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Discriminant Activity Question: How is the discriminant used to determine the number and type of solutions to a quadratic equation? Launch: Students will be given a half-sheet of paper with 5 quadratic equations that are not in standard form. Students will have to match the a, b and c values to the correct quadratic equation. Students will have 2 minutes to check with a partner and problem solve if there are discrepancies. Investigation: Discovering the Importance of the Discriminant Activity FUNCTION a b c Discriminant b 4ac 2 y x2 6 x 5 y 2 x 2 11 y x2 6x 9 y 3x 2 8 y 3x 2 12 x 8 Sketch of Graph # of times the graph crosses or touches the x-axis # of real solutions # of imag solutions y 3x 2 x 5 y x 2 10 x 25 y 4 x 2 8 x 13 FUNCTION a b c Sketch of Graph Discriminant b 2 4ac # of times the graph crosses or touches the x-axis # of real solutions # of imag solutions y 5x2 8x y x 2 12 Conclusions/Closure: On a separate sheet of paper, answer the following: Make a general statement about the value of the discriminant and what type of solutions a quadratic has.