Algebraic methods and Proof
Section overview:
The PowerPoint below provides an overview of material in this topic, including explanations and examples - for the full experience, open in a new tab then download it. All exercise references are to the new specification Pearson textbook - you can access the digital version for free or buy your own for extra practice.
Written summary notes are also given below for quick revision of key points, plus a selection of exam-style questions (with solutions) to test your understanding.
![](https://www.google.com/images/icons/product/drive-32.png)
Can you spot the mistake in this 'proof'?
Click here for some more 'proofs without words'.
Notes:
Section 1 Notes - Proof
Section 2 Notes - Rational expressions
Section 3 Notes - Partial fractions
Extra resources:
Use the videos below to support your understanding of the topic. The ones on the left are specific to the course, building up to demos of exam-style questions; the ones on the right are for your own amusement, although the alternative outlook may provide you with a deeper overall understanding and appreciation of the topic.
Playlist 1 - Proof
Playlist 2 - Algebraic fractions and partial fractions
Extra fun! Another look at the infinite primes proof with some added historical context. (There are lots of other videos about primes following on from this if you are interested...)
Remember, James Grime also provided with the proof that root 2 is irrational way back in Y12: Algebraic expressions