Mathematics
As part of our Maths vision, we strive for all students to become fluent in the fundamentals of Mathematics, developing conceptual knowledge and an ability to recall and apply knowledge rapidly and accurately.
Our aim is to ensure that our students can reason mathematically and solve problems and to develop a `can do` attitude and perceive themselves as resilient and become great Warlingham and lifelong learners.
Our curriculum aims to ensure that all students develop Mathematics knowledge, conceptual understanding, Skills and Learner attributes through our core strands of Number, Algebra, Ratio & Proportion, Statistics and Probability. The curriculum is a progression model, through which the ‘big ideas’ are developed and built upon, as students develop their own schema for Maths, underpinned by the continual development around students' curiosity, fluency, reasoning and problem-solving skills.
Key Skills running through our curriculum maps
- Fluency
- Resilience
- Reasoning Skills
- Communication Skills
- Problem-solving
The Core Concepts
The key strands below run through and are continually built upon through our KS3, KS4 and KS5 curriculum maps.
- Number
- Algebra
- Ratio, proportion and rates of change
- Geometry and measures
- Probability
- Statistics
key stage 3
Year 7
Data handling
- Representing data
- Interpreting data
- Comparing data
Number
- Calculating and estimates
- Multiples and factors
Algebra
- Simplifying and writing expressions
- Substitution into expressions and formulae
Algebraic thinking
- Sequences
Place value and proportion
- Fraction, decimal and percentage equivalence
Applications of number
- Solving problems with addition and subtraction
- Solving problems with multiplication and division
- Fractions and percentages of amounts
Fractional thinking
- Addition and subtraction of fractions
Lines and angles
- Constructing, measuring and using geometric notation
- Developing geometric reasoning
Reasoning with number
- Developing number sense
- Sets and probability
- Prime numbers and proof
Year 8
Number
- Calculations with directed numbers
- Powers and roots
- Multiples and factors
Area and Volume
- Area of 2D shapes
- 3D shapes characteristics
- Surface are and volume of 3D shapes
- Measures
Dealing with Data
- Representing data
- Interpreting data
- Misleading data
Proportional Reasoning
- Ratio and scale
- Multiplicative change
- Multiplying and dividing fractions
Representations
- Working in the cartesian plane
- Tables and probability
Algebraic techniques
- Brackets, equations and inequalities
Algebraic techniques
- Brackets, equations and inequalities (continued)
- Sequences
Developing number
- Fractions and percentages
Developing geometry
- Angles in parallel lines and polygons
- Line symmetry and reflection
Year 9
Number
- Place Value
- HCF/LCM
- Indices
- Standard Form
- Surds
Algebra
- Expressions
- Expanding / Factorising
- Sequences
- Equations
- Formulae
Interpreting and representing data
- Scatter Graphs
- Statistical Diagrams
- Averages
Fractions, Ratio and Percentages
- Fractions
- Ratio
- Ratio and Proportion
- Percentages
- Fraction Decimal and Percentage Equivalents
Angles and Trigonometry
- Angle properties of polygons
- Pythagoras Theorem
- SOHCAHTOA
Area and Volume
- Perimeter, area and volume of 2D and 3D shapes
- Circles, arc lengths and sectors
Graphs
- Linear graphs and y = mx + c
- Real life graphs
- Quadratic, cubic and reciprocal graphs
Transformations and Constructions
- Plans and elevation
- Rotation, reflection and translation of shapes
- Enlargement about a point given a scale factor
- Constructions and bearings
- Loci
Key Stage 4
Year 10 & Year 11
Edexcel GCSE Mathematics
Students are assessed and streamed towards the end of Year 9 and will continue their journey through the GCSE progression model. Students will follow either the Higher or Foundation curriculum map and will be continually challenged thorough each unit of work.
Foundation
Perimeter, Area and Volume
- Rectangles, Triangles and Parallelograms
- Trapezia and changing units
- Area of compound shapes
- Surface Area of 2D shapes
- Volume of prisms
Graphs
- Coordinates
- Linear Graphs
- Gradients
- Y = mx + c
- Real life graphs
- Distance-time graphs
Transformations
- Translation
- Reflection
- Rotation
- Enlargement
- Describing Transformations
Ratio and Proportion
- Writing ratios
- Using ratios
- Ratios and Measures
- Comparing using ratios
- Using proportion
- Proportion and graphs
- Proportion Problems
Right-angled triangles
- Pythagoras` theorem
- Trigonometry (Sine, Cosine and Tangent Ratio)
- Finding lengths and angles using trigonometry
Probability
- Calculating probability
- Two events
- Experimental probability
- Venn diagrams
- Tree diagrams
Multiplicative Reasoning
- Percentages
- Growth and decay
- Compound measures
- Distance, Speed and Time
- Direct and inverse proportion
Constructions, loci and bearings
- 3D solids
- Plans and elevations
- Accurate drawings
- Scale drawings and maps
- Constructions
- Loci and regions
Quadratic equations and graphs
- Expanding double brackets
- Plotting quadratic graphs
- Using quadratic graphs
- Factorising quadratic expressions
- Solving quadratic equations
Perimeter, Area and Volume
- Circumference of a circle
- Area of circles
- Area of semi circles and sectors
- Composite 2D shapes and cylinders
- Pyramids and cones
- Spheres and composite solids
Fractions, indices and standard form
- Multiplying and dividing fractions
- The laws of indices
- Writing large and small numbers in standard form
- Calculating with standard form
Congruence, similarity and vectors
- Similarity and enlargement
- Using similarity
- Congruence
- Vectors
Further Algebra
- Graphs of cubic and reciprocal functions
- Non-linear graphs
- Solving simultaneous equations
- Rearranging formulae
- Proof
Higher
Equations and Inequalities
- Solving Quadratics
- Solving Linear and Quadratic Simultaneous Equations
Probability
- Combined Events
- Mutually Exclusive Events
- Experimental Probability
- Independent Events and Tree Diagrams
- Conditional Probability
- Venn Diagrams and Set Notation
Multiplicative Reasoning
- Growth and Decay
- Compound Measures
- Ratio and Proportion
Similarity and Congruence
- Congruence
- Geometric Proof
- Similarity in 2D and 3D shapes
Further Trigonometry
- Accuracy
- Graphs of Sine, Cosine and Tangent Function
- Sine Rule and Cosine Rule
- Solving Problems in 3D
- Transforming Trigonometric Graphs
Further Statistics
- Sampling
- Cumulative Frequency
- Box Plots
- Histograms
- Comparing and Describing Populations
Equations and Graphs
- Solving Simultaneous Equations graphically
- Representing Inequalities Graphically
- Graphs of Quadratic Functions
- Solving quadratic graphs graphically
- Graphs of cubic functions
Circle Theorems
- Radii and Chords
- Tangents
- Angles in circles
- Applying circle theorems
Further Algebra
- Rearranging Formula
- Algebraic Fractions
- Surds
- Functions
- Prove a result using Algebra
Vectors and Geometric Proof
- Vectors and vector notation
- Vector arithmetic
- Parallel vectors and collinear points
- Solving geometric problems
Proportion and Graphs
- Direct Proportion
- Inverse Proportion
- Exponential Functions
- Non-Linear Graphs
- Translating Graphs of functions
- Reflecting and stretching graphs of functions
key stage 5
Pearson Edexcel A Level Mathematics (9MA0)
Year 12
Pure
Algebraic Expressions
- Simplifying algebraic expressions and surds
Quadratics
- Solving quadratic equations
- Identifying quadratic graph properties
Equations and Inequalities
- Solving simultaneous equations
- Solving inequalities
Graphs and Transformations
- Analysing polynomial and reciprocal graphs
- Transforming graphs
Straight Line Graphs
- Manipulating y = mx + c
Algebraic Methods
- Factor theorem
- Dividing polynomials
- Proof
Trigonometric Ratios
- Sine & Cosine Rule
- Area of a Triangle
- Trigonometric graphs
Binomial Expansion
- Expand using binomial formula
Trigonometric Identities & Equations
- Using trigonometric identities
- Solving trigonometric equations
Circles
- Equation of a circle
- Solving geometric problems using straight lines in circles
- Solving problems using properties of a circle
Vectors
- Using vector notation
- Solving geometric problems using vectors
Differentiation
- 1st principles
- Differentiating expressions with varying powers of x.
- Solve problems regarding gradients
Integration
- Integrating expressions with varying powers of x.
- Solving problems regarding the area under a curve
Exponentials and Logarithms
- Exponential graphs and modelling
- Laws of logarithms
- Solving equations using logarithms
Mechanics
Modelling in Mechanics
- Modelling techniques
- SI units
- Vectors
Constant Acceleration
- Displacement and velocity graphs
- SUVAT equations
Forces and Motion
- Force diagrams
- Newtons Laws
- Connected particles
Variable Acceleration
- Functions of time
- Using calculus
Statistics
Data Collection
- Sampling methods
- Types of data
- Large data set
Measures of location and spread
- Calculating types of average
- Calculating types of spread
- Coding
Representations of data
- Drawing and interpreting box plots
- Drawing and interpreting cumulative frequency curves
- Drawing and interpreting histograms
Correlation
- Drawing and interpreting scatter diagrams
- Interpreting regression lines
Probability
- Using tree diagrams
- Using Venn diagrams
- Mutually exclusive and independent events
Statistical Distributions
- Binomial distribution
Hypothesis Testing
- Carrying out one and two tailed tests
Year 13
Pure
Radians
- Find arc length and area of sectors
- Solving trigonometric equations
- Small angle approximations
Trigonometric Functions
- Sec, Cosec & Cot
- Identities and inverse functions
Trigonometry and Modelling
- Addition formulae
- Double angle formulae
- Rsin(X+a)
Algebraic Methods
- Proof by contradiction
- Partial fractions
Functions and Graphs
- Modulus function
- Composite and inverse functions
Sequences and Series
- Arithmetic sequences and series
- Geometric sequences and series
Binomial Expansion
- Expand using fractions and negatives
- Link with partial fractions
Parametric Equations
- Converting parametric and cartesian equations
- Finding points of intersection
Differentiation
- Trigonometric functions, logarithms and exponentials
- Chain, product and quotient rules
- Parametric
- Implicit
Numerical Methods
- Iteration
- Newton-Raphson method
Integration
- Trigonometric functions, logarithms and exponentials
- By substitution and parts
- Partial fractions
- Trapezium rule
- Differential equations
Vectors
- 3D vectors
Mechanics
Moments
- Resultant moments
- Equilibrium
- Centres of mass
Forces and Friction
- Resolving forces
- Friction
- Inclined planes
Projectiles
- Horizontal motion
- Any angle projection
Application of Forces
- Statics
- Dynamics and inclined planes
Further Kinematics
- Position vectors
- Variable acceleration using calculus
Statistics
Regression, correlation and hypothesis testing
- Exponential models
- Calculating the pmcc
- Hypothesis testing
Conditional probability
- Set notation
- Conditional probability
- Venn diagrams and tree diagrams
The normal distribution
- Finding probabilities
- Solving inverse problems
- The standard normal distribution
- Approximating a binomial distribution
- Hypothesis testing