Mathematics

Department vision

Mathematics is important in our everyday life, allowing us to make sense of the world around us and to manage our lives. Using mathematics enables us to model real-life situations and make connections and informed predictions. It equips us with the skills we need to interpret and analyse information, simplify and solve problems, assess risk and make informed decisions.”

We aim to encourage students to develop lively, creative and enquiring minds.  To be capable of independent thought and to enjoy Mathematics through problem solving and perseverance.  To appreciate that Mathematics is inherent to everyday life.

Year 7

 

Learning Outcomes 

Term 1 and 2   

  • Primes, Factors & Multiples 

  • HCF & LCM 

  • Negative Numbers 

  • Multiplication 

  • Index Notation 

  • Estimation 

 

  • Simplifying Expressions 

  • Substitution 

  • Deriving Formulae 

  • Expanding single brackets 

  • Factorising single brackets 

  • Simplifying Fractions 

  • Improper and mixed fractions 

  • Equivalent fractions, decimals and percentages.  

  • Fractions of amounts 

  • Add and subtract mixed numbers. 

  • Divide and multiply fractions 

 

  • Primary & Secondary Data 

  • Choosing Sample Sizes  

  • Bias  

  • Random Sampling 

  • Two-way tables  

  • Bar charts  

  • Compound bar charts  

  • Averages and range 

  • Grouped data 

  • More graphs inc line graphs.  

  • Pie charts, Scatter graphs and correlation 

 

  • Angles and parallel lines  

  • Measuring and drawing angles 

  • Properties of triangles inc isosceles and equilateral  

  • Angles in a triangle  

  • Types of quadrilaterals, angles in quadrilaterals including proofs  

  • Interior & Exterior Angles of a Polygon  

  • Calculating missing angles 

  • Lines of Symmetry & Rotational Symmetry, 

Term 3 and 4
  • Ordering Decimals, Rounding Decimals, Adding & Subtracting Decimals. 

  • Multiplying decimals, dividing decimals, fractions, decimals and percentages.  

  • Using the multiplier. 

  • Percentages of Amounts. 

 

  • Solving equations with one operation, forming and solving equations. Solving equations with two operations. 

  • Solving equations with unknowns on both sides and with brackets.  

  • Trial and Improvement. 

  • Convert metric and imperial units, writing ratios, sharing in a given ratio 

  • Proportion, proportional reasoning, using the unitary method 

  • Sequences, term to term rule, the nth term, pattern sequences 

Term 5 and 6
  • Coordinates and line segments, graphs including straight lines parallel to axis, y=x and y=-x 

  • Area of triangles, parallelograms and trapezium. 

  • Perimeter and area of compound shapes.  

  • Properties of 3D solids 

  • Surface area, Volume of prisms, convert between metric measures for area and volume. 

Year 8

Term Learning Outcome
1 and 2
  • Prime factor decomposition, finding the HCF & LCM.  

  • Laws of indices  

  • Powers of 10  

  • Calculations with powers  

  • Significant Figures. 

 

  • Simplifying expressions, identities Using index laws  

  • Expanding and factorising single brackets 

  • Substituting and solving equations 

 

  • Plotting straight line graphs, finding the y intercept, finding the gradient. Y=mx+c  

  • Parallel and Perpendicular Lines. 

  • Non-linear graphs.  

  • Line segments 

 

  • Direct Proportion Using Graphs  

  • Financial graphs  

  • distance-time graphs  

  • Interpreting real-life graphs, including curved graphs  

  • misleading graphs. 

3 and 4
  • Perimeter  

  • Area and Volume of shapes after enlargement.  

  • Volume of Prisms.  

  • Circumference and Area of a Circle including Sectors and Arcs  

  • Volume and Surface Area of a Cylinder.  

  • Pythagoras’ Theorem 

 

  • Translations  

  • Reflections  

  • Rotation  

  • Enlargement Negative & Fractional Enlargement  

Combining Transformations 

 

  • Recurring decimals into fractions.  

  • The percentage multiplier  

  • Using reverse percentages  

  • Percentage change 

  • compound interest 

 

  • Calculating Probabilities  

  • Mutually Exclusive Events  

  • estimating probability & relative frequencies.  

  • Experimental Probability  

  • Sample Space Diagram  

  • Venn Diagrams  

  • Tree Diagrams 

5 and 6
  • Scales in maps  

  • Bearings  

  • Drawing diagrams to scale Congruent and similar shapes.  

  • Interior and Exterior Angles.  

  • Solving Geometry Problems. 

 

  • Drawing triangles using ruler & protractor 

  • Drawing diagrams to scale.  

  • Triangles using ruler & compass 

  • drawing accurate nets. 

  • Bisect a line using a ruler and compass. Construct perpendicular lines.  

  • Bisect Angles.  

  • Loci. 

 

  • Nets of solids  

  • Plans & Elevations.  

  • Surface area of Prisms  

 

Years 9

Terms Learning Outcomes
1 and 2
  • Expanding brackets  

  • Factorising by common factors 

  • Expanding the product of two brackets.  

  • Factorising by grouping.  

  • Factorising quadratics including with coefficient of x2

    >1 

  • Factorising difference of two squares.  

  • Number problems and reasoning 

  • Place value and estimating 

  • HCF & LCM  

  • Calculating with Powers, Zero, negative and fractional indices. 

  • Powers of 10 and standard form. Surds. 

 

  • Angle properties of triangles and quadrilaterals.  

  • Interior & Exterior Angles of a polygon.  

  • Pythagoras’ Theorem.  

  • Trigonometry.  

3 and 4
  • Add, subtract, multiply & divide fractions, reciprocals. 

  • Using ratio. 

  • Ratio & Proportion.  

  • Percentages. FDP.  

  • Recurring Decimal to Fraction. 

 

 

 

  • Algebraic Indices. 

  • Algebraic Fractions, Simplify, multiply and divide.  

  • Linear equations, setting up equations and solving. 

  • Formulae.  

  • Linear Sequences, Non-Linear Sequences.  

 

  • Linear Graphs, Gradients, y intercept, y=mx+c, finding the equation of a line. 

  • Line segments.  

5 and 6
  • Graphing rates of change. 

  • Real-life graphs.  

  • Quadratic Graphs.  

  • Cubic & Reciprocal graphs  

  • More graphs.  

  • Stem & Leaf, Frequency Polygons, Pie Charts, Time Series, Trends, Scatter Graphs.  

  • Line of best fit.  

  • Averages and range.  

  • Two-way tables, selecting diagrams, misleading graphs. 

 

  • 3D Solids  

  • Reflection & Rotation  

  • Enlargement.  

  • Translations & Combinations,  

  • Bearings & Scale Drawings, Constructions.  

  • Loci.  

 

Years 10 & 11

Year 10

Term  Learning Outcomes
1 and 2
  • Linear Graphs, Gradients, y intercept, y=mx+c, finding the equation of a line. 

  • Graphing rates of change.  

  • Real-life graphs  

  • Line segments.  

  • Quadratic Graphs.  

  • Cubic & Reciprocal graphs.  

  • More graphs. 

 

  • 3D Solids.  

  • Reflection & Rotation.  

  • Enlargement.  

  • Translations & Combinations. Bearings & Scale Drawings. 

  • Constructions.  

 

  • Perimeter & Area.  

  • Units & Accuracy.  

  • Prisms.  

  • Circles, Sectors.  

  • Cylinders and spheres 

  • Pyramids and cones 

3 and 4
  • Solving quadratic equations including coefficient >1.  

  • Completing the square.  

  • Solving simultaneous equations including linear and quadratic equations.  

  • Solving linear inequalities. 

 

  • Growth & Decay.  

  • Compound Measures  

  • More Compound Measures.  

  • Ratio & Proportion.  

  • Kinematics. 

 

  • Combined events.  

  • Sample space  

  • Mutually exclusive events Experimental probability.  

  • Independent Events.  

  • Tree Diagrams.  

  • Conditional Probability.  

  • Venn Diagrams & Set Notation 

5 and 6
  • Congruence.  

  • Geometric Proof & congruence. 

  • Similarity  

  • More Similarity. 

  • Similarity in 3D Solids 

 

  • Using upper and lower bounds with Trig  

  • Using the Sine Function. 

  • Using the cosine and tangent function. Calculating areas and the sine rule. 

  • Cosine rule.  

  • 2D & 3D trigonometric problems. Transforming trig graphs. 

Year 11 

Term Learning Outcomes
1 and 2
  • Sampling.  

  • Cumulative Frequency  

  • Box Plots. 

  • Drawing and interpreting Histograms. 

  • Comparing and describing populations 

 

  • Using upper and lower bounds with Trig.  

  • Using the Sine Function. 

  • Using the cosine and tangent function. Calculating areas and the sine rule. 

  • Cosine rule.  

  • 2D & 3D trigonometric problems. Transforming trig graphs. 

 

  • Representing inequalities graphically, graphs of quadratic functions. 

  • Solving quadratic equations graphically.  

  • Graphs of cubic functions. 

3 and 4
  • Radii & chords.  

  • Tangents 

  • Angles in circles, all Theorems. 

  • Applications of Circle Theorems 

 

  • Rearranging formulae.  

  • Algebraic fractions.  

  • Simplifying fractions  

  • More algebraic fractions. 

  • Surds  

  • Solving algebraic fraction equations. 

 

  • Vectors and vector notation 

  • Vector arithmetic, more vector arithmetic. 

  • Parallel Vectors and collinear points. 

  • Solving geometric problems 

 

  • Direct & Inverse Proportion. 

  • Exponential functions  

  • Non-linear graphs  

  • Translating graphs of functions. 

  • Reflecting and stretching graphs of functions. 

 

Post 16 at WG6

Year 12

 

Topic 

Learning Outcomes 

Term 1   

Pure 1: Algebraic Expressions 

 

 

 

 

 

 

Pure 2: Quadratics  

 

 

 

 

 

 

Pure 3: Equations and Inequalities 

 

 

 

 

 

 

Pure 4: Graphs and Transformations 

 

 

 

 

 

 

 

Pure 12: Differentiation 

 

 

 

 

 

 

 

 

 

 

 

Pure 5: Straight Line Graphs 

  1. Index Laws 

  1. Expanding Brackets 

  1. Factorising 

  1. Negative and Fractional Indices 

  1. Surds 

  1. Rationalising Denominators 

 

2.1 Solving Quadratic Equations 

2,2 Completing the Square 

2.3 Functions 

2.4 Quadratic Graphs 

2.5 The Discriminant 

2.6 Modelling with Quadratics 

 

3.1 Linear Simultaneous Equations 

3.2 Quadratic Simultaneous Equations 

3.3 Simultaneous Equations on Graphs 

3.4 Linear Inequalities 

3.5 Quadratic Inequalities 

3.6 Inequalities on Graphs 

 

4.1 Cubic Graphs 

4.2 Quartic Graphs 

4.3 Reciprocal Graphs 

4.4 Points of Intersection 

4.5 Translating Graphs 

4.6 Stretching Graphs 

4.7 Transforming Functions 

 

12.1 Gradients of Curves 

12.2 Finding the Derivative 

12.3 Differentiation 

xnxn

 

12.4 Differentiation Quadratics 

12.5 Differentiation functions with two or more terms 

12.6 Gradients, tangents and normal 

12.7 Increasing and decreasing functions 

12.8 Second order derivatives 

12.9 Stationary Points 

12.10 Sketching gradient functions 

12.11 Modelling with differentiation 

 

5.1 

y=mx+cy=mx+c

 

5.2 Equations of straight lines 

5.3 Parallel and perpendicular lines 

5.4 Length and area 

5.5 Modelling with straight lines 

 

Term 2 

Pure 11: Vectors 

 

 

 

 

 

 

Stats 1: Data Collection 

 

 

 

 

 

Stats 2: Measures of Location and Spread 

 

 

 

 

Stats 3: Representations of Data 

 

 

 

 

 

Stats 4: Correlation 

 

 

Mechs 8: Modelling in Mechanics 

 

 

 

 

Mechs 9: Constant Acceleration 

 

 

 

 

 

Pure 6: Circles 

11.1 Vectors 

11.2 Representing vectors 

11.3 Magnitude and direction 

11.4 Position vectors 

11.5 Solving geometric problems 

11.6 Modelling with vectors 

 

  1. Populations and samples 

  1. Sampling 

  1. Non-random sampling 

  1. Types of data 

  1. The large data set 

 

2.1 Measures of Central Tendency 

2.2 Other Measures of Location 

2.3 Measures of Spread 

2.4 Variance and Standard Deviation 

2.5 Coding 

3.1 Outliers 

3.2 Box Plots 

3.3 Cumulative Frequency 

3.4 Histograms 

3.5 Comparing Data 

 

4.1 Correlation 

4.2 Linear Regression 

 

8.1 Constructing a Model 

8.2 Modelling Assumptions 

8.3 Quantities and Units 

8.4 Working with Vectors 

 

9.1 Displacement-time Graphs 

9.2 Velocity-time Graphs 

9.3 Constant Acceleration Formulae 1 

9.4 Constant Acceleration Formulae 2 

9.5 Vertical Motion Under Gravity 

 

6.1 Midpoints and Perpendicular Bisectors 

6.2 Equation of a Circle 

6.3 Intersections of Straight Lines and Circles 

6.4 Use Tangent and Chord Properties 

6.5 Circles and Triangles 

 

Term 3 

Pure 13: Integration 

 

 

 

 

 

 

 

Pure 9: Trigonometric Ratios 

 

 

 

 

 

 

Pure 10: Trigonometric Identities and Equations 

 

 

 

 

 

 

Pure 14: Exponentials and Logarithms 

 

 

 

 

 

 

 

 

Mechs 10: Forces and Motion 

13.1 Integrating 

xnxn

 

13.2 Indefinite Integrals 

13.3 Finding Functions 

13.4 Definite Integrals 

13.5 Areas under Curves 

13.6 Areas under the x-axis 

13.7 Areas between Curves and Lines 

 

9.1 The cosine rule 

9.2 The sine rule 

9.3 Areas of Triangles 

9.4 Solving triangle problems 

9.5 Graphs of sine, cosine, and tangent 

9.6 Transforming trigonometric graphs 

 

10.1 Angles in all four Quadrants 

10.2 Exact values of trigonometrical ratios 

10.3 Trigonometric Identities 

10.4 Simple Trigonometric Equations 

10.5 Harder Trigonometric Equations 

10.6 Equations and Identities 

 

14.1 Exponential Functions 

14.2 

y=exy=ex

 

14.3 Exponential Modelling 

14.4 Logarithms 

14.5 Laws of Logarithms 

14.6 Solving Equations using Logarithms 

14.7 Working with Natural Logarithms 

14.8 Logarithms and Non-Linear Data 

 

10.1 Force Diagrams 

10.2 Forces as Vectors 

10.3 Forces and Acceleration 

10.4 Motion in 2 Dimensions 

10.5 Connected Particles 

10.6 Pulleys 

 

Term 4 

Stats 5: Probability 

 

 

 

 

Stats 6: Statistical Distributions 

 

 

 

 

Mechs 11: Variable Acceleration 

 

 

 

 

 

Pure 7: Algebraic Methods 

 

 

 

 

 

 

5.1 Calculating Probabilities 

5.2 Venn Diagrams 

5.3 Mutually Exclusive and Independent Events 

5.4 Tree Diagrams 

 

6.1 Probability Distributions 

6.2 The Binomial Distributions 

6.3 Cumulative Probabilities 

 

 

11.1 Functions of time 

11.2 Using differentiation 

11.3 Maxima and minima problems 

11.4 Using integration 

11.5 Constant acceleration formulae 

 

7.1 Algebraic Fractions 

7.2 Dividing Polynomials 

7.3 The factor theorem 

7.4 Mathematical Proof 

7.5 Methods of Proof 

 

 

Term 5 

Stats 7: Hypothesis Testing 

 

 

 

 

Pure 8: The Binomial Expansion 

 

7.1 Hypothesis Testing 

7.2 Finding Critical Values 

7.3 One-tailed tests 

7.4 Two-tailed tests 

 

8.1 Pascal’s Triangle 

8.2 Factorial Notation 

8.3 The Binomial Expansion 

8.4 Solving Binomial Problems 

8.5 Binomial Estimation 

 

Term 6 

(Y13) Pure 5: Radians 

 

 

 

 

 

(Y13) Pure 1: Algebraic Methods 

 

 

 

 

 

(Y13) Pure 2: Functions and Graphs 

 

 

 

 

 

 

 

(Y13) Pure 4: Binomial Expansion 

5.1 Radian Measure 

5.2 Arc Length 

5.3 Areas of Sectors and Segments 

5.4 Solving Trigonometric Equations 

5.5 Small Angle Approximations 

 

  1. Proof by Contradiction 

  1. Algebraic Fractions 

  1. Partial Fractions 

  1. Repeated Factors 

  1. Algebraic Division 

 

2.1 The Modulus Function 

2.2 Functions and Mapping 

2.3 Composite Functions 

2.4 Inverse Functions 

2.5 

y=|f(x)|y=f(x)

 and 

y=f(|x|)y=f(x)

 

2.6 Combining Transformations 

2.7 Solving Modulus Problems  

 

4.1 Expanding 

(1+x)n(1+x)n

 

4.2 Expanding 

(a+bx)n(a+bx)n

 

4.3 Using Partial Fractions 

 

Year 13 

 

Topic 

Learning Outcomes 

Term 1   

Pure 2: Functions and Graphs 

 

 

 

 

 

 

 

Pure 3: Sequences and Series 

 

 

 

 

 

 

 

 

Pure 4: Binomial Expansion 

 

 

 

Mechs 5: Forces and Friction 

 

 

 

Mechs 6: Projectiles 

 

 

 

 

Pure 6: Trigonometric Functions 

2.1 The Modulus Function 

2.2 Functions and Mapping 

2.3 Composite Functions 

2.4 Inverse Functions 

2.5 

y=|f(x)|y=f(x)

 and 

y=f(|x|)y=f(x)

 

2.6 Combining Transformations 

2.7 Solving Modulus Problems  

 

3.1 Arithmetic Sequences 

3.2 Arithmetic Series 

3.3 Geometric Sequences 

3.4 Geometric Series 

3.5 Sum to Infinity 

3.6 Sigma Notation 

3.7 Recurrence Relations 

3.8 Modelling with Series 

 

4.1 Expanding 

(1+x)n(1+x)n

 

4.2 Expanding 

(a+bx)n(a+bx)n

 

4.3 Using Partial Fractions 

 

5.1 Resolving Forces 

5.2 Inclined Planes 

5.3 Friction 

 

6.1 Horizontal Projection 

6.2 Horizontal and Vertical Components 

6.3 Projection at any Angle 

6.4 Projectile motion formulae 

 

6.1 Secant, cosecant and cotangent 

6.2 Graphs of sec x, cosec x and cot x 

6.3 Using sec x, cosec x and cot x 

6.4 Trigonometric Identities 

6.5 Inverse Trigonometric Functions 

 

Term 2   

Pure 7: Trigonometry and Modelling 

 

 

 

 

 

 

 

Pure 8: Parametric Equations 

 

 

 

 

 

Pure 9: Differentiation 

 

 

 

 

 

 

 

 

 

 

Stats 1: Regression, correlation and hypothesis testing 

 

 

 

Stats 2: Conditional Probability 

7.1 Addition Formulae 

7.2 Using the angle addition formulae 

7.3 Double-angle formulae 

7.4 Solving Trigonometric Equations 

7.5 Simplifying 

acosx ±bsinxacos⁡x ±bsin⁡x

 

7.6 Proving Trigonometric Identities 

7.7 Modelling with Trigonometric Functions 

 

8.1 Parametric Equations 

8.2 Using Trigonometric Identities 

8.3 Curve Sketching 

8.4 Points of Intersection 

8.5 Modelling with Parametric Equations 

 

9.1 Differentiating 

sinx andcosxsin⁡x andcos⁡x

 

9.2 Differentiation exponentials and logarithms 

9.3 The chain rule 

9.4 The product rule 

9.5 The quotient rule 

9.6 Differentiating trigonometric functions 

9.7 Parametric differentiation 

9.8 Implicit differentiation 

9.9 Using second derivatives 

9.10 Rates of change 

 

  1. Exponential models 

  1. Measuring correlation 

  1. Hypothesis testing for zero correlation 

 

2.1 Set Notation 

2.2 Conditional Probability 

2.3 Conditional Probabilities in Venn Diagrams 

2.4 Probability Formulae 

2.5 Tree Diagrams 

 

Term 3 

Stats 3: The Normal Distribution 

 

 

 

 

 

 

 

 

3.1 The normal distribution 

3.2 Finding probabilities for normal distributions 

3.3 The inverse normal distributions 

3.4 The standard normal distribution 

3.5 Finding 

μ

Related Careers

Mathematics has applications in many other subjects including Science, Business Studies, Economics, Geography, Computing, Design and Psychology.  Careers such as Engineering, Architecture, Accountancy and Actuarial Science will require strong Mathematical skills whilst Mathematics is a valued supporting subject for many other degrees and careers.

  • Accountancy

  • Actuarial Science

  • Architecture

  • Engineering

  • Financial consultant

  • Computer systems analyst

  • Insurance Broker

  • Marketing Executive