**The following contents will in covered in great depth within the first and second term from September to December**

**Algebra**

Expanding Brackets

Solving Equations

Notation and Vocab

Factorising Fractions

Simultaneous Equations: Linear

Simultaneous Equations: Non-Linear

Inequalities

Quadratic Equations

Indices and Surds

Exponential Equations

**Complex Numbers** Adding and Subtracting

The Argand Diagram

Modulus

Multiplying and Dividing

Conjugate

Transformations

**Functions**

Notation and Vocab

Inputs and Outputs

Graphing Functions

Functions in Context

Composite Functions

Crossing the Axes

Points of Intersection

Types of Functions

**Calculus**

Limits

Differentiation by Rule

Evaluating Derivatives

Second Derivative

Tangents

Maximum/Minimum Points

**Sequences** Sequence Notation

General Term of a Linear Sequence

Types of Sequences

General Term of a Quadratic Sequence

Sum of Terms of a Linear Sequence

**Arithmetic** Ratio

Percentage Error

VAT

Income Tax

Currency Exchange

Distance/Speed/Time

Profit and Loss

Arithmetic Interest

Depreciation

**Applied Measure** Triangles and Circles

Trapezoidal Rule

Rectangular Solids

February Midterm

Prism

Cylinder

Cone

Sphere

**Geometry**

Angles

Triangles

Quadrilaterals

Circles

Congruent Triangles

Similar Triangles

Transformations

Enlargements

**Trigonometry**

SOH-CAH-TOA

Pythagoras

The Cosine Rule

The Sine Rule

Area of a Triangle

**Co-Ordinate Geometry** The Line

**Co-Ordinate Geometry** The Circle

**Probability**

Fundamental Principal of Counting

Counting Outcomes

Combinations

Permutations

Basic Probability

Combined Events

Set Theory

Relative Frequency

Bernoulli Trials

Expected Value

**Statistics**

Data Types

Sampling Types

Measures of Centre

Measures of Spread

Graphical Representations

Correlation Coefficient

Line of Best Fit

Empirical Rule

Confidence Intervals

Hypothesis Testing