Y1 Pure, Chapter 7:

Algebraic methods

Y1 Pure Chp7 KO.pdf

Knowledge organiser

Edexcel AS level - P1 Ch7 - Algebraic Methods.pdf

Textbook chapter

Y1 Pure Chp7 Solutions.pdf

PMT solutions

Y1 Pure 7.1

Algebraic fractions

Simplifying of fractions

Simplifying algebraic fractions

Algebraic & vulgar: proper fractions & improper fractions

Y1 Pure 7.2

Dividing polynomials

Polynomial division using the grid method

+B6:06-08 (long division and other methods)

Examples of polynomial division

+B6-10

Simplifying using polynomial division

Y1 Pure 7.3

Factor theorem

Intro: Factor Theorem

+B6-12 (example)

Solving problems and extending the factor theorem

EXTENSION proof of the factor theorem

Y1 Pure 7.4

Mathematical proof

Intro: proof

Consequence and equivalence

+A1-03 (examples)

Intro: proof by deduction

+A1-07 (examples)

Y1 Pure 7.5

Methods of proof

Intro: proof by exhaustion

+A1-05 (examples)

Intro: disproof by counter example

+A1-09 (examples)

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