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Understanding Quadratic Equations: Quadratic Formula and Discriminant

In this lesson, students will learn to solve quadratic equations using the Quadratic Formula. We will also explore the discriminant, which helps in determining the number and type of roots for quadratic equations. Assignments include evaluating expressions, solving equations, and analyzing the discriminant for given equations. Homework from the textbook includes selected problems, and a quiz is scheduled for Thursday to assess understanding of solving quadratics through various methods. Open notes are permitted for the quiz to support student learning.

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Understanding Quadratic Equations: Quadratic Formula and Discriminant

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  1. Tuesday, June 4, 2013 Do Now: Evaluate when x = 6, y = -2 and z = 3

  2. Check your Homework • Text p. 304 #s 15-37 odd 15) 27) 17) 29) 19) 31) 21) 33) 23) 35) 25) 37)

  3. 6-5 The Quadratic Formula and the Discriminant Objectives Students will be able to: Solve quadratic equations by using the Quadratic Formula Use the discriminant to determine the number and type of roots of a quadratic equation

  4. Using the quadratic formula is yet another way to solve quadratic equations. • Find the solutions of a quadratic equation in the form

  5. Solve each equation by using the quadratic formula. 1)

  6. 2)

  7. 3)

  8. 4)

  9. Try these. 5) 6)

  10. The discriminant • The discriminant is the expression within the quadratic formula that is • can be used to determine the number and type of roots of a quadratic equation.

  11. Find the value of the discriminant for each quadratic equation. Then describe the number and type of roots for the equation. 1) 2)

  12. 3) 4)

  13. Try these. 5) 6)

  14. Homework • Text p. 318 #s 16-23 all Quiz Thursday, June 6 on Solving Quadratics by Graphing, Factoring and Quadratic Formula (Sections 6.1, 6.2, 6.3, 6.5 and 6.6) *OPEN NOTES!*

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