## Maths

### Mathematics Curriculum

Aim

Students will cover a variety of mathematical topics linked to number, algebra, shape & space and data handling aimed at their current level of ability. They will develop their problem solving skills within a wide range of contexts. They will also use their mathematics in a number of real life situations.

Topics covered

Please note that the Kangaroo stages are not numbered with any connection to previous key stage levels or the new GCSE grading system.

Students will follow either Pathway 1, Pathway 2 or a combination of the two depending on the group they are in.

Pathway 1

Kangaroo Stage 7

Term 1

Prime factorisation, powers and roots, types of number, linear sequences, ordering numbers (including negative numbers, fractions and decimals), place value, four operations (including negative numbers and decimals), using brackets, inverse operations, use conventional terms, labelling and notation with shapes, draw diagrams from written description, properties of 3D shapes, properties of quadrilaterals and triangles.

Term 2

Simple algebraic concepts and terminology, simplifying algebra (including brackets), functions, substitution, fractions and percentages, ratio, number sequences, units of measure, changing from one measurement to another, measuring angles and lengths.

Term 3

Angle rules, calculate with fractions, calculate with percentages, solving equations, area, perimeter and volume (and related formulae), rounding and estimation, coordinates and axes, simple graphs, transformations of shapes, constructing and interpreting diagrams, tables and charts from data, averages and measures of spread.

Pathway 2

Kangaroo Stage 6

Term 1

Place value, Ordering and writing numbers, negative numbers, factors, multiples and primes, four operations including division, BIDMAS, names and properties of 2D shapes, tessellations, 3D shapes (including nets), angles, parts of a circle, simple formulae.

Term 2

Fractions and the link with percentages and decimals, proportion, similar shapes and enlargement, sequences, metric conversions, imperial and metric conversions, angle properties, calculating with fractions, percentages and decimals.

Term 3

Equations, area, perimeter and volume, rounding, estimating calculations, coordinates, translating and reflecting shapes on a coordinate grid, pie charts and line graphs, averages (the mean).

Homework

Homework is set once per week and students should be spending 20-40 minutes completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. Each student will be assessed formally at least three times a year.

### Mathematics Curriculum

Aim

Students will cover a variety of mathematical topics linked to number, algebra, shape & space and data handling aimed at their current level of ability. They will develop their problem solving skills within a wide range of contexts. They will also use their mathematics in a number of real life situations.

Topics covered

Please note that the Kangaroo stages are not numbered with any connection to previous key stage levels or the new GCSE grading system.

Students will follow either Pathway 1, Pathway 2 or a combination of the two depending on the group they are in.

Pathway 1

Kangaroo Stage 8

Term 1

Prime factorisation, rounding off, standard form, calculations (including negative numbers, fractions and decimals), BIDMAS, powers and roots, measuring lines and angles, using scale and bearings, similar shapes, views of 3D shapes, probability, algebraic notation,  brackets in algebra, indices rules, substitution, rearranging formulae.

Term 2

The link between fractions, decimals and percentages, ratio, compound measure, linear sequences, angle rules, calculations with percentages, decimals and fractions, equations.

Term 3

Area, perimeter and volume, Graphs (equations and real life graphs), equally likely events in probability, types of data and associated graphs and charts, averages and measures of spread.

Pathway 2

Kangaroo Stage 7

Term 1

Prime factorisation, powers and roots, types of number, linear sequences, ordering numbers (including negative numbers, fractions and decimals), place value, four operations (including negative numbers and decimals), using brackets, inverse operations, use conventional terms, labelling and notation with shapes, draw diagrams from written description, properties of 3D shapes, properties of quadrilaterals and triangles.

Term 2

Simple algebraic concepts and terminology, simplifying algebra (including brackets), functions, substitution, fractions and percentages, ratio, number sequences, units of measure, changing from one measurement to another, measuring angles and lengths.

Term 3

Angle rules, calculate with fractions, calculate with percentages, solving equations, area, perimeter and volume (and related formulae), rounding and estimation, coordinates and axes, simple graphs, transformations of shapes, constructing and interpreting diagrams, tables and charts from data, averages and measures of spread.

Homework

Homework is set once per week and students should be spending 20-40 minutes completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. Each student will be assessed formally at least three times a year.

### Mathematics Curriculum

Aim

Students will cover a variety of mathematical topics linked to number, algebra, shape & space and data handling aimed at their current level of ability. They will develop their problem solving skills within a wide range of contexts. They will also use their mathematics in a number of real life situations.

Topics covered

Please note that the Kangaroo stages are not numbered with any connection to previous key stage levels or the new GCSE grading system.

Students will follow either Pathway 1, Pathway 2 or a combination of the two depending on the group they are in.

Pathway 1

Kangaroo Stage 9

Term 1

Calculations with roots and indices, standard form, rounding and accuracy, constructions, loci, views of 3D shapes, equations and identities, simplifying expressions, proof, create expressions and formulae, proportion, congruence and similarity, compound units.

Term 2

Sequences, inequalities, circles and cylinders, Pythagoras Theorem, similar triangles, geometric proof.

Term 3

Equation of a straight line, graphs of various functions, solve kinematic problems, simultaneous equations, probability using tree diagrams, relative frequency, interpret and construct data graphs and charts (e.g. correlation).

Pathway 2

Kangaroo Stage 8

Term 1

Prime factorisation, rounding off, standard form, calculations (including negative numbers, fractions and decimals), BIDMAS, powers and roots, measuring lines and angles, using scale and bearings, similar shapes, views of 3D shapes, probability, algebraic notation,  brackets in algebra, indices rules, substitution, rearranging formulae.

Term 2

The link between fractions, decimals and percentages, ratio, compound measure, linear sequences, angle rules, calculations with percentages, decimals and fractions, equations.

Term 3

Area, perimeter and volume, Graphs (equations and real life graphs), equally likely events in probability, types of data and associated graphs and charts, averages and measures of spread.

Homework

Homework is set once per week and students should be spending 20-60 minutes completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. Each student will be assessed formally at least three times a year.

### MATHEMATICS CURRICULUM

Aim

Students will cover a variety of mathematical topics linked to number, algebra, shape & space and data handling aimed at their current level of ability. They will develop their problem solving skills within a wide range of contexts. They will also use their mathematics in a number of real life situations.

We follow the new Edexcel 9-1 syllabus.

Topics covered

Please note that the Kangaroo stages are not numbered with any connection to previous key stage levels or the new GCSE grading system.

Students will follow either Pathway 1, Pathway 2, Pathway 3 or a combination of two depending on the group they are in.

Pathway 1 (Higher)

Kangaroo Stage 10

Term 1

Enlargement, similarity, combining transformations, recurring decimals to fractions, exponential growth and decay, trigonometry, conditional probability, iteration, simultaneous equations, powers and roots, surds, upper and lower bounds.

Term 2

Algebraic fractions, brackets in algebra, inverse functions, proportion, sampling, cumulative frequency graphs, box plots, interquartile range, quadratic and geometric sequences.

Term 3

Inequalities, surface area and volume, similarity with length, area and volume, circle theorems, graphs, quadratic equations, gradient of perpendicular lines, equation of a circle and its tangent, vectors.

Pathway 2 (Foundation)

Kangaroo Stage 9

Term 1

Calculations with roots and indices, standard form, rounding and accuracy, probability using tree diagrams, relative frequency, constructions, loci, views of 3D shapes, equations and identities, simplifying expressions, proof, create expressions and formulae, proportion, congruence and similarity, compound units.

Term 2

Sequences, inequalities, interpret and construct data graphs and charts (e.g. correlation), circles and cylinders, Pythagoras Theorem.

Term 3

Similar triangles, geometric proof, equation of a straight line, graphs of various functions, solve kinematic problems, simultaneous equations.

Pathway 3 (Foundation)

Kangaroo Stage 8

Term 1

Prime factorisation, rounding off, standard form, calculations (including negative numbers, fractions and decimals), BIDMAS, powers and roots, probability, measuring lines and angles, using scale and bearings, similar shapes, views of 3D shapes, algebraic notation,  brackets in algebra, indices rules, substitution, rearranging formulae.

Term 2

The link between fractions, decimals and percentages, ratio, compound measure, linear sequences, equations, types of data and associated graphs and charts, area, perimeter and volume.

Term 3

Angle rules, calculations with percentages, decimals and fractions, graphs (equations and real life graphs), equally likely events in probability, averages and measures of spread.

Homework Homework is set once a week and students should be spending 20-70 minutes completing it.
Assessment All students are being regularly assessed by their teachers in lessons and from homeworks. In Year 10 each student will be assessed formally at least three times a year, once at the end of the autumn term, once in March and in the summer term. This final assessment will be as close as possible to a full GCSE paper.

### MATHEMATICS CURRICULUM

Aim

We follow the new Edexcel 9-1 syllabus.  Students will cover a variety of mathematical topics linked to number, algebra, shape & space and data handling aimed at their current level of ability. They will develop their problem solving skills within a wide range of contexts. They will also use their mathematics in a number of real life situations.

Topics covered

Please note that the Kangaroo stages are not numbered with any connection to previous key stage levels or the new GCSE grading system.

Students will follow either Pathway 1, Pathway 2, Pathway 3 or a combination of two depending on the group they are in.

Pathway 1 (Higher)

Kangaroo Stage 11

Term 1

Further trigonometry, further surds, completing the square, iteration, enlargement, composite functions, proportional equations, geometric sequences, quadratic inequalities, further simultaneous equations

Term 2

Exponential and trigonometric graphs, transformation of graphs, histograms, quadratic graphs, rates of change, vectors.

Pathway 2 (Foundation)

Kangaroo Stage 10 lite

Term 1

Trigonometry, powers and roots, simultaneous equations, enlargement and similarity, quadratic expressions, proportional equations

Term 2

Geometric sequences, surface area & volume, quadratic graphs, percentage growth & decay, quadratic equations, sampling, vectors.

Pathway 3 (Foundation)

Kangaroo Stage 9

Term 1

Calculations with roots and indices, standard form, rounding and accuracy, constructions, loci, views of 3D shapes, equations and identities, simplifying expressions, proof, create expressions and formulae, proportion, congruence and similarity, compound units.

Term 2

Sequences, inequalities, circles and cylinders, Pythagoras Theorem, similar triangles, geometric proof, interpret and construct data graphs and charts (e.g. correlation)

Homework

Homework is set once per week and students should be spending 20-70 minutes completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. In Year 11 each student will do at least two mock papers (which will be actual GCSE past papers – one non calculator and two calculator each time) throughout the year, one in November, one in the new year. There is no coursework or controlled assessment.

### Mathematics

Aim

We follow the Mathematics B syllabus from MEI.  Students will develop their ability to work at a higher level beyond GCSE Mathematics covering key pure mathematical concepts in depth such as trigonometry, differentiation and integration. They will continue to develop their problem solving skills and ability to explain themselves in a logical mathematical manner. They will also study mechanics and statistics learning about mathematical modelling and how mathematics has practical uses in other subjects.

Topics covered

Pure Maths – Problem Solving, Surds & Indices, Quadratic Functions, Equations & Inequalities, Coordinate Geometry, Trigonometry, Polynomials, Graphs & Transformations, The Binomial Expansion, Differentiation, Integration, Vectors, Exponentials & Logarithms.

Mechanics – Kinematics, Forces & Newton’s Laws, Variable Acceleration.

Statistics – Collecting & Interpreting Data, Probability, The Binomial Distribution, Statistical Hypothesis Testing.

Homework

Homework is set at least three times per week and students should be spending 3-4 hours completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. They will have at least one assessment made up of past paper questions in the each term covering all of the content so far covered.

### Mathematics

Aim

We follow the Edexcel Mathematics syllabus.  Students will develop their ability to work at a higher level beyond GCSE Mathematics covering key pure mathematical concepts in depth such as trigonometry, differentiation and integration. They will continue to develop their problem solving skills and ability to explain themselves in a logical mathematical manner. On the applied course they will choose to study mechanics or statistics and they will learn about mathematical modelling and how mathematics has practical uses in other subjects.

Topics covered

Students must do C3 and C4. They can choose one other applied module out of S2 or M2.

C3 Algebra & functions, Trigonometry, Exponentials & logarithms, Differentiation, Numerical methods.

C4 Algebra and functions, Coordinate geometry in the (x.y) plane, Sequences & series, Differentiation, Integration, Vectors

M2 Kinematics of a particle moving in a straight line, Centre of mass, Work & energy, Collisions, Statics of rigid bodies.

S2 The Binomial and Poisson distributions, Continuous random variables, Continuous distributions, Hypothesis tests.

Homework

Homework is set at least three times per week and students should be spending 3-4 hours completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. They will have at least one assessment made up of past paper questions in the autumn term. They will then do a C3 and applied module mock paper in both January and March. They will also do a C4 mock paper in April or May. There is no coursework or controlled assessment.

### Further Mathematics

Aim

We follow the Mathematics B syllabus for MEI.  Students will develop their ability to work at a higher level beyond GCSE Mathematics and then beyond A level Mathematics covering key pure mathematical concepts in depth such as trigonometry, differentiation,  integration, proof, complex numbers, matrices and vectors. They will continue to develop their problem solving skills and ability to explain themselves in a logical mathematical manner. On the applied course they will study mechanics, statistics and decision and they will learn about mathematical modelling and how mathematics has practical uses in other subjects.

Topics covered

Firstly students will cover the AS Mathematics syllabus (see Year 12 Mathematics for this content). Secondly they will cover the A level Mathematics syllabus (content below).

Pure Maths – Proof, Trigonometry, Sequences & Series, Functions, Differentiation, Trigonometric Functions, Algebra, Trigonometric Identities, Further Differentiation, Integration, Parametric Equations, Vectors, Differential Equations, Numerical Methods.

Mechanics –  Kinematics, Forces In Motion, Moments Of Forces, Projectiles, A Model For Friction.

Statistics – Probability, Statistical Distributions, Statistical Hypothesis Testing.

Homework

Homework is set at least two times per week and students should be spending 3-4 hours completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. They will have at least one assessment made up of past paper questions in the each term covering all of the content so far covered.

### Further Mathematics

Aim

We follow the Edexcel Mathematics syllabusStudents will develop their ability to work at a higher level beyond GCSE Mathematics and then beyond A level Mathematics covering key pure mathematical concepts in depth such as trigonometry, differentiation,  integration, proof, complex numbers, matrices and vectors. They will continue to develop their problem solving skills and ability to explain themselves in a logical mathematical manner. On the applied course they will study mechanics, statistics and decision and they will learn about mathematical modelling and how mathematics has practical uses in other subjects.

Topics covered

Students do the Further Mathematics A level in Year 13 comprising of FP1, FP2, FP3, S1, D1 and a choice of S2 or M3 modules.

FP1 Complex Numbers, Numerical solutions of equations, Coordinate systems, Matrix algebra, Series, Proof.

FP2 Inequalities, Series, Further complex numbers, First order differential equations, Second order differential equations, Maclaurin & Taylor series, Polar coordinates.

FP3 Hyperbolic functions, Further coordinate systems, Differentiation, Integration, Vectors, Further matrix algebra.

D1 Algorithms, Algorithms on graphs, The route inspection problem, Critical path analysis, Linear programming, Matchings.

M2 See above

S2 See above

Homework

Homework is set at least two times per week and students should be spending 3-4 hours completing it.

Assessment

All students are being regularly assessed by their teachers in lessons and from homeworks. Once they finish each one of the six modules, they will take a mock past paper in this module a few weeks after . There is no coursework or controlled assessment.