# Year 10

A simplified overview of the Year 10 Curriculum.

#### Autumn 1  Trigonometry

• Use trigonometric ratios to find missing lengths and angles in triangles
• Find exact values for sin theta, cos theta and tan theta for key angles
• Use the Sine and Cosine rules to find missing lengths and angles
• Find the area of triangles using trigonometry
• Recognise and sketch trigonometric functions.

#### Autumn 2 Circles and Equations

• Calculate arc lengths, angles and areas of sectors
• Proof and application of Circle Theorems
• Equation of a Circle
• Finding the equation of a tangent
• Solving and forming simultaneous equations by elimination
• Solving and forming simultaneous equations by substitution
• Finding the intersection of lines and curves

### COMMON ASSESSMENT 1

#### Spring 1 Science Skills

• Rearranging Formula
• Work with numbers in Standard Form
• SUVAT Equations
• Solve problems involving measure such as speed, density and pressure.
• Changing Units
• Draw and interpret graphs of non-standard functions and use them in real-life problems.
• 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.

#### Spring 2 Statistical Representations

• Construct and Interpret Cumulative Frequency Tables and Graphs
• Construct and Interpret BoxPlots
• Construct and Interpret Histograms
• Use tables and line graphs to represent time series

#### Summer 1 Sequences and Graphs

• Using iterative methods to generate different types of sequences
• Finding the nth term of a Quadratic Sequence
• Solving Equations using Iterative methods
• Solve Direct and Inverse Proportion Problems
• Recognise graphs showing direct and inverse proportion
• Function Notation and Composite Functions (NEW 2020)
• Inverse Functions (NEW 2020)
• Recognise and draw cubic and reciprocal functions
• Recognise and draw graphs of exponential functions
• Recognise and sketch translations and reflections of graphs

#### Summer 2 Further Probability and Combinatorics

• Relative Frequency
• Combinations
• Calculating conditional probabilities
• Understanding independent events