Maths (Y10-13)

Mathematics is the ubiquitous language that holds solutions to a wide range of problems. The skills learnt at here will be used to further education, inspire research and to pay your gas bill. Mathematics can describe how the planets orbit the sun, the optimum size for a drinks bottle and to budget for your personal finances.

Not all areas of maths are useful or accessible to all, what we will do is allow the students to discover the importance of the subject for their individual needs whilst guiding them to an important qualification. The school will offer a scheme of work to a learner led audience.

A typical maths lesson will not be didactic or conventional; it will provide an opportunity to explore functional problems as well as discuss abstract concepts. We will offer the opportunity to innovate and research as well as offer the support and guidance to those whom the subject does not come naturally.

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GCSE

	Term 1a	Term 1b	Term 2a	Term 2b	Term 3a	Term 3b
Year 10	Unit 1 Indices, standard form and essential number skills including: essential number skills, laws of indices, standard form, HCF and LCM	Unit 2 Visual representation of Mathematics Number including: Fractions, percentages, ratio and proportion	Unit 3 Visual Representation of Mathematics Algebra including: Expressions, equations, quadratics, simultaneous equations, inequalities, sequences, proof, functions and algebraic fractions	Unit 3 Visual Representation of Mathematics Algebra including: Expressions, equations, quadratics, simultaneous equations, inequalities, sequences, proof, functions and algebraic fractions	Unit 4 Angles in parallel lines and polygons including: Measuring, calculating, angles in parallel lines and polygons, circle theorems Unit 5 Pythagoras and Trigonometry	Unit 6 Bearing, Loci and construction and vectors
Year 11	Unit 7 Perimeter, area and volume Unit 8 Representation and analysis of statistics including: averages, reverse mean, mean from a table and various statistical representations	Unit 8 Representation and analysis of statistics including: averages, reverse mean, mean from a table and various statistical representations Unit 9 Direct and inverse proportion and compound measure including best buys, proportion problems, direct and inverse proportion, speed/distance/time, pressure/force/area, density/mass/volume	Unit 10 Coordinate Geometry including: straight line graphs, quadratic curves and other graphs such as exponential, cubic, reciprocal and circles	Unit 11 Probability including: sample space, two way tables, venn diagrams and set theory, tree diagrams, conditional probablilty Unit 12 Transformations including: rotations, reflections, enlargements and translations	Exam preparation and GCSE revision	Exam preparation and GCSE revision / Beginning of GCSE's

Maths Standard

	Term 1a	Term 1b	Term 2a	Term 2b	Term 3a	Term 3b
Year 12	Number Skills, series and sequences, financial maths. Topics include: indices, standard form, arithmetic and geometric sequences and their sums, amortisation and annuities	Statistics: Bivariate statistics, descriptive statistics, probability. Topics include: Standard deviation and variance, expected values, discrete random variables	Hypothesis testing including T-Tests and Chi-Squared tests, venn diagrams, correlations, causations and linear regression	Start of Internal Assessment coursework. Normal and Binomial Distributions	Coordinate geometry. Topics include: linear equations and graphs, functions, parallel and perpendicular gradients and perpendicular bisectors.	Real world applications of functions including sinusoidal, exponential and quadratic.
Year 13	Geometry and trigonometry. Topics include: area, perimeter volume of 2D & 3D shapes.	Voronoi diagrams/toxic waste problem. Sine/Cosine/area of a triangle rules. Real life applied problems of geometry and trigonometry.	Calculus. Topics include: differentiation & integration, min/max optimisation problems, trapezium rule for estimation.	Revision/exams

Maths Higher

	Term 1a	Term 1b	Term 2a	Term 2b	Term 3a	Term 3b
Year 12	Sequence, Series and Proofs Topics include: Arithmetic and Geometric Sequences Convergence and Divergence Algebraic Proofs Proof by mathematical induction Proof by contradiction Binomial Expansion	Functions Topics include: Manipulating quadratics Composite and inverse functions Partial Fractions Domain and Range Modulus notation Types of Functions	Expanding the Number System Topics Include: Complex Numbers Polynomial Division Fundamental theorem of algebra Solving systems of linear equations	Calculus Introduction Topics Include: Coordinate Geometry Differentiation - Finding the gradient Differentiation - Chain Rule Differentiation - Product Rule Differentiation - Quotient Rule Differentiation - Implicit Kinematics	Statistics Topics Include: Graphical representations of averages Sampling Variance and Standard Deviation Correlation and Causation	Geometry and Trigonometry Topics include: Pythagoras and Trigonometry in 3D Sine Rule Cosine Rule Exact Trig Values Measuring in Radians Manipulating Trigonometric identities
Year 13	Integrations and Logarithms Topics include: Solving Log Equations Integration to find a function Integration by Substitution Integration by Parts Integrating using partial fractions	Calculus: Modelling Change Topics include: Volumes of revolution Kinematics Differential equations Numerical Analysis L'Hopital's Rule Maclaurin Series	Modelling 3D Space Topics Inculde: Manipulation of Vectors Magnitude of a vector in 3D Space Scalar Product Vector Equation of a line Cartesian Equation of a Line in 3D	Complex Numbers: Topics include: Polar form Manipulation in Eulerian Form De Moivre's Law Systems of complex equations	Distributions Topics Include: Probability and Set Theory Bayes' Theorem Discrete Random Variables Continuous Random Variables Binomial Distribution Normal Distribution	Revision in prep for final exams