classes split between two teachers may occur but in such instances a robust and consistent scheme of work will ensure that no inequities or inconsistencies develop. Year 7 are taught in mixed ability classes for the duration of their first academic year, whilst we ensure any inconsistencies in knowledge from primary school are rectified.
Marking and Feedback
Every student will receive one assessed task per half term which the teacher will provide detailed feedback on. Students will then be given time to reflect upon and improve their work with respect to said feedback. Students will also take one retrieval practice assessment per half term to assess whether concepts and skills are successfully being committed to long term memory. Books will be marked once per half term in order to quality assure the output of work during lessons.
Implementation - curriculum sequence
| HT1 | HT2 | HT3 | HT4 | HT5 | HT6 | |
| Year 7 |
Number: Place value, rounding, calculations, decimals, negatives, powers, BIDMAS, estimation |
Number: Factors, multiples, primes, HCF & LCM, Prime Factor Decomposition, four operations with fractions and decimals |
Number: Powers, roots, indices, standard form |
Algebra: Collecting like terms, substitution, expanding & factorising, including quadratic expressions |
Algebra: Rearranging formulae, solving equations. Number: proportions of amounts, percentages, ratio, converting between fractions, decimals and percentages |
Geometry: Properties of 2D & 3D shapes, angle facts, angles in polygons, angles in parallel lines |
|
Year 8 |
Geometry: Area & Perimeter, Pythagoras' Theorem, Trigonometry and Circles |
Geometry: Surface area, nets, volume, similarity & congruence. Statistics: Averages, quartiles. Geometry: Co-ordinates |
Statistics: pictogram, bar chart, frequency polygons, scatter graphs, real-life graphs, stem & leaf, pie charts, box-plots, comparing distributions, cumulative frequency graphs, histograms |
Statistics: Two-way tables, frequency trees, Venn diagrams. Number: Percentages, interest, multipliers, repeated percentage change, ratio & proportion, multiplicative reasoning, scale drawings |
Number: Best buys, Metric & Imperial conversions, exchange rates, recipes, compound measures. Algebra: Expression, formulae, forming and solving linear equations |
Algebra: Simultaneous equations, direct and inverse proportion, plotting graphs; linear, quadratic, cubic, reciprocal. Statisitics: Product rule, combination, permuations, probability |
|
Year 9 |
Algebra: Forming and solving equations, Simultaneous Equations; Direct & Inverse proportion; Plotting graphs. Statistics: Product Rule, listing outcomes, probability |
Statistics: Venn diagrams tree diagrams, algebraic probability. Algebra: Inequalities, error intervals, function machines, gradients & intercepts, y=mx+c. |
Algebra: Graphs and equations consolidation, interpreting scales, real life graphs, DT and VT graphs, Sequences, nth term |
Number: Calculator methods, money problems; Geometry: transformations, construction, loci, bearings |
Geometry: Plan and elevation, vectors. Consolidation: Mixed algebra with perimeter and area |
Consolidation: Mixed algebra with angles and ratio, time, problem solving, exam practice |
|
Year 10 |
Number: Integers and Place Value, Decimals, Indices, Powers and Roots, Factors, Multiples, Primes, Standard Form, FDP conversions |
Algebra: Algebraic conventions, expressions, substitution, equations, rearranging, simultaneous equations, inequalities, sequences nth term |
Geometry: 2D shapes, angles in triangles and polygons, angles in parallel lines, bearings, Pythagoras, trigonometry, similar shapes, congruency |
Geometry: Plan and elevation, area of 2D shapes including circles, perimeter, volume and surface area, Algebra: Co-ordinate midpoints, plotting graphs, gradients and intercepts, y=mx+c |
Number: Percentages, ratio, proportion Geometry: vectors, transformations Statisics: Averages |
Statistics: Probability, statistical graphs and diagrams, pie charts, box plots, cumulative frequency |
|
Year 10 |
Number: Place value, rounding, fractions, FDP, decimals powers and roots indices, BIDMAS, HCF, LCM, Standard form, percentages, multipliers, interest, surds, ratio |
Number: Proportion - exchange rates, best buys; Algebra: Substitution, quadratics, expanding, factorising, compound measures, rearranging, forming and solving equations, Sequences, completing the square, simultaneous equations |
Algebra: Direct and inverse proportion, cubic and other graphs, midpoints, gradients, intercepts, y=mx+c, inequalities, equations and tangents to circles, Exponential graphs, growth and decay |
Algebra: Inequalities, Time distance, velocity time graphs, Real-life graphs, rearranging formulae, Algebraic fractions, proof, surds, Angle facts, parallel lines, polygons, 2D shapes, circles |
Geometry and Measures: Arcs and sectors, Pythagoras' Theorem, trigonometry, transformations. Algebra: Functions, transformations of graphs |
Algebra: Graphs of the trigonometric functions and their transformations. Geometry and Measures: 3D representations, surface area & volume, bounds |
|
Year 11 |
Number & Algebra Revision; Compound measures: speed, density and pressure |
Statistics revision: Probability, combinations and permutations, Venn Diagrams. Algebra: Forming equations; Consolidation |
Cumulative mixed revision |
Mixed revision |
Exams |
Exams |
|
Year 11 |
Number & Algebra Revision; Compound measures: speed, density and pressure |
Statistics revision: Probability, combinations and permutations, Venn Diagrams. Algebra revision including: Forming equations, inequalities, histograms, solving graphs graphically, algebraic proof |
Algebra revision: Simultaneous equations, quadratic formula, algebraic fractions, algebraic probability, quadratic nth term, equation and tangent to a circle, surds, rationalising the denominator, completing the square, turning points |
Algebra consolidation: Circle theorem, functions, composites, roots and iterative processes; mixed revision |
Exams |
Exams |
|
Year 11 |
Statistics: probability, algebraic probability, Averages and diagrams, histograms |
Geometry: Bearings, construction, congruency, similarity, circle theorem, vectors |
Mixed revision |
Mixed revision |
Exams |
Exams |
Below are links to more detailed calendars for Y10 and Y11 and a more detailed breakdown of objectives that will be covered with references for the relevant revision resources for each one.
The maths department follows the Edexcel specification, which can be found here:
