# Year 10

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
• 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
• 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
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