1. Today’s Objectives: Today’s Agenda 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 Homework #14: Handout – Quadratic Formula Due Today: HW #13 Citizenship Reflection Portfolio Skill 1

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

3. 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

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

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

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

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

8. 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 6.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. 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 9.Take square root of both sides

10. 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 10.Simplify right- hand-side

11. 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 11.Subtract from both sides

12. 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 12.Simplify right- hand-side

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