What you will learn:

1.01 Index laws
1.02 Zero and negative indices
1.03 Fractional indices
1.04 Simplifying algebraic expressions
1.05 Expansion
1.06 Binomial products
1.07 Special products
1.08 Factorisation
1.09 Factorisation by grouping in pairs
1.10 Factorising trinomials
1.11 Further trinomials
1.12 Perfect squares
1.13 Difference of two squares
1.14 Mixed factorisation
1.15 Simplifying algebraic fractions
1.16 Operations with algebraic fractions
1.17 Substitution
1.18 Simplifying surds
1.19 Operations with surds
1.20 Rationalising the denominator

Outcomes:

• identify and use index rules including fractional and negative indices
• simplify algebraic expressions
• remove grouping symbols including perfect squares and the difference of 2 squares
• factorise expressions including binomials and special factors
• simplify algebraic fractions
• use algebra to substitute into formulas
• simplify and use surds including rationalising the denominator