## 1. Vectors

### 1.1. Object that has both magnitude and a direction

1.1.1. Project specifications

1.1.2. End User requirements

1.1.3. Action points sign-off

### 1.2. Vectors in component for and as directed line segment

### 1.3. addition and subtraction of vectors

### 1.4. Scalar product

## 2. Foundations of Trigonometry

### 2.1. Similarity in triangles

2.1.1. Sine

2.1.2. Cosine

2.1.3. Tangent

### 2.2. Formula

### 2.3. Right-angled triangle trigonometry

### 2.4. Area of a triangle

### 2.5. Radians, arcs, and sectors

## 3. Sequences and series

### 3.1. Series

3.1.1. Sigma notation and series

3.1.2. Arithmetic series

3.1.3. Geometric series

3.1.4. Convergent series and sums to infinity

3.1.5. Applications of geometric and arithmetic patterns

### 3.2. Sequences

3.2.1. A number sequence is a pattern of numbers arranged in a particular order

3.2.2. Arithmetic sequences

3.2.3. Geometric sequences

## 4. Circular functions

### 4.1. The Unit circle

### 4.2. Solving equations using the unit circle

### 4.3. Trigonometric identities

## 5. Introduction of Probability

### 5.1. Definition

5.1.1. An experiment is the process by which we obtain the outcome

5.1.2. An event is an outcome from an experiment

5.1.3. A random experiment is one where there is uncertainty over which event may occur

5.1.4. Empirical probability

5.1.5. Subjective probability

### 5.2. Sample space diagrams and the product rule

5.2.1. Independent events

### 5.3. Venn diagrams

5.3.1. Complementary

5.3.2. Intersection of events

5.3.3. Union of events