## Course curriculum

• 1

• 2

### Linear equations

• Chapter 1:2 Linear equations

• Solving and constructing linear equations

• Graphing linear equations

• Gradient and finding the equation of a straight line

• Distance, midpoint and angle of slope

• Simultaneous equations

• Linear models

• Chapter 1:2 Linear equations

• Introduction to the CAS

• CAS Techniques: Linear equations

• 3

• 4

### Gallery of Graphs

• Chapter 4- Gallery of Graphs

• Rectangular hyperbolas

• Truncus

• Square root function

• Circles and semi-circles

• Chapter 4- Gallery of Graphs

• 5

### Functions and relations

• Chapter 5- Functions and relations

• Set and interval notation

• Functions and relations

• Implied Domains

• Piecewise functions

• Inverse Functions

• Chapter 5- Functions and relations

• 6

### Polynomials

• Chapter 6- Polynomials

• What is a polynomial?

• Cubic factorisations and expansions

• Division of polynomials

• Factorisation of polynomials

• Sketching cubic graphs

• Quartics

• Chapter 6- Polynomials

• 7

### Probability

• Definitions and notation

• Multi-stage experiments

• Combining events- Venn Diagrams

• Karnaugh Maps

• Conditional and independent probability

• Chapter 9- Probability

• Chapter 9- Probability

• 8

### Counting Methods and discrete random variables

• Chapter 10 and 11- Counting Methods and discrete probability

• Counting Methods: Combinations and Permutations

• Discrete random variables

• Sampling without replacement

• Binomial distribution

• 9

### Exponentials and Logarithms

• Chapter 13- Exponentials and logarithms

• Index Laws

• Solving exponential equations and inequalities

• Graphs of exponential functions

• Log Laws

• Graphs of logarithmic functions

• Inverses between exponentials and logs

• Exponential growth and decay

• Chapter 13- Exponentials and logarithms

• 10

### Differentiation

• Differentiation

• Differentiation by first principles

• Differentiation formulae

• Limits and continuity

• Differentiability

• 11

### Applications of differentiation

• Applications of differentiation

• Tangents and normals

• Stationary points

• Rates of change

• Absolute and local maximums and minimums

• 12

### Antidifferentiation and integration

• Antidifferentiation and Integration

• Antidifferentiation

• Finding areas under curves

• Properties of the definite integral

• 13

### Exam Preparation 🧑‍🎓

• Exam Preparation 🧑‍🎓