# Year 12 Videos

## Videos

Mostly videos made by me, but with some others.

The main purpose is to allow students to catch up material they have missed – which is why there are often notes included in them for students to take down – or revise before an assessment.

I have indicated where the level is above what an Achieved level student should be prepared to do.

## Simultaneous Equations

Basic Process

Simple Example

Achieved Example

Merit Example

Harder Merit Example

Extension Example

Graphing the Equations

Excellence

## Trigonometry

### Rules

Introduction

Sine rule to find sides

Sine rule to find angles

Cosine rule to find sides

Cosine rule to find angles

Area of triangles

Part circles (Merit)

### Worked Examples

Two-step problems

Problems starting without triangles

Problems with part circles (Merit)

Constant Perimeter problems (Excellence)

What goes wrong -- Troubleshooting common problems

## Probability

### Normal Distributions

Introduction

Changing mean and Standard Deviation

Straightforward Probabilities

Inverse Normal

Using Z Values (high Merit and Excellence)

### Venn Diagrams

Some help with Venn Diagrams for those at Excellence level. Some of the notation is higher than you need but the concepts are still the same.

Introduction

A bit more Theory

Worked Exercises

## Algebra

### Manipulation

Expanding three brackets

Factorising

Simplifying Algebraic Fractions

Power Laws

Power Laws (high Merit)

### Logs and Exponential Equations

Solving Simple Log Equations

Simplifying Simple Log Expressions

Solving Simple Exponential Equations

Complex Exponential Equations (Merit)

Using the Discriminant (high Merit)

### Word Problems

Word Problems in Context (Merit)

Parabolic Paths (Merit)

## Calculus (Differentiation)

Introduction and Terminology

Introduction to Functions

Finding the Gradient at a Point

Finding the Points with a Given Gradient

Anti-differentiation

Sketching Functions

Turning Points, Maxima, Minima (Merit)

Equations of Tangents (Merit)

Rates of Change

Using the Graphics Calculator in Calculus

Kinematics (high Merit)

## Using the Graphics Calculator

Using "Solver" to solve equations