Knowledge organiser
Textbook chapter
PMT solutions
Y2 Pure 1.1
Proof by contradiction
Intro: proof by contradiction
Proving √2 is irrational
Proving √3 is Irrational
+A1-13 (alternative method)
Proving the cube root of 2 is irrational
Proving there are infinitely many primes
Proof by contradiction examples
Extension
Y2 Pure 1.2
Algebraic fractions
Simplifying algebraic fractions
Basic adding and subtracting fractions
+B6-19 (examples)
Adding and subtracting algebraic fractions
Y2 Pure 1.3
Partial fractions
Intro: partial fractions via substitution
+B10-05 (examples)
Partial fractions via comparing coefficients
THREE Partial Fractions
+B10-07 (examples)
EXTENSION: quadratic terms in the denominator
+B10-11 (examples)
Y2 Pure 1.4
Repeated fractions
Repeated factors in the denominator
+B10-09 (examples)
Y2 Pure 1.5
Algebraic division
EXTENSION: improper fractions