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Unit 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