## Topic 1: Functions and Graphs

Finding Midpoints on a cartesian plane

Finding a point given a point and a midpoint

The distance formula

Parallel lines and their gradients

Perpendicular lines and their gradients

Relations Domain and Range

What's a function

Function notation

Graphing on calculator using restricted domains

Function Transformations intro

Function transformation afx

Function transformation f(x+a)

Functions Transformation fx+a

Functions transformations f(ax)

domain and range notation

Anatomy of a quadratic graph

Solving Quadratics 3 ways

Review of sketching quadratics two ways

Modelling and problem solving with quadratics

solving simultaneous equations using quadratic and linear graphs

Direct vs inverse proportion

Equations of hyperbola and sketching

Finding equation of reciprocal function from sketch

Equation of a circle sketching and finding coordinates

Sketching a circle on a cartesian plane

Equation of a circle finding intersection using simultaneous equations

Finding a linear factor of a polynomial

## Topic 2: Trigonometric Functions

Trig Ratios fast

The Sine Rule Fast

The sine rule ambiguous case

The cosine rule

Area of a triangle using trigonometry

True Bearings

Bearings and Trigonometry an example

How to Draw the Diagrams for Trig Applications Questions (Bearings and Elevation/Depression

Draw in 3D

Introduction to Radians

Converting Radians to Degrees and Degrees to Radians

Radians quick angles

Standard triangles

The Unit Circle

The Unit Circle The Tan Ratio

The Unit Circle and Symmetry

The unit circle CAST and why CAST works

Finding exact trig ratios involving negative angles

Finding exact values of trig ratios around the unit circle

The Unit Circle Finding exact values of negative trig ratios

The unit circle Boundary angles

The unit circle solving unknown angles

Solving Simple Trig Equations Worksheet (worksheet in Description)

The unit circle solving unknowns in trig equations

Sketching SinX and CosX

Sketching y = AsinX and AcosX

Sketching y = AsinX +D and AcosX + D

Sketching y = AsinBx + D or y = AcosBx +D

Sketching y = AsinB(x+C)+D

Finding the equation of a periodic function from a graph or sketch

Complementary trig functions

Trig Addition identities part 1

Trig Addition Identities Part 2

Trig Addition Identities Part 3

Trig Identities part 4

Revision of radians and the unit circle

## Topic 3: Counting and Probability

Pascal's Triangle and Selections

Binomial expansion using pascal's triangle

Factorials!

Combinations

The Language of Sets

Basic Set Theory

The inclusion exclusion principle for 2 and 3 sets

Theoretical Probability with sets

All Probabilities sum to 1

Venn Diagrams the complement

Experimental probability

simplified tree diagram

The Addition rule of probability

Probability Tables intro

Conditional Probability formula

Conditional Probability Do you watch the bachelorette

Conditional probability rearranging the formula

Conditional Probability and Tree Diagrams

Independent events intro and tests

Independent events 2

Addition and Multiplication principles