Maths With Dave/A Level Maths Mastery 0 - Algebra Foundations

  • Free

A Level Maths Mastery 0 - Algebra Foundations

  • Course
  • 21 Lessons

Lock down your foundations in this short course full of video lessons, exam technique, exercises and worked solutions.

Contents

What's this course all about?

Strong foundations are the key to learning advanced material more easily, quickly and confidently.

A lot of the time, knowledge is assumed right at the beginning of the A level course that was learned in GCSE Maths or Additional Maths - but often students have some skill gaps, or you've lost some of your maths over the Summer holiday.

Whether you're here because you're just getting started and want to make sure you're ready, or you're in the middle of your A level course and you want to double check your foundations, this course provides a quick overview of some of the essentials.
What you'll be doing

The Lessons

Laws of Indices - Lesson 1
Laws of Indices - Lesson 2
Laws of Indices - Lesson 3
Surds - Introduction
Surds - Lesson 2
Surds - next step
Quadratic Factorising - Basics
Quadratic Factorisation Exercise
Quadratic Factorisation Solutions
Harder Quadratic Factorisation
Harder Quadratic Factorising - Exercise
Harder Factorising - Solutions
Transformations of Functions
Transformations of Functions Examples
Transformations of an Ellipse
Completing the Square 1 (The Basics)
Completing the Square 2
Completing the Square 3 - Applications

All done!

In this course you have worked through some important key skills and ideas for A level maths:

  • Laws of indices, which leads to exponentials, logarithms and calculus
  • Surds, which become an increasingly natural form of expression in higher level work
  • Quadratic factorisation, leading to cubic factorisation (and much more!)
  • Function transformations, which is not only a topic in its own right, but a key perspective to be able to use in understanding the behaviour of functions
  • Completing the square and its applications

Remember to check out my other A-Level Courses and, if you found this course helpful it would be hugely appreciated if you could leave a quick review!


A couple of great (and free!) resources to explore...
BONUS - intro to exponentials and logs