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  1. Pre-Calculus 1 Today’s Agenda Today’s Objectives: • Portfolio Due • HW #13 Due • Do Now • SWBAT… • Explain relationship between completing the square of a standard form quadratic equation and the quadratic formula • Name the quadratic formula • Apply the quadratic formula to solve quadratic equations • Group Share 3. Notes: Quadratic Formula 4. Work in Pairs 5. Ticket-to-Go! Due Today: • HW #13 Citizenship Reflection • Portfolio Skill 1 Homework #14: • Handout – Quadratic Formula

  2. Why might we need another way to solve quadratic equations?How could you solve a quadratic equation that had fractions and decimals? Group share

  3. Derivingthe Quadratic formula

  4. We can derive the Quadratic Formula by “completing the square” of

  5. Subtract constant term from both sides • 2. Rewrite equation

  6. 3. Divide both sides by a • 4. Simplify What will make this a perfect square trinomial?

  7. 5. Find the constant term of perfect square trinomial Add this to both sides

  8. Add • to both sides • 7. Simplify the right-hand-side; find a common denominator • 8. Rewrite left side as perfect square and simplify further

  9. 9. Take square root of both sides

  10. 10. Simplify right-hand-side

  11. 11. Subtract • from both sides

  12. 12. Simplify right-hand-side

  13. Remember, this breaks out to give two different answers