As a Maths Department we aim for our students to become fluent in the fundamentals of mathematics. We want them to develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. Through varied and frequent practice with increasingly complex problems, we want our students to be able to reason mathematically by following a line of enquiry, conjecturing relationships, develop arguments, justify proofs and be able to use mathematical language to be able to solve mathematical problems. We want our students to become confident to use mathematics in everyday situations in order that they can solve problems which are presented to them and to know the skill of being able to break down problems into a series of simpler steps, and to learn the skill of persevering when seeking solutions. Our aim is for our students to be able to develop a strong knowledge and skills base to be able to progress to the next key stage, as well as to develop key transferable skills which they can use in other subjects. We encourage our students to experience different extracurricular opportunities and to discuss mathematics outside of the classroom situation, and to also have the opportunity to become peer mentors so that they can practise explaining mathematical concepts to younger students.
The Mathematics Faculty has fully implemented the Year 7, 8 & 9 national curriculum, aiming to achieve the objectives for able students. There is a strong emphasis on the development of mental and oral Mathematics skills, with a direct interactive teaching method. Calculators are used where appropriate, and some topics involve the use of computers. Investigation work is incorporated into the course, and the more able are encouraged with homework.
Year 7, 8 & 9 students are entered for both the Junior and Intermediate UK Mathematics Trust (UKMT) challenges with notable successes each year.
The Faculty also runs a thriving lunchtime Mathematics support club, and enters a Year 7, 8 & 9 team in the UKMT Team Challenge held at Manchester University.
Year 7 students are taught in forms, before setting is introduced in Year 8 (selection for Year 8 sets will be based on Year 7 examination results, AfL test results and teacher recommendations).
We aim to help students gain confidence in their abilities, to work on their own or to ask for help as appropriate, to persevere with problems, and above all, to enjoy their Mathematics.
Additionally, Computing is delivered within Year 7, 8 & 9 Mathematics. They receive 1 hour of Computing each week.
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Year 7:
Assessments: October, December, March, June 
Unit 1: Analysing and Displaying data 
 Twoway tables and bar charts
 Averages and range from frequency tables
 Discrete and continuous data. Averages from grouped data
 Line graphsplot and interpret
 Pie chartsdraw and interpret
 Scatter graphs and correlation

Unit 2: Number Skills 
 HCF, LCM and prime numbers
 Negative numbers  add and subtract
 Negative numbers  multiply and divide
 Multiplying (written and mental).
 Dividing using bus stop method
 Powers and roots  square and cube
 Order of operations

Unit 3: Equations, Functions and Formulae 
 Simplifying expressions  addition and subtraction
 Simplifying expressions  multiplying and dividing
 Forming algebraic expressions
 Substitution
 Writing formulae
 Expanding single brackets
 Factorising expressions

Unit 4: Fractions 
 Simplify fractions, write one number as a fraction of another, fractions of amounts
 Equivalent fractions, decimals and percentages.
 Fraction to a decimal using bus stop method
 Add and subtract fractions
 Multiplying and dividing fractions
 Improper to mixed number. Working with mixed numbers, including time as a mixed number

Unit 5: Angles and Shapes 
 Angles in parallel lines
 Triangles properties and angles
 Quadrilaterals properties and angles
 Interior and exterior angles of polygons

Unit 6: Decimals 
 Ordering and rounding decimals
 Add and subtract decimals
 Multiplying decimals
 Dividing decimals
 Harder equivalent fractions, decimals and percentages
 Percentage increase and decrease (with and without a calculator)
 Reverse percentages

Unit 7: Equations 
 Solving onestep equations
 Solving twostep equations
 Forming and solving equations
 Solve equations with brackets and unknowns on both sides
 Trial and improvement

Unit 8: Multiplicative Reasoning 
 Convert metric and imperial units
 Simplify ratio (including a ratio expressed as a decimal or fractions
 Sharing in a given ratio
 Proportion
 Simple direct and inverse proportion word problems
 Unitary method to solve ratio and proportion problems

Unit 9: Perimeter, area and volume 
 Area of triangles and parallelograms
 Area of trapeziums
 Perimeter and area of compound shapes
 Nets and properties of 3D solids
 Surface area of cubes and cuboids
 Volume and units of cubes and cuboids
 Convert metric measures of area and volume

Unit 10: Sequences and graphs 
 Sequences: termtoterm rule and missing terms
 The nth term
 Pattern sequences
 Coordinates and finding the midpoint of a line segment
 Horizontal and vertical straightline graphs
 Plot straight lines using a table of values

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Year 8
Assessments: October, December, March, June 
Unit 1: Factors and powers 
 Prime factor decomposition
 Using Venn diagrams to find LCM and HCF
 Laws of indices
 Powers of 10
 Rounding to significant figures

Unit 2: Working with powers 
 Simplifying expressions involving powers and brackets
 Understand the meaning of an identity
 Expanding and factorising expressions
 Substitution
 Form and solve equations

Unit 3: 2D Shapes and 3D Shapes 
 Plans and elevations
 Surface area of prisms
 Volume of prisms
 Circumference of a circle
 Area of a circle
 Volume of a cylinder
 Surface area of a cylinder
 Pythagoras finding the longer side
 Pythagoras finding the shorter side

Unit 4: Real life graphs 
 Recognise direct proportion
 Interpreting graphs
 Draw distancetime graphs
 Interpret distancetime graphs
 Rates of change and reallife graphs
 Misleading graphs

Unit 5: Transformations 
 Translations and reflections
 Rotations
 Enlargements
 Negative and fractional enlargements
 Combining transformations
 Find the perimeter and area of 2D shapes after enlargements
 Find the volume of 3D solids after enlargements

Unit 6: Fractions, decimals and percentages 
 Change a recurring decimal to a fraction
 Percentage increase and decrease (with and without a calculator)
 Reverse percentages
 Percentage change
 Repeated percentages (compound interest)

Unit 7: Constructions and Loci 
 Draw triangles accurately using a ruler and protractor.
 Draw diagrams to scale
 Construct triangles using a ruler and compasses
 Construct nets of 3D solids using a ruler and compasses
 Perpendicular bisector
 Angle bisector
 Loci

Unit 8: Probability 
 Calculate and compare probabilities
 Mutually exclusive events
 Estimating probability
 Experimental probability
 Sample space diagrams and Venn diagrams
 Tree diagrams

Unit 9: Scale drawings and measures 
 Maps and scale
 Bearings
 Scale drawings
 Rules of congruency
 Similar shapes
 Solving geometry problems

Unit 10: Graphs 
 Plot straight lines using a table of values
 Straight line graphs gradient and y intercept
 Parallel and perpendicular lines
 Inverse functions
 Nonlinear graphs

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Year 9
Assessments: October, December, March, June 
 Reciprocals
 Rules of indices
 Negative indices and powers of fractions
 Standard form
 Calculating with standard form
 Fractional indices
 Simplifying surds
 Problem solving with surds

Unit 2: Quadratics 
 Arithmetic sequences
 Quadratic sequences
 Expanding single and double brackets
 Factorising quadratics
 Solving quadratics

Unit 3: Inequalities, equations and formulae 
 Representing inequalities on a number line
 Solving linear inequalities
 Negative and zero indices
 Solve complex equations
 Changing the subject of a formula
 Change algebraic fractions to equivalent fractions
 Solving equations with fractions

Unit 4: Collecting and analysing data 
 Data collection sampling and data sources
 Frequency polygons
 Averages from frequency tables and grouped data
 Averages from grouped data and draw conclusions from tables and charts
 Cumulative frequency graphs
 Draw and interpret box plots
 Draw histograms
 Interpret histograms

Unit 5: Multiplicative reasoning 
 Direct proportion
 Inverse proportion
 Area and circumference of circles
 Arcs and sectors of circles

Unit 6: Nonlinear graphs 
 Plot quadratic graphs using a table of values
 Sketch quadratic graphs from their equation
 Plot cubic graphs using a table of values
 Reciprocal graphs

Unit 7: Accuracy and measures 
 Problems involving rates of change
 Density and pressure
 Upper and lower bounds
 Calculating with bounds

Unit 8: Graphical solutions 
 Simultaneous equations
 Straight line graphs gradient and y intercept
 Find the equation of a line between two points
 Complex simultaneous equations
 Solve simultaneous equations by drawing graphs
 Solving linear inequalities graphically

Unit 9: Trigonometry 
 Tan ratio
 Sine ratio
 Cos ratio
 Use trigonometry to find missing angles
 Use trigonometry to find missing sides
 Trigonometric graphs

Unit 10: Mathematical reasoning 
 Explain, show and justify a mathematical solution
 Modelling draw graphs to solve mathematical problems
 Understand how to use a mathematical proof
 Present a logical argument using algebra

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