## Course curriculum

• 1

• 2

• 3

### 2. Patterns and sequences

• 2.1 Arithmetic sequences

• 2.2 Sequences and shapes

• 2.3 Quadratic sequences and 'Sum of'

• 4

### 3. Calculus

• 3.1 How to differentiate

• 3.2 Max and min turning points

• 3.3 Slope representation

• 3.4 Rates of change and maximum values

• 5

### 4. Arithmetic

• 4.1 Decimals, ratios and signifcant numbers

• 4.2 Profit and loss and percentage error

• 4.3 Currency exchange

• 4.4 Numbers in standard form

• 4.5 Speed Distance Time graphs

• 4.6 Compound interest and depreciation

• 4.7 Income tax

• 6

### 5. Geometric

• 5.1 How to find probability

• 5.2 Two events _ sample spaces

• 5.3 Repeated trials

• 5.4 Venn diagrams

• 5.5 'OR' rule

• 5.6 'AND' rule

• 5.7 Tree diagrams

• 5.8 Expected value

• 5.9 Arrangements

• 7

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• 8

### 6. Statistics

• 6.1 Some theory

• 6.2 Mode Median and Mean

• 6.3 Frequency and grouped frequency tables

• 6.5 Causal relationships

• 6.4 Scatter graphs and correlation

• 6.6 Standard deviation

• 6.7 Empirical rule and Hypothesis testing

• 9

### 7. Trigonometry

• 7.1 SOHCAHTOA

• 7.2 Using a calculator

• 7.3 Area of a triangle

• 7.5 The 30 45 and 60 triangles

• 7.4 Sine and Cosine rule

• 10

### 8. Co-ordinate geometry

• 8.1.1 Use of formulae

• 8.1.2 Graphing lines, parallel and perpendicular lines

• 8.1.3 Points of intersection and area of a triangle

• 8.2.1 Equation of a circle

• 8.2.2 Points on a circle

• 8.2.3 Intersecting lines and circles

• 11

### 9. Complex numbers

• 9.1 Introduction to complex numbers

• 9.2 Modulus and conjugate

• 12

### 10. Area and Volume

• 10.1 2D shapes

• 10.2.3D Shapes

• 10.3 Trapezoidal rule

• 13

### 11. Graphs and Functions

• 11.1 Linear Graphs

• 11.4 Cubic and exponential graphs

• 14

### 12. Geometry

• 12.1 Angles and lines

• 12.2 Triangles

• 12.3 Congruent and similar triangles

• 12.4 Circles

• 12.5 Thereoms

• 12.6 Constructions and Enlargements

• 15

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