# Maths

Mathematics transcends cultural boundaries and its importance is universally recognised. It develops students’ ability to calculate, reason logically, to problem solve and handle data, all important aspects in everyday living and employment.

## Year 7 – Set 1 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Analysing and displaying data: averages, comparing using averages, two-way tables, pie charts, line graphs, bar charts (including compound/dual graphs), use <or> between two decimals (with 5s.f., and 2s.f. for negative decimals), frequency tables for continuous data, frequency diagrams, modal class, scatter graphs, correlation, line of best fit
2 Number skills: HCF and LCM of numbers less than 20, negative numbers, (+,-,x,/), index notation for squares and cubes, square and cube numbers and roots (including negative roots of a square number), divide 3digit by 2digit, BIDMAS,
3 Equations, functions and formulae: collecting like terms, simple powers simplification, construct expressions, substitution, expand single brackets, derive complex algebraic expressions from worded context
4 Fractions: order fractions, simplify- cancel fractions, express number as fraction of another, add/subtract/multiply/divide, convert between fractions and decimals, mixed numbers,
End of term test
Spring Term
5 Angles and shapes: alternate, corresponding, vertical angles; angles in a triangle and quadrilaterals, interior/exterior angles of regular polygons,
6 Decimals: place value, ordering , round to 3d.p., use <or> between two decimals (to 5s.f.), estimating, add/subtract in columns, multiply with decimals using written methods, use place value facts in multiplying, divide by decimals (convert into dividing by integer), equivalent fractions/%/decimals, order fractions by converting to decimals , find any % of a number, find % increase/decrease,
7 Equations; solve equations (with brackets and squares-find positive/negative solutions for x2), trial and improvement,
End of term test
Summer Term
8 Multiplicative reasoning: ratio- simplify, divide in a ratio; convert between area measures, unitary method,
9 Perimeter, area and volume: area of triangles, parallelograms, trapezium; volume and surface area of cuboids, Convert between cm3 , ml and litres, convert between area measures, rough conversion between metric and imperial units
10 Sequences and graphs: appreciate the infinite nature of the sets of integers, real and rational numbers, generate terms of a sequence from a term-to-term rule, generate terms of a sequence from a position-to-term, recognise arithmetic sequences, find the nth term recognise geometric sequences ; plot coordinates in 4 quadrants, midpoints, plot graphs of simple linear functions,
End of term test
End of term test

## Year 7 – Set 2/3 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Analysing and displaying data: averages, tally, use ICT to raw/present data
2 Number skills: BIDMAS, add/subtract/divide/multiple written methods, rounding, negative numbers, square and cube numbers, factors, prime, multiples
3 Expressions, functions and formulae: finding outputs of simple functions, simplifying, substitution, writing formulae
4 Decimals and measure: Order and round decimals, use measures and conversions, read scales and plot coordinates, calculate with decimals, work out perimeter and area
End of term test
Spring Term
5 Fractions: compare, simplify, add, subtract, equivalent fractions, decimals, %, find % of amounts
6 Probability: probability scale, calculate outcomes, calculate probability of an event not happening, experimental probability
7 Ratio and proportion: direct proportion, ratio, use fractions and proportion to compare ratio
End of term test
Summer Term
8 Lines and angles: identify angles and lines, properties of 2D shapes, draw triangles, solve angle problems
9 Sequences and graphs: generating sequences, nth term, coordinates in all 4 quadrants, line graphs, make connections between sequences, graphs and functions
10 Transformations: congruence, enlargemts, s.f., rotational symmetry, reflection, rotation, translation, combined transformations
End of term test
End of term test

## Year 7 – Set 4 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Analysing and displaying data: using calculator, bar charts, frequency tables, bar line graphs, mean, median , mode, range mode from bar graph,
2 Calculating: order of calculations (no brackets), simple ratio and proportion problems, calculator skills (negative, square, root…), add/subtract in columns, round to the nearest 10, approximate , 10x 10 timetables, multiply/divide integers by 10,100 and 1000, order positive and negative numbers
3 Expressions, functions and formulae: finding outputs, collecting like terms, construct expressions , substitute into worded formulae ,
End of term test
Spring Term
5 Factors and multiples: order of operations (no powers and brackets), multiples of 2,5,10,25, extend written methods(multiplication and division by one digit),divisibility of numbers, multiples and factors, recognise HCF, LCM
6 Decimals and measures: units of measure, scales, read and write whole numbers, read/write/order decimals, metric units, add/subtract decimals in columns, round positive numbers to the nearest 10,100 and 1000, round decimals to 2d.p.-money questions
7 Angles and lines: angle language: righ angle, parallel lines, (anti-)clockwise, acute , obtuse,; use protractor, sum of angles on a line and around a point
End of term test
Summer Term
8 Measuring and shapes: names of regular polygons, names of triangles, properties of squares and rectangles, perimeter and area by counting, area/perimeter of squares using formulae , line and rotation symmetry,
9 Fractions, decimals and percentages: order fraction with common denominator using diagrams, cancel fractions, equivalent fractions using diagrams, adding/subtracting fractions with common denominator, understand %, recognise equivalence of %, fractions and decimals, find simple % of whole numbers
10 Transformations: reflection, translation, rotation
End of term test
End of term test

## Year 8 – Set 1 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Factors and powers: prime factor decomposition, HCF and LCM, giving answers as powers, index laws, know giga-mega-kilo as powers of 10, BIDMAS (including fraction questions), rounding to s.f., estimating
2 Working with powers: simplifying expressions, collecting like terms (including terms with powers x3+4×3=5×3), expanding brackets, factorising, constructing equations
3 3 2D shapes and 3D solids: plans and elevations, nets, surface area and volume of right prisms, cylinders; circumference and area of a circle, Pythagoras’ theorem (including in coordinate geometry)
4 Real-life graphs: direct proportion graphs, recognise graphs with constant rates of change, time-distance graphs,
End of term test
Spring Term
5 Transformations: reflection (including equation of a line of reflection), translation (column vector), rotation, enlargement (with centre, including negative and fractional s.f.), complex combinations of transformations, reflection symmetry on 3D, area nad volume after enlargement
6 Fractions, decimals and percentages: know standard recurring decimals as fractions, convert recurring decimal to fraction, inverse operations, Calculate percentage change, using the formula ‘actual change/original amount x 100’ , compound interest and repeated percentage change
7 Constructions and loci: constructing triangles (SAS, ASA,SSS), nets of 3D shapes, perpendicular bisector, bisector of an angle, locus- paths of points moving by a rule, regions that fit a rule
End of term test
Summer Term
8 Probability: probability scale, mutually exclusive events, know that probabilities add to 1 and solve problems using it, find probability of an event not happening, relative frequency, probability trees-independent and dependent events
9 Scale drawings and measures: maps and plans, scales, solve geometric problems using side and angle properties of shapes (and parallel/perpendicular lines), bearings, congruency, similarity
10 Graphs: linear function graphs y=mx+c- plotting, gradient, gradients of parallel and perpendicular functions, inverse functions, graphs of functions and inverse functions- (reflection in the y=x), direct and inverse proportion-graphically and algebraically,
End of term test
End of term test

## Year 8 – Set 2/3 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Number: dividing £ by two digit number, negative numbers, significant figures, cubes/roots/squares…,prime factors, HCF and LCM
2 Area and volume: area of triangle, parallelogram, trapezium…,volume of cuboids, volume of compound shapes made of cuboids, surface area of cuboids, converting between metric and imperial measures
3 Statistics; graphs and charts: mean from frequency table, pie charts, complex two way tables; find mean, mode, median and range in stem and leaf diagrams; find modal class
4 Expressions and equations: simplify expressions with powers, expand single brackets, solve simple equations, construct equations, substitute into one step formula
End of term test
Spring Term
5 Real life graphs: draw and interpret line graphs, conversion graphs, time-distance graphs
6 Decimals and ratio: Divide and multiple with decimals (2d.p.), divide in ratio, order positive/negative numbers including decimals, rounding, simplifying decimal ratio, add/subtract using column method,
7 Lines and angles: alternate/corresponding angles, quadrilateral-properties, sum of interior/exterior angles of polygons, setting 10equations for solving angle problems
End of term test
Summer Term
8 Calculating with fractions: add, subtract, multiple, divide, mixed numbers
9 Straight line graphs: plot graphs, find midpoints, find gradients, direct proportion problems, write equations of a line as y=mx+c
10 Percentages, decimals and fractions: order fractions by converting to decimals/equivalent fractions, convert between decimals, percentages and fractions, write a number as a % of another number, find % increase/decrease, solve % problems
End of term test
End of term test

## Year 8 – Set 4 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Number properties and calculations: simple BIDMAS , multiplying two and three digit numbers- column method (table), negative numbers (+,-,/,x), ratio-notation, simplify, equivalent, simple problems, connection between ratio and fractions, direct proportion-simple context, unitary method
2 Shapes and measures in 3D: names of 3D shapes, nets, faces/edges and vertices, cuboids-properties, 3D sketches and isometric drawings, construct nets using ruler and compass, surface area of cubes, volume of cuboids by counting cubes, formulae for volume of cuboids, convert cm3 to litres
Half term test
3 Statistics: experiments to complete data collection sheet, questionnaire, interpret data from compound and comparative bar charts, frequency tables-constructing, drawing graphs, construct compound bar charts, interpret pie charts
4 Expressions and equations: collecting like terms, outputs/inputs of functions expressed in words and symbols, inverse operations, construct functions-number machines, solve simple linear equations, BIDMAS, expand single brackets
End of term test
Spring Term
5 Decimal calculations: adding, subtracting, halving, multiply by whole number and decimals, round and order, divide in ratio where the answer is a decimal
6 Angles: use protractor, angles around a point, in a triangle, vertically opposite, interior and exterior angles; constructing triangles using ruler and protractor (SAS and ASA), investigate triangles using Pythagoras’ theorem
Half term test
7 Number properties: know square numbers beyond 10×10, square root, use calculator for powers and roots, BIDMAS-more complex, index notation, LCM and HCF, prime factor decomposition, estimates square roots (eg root of 130 is more than 11, less than 12)
End of term test
Summer Term
8 Sequences: generating-from practical context, from term to term rule, use words : finite, infinite, descending and ascending, describe simple integer sequences, square and triangular numbers, recognise and generate simple geometric sequence, find a term given its position, begin to use nth term
9 Fractions and percentages: compare fractions using diagrams, fractions of quantities, equivalent fractions, add/subtract fractions with common denominator, halving/doubling fractions, simplify fractions, express one number as a fraction of another, multiply fraction by integer, find simple %, express one number as % of another
Half term test
10 Probability: use probability vocabulary, probability scale, know that probabilities add to 1, know the probability of event not happening, estimate probabilities based on experimental data, use probability to compare choices
End of term test
End of term test

## Year 9

### Summary of topics

Unit Key Topics
Autumn Term
1 Powers and Roots: Decimal approximations of roots, understanding standard form, comparing numbers in standard form, substituting into formulae/expressions
2 Quadratics: Simplify algebraic expressions, expanding two or more brackets, generate terms of sequence from term-to-term rule or from nth term, recognise arithmetic and geometric sequences, find nth term
3 Inequalities, equations and formulae: Understand concept of expressions, equations, inequalities, terms, factors. Change subject of a formula, solve linear equations (one variable)
4 Collecting and analysing data: Using a calculator, interpret and compare graphs (discrete, continuous, grouped), use measures of spread
End of term test
Spring Term
5 Multiplicative Reasoning: direct and inverse proportion, area and perimeter of circles
6 Non-linear graphs: Graphs of quadratic functions, approximate solutions from graphs, reciprocal graphs
7 Accuracy and measures: solving problems about speed, price, density, round to dp or sf, estimation by rounding
End of term test
Summer Term
8 Graphical solutions: Understand and use concept of expressions, equations, inequalities, terms, factors. Estimate values from linear graphs, approximate solutions to linear simultaneous equations graphically, solve quadratics graphically
9 Trigonometry: SohCahToa, solve problems in 3D
10 Mathematical Reasoning: Proofs
End of term test
End of term test

## Year 9 – Set 2/3 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Indices and standard form: apply index form, BIDMAS, write and order numbers in standard form…
2 Expressions and formulae: simplify, expand brackets, rearrange formulae
3 Data: collecting data, sample size, data collection sheet, tables for recording data, averages-mean, mode, median, range, scatter graphs
4 Multiplicative reasoning: compound measures- units-speed, unit pricing, density; % change, enlarge shapes
Spring Term
5 Constructions: angles in parallel lines, plans and elevations, constructions (perpendicular…). Loci
6 Equations, inequalities and proportionality (simultaneous equations, trial and improvement)
7 Circle (parts, area, circumference), Pythagoras and Prisms (surface area); upper and lower bounds
Summer Term
8 Sequences and graphs: nth term, generate sequence; find gradient, y=mx+c, gradient of parallel and perpendicular lines, sim.equations on a graph; distance-time problems, graphs of cube functions
9 Probability: two way tables, mutuallhy exclusive events-P(S)=1,independent events p(Aand B)=p(A) x P(B), tree diagrams
10 Comparing shapes: similar shapes, congruency, dividing lines in a given ratio, trigonometry in right angle triangle

## Year 9 – Set 4 SOW

### Summary of topics

Unit Key Topics
Autumn Term
1 Number calculations: four operations, positive and negative improper fractions and mixed numbers, BIDMAS, powers of 2,3,4 and 5
2 Sequences and equations: Use algebraic notation , generate terms of sequence from term-to-term rule and nth term, recognise arithmetic sequences
Half term test
3 Statistics: Interpret graphs (discrete, continuous, grouped), comparing using averages and spread, construct/interpret frequency tables, bar charts (grouped and ungrouped) and pie charts, describing mathematical relationship between two variables, illustrate using scatter graphs
4 Fractions, decimals and percentages: use terminating decimals and their fractions interchangeably, express quantities as percentages, percentages as decimals, use percentages >100%, percentage increase and decrease, reverse percentages, simple interest
End of term test
Spring Term
5 Geometry in 2D and 3D: Volume of cuboids, use scale diagrams and maps, perpendicular bisector of a line segment, perpendicular at a given point, bisecting an angle, draw and describe parallel and perpendicular lines and regular polygons. Parallel, alternate and corresponding angles, angle sum in a triangle, find angle sum in any polygon, Pythagoras’ Theorem
6 Algebraic and real-life graphs: use graphs to model real-life situations, use all four quadrants, sketch line graphs, reduce equation to y = mx + c and use to find gradient/intercepts, find gradients/intercepts from graph
Half term test
7 Multiplicative reasoning: units of mass, length, time, money, etc, divide into ratios, best buy problems, direct and inverse proportion, convert between area measures
End of term test
Summer Term
8 Algebraic and geometric formulae: use standard mathematical formulae, change subject of formulae, forming equations, solve linear equations, substitution, use formulae for perimeter and area problems (including for circles and composite shapes )
9 Probability: Random probability experiments, 0-1 probability scale, two way tables for discrete data, tree diagrams
Half term test
10 Polygons and transformations: scale factors, congruent and similar triangles, rotations, englargements, angles
End of term test
End of term test

## Key Stage 4

On the basis of KS3 results and teacher recommendation, all students are prepared for GCSE Mathematics at the appropriate level with the final decisions regarding tier of entry being made during the first half of Year 11.

Our programme is designed to develop students’ mathematical skills by incorporating a wide range of activities, which deliver a rich mathematical experience. This will build confidence and has a particular focus on problem-solving and functional skills.

At the end of Year 11, there are three equally weighted written papers, one without a calculator and two with a calculator.

### Outline of topics

• Number
• Algebra
• Geometry
• Measures and Statistics
• Probability
• Shape
• Space
• Data handling

## Key Stage 5

Whilst this course builds at a higher level on many topics studied in the Higher Tier GCSE course it also introducing some more complex areas of Mathematics, which will stimulate our more mathematically able students.

### Year 12

Students study three modules.

Core 1 and Core 2 focus mainly on algebra : coordinate geometry : trigonometry : differentiation : integration : sequences : logarithms : exponentials

Probability and Statistics 1 covers statistical diagrams : measures of location and spread : correlation and regression : probability theory : combinations : permutations : discrete probability distributions

### Year 13

Students study a further three modules:

Core 3 and Core 4 which build on the work covered in Core 1 and 2, Mechanics 1 covers equations of motion : forces and equilibrium : momentum

More detailed course information is on the Portal.

There is also an opportunity for able mathematicians to study AS/A2 Further Maths.

Year 12 students study three modules:

Decision 1 covers algorithms, linear programming, critical path analysis and simulation. Numerical Methods covers a range of strategies to solve equations and problems for which an analytical solution cannot be found.

FPI covers matrices, complex numbers, curve sketching, roots of polynomials, proof by induction and summation of series.

Year 13 students study a further 3 modules:

Statistics 2 covers hypothesis testing, Poisson distribution, normal distribution, correlation and regression.

Mechanics 2 covers friction, moments centre of gravity, impulse & momentum and work, energy & power.

FP2 covers additional work on matrices and complex number as well as advanced calculus, polar curves and hyperbolic functions.