Algebra and Functions

In this lesson we shall cover

  • Introduction to Core 1
  • Collecting like terms
  • Laws of indices
  • Expanding single brackets
  • Expanding double brackets
  • Factorising single brackets
  • Factorising double brackets
  • Factorising harder double brackets
  • Difference of Two Squares (DOTS)
  • More laws of indices
  • Manipulating surds
  • Rationalising the denominator

Introduction to Core 1

What you need to know about AS-Level Maths, the modules, the course we cover, and examinations

Collecting like terms

how to collect like terms that are separated by + or - signs

Laws of indices

Basic laws of indices which include multiplying and dividing indices

Expanding single brackets

Here we multiply out a single bracket, dont mess up the signs

Expanding double brackets

Here we use the method of FOIL to expand two brackets

Factorising single brackets

How to factorise an expression by taking out a common term

Factorising double brackets

How to factorise an expression into two brackets

Factorising harder double brackets

Here we factorise expressions in the form ax2+bx+c, where a>1

Difference of Two Squares (DOTS)

We factorise terms in the form x2-y2 into two brackets

More laws of indices

Here we go through the more advanced laws of indices including roots and reciprocals

Manipulating surds

We learn the laws of surds and begin to simplify surds

Rationalising the denominator

Here we ensure the denominator of our fraction does not contain a surd

Lesson Resources

You need to have access to view this lesson! Check if you have access by Logging in