Foundation & Higher

• Use trigonometric ratios to find missing lengths and angles in triangles
• Working with Surds (from Year 9 Summer 1) 
• Find exact values for sin theta, cos theta and tan theta for key angles
• Using Pythagoras Theorem (From Year 9 Summer 1) 
• Solving Area, Trigonometry and Pythagoras Problems

Higher only

• Rationalising Surds 
• Use the Sine and Cosine rules to find missing lengths and angles
• Find the area of triangles using trigonometry

Further Maths GCSE

• Equation of a Straight Line 
• Binomial Expansion

Foundation & Higher

• Calculate arc lengths, angles and areas of sectors
• Solving and forming simultaneous equations by elimination
• Drawing Quadratic Graphs (From Year 9 Spring 2) 
• Finding the roots of quadratic equations by factorising (From Year 9 Spring 2) 
• Form and Solve Quadratic Equations by Factorising (From Year 9 Spring 2) 

Higher only

• Factorising quadratics where a > 1 (From Year 9 Spring 2) 
• Equation of a Circle
• Solving and forming simultaneous equations by substitution
• Finding the intersection of lines and curves

Further Maths GCSE

• Factor Theorem 
• Further Trigonometry 
• Working Trigonometric Identities 
• Solving Trigonometric Equations 

Foundation & Higher

• Related Calculations
• Negative Indices 
• Work with numbers in Standard Form
• Solve problems involving measure such as speed, density and pressure.
• Changing Units
• Surface Area of Prisms, cylinders, cones and spheres. 
• Volume of prisms, cylinders, cones, pyramids and spheres. 

Higher only

• Fractional Indices 
• Index Laws in Context
• Approximate the gradient of a curve at a given point and the area under a graph.
• Interpret these values in real-life problems including kinematic graphs.
• Further volume and surface area problems. 

Further Maths GCSE

• Solving equations with 3 unknowns 
• Equation of a Circle with centre (a, b) 
• Geometric Proof 

Foundation & Higher

• Using iterative methods to generate different types of sequences
• Working with nth term of linear sequence
• Sequences and Ratio 
• Combining Ratios 
• 1:n 
• Unit Pricing and Currency Conversions  
• Solve Direct and Inverse Proportion Problems
• Recognise graphs showing direct and inverse proportion

Higher only

• Finding the nth term of a Quadratic Sequence
• Solving Equations using Iterative methods
• Solving Quadratic Inequalities
• Function Notation
• Working with Compound Functions
• Inverse Functions 
• Recognise and draw cubic and reciprocal functions
• Recognise and draw graphs of exponential functions
• Recognise and sketch translations and reflections of graphs

Further Maths GCSE

• Gradient of a tangent 
• Differentiation 
• Equations of tangents and normals

Foundation & Higher

• Working with averages and range
• Estimating the Mean from a grouped Frequency Table 
• Constructing and Interpreting Pie Charts
• Use tables and line graphs to represent time series

Higher Only

• Construct and Interpret Cumulative Frequency Tables and Graphs
• Construct and Interpret BoxPlots
• Construct and Interpret Histograms

Further Maths GCSE

• Increasing and Decreasing Functions 
• Stationary Points and classification 
• Sketching and interpreting curves using calculus 

Foundation & Higher

• Combinations
• Understanding independent events
• Using Two way tables
• Using Tree Diagrams

Higher only

• Conditional Probability from Tree Diagrams
• Conditional Probability from Venn Diagrams
• Algebraic Probability problems

Further Maths GCSE

• Limiting value of a sequence 
• Drawing Piece-wise functions 
• Domain and Range of a Function