Number
Algebra
Ratio Proportion & Rates of Change
Geometry & Measure
Probability
Statistics
Simplify and manipulate algebraic expressions (including those involving surds {and algebraic fractions}) by:

- factorising quadratic expressions of the form x2 + bx + c, including the difference of 2 squares; {factorising quadratic expressions of the form ax2 + bx + c}
- simplifying expressions involving sums, products and powers, including the laws of indices

Know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments {and proofs}

Where appropriate, interpret simple expressions as functions with inputs and outputs; {interpret the reverse process as the ‘inverse function’; interpret the succession of 2 functions as a ‘composite function’}

Use the form y = mx + c to identify parallel {and perpendicular} lines; find the equation of the line through 2 given points, or through 1 point with a given gradient

Identify and interpret roots, intercepts and turning points of quadratic functions graphically; deduce roots algebraically {and turning points by completing the square}

The KS4 NC Algebra statements together with the available resources can be viewed by scrolling down the page. Other groups of topics may be viewed via the above buttons or by using the interactive list.