# Maths

Our Curriculum Aims:

 We aim for our students to:  Become fluent in the fundamentals of Mathematics so that they develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.  Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof.  Solve problems by applying their knowledge to a variety of routine and non-routine problems.  Enjoy the study of Mathematics and experience its wide-ranging cross-curricula links and application in the real-world.   Develop their confidence, independence and resilience through being challenged.  Have a strong knowledge and skills base to progress to the next key stage, support their studies of other subjects and to enter a wide range of technical and scientific professions.

Key Stage Three Curriculum Overview
Year 7

 Name of topic Key Content of the Topic Assessment points HT 1 Number skills recap, introduction to algebra Decimals, rounding and estimating, negative numbers, BODMAS, simplifying algebraic expressions and indices. HT 2 Basic algebraic skills, simple 2D geometry, averages Expanding brackets, solving equations, properties of quadrilaterals and triangles, area of 2D shapes, angle properties and types of averages. Termly assessment HT 3 Number calculations, types of number, fractions Written methods for addition, subtraction, multiplication and division, factors, multiples and primes.  Calculating with fractions; cancelling, equivalence, addition, subtraction, multiplication, division, fractions of amounts. HT 4 Further algebra, percentages, angles in polygons Solving more complicated equations, factorising, calculating percentages of amounts, percentage increase and decrease and angles in polygons. Termly assessment HT 5 Ratio, further algebra 2, probability Ratio and proportion, substitution, changing the subject, calculating probabilities, sample space diagrams and expectation. Termly assessment HT 6 Coordinates, bearings, scale drawings, 3D shapes 4 quadrant coordinates, midpoint, bearings, maps scales, scale drawing, nets of 3D shapes, 2D projections, volume and surface area of cuboids.

Year 8

 Name of topic Key Content of the Topic Assessment points HT 1 Sequences, functions, further ratio, further percentages Generate sequences, nth term, using function notation, plotting graphs, divide a quantity into a given ratio, direct and inverse proportion, calculating percentage of an amount, increases and decreases using a calculator HT 2 Transforming shapes, similar shapes, units of measure, changing the subject, equation of straight lines Rotational and line symmetry in 2D shapes, reflection, rotation, translation, enlargement of 2D shapes, converting between units of measure, similar triangles, ratio in area and volume, further changing the subject, using the equation of straight-line graphs, parallel and perpendicular lines. Termly assessment HT 3 Statistical diagrams, complex equations, further probability Pie charts, scatter graphs and correlation, solving equations containing fractions, trial and improvement, simultaneous equations, experimental probability, relative frequency and tree diagrams. HT 4 Further Statistics, Pythagoras’ theorem, constructions, further indices, standard form Frequency polygons, averages from frequency tables, Pythagoras’ theorem, constructions, loci, laws of indices, negative and fractional indices, calculating with standard form. Termly assessment HT 5 Inequalities, the circle Solving inequalities, plotting inequalities, area and circumference of a circle, arc length, sector area. Termly assessment HT 6 Limits of accuracy, decimals Upper and lower bounds, converting fractions and decimals, recurring decimals

Year 9

GCSE Course Followed: Mathematics

Setting
The whole year group is divided into four or five pairs of parallel sets.  Setting will take account of ability and the speed at which each pupil can work.  There are large numbers of boys in the higher sets (about 30), reducing to about 12 in the lower sets.

Content

• Number
• Algebra
• Ratio, proportion and rates of change
• Geometry and measures
• Probability
• Statistics

All our students will be entered at the higher level. There are three examinations and these are all taken at the end of Year 11 with the exception of Set 1 pupils who will take them in Year 10.

• Paper 1 (Non-Calculator) 1 ½ hours, 33⅓% of the overall marks
• Paper 2 (Calculator) 1 ½ hours, 33⅓% of the overall marks
• Paper 3 (Calculator) 1 ½ hours, 33⅓% of the overall marks

In each of these papers, content from any part of the specification may be assessed.

During Year 11, Set 1 and 2 pupils will study one of two Additional Mathematics qualifications. These courses are excellent preparation for studying A Level especially for those pupils who want to study Further Mathematics at A Level. The content of these qualifications complements and extends the GCSE Mathematics course and covers topics such as calculus. Pupils who do not study either of the Additional Mathematics qualifications will still be able to take Maths at A Level.

Key Stage Four Curriculum Overview
Year 1 GCSE

 Name of topic Key Content of the Topic Assessment points HT 1 Revision of 2D shapes, real life graphs, circles, Properties of 2D shapes, area and perimeter, nets, plans and elevations, volume and surface area of prisms and cylinders, arc length and sector area. Interpreting real life graphs including speed-time and distance-time graphs. HT 2 ratio and proportion, quadratics, basic probability, standard form Ratio and proportion, changing the subject, expanding and factorising quadratic expressions, substitution, solving linear equations.  Calculating probabilities, relative frequency, sample space diagrams, combinations of events and standard form. HT 3 Transforming shapes, constructions, financial Maths, units of measure Reflection, rotation, translation, enlargement of 2D shapes, constructions and loci, using percentages to solve financial problems, converting between units of measure, units of area and volume Termly assessment HT 4 Surds, averages, indices, polygons, similarity, congruency Surds, calculating and using averages, laws of indices, fractional and negative indices, properties of polygons, similar and congruent triangles and ratio in area and volume. HT 5 Pythagoras’ theorem, trigonometry, further probability Right angled trigonometry, Pythagoras’ theorem, tree diagrams, venn diagrams, conditional probability Trial Exam HT 6 3D shapes, graphs, simultaneous equations Surface area and volume of spheres, pyramids, cones and composite solids, sketching graphs of functions (quadratic, cubic, reciprocal, linear), solving quadratic equations by factorising and graphically, solving simultaneous equations algebraically and graphically.

Year 2 GCSE

 Name of topic Key Content of the Topic Assessment points HT 1 Further quadratics, algebraic fractions Expanding two or more brackets, factorising simple quadratic expressions, rearranging more complicated formulae, algebraic proof, simplifying algebraic fractions, adding, subtracting, multiplying, dividing algebraic expressions HT 2 Functions, further trigonometry, growth and decay Function notation, composite and inverse functions, apply Pythagoras’ theorem and trigonometry to 3D shapes, graphs of exponential functions, growth and decay problems. Trial Exam HT 3 Circle theorems, further equations and graphs, proportion Circle theorems, solving quadratic equations by factorising, quadratic formula, completing the square.  Completing the square to deduce turning points, solving quadratic simultaneous equations algebraically and graphically, direct and inverse proportion HT 4 Inequalities, vectors, trig graphs, sine and cosine rules, transforming graphs Solving linear and quadratic inequalities, graphical inequalities, trigonometric graphs, sine and cosine rule, area sine rule, transforming graphs (translation, reflection). HT 5 Numerical methods, curved graphs, curved graphs, equation of a circle Trial and improvement, iteration, calculating and interpreting the gradient of a curved graph, calculating and interpreting the area under a curved graph, using the equation of a circle. HT 6 NA GCSE exams

Additional Maths (Free standing Maths Qualification) (Year 11 top set)
Pupils will be provided with a textbook.

 Name of topic Key Content of the Topic Assessment points HT 1 Differentiation, permutations and combinations Differentiation, gradient of a curve, stationary points, probability diagrams, factorials and the product rule, permutations and combinations HT 2 Binomial distribution, exponentials and logarithms, integration The binomial distribution, exponential and logarithmic functions, reduction to linear form, equations involving exponentials, indefinite and definite integrals, area between curve and x axis, area between two curves. Trial Exam HT 3 Application to kinematics, numerical methods, Algebraic manipulation Motion in a straight line, acceleration due to gravity, variable acceleration, locating a root, iterative sequences, gradients of tangents, area under a curve, application of numerical methods, simplifying algebraic fractions, surds. HT 4 Polynomials, applications of equations, sequences, lines and circles Addition, subtraction, multiplication and division of polynomials, factor theorem, quadratic equations, application of equations and inequalities, sequences and recurrence relationships, linear and circle coordinate geometry. HT 5 Graphs, inequalities, trigonometry Linear, polynomial, exponential and trigonometric graphs, graphical linear inequalities, linear programming, sine rule, cosine rule, area sine rule, trigonometric inequalities, solving trigonometric equations, 3D trigonometry, application of trigonometry to modelling, HT 6 NA GCSE exams

Further Maths GCSE (Year 11 set 2)
Pupils will be provided with a textbook.

 Name of topic Key Content of the Topic Assessment points HT 1 Binomial expansion, algebra and number beyond the GCSE syllabus Binomial expansion, combinations, surds, indices, quadratic functions, linear functions, functions (composite, inverse), exponential functions, inequalities, simultaneous equations, factor theorem, sequences, proof. HT 2 Geometry beyond the GCSE syllabus, calculus Circle theorems, equation of a circle, geometric proof, trigonometry in 2D and 3D shapes, trigonometric identities, differentiation to find gradient of a curve, tangents and normals, increasing and decreasing functions, stationary points, application of differentiation. HT 3 Matrices Matrix algebra, transformations with matrices. GCSE exams

Recommended Revision Guides for GCSE

Collins GCSE Grade 9-1 Revision - AQA GCSE 9-1 Maths Higher All-in-One Complete Revision and Practice Harper Collins Publishers · Paperback ·ISBN 978-0-00-811250-9

Several websites have practice questions and solutions.  We recommend:

Specimen and past papers are available on STU Maths (KS4 resources folder)

Support available for GCSE and Key Stage 3 Students
6th Form mentors are available during lunchtimes in M3.  Individual members of staff will run revision classes in Year 11.  Individual teachers may also offer intervention sessions after Christmas in Year 11.