## Factorising quadratic expressions

How to factorise a quadratic expression into two brackets (binomials) including when the coefficient (number in front) of the squared term is more than 1.

## Trigonometry: finding side lengths in right-angled triangles

Worked examples showing how to find side lengths in right-angled triangles using the Sine, Cosine and Tangent ratios.

## Trigonometry: finding angles in right-angled triangles

How to find the size of angles in right-angled triangles using the Sine, Cosine and Tangent ratios.

## Introduction to Trigonometric Ratios

An introduction to Trigonometric (Trig) Ratios in right-angled triangles. How the side lengths are connected to the angles and how to remember the ratios using SOH CAH TOA.

## Factorising expressions: example

An example of factorising an expression into a single bracket.

## Prime Factor Decomposition

Breaking numbers down into their prime factors and writing numbers as a product of their prime factors, including the use of index form.

## Integers & Place Value

An introduction to integers and examples of using a known calculation to find the answer to related calculations.

## Expanding and simplifying: example

A simple example of expanding (multiplying out) double brackets

(x + 3)(x – 4)

For more on this topic, see expanding-double-brackets

## Expanding double brackets

Expanding (multiplying out) double brackets using the FOIL method to ensure that all the terms are multiplied.

The expressions in the brackets are called binomials because they consist of two terms that are either added or subtracted.

After multiplying the binomials it is important to simplify the final expression by collecting like terms.