Algebra 1 
Section 1  Polynomial expressions
Simplifying expressions 

Multiplication  Expanding brackets 

Perfect square quadratic expressions 

Long division  array method 

Section 2  Polynomial functions
Problem in context 

Adding/subtracting functions


Evaluating polynomial functions 

Section 3  Factorising algebraic expressions 
There are 6 methods of factorising required for the LCHL Course

Difference of two squares (DOTS) 

Factorising to simplify an algebraic fraction


Factorising quadratic expressions 

Sum and difference of two cubes 

Section 4  Simplifying algebraic expressions
Simplifying fractions with common factors 

Adding/subtracting algebraic fractions 

Simplifying fractions using multiplication 

Section 5  Binomial expansions
Using the Binomial Theorem 

Section 6  Algebraic identities
Coefficients of like powers are equal on both sides of the equation 

Section 7  Manipulating formulae
Changing the subject of a formula  balance method 

Section 8  Algebraic patterns
Linear pattern problem 

Quadratic pattern problem 

Section 9  Solving equations
Linear equations  Balance method 

Section 10  Solving simultaneous linear equations
Solving: 2 unknowns


Solving: 3 unknowns


Problems in context 
