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.

This page does not have the videos embedded, to save on download time and make the page easier to navigate. Instead the links open a new page in YouTube (or similar).

Simple Example

Achieved Example

Merit Example

Harder Merit Example

Extension Example

Graphing the Equations

Checking Your Answers

Excellence

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)

Problems starting without triangles

Problems with part circles (Merit)

Constant Perimeter problems (Excellence)

What goes wrong -- Troubleshooting common problems

Terms in Arithmetic (Addition) Sequences

Totals of Arithmetic Sequences

Terms in Geometric (Multiplication) Sequences

Totals of Geometric Sequences

Sums to Infinity

Changing mean and Standard Deviation

Straightforward Probabilities

Inverse Normal

Using Z Values (high Merit and Excellence)

Introduction

A bit more Theory

Worked Exercises

Factorising

Simplifying Algebraic Fractions

Adding Algebraic Fractions

Power Laws

Power Laws (high Merit)

Simplifying Simple Log Expressions

Solving Simple Exponential Equations

Complex Exponential Equations (Merit)

Using the Discriminant (high Merit)

Parabolic Paths (Merit)

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)