Do Now Find the square roots 1. √16 2. √36 3. √81 4. √49 5. √-25 6. √32.

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Presentation transcript:

Do Now Find the square roots 1. √16 2. √36 3. √81 4. √49 5. √ √32

When it’s hip to “b 2 ” Given quadratic equations, students will find solutions using the quadratic formula.

Quadratic formula: X =

x = 3 +/- √16 x = 3 +/- 4 x = x = 3 – 4 = 7 = -1

x = 1 +/- √25 x = 1 +/- 5 x = x = 1 – 5 = 6 = -4

x = -5 +/- 1 2 x = x = x = -4 x = x = -2 x = -3

(I DO) Simplify: 8 +/- √ /- 4√ /- √3 √48 √16 √3 4 √3

Simplify: /- √ /- √ /- √ /- √

Quadratic Formula Now let’s try plugging in the information and simplify. SOLVE: 1.5x 2 + 3x - 1 = 0 2.2x 2 - 7x + 2 = 0

RESPONSE CARDS Simplify: -8 +/- √48 6

Can this be simplified? Thumbs up or down 3 +/- √32 4

RESPONSE CARDS Simplify: 2 +/- √33 4

RESPONSE CARDS Simplify: -1 +/- √14 -6

Tell your partner what are the 4 ways to find a solution to a quadratic equation? 1. Graphing 2. X-Puzzle (Factoring) 3. Square Root 4. Completing the square

Given: 2x 2 - 5x + 4 = 0 How do we find the solutions? 8 -5 NO ANSWER! What do we do?

Quadratic formula: X =

A negative boy Wasn’t sure whether or not To go to this radical party Instead the boy was square And he missed out on 4 awesome chicks But it was all over at 2 am The PartyThe Party

- b A negative boy

± Wasn’t sure whether or not

√ To go to this radical party

b Instead he was square ²

- 4ac And he missed out on 4 awesome chicks

2a But it was all over at 2 am

When do we use the Q.F.? When trying to find solutions: First try: x - puzzle - Uh oh! x-puzzle doesn’t work! Second try: quadratic formula Write a sentence in your own words describing when to use the Q.F.

Example 1: 2x 2 - 5x + 4 = 0 a = 2b = -5c = 4 (-5) 2 (2)(4) (2) -(-5)

Example 3: 5x 2 + 4x - 2 = 0 a = 5b = 4c = -2 (4) 2 (5)(-2) (5) -(4)

Example 2: 2x 2 - 8x + 1 = 0 a = 2b = -8c = 1 (-8) 2 (2)(1) (2) -(-8)

(-8) 2 (2)(1) (2) Solutions!

Quadratic Formula Comic Fold paper into 6 boxes Each box is part of the quadratic formula Draw a picture to represent each part of the party Due by Thurs/Friday

Example 4: 3x 2 - 5x + 1 = 0 a = 3b = -5c = 1 (-5) 2 (3)(1) (3) -(-5)

T.O.D. 1.Simplify: 4 +/- √ Write the quadratic formula.

ALGEBRA 1P GAME PLAN Date3/23/11 Wednesday Section / TopicNotes #118: 9-7a: Quadratic formula Lesson GoalSTUDENTS WILL SIMPLIFY RADICALS & KNOW THE QUADRATIC FORMULA ON A T.O.D. Algebra California Standard 19.0 Students know the quadratic formula and are familiar with its proof by completing the square. Homework #118 COPY THE QUADRATIC FORMULA ? X Announcements Chapter 9 Quadratics Test: Next Wed, 3/30

Do Now 1. What are the solutions of 5x 2 + 6x = - 1? 2. What are the x-intercepts of 2x 2 – 5x + 4 = 0?