 by the end of this lesson you will be able to:- use the quadratic formula to solve a quadratic equation- interpret real and non-real roots of quadratics- use the discriminate to determine how many solutions a quadratic will have video for the proof of the quadratic formula

Ontario curriculum

Overall Expectations

- solve quadratic equations and interpret the solutions with respect to the corresponding relations;

- solve problems involving quadratic relations.

Specific Expectations:

- determine, through investigation, and describe the connection between the factors of a quadratic expression and the x-intercepts (i.e., the zeros) of the graph of the corresponding quadratic relation, expressed in the form y = a(x – r)(x – s)

- interpret real and non-real roots of quadratic equations, through investigation using graphing technology, and relate the roots to the x-intercepts of the corresponding relations;

- solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology