Knowledge organiser
Textbook chapter
PMT solutions
https://sites.google.com/view/mathematics-videos-geogebra/home/a-level-year-1/02-algebra-indices-and-surds
Y1 Pure 1.1
Index laws
Laws of indices
Y1 Pure 1.4
Negative and fractional indices
Examples of negative indices
Examples of positive rational (fractional) indices
+B1-04 (negative)
More complicated examples
+B1:06-10 (changing bases)
Y1 Pure 1.2
Expanding brackets
Multiplying polynomials
Expanding three or more brackets
Y1 Pure 1.3
Factorising
Factorising quadratics of the form x^2 + bx + c
+B3-03 (a not 1)
Factorising quadratics using the difference of two squares
Factorising quadratics using a calculator
Y1 Pure 1.5
Surds
Intro: surds and simplifying
B2-02 (simplifying)
Adding/subtracting surds
Expanding single brackets with surds
+B2:05-07
Y1 Pure 1.6
Rationalising denominators
Intro: rationalising the denominator, part 1
+B2:09-11 (examples and part 2)
More complicated examples of rationalising the denominator
+B2-12
Solving equations with surds
+B2:14-16