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
Why might we need another way to solve quadratic equations?How could you solve a quadratic equation that had fractions and decimals? Group share
Derivingthe Quadratic formula
Subtract constant term from both sides • 2. Rewrite equation
3. Divide both sides by a • 4. Simplify What will make this a perfect square trinomial?
5. Find the constant term of perfect square trinomial Add this to both sides
Add • to both sides • 7. Simplify the right-hand-side; find a common denominator • 8. Rewrite left side as perfect square and simplify further
11. Subtract • from both sides