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