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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

Year | Autumn HT1 | Autumn HT2 | Spring HT1 | Spring HT2 | Summer HT1 | Summer HT2 |
---|---|---|---|---|---|---|

7 |
Number: Place value, Calculations, Negatives, Fractions |
Number: FDP, Indices Algebra: Intro to Algebra, Expressions |
Algebra: Forming and Solving Equations, Formulae, Functions Co-ordinates and Graphs, Linear Graphs and Gradient |
Number: Number Theory and Sequences, Non-Calculator FDP, Ratio and Proportion, Percentages |
Number: Working with measures Geometry: Angles, Shapes, Area, Pythagoras', Volume and 3D shapes |
Geometry: Pythagoras' and Trigonometry, Angles and Similarity, Maps and Constructions |

8 |
Number: Place value, Calculations, Negatives |
Number: Fractions, Decimals and Percentages, Indices |
Algebra: Intro to Algebra (recap), Expressions, Forming and Solving Equations |
Algebra: Formulae, Functions, Co-ordinates and Graphs, Linear Graphs and Gradient |
Number: Number Theory and Sequences, Non Calculator FDP, Ratio and Proportion |
Number: Percentages, Working with Measures Geometry: Angles |

9 |
Geometry: Shapes, Area and Pythagoras', Area, Volume and 3D Shapes, Trigonometry |
Geometry: Angles and Similarity, Maps and Constructions, Transformations |
Statistics Probability |
GCSE Baseline Curriculum - Number, Ratio and Algebra |
GCSE Baseline Curriculum - Geometry and Measure, Statistics and Probability |
GCSE Baseline Curriculum - End of Year exam revision and corrections |

10 Foundation |
Number: Integers and Place Value, Decimals, Indices, Powers and Roots, Factors, Multiples, Primes, Fractions, Percentages, Standard Form |
Ratio and Proportion: Ratio, Proportion and Multiplicative Reasoning Probability |
Algebra: Algebraic conventions, expressions, substitution, equations, inequalities, sequences, real life graphs |
Algebra: Straight-line graphs, quadratic equations, expanding and factorising, rearranging Geometry: Parallel lines, angles facts, interior and exterior angles, angles of polygons |
Geometry: Perimeter and Area, Volume and 3D shapes, Circles, cylinders, cones and spheres, right angled triangles, transformations, plans and elevations |
Geometry: Constructions loci and bearings, similarity and congruence in 2D, vectors Statistics: Tables, charts and graphs, pie charts, scatter graphs, statistics, sampling and the averages |

10 Higher |
Calculations, checking, rounding, indices, roots, factors, multiples, primes, standard form, surds, fractions, percentages, ratio and proportion, multiplicative reasoning |
Algebra: Algebraic Conventions, Sequences, Linear Graphs and Coordinate Geometry, Quadratic, Cubic and other graphs, linear equations, quadratic equations and simultaneous equations |
Algebra: Inequalities, sketching, graphs of circles, cubes, changing the subject, algebraic fractions, algebraic proof, reciprocals, gradient, area under the graph, direct and inverse proportion |
Probability
Geometry: Polygons, angles and parallel lines, Pythagoras' Theorem, Trigonometry, Perimeter, area and circles |
Geometry: 3D Forms and volume, cylinders, cones and spheres, accuracy and bounds, transformations, constructions, loci and bearings, similarity and congruence in 2D and 3D, graphs of trigonometric functions |
Geometry: Further trigonometry, circle theorems, circle geometry, vectors and geometric proof Statistics: Averages and range, representing and interpreting data, collecting data |

11 Foundation |
Number Revision: Integers, place value, decimals, indices, powers and roots, factors, multiples and primes, FDP Ratio and Proportion Revision: multiplicative reasoning, real life graphs, and straight line graphs Algebra Revision: Expressions, substitution, equations, inequalities and sequences |
Algebra: Quadratic equations, expanding and factorising, rearranging Mixed revision for January mocks |
Geometry: Properties of shape, parallel line and angle facts, interior and exterior angles of polygons, perimeter, area and volume. Circles, cones and spheres, transformations, right-angled triangles, Pythagoras' and trigonometry, plans and elevations, constructions, loci and bearings |
Probability Statistics: Tables, Charts and Graphs, pie charts and scatter graphs |
Mixed revision |
Mixed revision |

11 Higher |
Number revision: Calculations, checking and rounding, indices, reciprocals, factors, multiples, primes, standard form and surds Ratio and proportion: multiplicative reasoning Algebra: the basics, rearranging and solving equations, solving quadratics and simultaneous equations |
Algebra: Quadratics, changing the subject, reciprocals, area under the graphs, direct and inverse proportion Mixed revision for January mocks |
Geometry: Polygons, angles and parallel lines, perimeter, area and circles, 3D forms and volume, cylinders, cones and spheres, accuracy and bounds, transformations, constructions loci and bearings, similarity and congruence in 2D and 3D, trigonometric functions, further trigonometry, circle theorems, circle geometry, vectors and geometric proof |
Probability Statistics: Averages and range, representing and interpreting data and scatter graphs, collecting data, cumulative frequency, box plots and histograms |
Mixed revision |
Mixed revision |

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: