GCSE Intermediate

ALGEBRA

Collecting like terms
Multiply out single and double brackets
Factorise expressions
Factorise quadratic expressions including difference of 2 squares
Cancel common factors in rational expressions
Substitute positive and negative numbers into expressions
Solving equations with integer or fractional coefficients - one unknown; unknown on both sides;
inc. brackets; negative solution
Substitute numbers into a formula
Change the subject of a formula inc. where the subject appears twice, or as a power.

Solve Simultaneous equations algebraically and graphically
Solve linear inequalities and represent solution on a number line
Solve several linear inequalities in 2 variables and find the solution set
Solve quadratic equations by factorizing

Trial and Improvement

Generate integer sequences inc. squares; powers of 2; powers of 10; triangular numbers
Generate sequence using term to term and position to term definitions
Find the nth term of a sequence

Plot Coordinate in all 4 quadrants
Recognise y = mx+c correspond to straight line graphs
Plot graphs of functions in which y is give explicitly in terms of x
Construct linear functions from real life problems and plot corresponding graphs
Discuss and interpret graphs from real life situations
Find the gradient of lines in the form y = mx + c; understand that m = gradient and c = y intercept;
explore the gradient of parallel lines
Plot quadratic functions
Find approximate solutions of a quadratic equation from the graph of the corresponding quadratic function
Plot simple cubic functions
Plot the reciprocal function
Recognise the shapes of all of these functions

Construct the graphs of simple loci