FOUNDATION HIGHER. F Autumn 1, Yr 9 Autumn 2, Yr 9 Spring 1, Yr 9 Spring 2, Yr 9 Summer 1, Yr 9 Summer 2, Yr 9
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1 Year: 9 GCSE Mathematics FOUNDATION F Autumn 1, Yr 9 Autumn 2, Yr 9 Spring 1, Yr 9 Spring 2, Yr 9 Summer 1, Yr 9 Summer 2, Yr 9 HIGHER Integers and place value Decimals Indices, powers and roots Factors,multiples and primes Algebra: the basics Expanding and factorising single brackets Expressions and substitution into a formulae Tables Charts and graphs Pie charts Scatter graphs Fractions Fractions, decimals percentages Percentages Statistics and questionnaires The averages Angles, lines and symmetry Polygons and parallel lines Interior and exterior angles of polygons Equations Inequalities Sequences H Autumn 1, Yr 9 Autumn 2, Yr 9 Spring 1, Yr 9 Spring 2, Yr 9 Summer 1, Yr 9 Summer 2, Yr 9 Calculations, 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 Sequences 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 3D forms Circles, cylinders, cones and spheres Accuracy and bounds
2 Year: 10 GCSE Mathematics FOUNDATION F Autumn 1, Yr 10 Autumn 2, Yr 10 Spring 1, Yr 10 Spring 2, Yr 10 Summer 1, Yr 10 Summer 2, Yr 10 Perimeter and area 3D forms and volumes Real-life graphs Straight line graphs Transformations (rotations and translations) Transformations (reflections and enlargements) Ratio Proportion Right-angles triangles: Pythagoras and trigonometry Probability Multiplicative reasoning Plans, elevations and nets Constructions, loci and bearings Quadratic equations: expanding and factorising Quadratic equations: graphs Circles, cylinders, cones and spheres Fractions and reciprocals Indices and standard form Similarity and congruence in 2D Vectors Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations HIGHER H Autumn 1, Yr 10 Autumn 2, Yr 10 Spring 1, Yr 10 Spring 2, Yr 10 Summer 1, Yr 10 Summer 2, Yr 10 Transformations Constructions, loci and bearings Solving quadratic and simultaneous equations Inequalities Probability Multiplicative reasoning Similarity and congruence in 2D and 3D Graphs of trigonometric functions Further trigonometry Collecting data Cumulative frequency, box plots and histograms Quadratics, expanding 3 brackets, sketching graphs, graphs of circles, cubes and quadratics Circle theorems Circle geometry Changing the subject of formulae, algebraic fractions (including solving equations), rationalising surds and proof Vectors and geometric proof Reciprocal and exponential graphs; gradient and area under graphs Direct and inverse proportion
3 Year: 11 GCSE Mathematics (Foundation) Autumn 1, Yr 11 Autumn 2, Yr 11 Spring 1, Yr 11 Spring 2, Yr 11 Summer 1, Yr 11 Summer 2, Yr 11 Integers and place value (4 operations) Decimals (4 operations) Indices, powers and roots Factors,multiples and primes Fractions Fractions, decimals percentages Percentages Algebra: the basics Expanding and factorising single brackets Expressions and substitution into a formulae Equations Inequalities Sequences Preparation for exams using past exam questions Problem solving Completion of exams
4 Year: 11 GCSE Mathematics (Higher) Autumn 1, Yr 11 Autumn 2, Yr 11 Spring 1, Yr 11 Spring 2, Yr 11 Summer 1, Yr 11 Summer 2, Yr 11 Calculations, 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 Sequences 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 3D forms Circles, cylinders, cones and spheres Accuracy and bounds Transformations Constructions, loci and bearings Solving quadratic and simultaneous equations Inequalities Probability Multiplicative reasoning Similarity and congruence in 2D and 3D Graphs of trigonometric functions Further trigonometry Collecting data Cumulative frequency, box plots and histograms Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics Circle theorems Circle geometry Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof Vectors and geometric proof Reciprocal and exponential graphs; Gradient and area under graphs Direct and inverse proportion Completion of exams
5 Year: 11 Further Mathematics GCSE Level 2 Certificate Autumn 1, Yr 11 Autumn 2, Yr 11 Spring 1, Yr 11 Spring 2, Yr 11 Summer 1, Yr 11 Summer 2, Yr 11 Number: recall and extension Manipulation of surds Recall of basic algebra Expanding brackets and collecting like terms Factorising Perimeter of compound shapes Area of basic shapes Circumference and area of a circle Volume of a cube, cuboid, prism and pyramid Volume of a cone and sphere Special triangles and quadrilaterals Angles in polygons Circle theorems Cyclic quadrilaterals Tangents and chords Alternate segment theorem Function notation Domain and range Sketching graphs of linear and quadratic functions. The significant points of a quadratic graph Introduction to matrices The zero matrix and the identity matrix Transformations Combinations of transformations Manipulation of algebraic expressions Use and manipulation of formulae and expressions The factor theorem Number sequences The nth term of sequence The nth term of a linear sequence The nth term of a quadratic sequence The limiting value of a sequence Pythagoras Theorem Trigonometry and right angles triangles The sine rule and the cosine rule Solving linear equations Setting up equations Solving quadratic equations by factorisation or the quadratic formula Solving quadratic equations by completing the square Solving quadratic equations graphically Simultaneous linear equations Linear and non-linear simultaneous equations Using graphs to solve simultaneous linear equations Using graphs to solve simultaneous equations, one linear one non-linear Solving equations by the method of intersection Linear inequalities Quadratic inequalities Graphical inequalities Cartesian grids and straight line graphs The equation of a straight line in the forms y = mx + c and y y1 = m (x x1) Parallel and perpendicular lines Applications of coordinate geometry The equation a circle centred on the origin (0,0) The equation of a circle centred on any point (a,b) Using indices Rules of indices Negative indices Fractional indices Solving equations with indices The gradient of a curve More complex curves Stationary points and sketching curves The equation of a tangent and a normal at any point on a curve Trigonometric ratios and angles between 90 and 360 The circular function of graphs Special right-angled triangles Trigonometrical expressions and equations Algebraic Proof Geometric proof Preparation for exams using past exam questions Problem solving Completion of exams
6 Year: 12 Mathematics Autumn 1, Yr 12 Autumn 2, Yr 12 Spring 1, Yr 12 Spring 2, Yr 12 Summer 1, Yr 12 Summer 2, Yr 12 Core 1 Core 2 Decision 1 Optional mechanics 1 course Core 1 Core 2 Decision 1 Optional mechanics 1 course Core 1 Core 2 Decision 1 Optional mechanics 1 course Core 1 Core 2 Decision 1 Optional mechanics 1 course Checking understanding across all units Begin exam preparation via completion of practice papers with support Completion of AS exams and introduction to the core 3 and core 4 topics for A2
7 Year: 13 Mathematics Autumn 1, Yr 13 Autumn 2, Yr 13 Spring 1, Yr 13 Spring 2, Yr 13 Summer 1, Yr 13 Summer 2, Yr 13 Core 3 Core 4 Statistics 1 Core 3 Core 4 Statistics 1 Core 3 Core 4 Statistics 1 Core 3 Core 4 Statistics 1 Checking understanding across all units Begin exam preparation via completion of practice papers with support Completion of examinations
8 Year: 12 Further Mathematics Autumn 1, Yr 12 Autumn 2, Yr 12 Spring 1, Yr 12 Spring 2, Yr 12 Summer 1, Yr 12 Summer 2, Yr 12 Core 1 Core 2 Mechanics 1 Core 1 Core 2 Mechanics 1 Core 3 Core 4 Statistics 1 Core 3 Core 4 Statistics 1 Checking understanding across all units Begin exam preparation via completion of practice papers with support Completion of AS exams and introduction to FP1 and FP4 units.
9 Year: 13 Further Mathematics Autumn 1, Yr 13 Autumn 2, Yr 13 Spring 1, Yr 13 Spring 2, Yr 13 Summer 1, Yr 13 Summer 2, Yr 13 FP1 FP4 Decision 1 FP1 FP4 Decision 1 Mechanics 2 Statistics 2 Decision 2 Mechanics 2 Statistics 2 Decision 2 Checking understanding across all units Begin exam preparation via completion of practice papers with support Completion of examinations.
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