Mathematics
Mathematics at WGSB not only prepares students for GCSE and GCE assessments, but to also equips them with the quantitative analysis and logical reasoning skills that are essential to succeed in a range of fields beyond school. The department strives to provide students with a challenging yet enjoyable experience of learning maths in a way which allows students to see the application and uses of maths on a regular basis.
In Key Stage 3 and Key Stage 4, all students follow the same course and are assessed in the following main topic areas:
- Number
- Algebra
- Geometry
- Ratio and Proportion
- Probability and Statistics
GCSE students follow the AQA specification.
A Level students follow the Edexcel specification.
Year 7
Year 7
Term |
Topic |
Learning Outcomes |
1 |
Number Skills
Algebra |
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2 |
Sequences
Number Theory
Area and Perimeter
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3 |
Fractions, Decimals, and Percentages
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4 |
Angle geometry
Algebraic Expressions and Equations |
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5 |
Data Handling
Rounding and Approximation
Pythagoras |
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6 |
Ratios
Transformations of Shapes
3D Shapes |
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Year 8
Year 8
Term |
Topic |
Learning Outcomes |
1 |
Number Skills
Algebraic Expressions and Equations
Geometry |
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2 |
Straight Line Graphs
Probability
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3 |
Data Handling
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4 |
Indices
Measurement |
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5 |
Algebraic Expressions and Equations
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6 |
Bearings
Sets and Set Notation
Bounds |
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Year 9
Year 9
Term |
Topic |
Learning Outcomes |
1 |
Number Skills
Proportions
Algebra and Sequences
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2 |
Indices
Triangle Geometry
Number Skills
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3 |
Transformations
Surds
Algebra
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4 |
Geometry and Measurement
Algebra |
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5 |
Number Skills
Circle Geometry
Probability and Sets
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6 |
Algebra
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Years 10 & 11
Year 10
Term |
Topic |
Learning Outcomes |
1 |
Number Skills
Geometry
Algebra
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2 |
Algebra
Trigonometry
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3 |
Data Handling
Algebra
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4 |
Algebra
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5 |
Number
Geometry
Algebra
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6 |
Algebra
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Year 11
Term |
Topic |
Learning Outcomes |
1 |
Number Skills
Algebra
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2 |
Geometry
Number
Probability and Sets
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3 |
Measurement and Rates
Algebra
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4 |
Geometry
Number
Algebra
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5 |
Revision
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6 |
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Post 16 at WG6
Year 12
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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 |
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
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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
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
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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
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Term 4 |
Stats 5: Probability
Stats 6: Statistical Distributions
Mechs 11: Variable Acceleration
Pure 7: Algebraic Methods
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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
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Term 5 |
Stats 7: Hypothesis Testing
Pure 8: The Binomial Expansion
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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
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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
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) andy=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
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Year 13
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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) andy=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
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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 ±bsinxacosâ¡x ±bsinâ¡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 andcosxsinâ¡x andcosâ¡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
2.1 Set Notation 2.2 Conditional Probability 2.3 Conditional Probabilities in Venn Diagrams 2.4 Probability Formulae 2.5 Tree Diagrams
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Term 3 |
Stats 3: The Normal Distribution
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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 |