day 9 - completing the squares & quadratic …...2018/02/08 · day 9 completing the squares &...

Day 9 Completing the Squares & Quadratic Formula Deriving & Discriminant Notes 1.notebook

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February 08, 2018

Warm-Up 2/8/18Make the following perfect square trinomials and factor.

1. x2 + 14x + ___ = ( )2

2. x2 - 9x + ___ = ( )2

3. x2 - 18x + ___ = ( )2

4. x2 + 2x + ___ = ( )2

5. x2 + 5x + ___ = ( )2


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February 08, 2018

Opening: 2/8/18Review: Factor the following trinomials.

1. x2 - 6x + 9 2. x2 - 10x + 25

• How does the constant term in the binomial relate to the b term in the trinomial?

• How does the constant term in the binomial relate to the c term in the trinomial?


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February 08, 2018

Agenda for Today 2/8/181. Warm-Up/Opening2. Presentations of defense

for Matt or Marcus and present your error analysis for Emma's error.

3. Post-It Check on Completing the Square

4. Choose your activity5. Quadratic Formula


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Presentations


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Post-It

Check!!!

x2 6x 72 = 0

Solve by completing the square.


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February 08, 2018

Partner Review Activity (30 mins)

Choose your activity!1. Solving by Factoring Connect 4 Partner

Activity2. Quadratic Equations Coloring Worksheet3. Who killed Mr. Quadratic?


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February 08, 2018

Essential Question 2/8/18

How is the Quadratic Formular developed by completing the square?


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Deriving the Quadratic Formula


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Positive, b2-4ac > 0

Positive, b2-4ac = 0

Negative, b2-4ac < 0

Two real solutions

One real solution

No real solution(two imaginary solutions)


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February 08, 2018

Attachments

Day 4 Quiz Review Jeopardy.ppt

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Factoring By Grouping

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Factoring Trinomials

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Solving Polynomials

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Factoring Special Products

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Application Problems

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Factoring By Grouping

Factoring Trinomials

Solving Polynomials

Factoring Special Products

Application Problems

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Factoring By Grouping- $100

Factor

6z(z – 4)+7(z – 4)

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Factor

x3 + x2 + 2x + 2

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Factor

x2 + 8x – xy – 8y

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Factor

10n3 – 8n2 + 50n – 40

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Factor

8b3 – 4b2a – 18b + 9a

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Factoring Trinomials- $100

Factor

r2 + 15r + 56

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Factor

2x2 – 9x + 4

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Factor

2m2 – 10m – 70

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Factor

-18c2 – 12c + 6

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Factor

6x3 – 10x2y – 56xy2

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Solving Polynomials- $100

Solve

(4p – 7)(p+5) = 0

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Solve

-8u2 + 28u = 0

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Solve

b2 – 11b = -24

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Solve

4y2 + 31y = 8

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Solve

m3 – 3m2 = 4m – 12

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Factoring Special Products- $100

Factor

49 – 121p2

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Factor

49a2 + 14a + 1

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Factor

72 – 32y2

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Factor

4z2 + 48z + 144

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Factor

16m2 – 8mn + n2

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Application Problems- $100

The area of a rectangle is x2–25 square feet. What are the dimensions of the rectangle?

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The length of a rectangle is four times the width. The area is 36 sq. meters. Find the dimensions of the rectangle.

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A rectangular prism has a length of (x+4) in., a width of (x – 1) in., and a height of x in. If the volume of the rectangle is 12 cubic inches, find the dimensions.

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A cliff diver jumps from a ledge 96 feet above the ocean with an initial velocity of 16 feet per second. How long will it take her to enter the water?

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A grasshopper jumps up from the ground with an initial velocity of 8 feet per second. After how long is the grasshopper 1 foot above the ground?

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(6z + 7)(z – 4)

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(x+1)(x2+2)

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(x+8)(x – y)

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2(5n-4)(n2+5)

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(2b – a)(2b – 3)(2b+3)

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(r+7)(r+8)

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(2x – 1)(x – 4)

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2(m2 – 5m – 35)

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-6(3c – 1)(c+1)

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2x(3x+7y)(x – 4y)

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x = 7/4 or x = -5

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x = 0 or x = 7/2

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x = 3 or x = 8

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x = ¼ or x = -8

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x = 3, x = 2, or x = -2

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(7+11p)(7 –11p)

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(7a+1)2

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8(3+2y)(3 – 2y)

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4(z+6)2

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(4m – n)2

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(x+5)ft by (x – 5)ft

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3 meters by 12 meters

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6in. by 1 in. by 2 in.

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3 seconds

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¼ seconds

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2610.unknown

Application

Problem

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Process Writing Question

The formula for the area of a circle is A=πr2 where r stands for the radius. A circle has an area of (x2 – 6x + 9)π square centimeters. What is the radius of the circle?

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Process Writing Question

The radius is (x – 3) centimeters

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END OF GAME

Daily Doubles and

usage notes follow...

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JEOPARDY! Slide Show Notes

The font for the question & answer slides is “Enchanted;” a copy of this font in located in the “REAL Jeopardy Template” folder. (This font will need to be installed in the C:/WINDOWS/FONTS folder of the computer running the show.) In order to keep all of the sounds and fonts together, copy the entire “REAL Jeopardy Template” folder.

To change the categories:

1. Go to “Edit” and “Replace…”

2. In the Find box, type CATEGORY 1 (all caps)

3. In the Replace box, type the category in all caps (for example, PRESIDENTS)

4. Click Replace All...

To use the Daily Double:

1. Choose which dollar values to set as Daily Double

2. Link that dollar value to one of the DD slides

3. Link the arrow on the DD slide to the correct question slide (so dollar/category match)

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Running the JEOPARDY!

Slide Show

On the game board with the categories on top, click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show.)

ICONS:

? Go to the answer screen.

House Go back to the game board.

Right Arrow (on Daily Doubles) Go to the question screen.

Turned-up Arrow Reload question screen after incorrect guess

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SMART Notebook

Page 1: Feb 1-4:53 PMPage 2: Feb 8-12:46 AMPage 3: Feb 1-4:54 PMPage 4: Feb 8-1:02 AMPage 5: Feb 8-11:52 AMPage 6: Feb 8-1:02 AMPage 7: Feb 8-11:59 AMPage 8: Feb 8-1:10 AMPage 9: Feb 8-1:03 AMPage 10: Feb 6-1:17 AMPage 11: Feb 7-1:59 AMPage 12: Feb 8-1:33 AMPage 13: Feb 8-1:34 AMPage 14: Feb 8-1:34 AMAttachments Page 1

day 9 - completing the squares & quadratic …...2018/02/08 · day 9 completing the squares &...

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