**A simplified overview of the Year 10 Curriculum. **

**Autumn 1 Trigonometry, Surds and Pythagoras **

##### 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

**Autumn 2 Circles and Equations**

##### 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

**Spring 1 Science Skills**

##### 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

**Common Assessment 1 (Week Commencing 8th Feb 2021)**

**Spring 2 Sequences and Graphs**

##### 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

#### Summer 1 Delving into Data

##### 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

**Summer 2**** Further Probability and Combinatorics**

##### 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