Students will use online graphing software, Desmos Graphing Calculator, to discover what the discriminant tells us about a given quadratic equation. This activity allows students to conclude that the discriminant will provide information about how many x-intercepts (solutions) the quadratic equation has by working through and graphing various quadratic functions.
This is a great way for students to come up with why the discriminant is so useful without simply telling them the rule. Common core level activity. If students do not have computer access, regular graphing calculators can be used in the place of the Desmos online website.
Desmos graphing link: https://www.desmos.com/calculator