MS Algebra – Ch. 10.7 Quadratic Formula

Mr. Deyo

Learning Target

By the end of the period, I will use the quadratic formula to solve for the roots of a quadratic equation.

I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Title: 10.7 Quadratic Formula Date:

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?

2) Section 10.7 Pg. 652-653 3) Section ______

TxtBk. Problems 15-27 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?

Table of ContentsDate Description Date Due

Storm Check (Think, Write, Discuss, Report)

Questions on which to ponder and answer:1. How are the two images similar?

2. How are they different?

3. How can these two images be related to math?

1) Quadratic Equation

2) Quadratic Formula

3) Roots

4) Discriminant

Vocabulary

DAY 3 and/or DAY 4

1. Review the word

Friendly Definition

Physical Representation

2. Show how the word works

Synonyms/antonym

Word Problems

Related words/phrases

Example/non-example

Friendly DefinitionSketch

Wordwork Sentence

DAY 2

1. Review word

Friendly Definition

Physical Representation

2. Draw a sketch

DAY 5

1. Review the word

Friendly definition

Physical Representation

3. Write a sentence

at least 2 rich words (1 action)

correct spelling

correct punctuation

correct subject/predicate agreement

clear and clean writing

DAY 1

1. Use Visuals

2. Introduce the word

Friendly Definition

Physical Representation

3. Use Cognates

4. Write friendly definition

5. Physical Representation

Word List1.2.3.4.

Notes:

Quadratic Formula

Discriminant

Quadratic Equation ax2 + bx + c = 0

Perfect Squares: 1, 4, 9, 16, 25, 36, 49,

64, 81, 100, 121, 144

Problem A Find the roots of a polynomial

Find the roots of x2 – 6x +3.

Problem A Find the roots of a polynomial

SOLUTION

The roots of are the values of x for whichx2 – 6x + 3x2 – 6x + 3 0.=

=x( )6–– 4

2( )1

–( )26– ( )1 ( )3 Substitute values in the quadraticformula: a 1, b 6, and c 3.= = – =

–+

=x2a

– b –b2 4acQuadratic formula

–+

Find the roots of x2 – 6x +3.

Prob. A Find the roots of a polynomial

2= 6 62–+

=2

3 6( )2= –+3 6–+

Simplify.

26

=24–+

ANSWER The roots of arex2– 6x+3

+3 6 –3 6.and

Simplify radical.

Divide out factor of 2.

Problem B

Find the roots of x2 + 4x –1.

Problem B

Find the roots of x2 + 4x –1.

+2– 5, –2– 5ANSWER

Storm Check (Think, Write, Discuss, Report)

What numbers can you use as factors to simplify the radical (square root) in the quadratic formula?

To simplify the radical in the quadratic formula, you

can use __________________________ as factors.

Problem A

4z2 = 7z + 2Use the quadratic formula to solve the equation.

Problem A

41

, 2–ANSWER

4z2 = 7z + 2Use the quadratic formula to solve the equation.

Multiple Choice PracticeProblem B

Which is one of the solutions to the equation

2x2 –7=x?

4

157–

4

157+

4

+1 57–

4

+1 57

Multiple Choice PracticeProblem B

SOLUTION

Write original

equation.2x2 –7 = x

2x2 – x = 0–7Write in standard

form.

Which is one of the solutions to the equation

2x2 –7 = x?

41

57–41

57+

4+1 57–

4+1 57

Multiple Choice PracticeProblem B

ANSWER

One solution is

The correct answer is D.4

+1 57.

Quadratic formula=x

2a

– b –b2 4ac–+

Simplify.

4

1 57=

–+

( )1–– – 4( )21– ( )2 ( )7

2( )2

–=

–+

Substitute values

in the quadratic

formula: a 2, b –1, and

c –7.= ==

Storm Check (Think, Write, Discuss, Report)

When using the quadratic formula, can calculating value of the discriminant save you time? Why?

When using the quadratic formula, I can save time

by calculating the value of the discriminant because

___________________________________________

___________________________________________

___________________________________________.

1) Quadratic Equation

2) Quadratic Formula

3) Roots

4) Discriminant

Vocabulary

Home Work 1-2-3: 1) Storm Check Pasted in Notebook?

2) Section ______ 3) Section ______

Txtbk. Problems_________ Notes Copied in Notebook? Pasted & Solved in Notebook?

Learning Target

By the end of the period, I will use the quadratic formula to solve for the roots of a quadratic equation.

I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

Title: 10.7 Quadratic Formula Date:

Ticket OUT.

2. x2 – 5x = –21

Use the quadratic formula to solve the equation.

1. x2 8x 16= 0– +

Ticket OUT.

ANSWER 4 ANSWERno

solution

2. x2 – 5x = –21

Use the quadratic formula to solve the equation.

1. x2 8x 16= 0– +