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WEDNESDAY, MAY 22

NOTES for Algebra Summative

Hints

2. Factor the denominator first, then

cancel

3-4. Factor the numerator and

denominator first, then cancel

5-6. Cross cancel then simplify

7-8. Flip the second fraction

8. Factor 4y + 20 and 2y - 6

9. Keep the denominator. Distribute

the - sign.

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FRIDAY, MAY 17

Pre-Algebra Warm-Up

Simplify each radical.

Algebra Warm-Up

Point T is the midpoint of line SU. Find the location of point T. Also find the distance TU.

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FRIDAY, MAY 17

Pre-Algebra Warm-Up

Simplify each radical.

Algebra Warm-Up

Point T is the midpoint of line SU. Find the location of point T. Also find the distance TU.

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THURSDAY, MAY 16

Pre-Algebra Warm-Up

Write the perfect squares from 1-400.

1²= 1

2²= 4

3²= 9

4²= 16

^.

20²

Algebra Warm-Up

The radius of a pancake is √8 cm. What is the area? Use 3.14 for π.

The diameter of a pancake is √18 cm. What is the circumference in terms of π?

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WEDNESDAY, MAY 15

Pre-Algebra Warm-Up

Copy the drawing and notes below onto your pink sheet.

Algebra Warm-Up

Simplify each rational expression.

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TUESDAY, MAY 14

Pre-Algebra Warm-Up

Draw each triangle on your pink sheet. Label the missing lengths.

Algebra Warm-Up

Simplify each radical expression.

√3 ∙ √8
3√2 ∙ 3√4
√24x²y⁶z⁹
2√45 + 4√20

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MONDAY, MAY 13

Pre-Algebra Warm-Up

The bottom layer of the cake has a diameter of 16 in. The middle layer has a diameter that is half of the bottom layer and the diameter of the top layer is half of of the middle layer. All 3 layers are 4 inches tall. Find the volume of the cake.

Algebra Warm-Up

Factor each polynomial.

x² - 9
x² - 2x - 6
x² + 6x + 9
3x² + 6x

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THURSDAY, MAY 9

Pre-Algebra Warm-Up

Find the area and perimeter of the figure.

Algebra Warm-Up

Find the distance between the points (-6, 1) and (-3, 1)

Find the midpoint of the line segment with the endpoints (7, -5) and (9, -1)

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Algebra Extra Credit

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WEDNESDAY, MAY 8

Pre-Algebra Warm-Up

Find the area and perimeter of the figure.

Algebra Warm-Up

3.6 yd

7.7 yd

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TUESDAY, MAY 7

Pre-Algebra Warm-Up

Point T is the midpoint of line SU. Find the location of point T. Also find the distance TU.

Algebra Warm-Up

√44x⁷y⁴

-2√80

√18x²

√2x

S

T

U

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MONDAY, MAY 6

Pre-Algebra Warm-Up

Write the name of the shape or solid that each formula belongs to.

πr²h

½bh

4πr²

½h(b₁ + b₂)

πr2 + πdl

Algebra Warm-Up

Rationalize the denominator for each problem.

5

√5

2. 2√5

√7

3. √5

(√7 - 2)

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FRIDAY, MAY 3

Pre-Algebra Warm-Up

Write the Midpoint and Distance Formula

Algebra Warm-Up

Write one “rule” when working with radicals.

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THURSDAY, MAY 2

Algebra Warm-Up

Simplify the Radicals

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THURSDAY, MAY 2

Pre-Algebra Warm-Up

Find the area of the shaded region.

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WEDNESDAY, MAY 1

Pre-Algebra Warm-Up

Keisha made a sandwich and decided to share it with her friend, Jianna. The sandwich is 15 cm long and 10 cm high. If she cuts it in half as shown in the illustration below, what would be the diagonal length of the sandwich.

10 cm

15 cm

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TUESDAY, APRIL 30

Pre-Algebra Warm-Up

Find the area of the shaded figures below.

A

B

C

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FRIDAY, APRIL 26

Pre-Algebra Warm-Up

This image shows a can of three tennis balls. The can is just large enough so that the tennis balls will fit inside with the lid on. The diameter of each tennis ball is 2.5 in. Find the percent of the can occupied by the tennis balls.

The formula for the volume of a cylinder is _____.
The formula for the area of the base is _____.
The area of the base in terms of π is _____.
The height of the tennis ball container is _____.
The volume of the cylinder is _____.
To find the volume of the tennis ball, the formula for the volume of a sphere is used. The volume of one tennis ball is _____.
The volume of three tennis balls is _____.
To find the percent of the can occupied by the tennis balls, the volume of the _____ is divided by the volume of the _____.
The percent of the can occupied by the tennis balls is _____.

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THURSDAY, APRIL 25

Pre-Algebra Warm-Up

Using the formula for the surface area a right cylinder shown below, find the SA of the cylinder shown.

Algebra Warm-Up

Simplify the following radicals.

6 cm

15 cm

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WEDNESDAY, APRIL 24

Pre-Algebra Warm-Up

The surface area of a basketball is approximately 283 square inches. Using the SA of a sphere formula (4πr²), can you find the radius? Round to the nearest tenth.

Algebra Warm-Up

Write the perfect squares from 1-400.

1²

2²

3²

4²

^.

20²

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TUESDAY, APRIL 23

Pre-Algebra Warm-Up

The surface area of a sphere is 4πr². Find the surface area of a baseball if its diameter is 74 mm.

Algebra Warm-Up

Graph the function:

g(x) = - ∛x + 3

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MONDAY, APRIL 22

Pre-Algebra & Algebra Warm-Up

We have a week of Palindrome Dates! Today is 4-22-24 which when written in reverse, makes 42-22-4! For Monday’s warm-up, follow these steps on your pink sheet.

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FRIDAY, APRIL 19

Pre-Algebra Warm-Up

Find the area and perimeter of this figure. When you are done, turn in your warm-up sheet on the stage.

Algebra Warm-Up

Find the area and perimeter of this figure. When you are done, turn in your warm-up sheet on the stage.

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THURSDAY, APRIL 18

Pre-Algebra Warm-Up

Find the area of this figure.

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WEDNESDAY, APRIL 17

Pre-Algebra Warm-Up

Write down as many area formulas you know for polygons.

Triangle:

Rectangle:

Square:

Parallelogram:

Rhombus:

Trapezoid:

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TUESDAY, APRIL 16

Pre-Algebra Warm-Up

Write the equation of the line that passes through the 2 points on the graph. Write the equation in PS, SI, and SF.

Algebra Warm-Up

Use the discriminant to determine how many x-intercepts the graph of each function has.

y = x² + 5x + 7

y = -½x² + 4x - 8

y = x² - 2x - 3

y = x² - x - 3

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MONDAY, APRIL 15

Pre-Algebra Warm-Up

1. Write the equation for the line

that passes through the points

(5, -9837) and (5, 4567).

2. What is the slope of the line?

3. Write the equation for the line

that passes through (34.56, 8)

and (56½, 8).

4. What is the slope of the line?

Algebra Warm-Up

1. Solve the equation using the

quadratic formula. Round to the

nearest tenth if necessary.

3x² + 2x - 3

a = ___

b = ___

c = ___

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FRIDAY, APRIL 12

Pre-Algebra Warm-Up

1. Use the drawing to write

the equation for line 13

in PS, SI, and SF.

Algebra Warm-Up

1. Solve the equation

using the quadratic

formula. Round to the

nearest tenth if

necessary.

2x² + 5x + 4

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THURSDAY, APRIL 11

Pre-Algebra Warm-Up

Use the drawing below to write the equation for line 2 in:

Point-Slope Form

Slope-Intercept Form

Standard Form

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WEDNESDAY, APRIL 10

Pre-Algebra Warm-Up

1. Use the drawing below to write

the equation for line ED in

Point-Slope Form,

Slope-Intercept Form, and

Standard Form.

Algebra Warm-Up

Visit this website and write down 3 new things you learned.

https://ashfall.unl.edu/index.html

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TUESDAY, APRIL 9

Pre-Algebra Warm-Up

1. Use the drawing below to write

the equation for line CB in

Point-Slope Form,

Slope-Intercept Form, and

Standard Form.

Algebra Warm-Up

What is the equation for the parabola in vertex form?

y=a(x-h)² + k

Remember: (h,k) is the vertex

Graph y = -12x²+24x

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MONDAY, APRIL 8

Pre-Algebra Warm-Up

1. Plot the points (4, 5) and (4, 1)

on a graph.

2. What would the equation be

for this line?

3. How would you write the

constraints for this line?

4. Do the same thing (1-3) for

the points (2, 1) and (5, 1)

video: https://youtu.be/yn8VqXOfvrc

Algebra Warm-Up

Find the AOS, the vertex, and the y-intercept. Then graph.

y = -x² + 2x + 1

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FRIDAY, MARCH 29

Pre-Algebra Warm-Up

Write down the following formats of linear equations on your pink warm up sheet.

y = mx + b

(slope intercept form)

y - y₁= m(x = x₁)

(point slope form)

ax + by = c

(standard form)

y = kx

(direct variation)

Algebra Warm-Up

No Warm Up

Shortened Class

Quiz

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THURSDAY, MARCH 28

Pre-Algebra Warm-Up

Click on the link below and follow the directions on the slides.

https://student.desmos.com/join/mvg9fu

On your pink warm up sheet, write “Match My Line on Desmos”

Algebra Warm-Up

Click on the link below and follow the directions on the slides.

https://student.desmos.com/join/g623es

On your pink warm up sheet, write “Match My Parabola on Desmos”

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WEDNESDAY, MARCH 27

Pre-Algebra Warm-Up

Click on the link below and follow the directions on the slides.

https://student.desmos.com/join/29ueq4

On your pink warm up sheet, write “Mini Golf Marbleslides on Desmos”

Algebra Warm-Up

Click on the link below and follow the directions on the slides.

On your pink warm up sheet, write “Parabola Zapper on Desmos”

https://student.desmos.com/join/qe6nxh

^{SIGN IN WITH GOOGLE!}

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TUESDAY, MARCH 26

Pre-Algebra Warm-Up

Watch Slope Dude (link below) and copy the picture from the video labeling the slopes (also shown below).

https://youtu.be/ZcSrJPiQvHQ?si=9bHjMXcFsrYsaHL2

Algebra Warm-Up

Graph these on Desmos.

You will write the statements on your pink sheet with me.

f(x) = x² - 7

g(x) = (x - 2)²

h(x) = (x + 2)² + 3

j(x) = 5x²

k(x) = -½x²

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MONDAY, MARCH 25

Pre-Algebra Warm-Up

After graphing these equations on Desmos…

Explain what the coefficient of x does to the line.
Explain what the constant does to the line.

y = x
y = 4x
y = 8x
y = x + 4
y = x + 8
y = x - 12

Algebra Warm-Up

After graphing these on Desmos, sketch a graph of each on your pink warm-up sheet

y = -x² - 3x + 18

y = x² + 8x + 16

y = 2x² + 6x + 8

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FRIDAY, MARCH 22

Pre-Algebra Warm-Up

Write down 4 ordered pairs that make this function true:

2x + y = 4

( , ) ( , ) ( , ) ( , )

Write down 4 ordered pairs that make this function true:

2x² + 3 = y

( , ) ( , ) ( , ) ( , )

How do you remember domain is “x” and range is “y”?

Algebra Warm-Up

f(x) = -x² - 4x - 3

Use the function to answer the 3 questions.

What is the AOS? (-b/2a)

What is the vertex? (AOS, y)

What is the y-intercept?

Graph the function

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THURSDAY, MARCH 21

Pre-Algebra Warm-Up

Is this relation a function? Explain.

{(6, 7), (-2, 4), (6, 5), (2, 4)}

Is this relation a function? Explain.

Is this graph a function? Explain.

Algebra Warm-Up

f(x) = 4x² - 12x + 3

Use the function to answer the 3 questions.

What are the a, b, and c values?

What is the AOS (Axis of Symmetry)? -b/2a

What is the vertex?

x	3	4	5	6
y	6	8	10	12

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WEDNESDAY, MARCH 20

Pre-Algebra Warm-Up

Graph x > 9 on a number line

Graph 9 > x on a number line

Solve the inequality and then graph on a number line

6 > -3x + 20

Algebra Warm-Up

Solve by factoring

(y - 3)² = 16

Factor: 25y² - 64

Factor: 16x² + 80x + 100

Factor 9x² + 12x + 4

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TUESDAY, MARCH 19

Pre-Algebra Warm-Up

List 3 ordered pairs that make this inequality true.

2x + y < - 4

( , ) ( , ) ( , )

Translate this sentence into an inequality:

You have to keep at least $500 in your account to earn the higher interest rate.

Algebra Warm-Up

Solve: (x + 5)² = 16

Solve (3h - 2)² = 4

What error was made?

x² + x² = 2x⁴

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MONDAY, MARCH 18

Pre-Algebra Warm-Up

> What does this symbol mean?

Write down 4 numbers that make this statement true:

x > 7

Write a statement for this situation: No more than 21 students can be on the bus.

Write a statement for this situation: 8-10 students can sit at each lunch table.

Algebra Warm-Up

True or False: x² + 5x + 6 is prime. If false, factor it.

True or False: The leading coefficient of 1 + 6a + 9a² is 1. If false, what is it?

Find the product:

(6x - 5)(x + 4)

Factor or Determine if Prime

2y² - 9y + 3

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WEDNESDAY, MARCH 13

Write 3 statements about the data.

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TUESDAY, MARCH 12

Write 3 statements about the data.

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The 96th Academy Awards (Oscars) took place last night (Sunday, March 10). This week’s warm-up graphs display information about this event. Remember, there is no school Thursday or Friday this week.

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The Academy Awards, casually called the Oscars, is a formal awards ceremony to honor the best achievements in filmmaking from the previous year. The Academy Awards, from the nomination and voting processes to the ceremony itself, are overseen by the Academy of Motion Picture Arts and Sciences.

The Academy has more than 10,000 members and is a professional honorary society of people involved in all aspects of making movies.

The first Academy Awards were distributed in 1929 at the Hotel Roosevelt in Hollywood. Cinema has changed since then, and so have the categories for awards. Currently there are 24 awards categories presented at the ceremony, with more Oscars handed out for other lesser achievements before the formal ceremony.

https://www.dummies.com/article/academics-the-arts/performing-arts/film/a-brief-history-of-the-oscars-170148/

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MONDAY, MARCH 11

Write 3 statements about the data.

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FRIDAY, MARCH 8

Write 3 mathematical sentences about the data.

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THURSDAY, MARCH 7

Go to this website:

https://www.usaswimming.org/news/2022/03/28/womens-olympic-swimming-through-the-years

Read about Women’s Olympic Swimming Throught the Years

List ONE on your pink sheet.

List the NAME and TWO things about the swimmer.

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WEDNESDAY, MARCH 6

Use the image to make

3 statements about the data.

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TUESDAY, MARCH 5

Use the image to make

3 statements about the data.

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MONDAY, MARCH 4

Use the image to make 3 statements/

questions about the data.

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Go to this website:

https://www.golfdigest.com/gallery/the-13-toughest-stretches-of-holes-in-golf

Read about the most difficult golf holes according to this source.

List ONE on your pink sheet.

List the NAME and one-two things about the hole.

FRIDAY, MARCH 1

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Use the image on the next slide to answer questions.

If someone swung their 4-iron 90 mph (top numbers), how far could they expect their ball to go?

What’s the difference in swinging a PW 100 mph and a Driver 100 mph?

What’s the difference in swinging a 5-iron 60 mph and 120 mph? Is it double the distance?

A par 3 hole is 210 yards. What is a reasonable club to use?

THURSDAY, FEBRUARY 29

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THURSDAY, FEBRUARY 29

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Use the image on the next slide to answer questions.

Look toward the bottom green section (PAR) and compare that to John’s score. How many holes did he par? Which holes?

A bogey is one over par and a double bogey is two over par. Did anyone triple bogey? If so, who was it and which hole?

What is the range in each players’ score on each hole?

WEDNESDAY, FEBRUARY 28

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WEDNESDAY, FEBRUARY 28

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Use the data on the next slide to answer questions.

What is the ratio of 3s to 4s?

What is the mode of the data?

If a score is circled, that means it was a birdie. If it has a square around it, that means it was a bogey. What is the ratio of birdies to bogeys?

What is one question you have about the data?

TUESDAY, FEBRUARY 26

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TUESDAY, FEBRUARY 26

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Use the data on the next slide to answer questions.

How many more hole-in-ones are made with a 5 iron compared to a 5-wood?

What is the range in average yardage?

What is one question you have about the data?

Have you ever gotten a hole-in-one? Do you know someone who has?

MONDAY, FEBRUARY 26

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MONDAY, FEBRUARY 26

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Use the data on the next slide to answer questions.

What is the MODE for the sizes sold.

What is the range for the prices shown.

What time of day was the highest price? Lowest price?

How much time elapsed between the first time listed and the last time?

FRIDAY, FEBRUARY 16

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FRIDAY, FEBRUARY 16

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Bianca & Mallorie		Austin & Abe
Thea and Britta		Mike & Sam
Blake & Hunter		Johnny & Calvin
Will & Hank		Connor & Jeremiah
Alice & Shelby		Stella & Stella
Masumi & Genevieve		Alia & Olive
Kendall & Emilie		Jeffrey & Cohen
Owen & Zoen		Luke & Rhett
Jacob & Brennan		Drew & Ryder
		Wyatt & Jesse

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Charlotte & Isabella	Eloise & Sonali
Samuel & Jackson	Keira & Libby
Rex & Max	Toby & Louise
Drew & Joseph	Arrow & Beck
Antonio & Maxfield	Michael & Charlie
Jasper & Remi	Luke & David
Lucy & Clarissa	Taylor & Finn
Whitney & Grace	Collin & Alexander

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Use the data on the next slide to answer questions.

What is the range of prices for all the Yeezy’s shown?

Highest - Lowest

If 826 have been sold in 3 days, approximately how many are sold in 1 day?

What is the median price of all 6 pairs shown?

Put them in order from least to greatest and find the middle number.

THURSDAY, FEBRUARY 22

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THURSDAY, FEBRUARY 22

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WEDNESDAY, FEBRUARY 21

Use the data on the next slide to answer questions about this pair of shoes.

What is the $ difference in the 12-month trade range?
The average sale price is $555. During what months were the shoes this price?
What is the difference in the average sale price and the retail price?

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WEDNESDAY, FEBRUARY 21

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Write 3 questions/

statements about the graph

on the next 2 pages.

FRIDAY, FEBRUARY 16

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FRIDAY, FEBRUARY 16

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FRIDAY, FEBRUARY 16

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Write 3 questions/

statements about the graph

on the next page.

THURSDAY, FEBRUARY 15

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THURSDAY, FEBRUARY 15

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Write 3 questions/

statements about the graph

on the next page.

WEDNESDAY, FEBRUARY 14

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WEDNESDAY, FEBRUARY 14

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Write 3 questions/

statements about the graph

on the next page.

TUESDAY, FEBRUARY 13

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TUESDAY, FEBRUARY 13

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MONDAY, FEBRUARY 12

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Write 3 questions/

statements about the graph

on the next page.

It’s Super Bowl Week!

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THURSDAY, FEBRUARY 7

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WEDNESDAY, FEBRUARY 7

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TUESDAY, FEBRUARY 6

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Feb. 5-9

Feb. 5

Feb. 6

Feb. 7

Feb. 8

I am going to cancel pre-algebra on Friday, Feb. 9

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Write 3 questions/

statements about this data.

MONDAY, FEBRUARY 5

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FRIDAY, FEBRUARY 2

What is something you are looking forward to this weekend?

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THURSDAY, FEBRUARY 1

What are 3 statements/questions you have about the graphs below?

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WEDNESDAY, JANUARY 31

If there are 8 slices for a whole pizza, what would be a reasonable number of pepperonis on the whole pizza?
In the picture below, the guy is adding the ____th slice of pepperoni to one slice of pizza. Give it your best guess.
A slice of

HORMEL

pepperoni has

a diameter of

1.75 in. What

is the area of

1 piece of

pepperoni?

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TUESDAY, JANUARY 30

What do you already know about salmonella? It’s OK if your answer is “nothing”.
What is something that surprised you about the infographic?
What is one question you have as a result of looking at this infographic?

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MONDAY, JANUARY 29

Jan. 29-Feb. 2

Jan. 29

Jan. 30

Jan. 31

Feb. 1

Fill in the dates

for the week!

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MONDAY, JANUARY 29

Write 3 questions/statements about this data.

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THURSDAY, JANUARY 25

How many players have a prime number as their jersey number?
What are the jersey numbers of the players that have a double consonant (hh, cc, tt, etc.) in either their first or last name?
If these 2 players sat side-by-side on the bench, their jersey numbers would form a palindrome (4224, 1661, etc). What are their first names? NOTE: There may be more than one answer.

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THURSDAY, JANUARY 25

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WEDNESDAY, JANUARY 24

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WEDNESDAY, JANUARY 24

How many players have a prime number as their jersey number?
What are the jersey numbers of the players that have a double consonant (hh, cc, tt, etc.) in either their first or last name?
If these 2 players sat side-by-side on the bench, their jersey numbers would form a palindrome (4224, 1661, etc). What are their first names? NOTE: There may be more than one answer.

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TUESDAY, JANUARY 23

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TUESDAY, JANUARY 23

What is the range of heights in inches? Tallest - Shortest
What is the ratio of sophomores (10) to juniors (11)?
How many players have a number that is a multiple of 3?
What is the mode for the heights?
What fraction of the players are under 6 feet tall?

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MONDAY, JANUARY 22

Jan. 22-26

Jan. 22

Jan. 23

Jan. 24

Jan. 25

Fill in the dates

for the week!

No School on Friday

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MONDAY, JANUARY 22

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MONDAY, JANUARY 22

What is the range of heights in inches? Tallest - Shortest
What is the ratio of freshman (9) to sophomores (10)?
How many players have a number that is a multiple of 3?
What is the mode for the heights?
What fraction of the players are under 6 feet tall?