• Chapter 1 – Quadratics

    When students have completed this lesson they should be able to:

    • Carry out the process of completing the square for a quadratic polynomial and use a completed square form
    • Find the discriminant of the quadratic polynomial and use the discriminant
    • Solve quadratic equations and quadratic inequalities in one unknown
    • Solve by substitution a pair of simultaneous equations of which one is a linear and one is a quadratic
    • Recognize and solve equations which can be reduced to quadratic equations by substitution
    • Understand the relationship between a graph of a quadratic function and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations.
    • Locate the vertex and the axis of symmetry of the quadratic graph