Quadratics

Quadratics: Completing the Square, the Discriminant and Solving Quadratic Equations

be able to solve quadratic equations by factorising, by completing the square and by using the quadratic formula · be able to complete the square of a quadratic expression and use the result to sketch the graph and identify the vertex and line of symmetry · understand and use the discriminant b^2 - 4ac to determine the nature of the roots of a quadratic equation · be able to solve equations that can be reduced to a quadratic in a function of x (e.g. quadratic in x^2 or in sqrt(x))

Quadratic Inequalities and Linear-Quadratic Simultaneous Equations

be able to solve simultaneous equations in two unknowns (linear-linear and linear-quadratic) algebraically and graphically · be able to solve linear and quadratic inequalities, expressing solution sets using inequality and interval notation · understand how to represent linear and quadratic inequalities graphically, including regions defined by multiple inequalities