Objectives 7th Grade Math

Page 1

10A

1.

Construct sample space for compound events (dependent and independent)

Which displays the sample space for flipping a coin 2 times? A B C D

3.

H, T HH, TT, HT, TH H, H, T, T TH, HT

Gina has a bag containing black, white, and red marbles. She takes two marbles out of the bag. According to the diagram below, how many possible outcomes exist? Black Black

White Red Black

White

White Red Black

Red

White Red

2.

If the 2 spinners shown below are spun, how many possible outcomes are there? D C

4

A 5

1 B

A B C D

3 9 12 27

3 2

th

A B C D

4.

6

4 6 10 24

5 Six Weeks Benchmark

For a dinner party, 3 people will be seated at a straight table. How many different ways are there to arrange the people? A B C D

Page 3

3 6 9 12


10B

1.

Find the approximate probability of a compound event through experimentation

Wally flips a fair coin and rolls a cube numbered 1 through 6. What is the probability that the coin lands on HEADS and the cube lands on 4? A B C D

3.

The table below shows a survey of students’ favorite food. Based on this table, what is the probability that a student chosen at random would pick pizza as his or her favorite food?

1 4 1 6 1 10 1 12

Food Hamburger Pizza Chicken Taco A B

2.

Shawna has a box of marbles. She removed a marble from the box, recorded the color on the table below, and replaced the marble in the box. Based on the table, what is the probability she will remove a blue marble the next time? Color Blue Green Yellow A B C D

th

C D

Times Picked 3 5 4

4.

1 3 1 4 3 10 3 13

5 Six Weeks Benchmark

13 50 13 37 13 22 13 15

Lisa flips a fair coin and rolls a cube numbered 1 through 6. What is the probability that the coin lands on TAILS and the cube lands on an even number? A B C D

Page 4

No. of Students 22 13 8 7

1 4 1 6 1 10 1 12


11A

1.

Select and use an appropriate representation for presenting collected data …

Which question can be answered with this chart?

3.

This stem-and-leaf plot shows the heights of several seventh graders in inches.

Diaz Family Budget Other 11%

Stem 6 5 4 3

Auto 12%

Food 17%

Utilities 18%

A B C D

2.

What is the range of the heights A B C D

What is this family’s income? How much is spent on food? What is this family’s largest expense? How much is the monthly utility bill?

Which would be best for displaying a class’s scores on a history test? A B C D

th

Rent 42%

4.

stem-and-leaf plot circle graph bar graph line graph

5 Six Weeks Benchmark

Leaves 001 233359 3445579 899

In the stem-and-leaf plot above, which height represents the mode? A B C D

Page 5

23 in. 38 in. 49 in. 61 in.

61 in. 53 in. 49 in. 38 in.


12B

1.

Choose among mean, median, mode, or range to describe a set of data …

What is the median of this data?

3.

Using the table below, what is the mode of student grades in Ms. Perry’s class?

5.2, 3.1, 7.6, 4.6, 6.1, 3.2 A B C D

2.

Ms. Perry’s Grades Grade No. of Students 93 5 91 8 89 12 87 6

4.6 4.9 5.2 7.6 A B C D

This table shows a store’s retail sales for each of 5 years. Year 1996 1997 1998 1999 2000

Sales $450,000 $376,000 $405,000 $215,000 $126,000 4.

Which measure of central tendency should the store manager use to persuade investors that sales are high? A B C D

th

Which measure of central tendency best represents this data? 15, 15, 15, 15, 30, 25, 30

mean median mode range

4 Six Weeks Benchmark

87 89 91 93

A B C D

Page 10

mean median mode range


13A

1.

Ben wants to buy a new radio. One brand costs $14.75 and another costs $15.65. What is the difference between the two prices? A B C D E

2.

3.

$2.10 $1.90 $1.10 $0.90 Not Here

4.

$1.80 $2.70 $3.60 $4.50 Not Here

2 Six Weeks Benchmark

Mr. Fielding’s truck can drive 17 miles on a gallon of gasoline. How far can his truck drive on 9 gallons? A B C D E

Brenda buys 4 binders that cost $2.85 each, including tax. If she gave the cashier $15.00, how much change should she receive? A B C D E

nd

Identify and apply mathematics to everyday experiences ‌

A bakery produces 144 loaves of bread a day. Which is the best estimate of the number of loaves of bread produced in 4 days? A B C D

Page 5

119 136 153 170 Not Here

400 500 600 800


13B

1.

A bag of oranges weighs about 6 pounds and contains between 8 and 10 oranges. If Sasha buys 4 bags of oranges, which is a reasonable estimate of the number of oranges she will purchase? A B C D

2.

3.

24 36 42 54

4.

$480 $600 $750 $850

1 Six Weeks Benchmark

The Early-Rise Bakery uses ½ cup of milk in each loaf of bread. If they bake 100 loaves of bread each day, how much milk will they use in a day (rounded to the nearest gallon)? A B C D

Ben’s electric bill ranges from $55 to $70 each month. Which is a reasonable estimate of the amount Ben will pay for his electric bill in a year? A B C D

st

Use a problem-solving model …

2 gallons 3 gallons 4 gallons 5 gallons

The temperature Thursday was 5°F. A storm formed and the temperature dropped 8 degrees. What was the temperature after the change? -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Page 8

A

13°F

B

3°F

C

-3°F

D

-13°F


13C

1.

Albert bought two pictures for $4.95 each and a frame for $11.90. Sales tax was 5 %. How much change should Albert receive from $30? A B C D E

2.

3.

$1.80 $7.11 $8.10 $8.20 Not Here

4.

15 ft. 30 ft. 45 ft. 60 ft. Not Here

5 Six Weeks Benchmark

Antonia arrived at the movie theater at 3:20 P.M. The movie began 14 minutes later. The movie was 1 hour and 40 minutes long. What time did the movie end? A B C D E

Mario has a rectangular garden behind his house. The length is 10 ft., and the width is twice the length. How much fencing does Mario need to surround the garden? A B C D E

th

Select or develop an appropriate problem-solving strategy ‌

Julia has a 2-gallon punch bowl she wants to fill with soda. If the soda costs $0.03 per ounce, how much will it cost to fill the bowl? A B C D E

Page 7

5:14 P.M. 5:55 P.M. 4:45 P.M. 4:55 P.M. Not Here

$0.48 $2.21 $3.84 $7.68 Not Here


13D

1.

m = 4 , then what is the value of m? If 21 7 A B C D

2.

3.

25 18 14 12

Elva wants to paint one outside wall of her house. The wall measures 12 feet high and 60 feet wide. A can of paint costs $3.75, not including tax, and will cover 100 sq. ft. of wall. How many cans should Elva purchase? A B C D E

th

Select tools ‌ to solve problems

A B C D E

4.

6 7 8 9 Not Here

4 Six Weeks Benchmark

Brenda jogged around the gym 4 times. If the gym in 41 yards long and 58 yards wide, which is the best estimate of the distance Brenda jogged?

Page 11

1200 yd. 1000 yd. 800 yd. 600 yd. Not Here

How could the area of this shaded figure be determined?

A

Find the area of the square and add the area of the triangle

B

Find the area of the square and divide by the area of the triangle.

C

Find the area of the square and subtract the area of the triangle.

D

Find the perimeter of the square and multiply by the area of the triangle.


14A

1.

2.

th

Communicate mathematical ideas …

Which expression represents a number, n, reduced by 7? A B

n–7 7–n

C

n÷7

D

7÷n

3.

A B C D

4.

A box of popcorn costs $2.75 and a soda costs $1.50. Which expression could be used to determine the cost of a box of popcorn and 2 sodas? A

c = 2 × 2.75 + 1.50

B

c = 2 × (2.75 + 1.50)

C

c = 2 × 1.50 + 2.75

D

c = 2 × (2.75 – 1.50)

5 Six Weeks Benchmark

Which sentence describes the following expression? d>4

Page 8

The value d is greater than 4. The value d is less than 4. The value d is greater than or equal to 4. The value d is less than or equal to 4.

For which expression is 6 a possible value of x? A B

x>6 x<6

C D

x≠6 x = 6x


14B

1.

Which type of graph would be most appropriate to display a family budget? A B C D

2.

Evaluate the effectiveness of different representations to communicate ideas

3.

This table shows the boiling point of water at different elevations.

histogram stem-and-leaf plot circle graph line graph

Elevation (ft) 2500 1000 0 -200

Boiling Point (°°F) 194 207 212 214

Which statement can be supported by the data in the table?

A survey asked 100 students which sports they play. The results are shown in the diagram below.

A

As the elevation increases, the boiling point of water decreases.

B

As the elevation decreases, the boiling point of water decreases.

C

At elevations greater than 2500 ft., the

Basketball Baseball 10 6 8

14 12

2 27 Football

boiling point of water is above 194°F. D

Which is a valid conclusion that could be made from this diagram? A

There were 13 more students who play football than basketball.

B

There were 16 students who play both basketball and baseball.

C

There were only 8 students who play baseball.

D

th

4.

There were 30 students who play all 3 sports.

5 Six Weeks Benchmark

Page 9

As the elevation increases, the boiling point of water increases.

Which expression is the same as the sum of a number and 3 times that number? A

n × 3n

B C D

3n ÷ n 3n – n n + 3n


15A

1.

Make conjectures from patterns or sets of examples and nonexamples

What will be the seventh term in this pattern?

3.

Nelda is making several figures out of square tiles as shown below.

2a, 3a2, 4a4, 5a8, ‌ A B C D

8a64 8a32 7a64 7a32

Figure 1 Figure 2 Figure 3

How many tiles will be required for the fifth figure? A B C D

2.

4.

What will be the tenth term in this sequence?

10 12 14 16

The height of a certain fungus doubles every day. If it is 4 mm tall on day 1, how tall will it be on day 4?

1, 2, 5, 6, 9, 10, 13, ‌ A B C D

rd

A B C D

14 17 18 21

3 Six Weeks Benchmark

Page 9

8 mm 16 mm 32 mm 64 mm


15B

1.

Validate conclusions using mathematical properties and relationships

Which number line represents values of x for which x > 1 + 3? A B

3.

Which value would complete the table below? x 2 4 6 8

-5 -4 -3 -2 -1 0 1 2 3 4 5 6

-5 -4 -3 -2 -1 0 1 2 3 4 5 6

y 3 7 11 ?

C -5 -4 -3 -2 -1 0 1 2 3 4 5 6

A B C D

D -5 -4 -3 -2 -1 0 1 2 3 4 5 6

2.

4.

Based on the following equations,

Which fraction is equivalent to 50 % of ¼?

4×3 7=5 7 6÷2=4 8 ÷ 4 × 6 1 = 11

A

Which operation does the symbol represent?

C

B

D A B C D

nd

addition subtraction multiplication division

2 Six Weeks Benchmark

Page 9

13 14 15 16

1 10 1 8 1 6 1 2


1A

1.

Compare and order integers and positive rational numbers

Brenda is shopping for a new coat. She has compared prices at several stores. Which shows the prices ordered from least to greatest? A B C D

3.

In Mission, the June rainfall for four consecutive years was: 1 3 34 in., 3 12 in., 3 2 3 in., 3 4 in.

$54.08, $51.95, $54.22, $58.21 $51.95, $54.08, $54.22, $58.21 $54.08, $54.22, $51.95, $58.21 $58.21, $54.22, $54.08, $51.95

Which lists these amounts from greatest to least? A B C D

2.

A B C D

st

4.

Ruby records the temperature of a solution in the science lab for several days. Which shows these temperatures ordered from greatest to least?

1 Six Weeks Benchmark

B C D

Page 1

1 32 3 in., 3 4 in. 3 12 in., 3 3 4 in. 3 12 in., 3 14 in. 3 12 in., 3 14 in.

Which list of fractions is ordered from least to greatest? A

83.2, 84.5, 82.3, 83 84.5, 83.2, 83, 82.3 83.2, 82.3, 83, 84.5 82.3, 83, 83.2, 84.5

3 34 in., 3 12 in., 3 14 in., 3 2 3 in., 3 23 in., 3 3 4 in., 3 34 in., 3 2 3 in.,

1 21 5 , 2 3, 1 21 5, 24, 1 22 3 , 2 3, 2 14 , 2 13 ,

2 23 , 2 14 2 13 , 2 2 3 2 14 , 2 1 5 2 23 , 2 1 5


1B

1.

A store manager increased prices 4 %. How would this percent be expressed as a decimal? A B C D

2.

Convert between fractions, decimals, whole numbers, and percents ‌

3.

A

4.0 0.4 0.04 0.004

B C D

4.

On Tuesday, ž of the student body carried backpacks. What percent of the student body carried backpacks? A B C D

Which fraction represents the decimal 0.8?

83 % 75 % 66 % 34 %

A study finds that 30 % of seventh-grade students read more than 2 books per week. What fraction of seventh graders does this represent? A B C D

st

1 Six Weeks Benchmark

Page 2

1 8 2 3 4 5 8 9

1 3 3 10 1 30 3 100


1C

1.

Represent squares and square roots using geometric models

How many square feet are in 1 square yard? A B C D

3.

This square has an area of 36 in2. How long is each side?

3 sq. ft. 6 sq. ft. 9 sq. ft. 12 sq. ft.

Area = 36 in.2

A B C D

2.

A banner has an area equivalent to 40 square feet. If it is 5 feet tall, how wide is the banner?

4.

4 in. 6 in. 7 in. 9 in.

What is the area of one side of a cube that measures 2 meters on a side?

2 meters 40 ft.2

A B C D

rd

5 ft.

A B C D

8 ft. 10 ft. 12 ft. 15 ft.

3 Six Weeks Benchmark

Page 1

2 m2 4 m2 8 m2 16 m2


2A

1.

Represent multiplication and division situations involving rational numbers using models, words, pictures and numbers

How many blocks would be necessary to construct the figure shown?

3.

The volume of a rectangular prism is found with the formula V = l × w × h. What is the volume of the prism shown below?

4 in

4 in 5 in

A B C D

2.

16 32 48 64

A B C D

If the length and width of this rectangle are each doubled, what will be the new area?

Area = l × w

4.

l = 4 cm

w = 6 cm

A B C D

rd

75 in.3 80 in.3 100 in.3 110 in.3

36 cm2 40 cm2 48 cm2 96 cm2

3 Six Weeks Benchmark

A local store sells a box of 15 pencils for $1.15 per box. If a teacher has 25 students in his class and wants to buy each student 3 pencils, how many boxes will he need to buy? A B C D

Page 2

3 4 5 6


2B

1.

Jean divided a bag of chips between 5 people. If each person’s share weighed 2 ¼ ounces, what was the weight of the original bag? A B C D E

2.

3.

10 ¼ ounces 10 ½ ounces 11 ¼ ounces 12 ounces Not Here

4.

Ben has a piece of ribbon 1 34 feet wide. Amy has a piece of ribbon 1 23 feet wide. How much wider is Ben’s ribbon than Amy’s? A B C D

nd

Use addition, subtraction, multiplication, and division to solve problems with fractions and decimals

A

3 c 6 32

B

6 13 c

C

6 12 c

D

67 8 c

Andrea jogs 3 days. The first day she jogs 2 ¼ laps. The second day she jogs 2 ½ laps. The third day she jogs 3 ½ laps. How far does she run in total? A B C D E

1 12 ft. 1 ft. 4 1 ft. 3 5 12 ft.

2 Six Weeks Benchmark

A recipe calls for 2 18 cups of sugar and 4 3 4 cups of flour to be mixed in a bowl. What is the total amount of ingredients in the bowl?

Page 1

7 ¼ laps 7 ½ laps 8 ¼ laps 8 ½ laps Not Here


2B

1.

Laura is planning to read for 4 12 hours today. If she has already read for 1 14 hours, how much longer is she planning to read? A B C D

2.

2 34 3 14 3 12 3 34

3.

B C D

Gus has a board 6 12 feet long that he must cut into 4 equal pieces. How long will each piece be? A

1 85 ft.

B

1 12 ft.

C

1 18 ft.

D

8 13 ft.

hr hr hr hr

4.

Ricky mowed 13 of his yard before lunch. After lunch he mowed 14 more. How much of the yard is left to mow? A

nd

Use addition, subtraction, multiplication, and division to solve problems with fractions and decimals

A

7 12 2 3 1 6 1 7

2 Six Weeks Benchmark

James is walking to the store 2 18 miles away. He has walked 1 56 miles already. How much further does he have to walk?

B C D E

Page 2

7 24 miles 7 miles 1 24 1 17 24 miles 23 miles 3 24 Not Here


2C

1.

Use models to add, subtract, multiply, and divide integers and connect the actions to algorithms

Pam owes Becky $12. Pam gave Becky $4. Which expression could be used to determine how much money Pam still owes? A B C D

2.

11. Anika drew the number line below with 2 cm between each number. What is the distance between -2 and 3?

-12 – 8 -12 + 8 -12 + -8 12 + 8

-5 -4 -3 -2 -1 0 1 2 3 4 5 6

A B C D

5 cm 8 cm 10 cm 12 cm

Which expression is modeled on the number line below? -4 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

A B C D

12. Phil’s baseball team was losing by 4 points. Their opponents scored 2 more points. How many points will Phil’s team need to tie the game?

1+3= 4 -3 – 4 = -7 1 + -4 = -3 4–3 =1

A B C D

nd

2 Six Weeks Benchmark

Page 3

2 4 6 8


2D

1.

Bill’s brother puts 20 gallons of gasoline in his car and pays $22.00. What is the price for 1 gallon? A B C D

2.

3.

4.

Page 4

4 to 5 7 to 6 5 to 4 3 to 4

Elizabeth pays $37.50 for 5 yards of material. What is the cost per foot? A B C D

67.5 mph 65 mph 60 mph 55 mph

1 Six Weeks Benchmark

A pet store has 15 dogs and 12 cats. Which of these is the ratio of cats to dogs? A B C D

$1.20 $1.10 $1.05 $1.00

Mrs. Mendez drove 270 miles to San Antonio in 4½ hours. What was her average speed in miles per hour? A B C D

st

Use division to find unit rates and ratios in proportional relationships

$10.00 $7.50 $5.00 $2.50


2E

1.

2.

Simplify numerical expressions involving order of operations and exponents

Which is another way to express 35 × 23?

3.

Which describes 4 × 4 × 4 × 3 × 3?

A

3×3×3×3×3×2×2×2

A

24 × 33

B

5×5×5×3×3

B

34 × 23

C

3×5×2×3

C

42 × 33

D

3×4×5×2×3

D

43 × 32

Which is the value of the following expression?

4.

Which is the value of the following expression?

52 – 2 × 5 – (2 + 3) A B C D

st

8+6÷2+5×2 A B C D

16 12 10 9

1 Six Weeks Benchmark

Page 5

17 21 24 32


2F

1.

2.

Select and use appropriate operations to solve problems and justify the selections

Mr. and Mrs. Diaz went to the carnival. They each bought a hotdog and a soda. The hotdogs cost $1.25 each and the sodas were $0.75 each. Which expression could be used to find how much the couple spent? A

2 × 1.25 + 0.75

B

2 × (1.25 + 0.75)

C D

(1.25 + 0.75) ÷ 2 1.25 + 0.75 + 2

4.

Page 4

4 degrees -4 degrees -8 degrees -12 degrees

If 8 + x = 24, what is the value of x? A B C D

22 20 18 16

2 Six Weeks Benchmark

The temperature in Amarillo was -4 degrees. A new cold front came through and the temperature dropped 8 degrees. What was the new temperature? A B C D

A barrel of chicken feed weighs 96 pounds. A store uses these barrels to fill bags that contain 4.8 pounds of feed. How many bags can be filled from one barrel? A B C D

nd

3.

3 6 8 16


2G

1.

Wally read between 3 and 5 books a month. Which is a reasonable estimate of the number of books Wally reads in one year? A B C D

2.

3.

30 books 50 books 70 books 90 books

4.

Page 6

150 sq. ft. 300 sq. ft. 450 sq. ft. 600 sq. ft.

It takes Justin between 15 and 20 minutes to walk home each day. About how much time does he spend walking home in 15 days? A B C D

30 60 90 120

1 Six Weeks Benchmark

Marissa’s patio is 32 feet wide and 19 feet long. Which is a reasonable estimate of the area of the patio? A B C D

The student council is washing cars to raise money. If they charge $4.50 to wash a car, about how many cars must they wash to raise $300? A B C D

st

Determine the reasonableness of a solution to a problem

5 hrs 6 hrs 7 hrs 8 hrs


3A

1.

A survey of 1200 students found that 25 % of them played softball. How many students played softball? A B C D

2.

3.

200 300 400 600

4.

$3.00 $4.00 $26.00 $27.00

5 Six Weeks Benchmark

Out of a group of 60 students, 24 students are boys. What percent of the students are boys? A B C D

A $30 dollar shirt was reduced 10 % for a sale. What was the sale price of the shirt? A B C D

th

Estimate and find solutions to application problems involving percent

Page 1

24 % 40 % 60 % 76 %

Chris took an exam with 80 questions and answered 65 questions correctly. Which expression could be used to determine the percent of questions Chris answered correctly? A

(65 + 80) × 100

B

(80 – 65) × 100

C

(65 ÷ 80) × 100

D

(80 ÷ 65) × 100


3B

1.

Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs …

∆GHI and ∆JKL are similar triangles. What is the length of HI? H

3.

∆ABC and ∆DEF are similar triangles. What is the length of EF?

K

E B

6 yd

6 cm J 4 yd L G 6 yd

A B C D

2.

A

A B C D

9 yd. 10 yd. 24 yd. 36 yd.

A tree 6 meters tall casts a shadow of 18 meters. A flagpole nearby casts a shadow of 36 meters. How tall is the flagpole? A B C D

th

I

4.

4 Six Weeks Benchmark

Page 7

6 cm

F

C

4 cm 6 cm 9 cm 12 cm

A printer can print 15 pages in 2 minutes. How many pages can be printed in 30 minutes? A B C D

12 m 18 m 24 m 36 m

9 cm

D

150 225 300 450


4A

1.

Gabriel planted a square-shaped garden. If the perimeter of the garden is 18 feet, how long is one side? A B C D

2.

3.

4 ft. 4.5 ft. 6.5 ft. 9 ft.

4.

Page 3

10 in. 20 in. 24 in. 36 in.

Jill ran around a circular track 5 times. If the diameter of the track is 20 m, which is a reasonable approximate of the distance she ran? A B C D

The perimeter of the base The height of the box The length of the base The weight of the box

3 Six Weeks Benchmark

Rene painted a picture and wanted to make a frame. If the area of the picture is 24 square inches and the length is 6 inches, what is the perimeter? A B C D

Valerie wants to fill a shoebox with photos. If the area of the box’s base is 60 sq. in., what else will Valerie need to know to find the volume of the box? A B C D

rd

Generate formulas involving conversions, perimeter, area, circumference, volume

60 m 120 m 300 m 450 m


4C

1.

Describe the relationship between the terms in a sequence and their positions in the sequence

What is the seventh term in this sequence?

3.

Which of these series is created by dividing each previous term by 2?

3, 5, 9, 15, 23, … A B C D

2.

A B C D

33 45 59 75

How is the next term in this sequence found?

4.

3, 5, 7, 9, … 100, 50, 0, -50, … 4, 8, 16, 32, … 1, 0.5, 0.25, 0.125, …

What is the tenth term in this sequence? 2, 3, 5, 6, 8, 9, 11, 12, …

5, 10, 20, 40, 80, 160, … A B C D

st

A B C D

Add 5 to the previous term. Multiply the previous term by 10. Divide the previous term by 5. Double the previous term.

1 Six Weeks Benchmark

Page 7

13 14 15 16


5A

1.

Which is a solution to the following expression? 12.4c = 44.64 A B C D E

2.

3.

B C D

4.

n = 92 n = 23 n = 12 None of these

2 Six Weeks Benchmark

Which is a solution to the following expression? r – 1.15 = 8 A B C D

c = 553.536 c = 57.08 c = 32.24 c = 13.08 c = 3.6

Which is a solution to the following expression? n + 13 = 95 A

nd

Use concrete models to solve equations and use symbols to record the actions

Which is a solution to the following expression? n = 12 3 A B C D

Page 6

r = 6.15 r = 6.85 r = 9.15 r = 9.85

n=3 n=4 n = 15 None of these


5B

1.

nd

Formulate a possible problem situation when given a simple equation

A long distance company charges $4.50 a month plus $0.15 per minute for calls. Which expression could be used in determining the cost of the monthly phone bill?

2.

For a school field trip, there must be 2 sponsors for every 30 students. Which expression could be used to determine the number of sponsors needed to accompany 120 students?

A B C

4.50 + 0.15m 0.15 + 4.50m (0.15 + 4.50)m

A

(120 + 30) ÷ 2

B

120 ÷ 2 × 30

C

(120 ÷ 30) × 2

D

4.50 ÷ m + 0.15

D

120 × 30 ÷ 2

2 Six Weeks Benchmark

Page 8


5B

1.

Mr. Case bought a used car on credit. If he owes $2640 and will make payments of $220, which equation can be used to determine the number of payments Mr. Case will make?

B

p 220 = 2640 220 + p = 2640

C

p − 220 = 2640

D

220 p = 2640

A

2.

nd

Formulate a possible problem situation when given a simple equation

3.

4.

Juan earned twice as much money mowing yards this month as last month. If x represents how much Juan earned last month, which expression represents how much he earned this month? A

x+2

B C D

2÷x 2x x2

2 Six Weeks Benchmark

Arnold has 125 baseball cards and has 12 more than Jorge. Which equation could be used to find b, the number of baseball cards Jorge has? A B

b = 125 ÷ 12 b = 125 – 12

C D

b = 125 × 12 b = 125 + 12

A rental car company charges $5.00 an hour plus $0.25 per mile. They use the expression 5d + 0.25m to determine the cost of the rental. What would a customer pay if they rented a car for 3 days and drove it 45 miles? A B C D

Page 7

$37.75 $26.25 $22.25 $15.25


6A

1.

Use angle measurements to classify angles as complementary or supplementary

Which is a pair of supplementary angles?

3.

What is the measure of the angle that is supplementary to ∠GHI?

A B O

G

C 54°

E

2.

A

∠AOB and ∠BOC

B

∠BOC and ∠EOD

C

∠AOE and ∠EOD

D

∠EOD and ∠DOC

I

H

D

4.

If ∠ABF measures 36°, what is the measure of ∠FBC?

A

36°

B

90°

C

126°

D

180°

What is the measure of the angle that is complementary to ∠MNO?

A

M F 62° C

N

B

rd

A

90°

B

64°

C

54°

D

36°

3 Six Weeks Benchmark

Page 4

A

28°

B

38°

C

118°

D

128°

O


6B

1.

Which of these shapes must contain a right angle? A B C D

2.

Use properties to classify shapes including triangles, quadrilaterals, circles, ‌

3.

Which one of these may contain an obtuse angle? A B C D

rectangle parallelogram equilateral triangle pentagon

Which describes this triangle?

4.

What is a plane figure containing points that are all an equal distance from a point called the center? A B C D

A B C D

rd

scalene triangle right triangle equilateral triangle obtuse triangle

3 Six Weeks Benchmark

Page 5

right triangle parallelogram square rectangle

circle pentagon square triangle


6C

1.

Use properties to classify solids, including pyramids, cones, prisms, and cylinders

Which of these figures contains 6 faces? A B C D

3.

Which best describes this solid?

cylinder cone pyramid cube

6 cm 4 cm

6 cm

A B C D

2.

Which has the greatest number of faces? A B C D

4.

Which best describes this solid?

triangular prism triangular pyramid square pyramid rectangular prism

A B C D

rd

rectangular prism cube triangular prism cone

3 Six Weeks Benchmark

Page 6

rectangular prism cube triangular prism cone


6D

1.

Use critical attributes to define similarity

Which set of measurements describes a rectangle similar to the one shown below?

3.

The triangles below are similar. What is the missing length?

length: 6 9 in

6 in

4 in

6 in

width: 4

? 3 in

A B C D

length: 8, width: 6 length: 12, width: 2 length: 5, width: 3 length: 12, width: 8

A B C D

4.

2 in. 3 in. 6 in. 10 in.

If ∆DEF is similar to ∆ABC, which are possible dimensions of ∆DEF? B

E 3 ft

2.

A tree 4 meters tall casts a shadow of 14 meters. At the same time, a nearby building casts a shadow of 42 meters. How tall is the building?

e

6 ft C d

F

8 ft

A

f

A B C D

th

7m 12 m 21 m 32 m

4 Six Weeks Benchmark

D

A B C D

Page 8

d = 7 ft., e = 4 ft., f = 9 ft. d = 18 ft., e = 9 ft., f = 24 ft. d = 12 ft., e = 9 ft., f = 32 ft. d = 6 ft., e = 6 ft., f = 9 ft.


7A

1.

Which ordered pair describes the point A in the graph below?

A B C D 2.

3.

4.

S T U V

4 Six Weeks Benchmark

Which point has coordinates (3, -4)?

A B C D

(4, 3) (3, 4) (4, -3) (-3, 4)

Which point on the graph is located at the coordinates (3, 1)?

A B C D

th

Locate and name points on a coordinate plane using ordered pairs of integers

Which ordered pair identifies the point R on the graph below?

A B C D

Page 1

S T U V

(2, -3) (-2, 3) (3, -2) (-3, 2)


7B

1.

If the point A is translated 5 units up and 3 units to the left, what will be the new coordinates?

A B C D 2.

3.

(1, 2) (2, 1) (2, 3) (3, 2) 4.

Page 2

figure W figure X figure Y figure Z

Which translation of point A will create point B?

A B C D

W X Y Z

4 Six Weeks Benchmark

Which figure is a translation of figure A?

A B C D

Which point represents the point A translated 5 units up and 2 units to the right?

A B C D

th

Graph translations on a coordinate plane

4 units left, 2 units down 2 units up, 4 units right 2 units left, 1 unit up 2 units right, 3 units up


8A

1.

Sketch a solid when given the top, side, and front views

Which picture represents this solid when viewed from above?

2.

A

Which picture represents this stack of cubes when viewed from above?

A

B B C

C

D

D

th

4 Six Weeks Benchmark

Page 3


3.

4.

Which solid represents these side, top, and front views?

Which picture represents this stack of cubes when viewed from above?

Front

Side

Front

Side

Top Top

A A

Side

Side

Front

Side

Front

Side

Front

Side

Front

B

Front

B

C

Side Front

C

D Side Front

D

Side Front

th

4 Six Weeks Benchmark

Page 4


8B

1.

Make a two-dimensional model of the surface area of a solid

Which three-dimensional shape can be formed by folding this figure?

2.

Which figure represents the surface area of this solid?

A

A

B B

C C

D D

th

4 Six Weeks Benchmark

Page 5


3.

A B C D

th

4.

Which three-dimensional figure can be formed from this net?

A B C D

cube rectangular prism pyramid cylinder

4 Six Weeks Benchmark

Which three-dimensional figure can be formed from this net?

Page 6

cube rectangular prism pyramid cylinder


8C

1.

Kim’s living room measures 25 feet wide and 17 feet long. She wants to tile the floor with tiles that measure 1 ft. by 1 ft. How many tiles will she need to cover the floor? A B C D

2.

3.

170 250 425 650

4.

12 ft. 14 ft. 16 ft. 20 ft.

3 Six Weeks Benchmark

The base of a water fountain is shaped like a regular pentagon. If each side measures 2 meters, what is the perimeter of the base? A B C D

On a certain blueprint, 1 inch represents 4 feet. What distance is represented by 3.5 inches? A B C D

rd

Use geometric concepts and properties to solve problems in fields such as art ‌

Beth has a 12-foot board. She wants to cut the board so that one piece is 2 feet shorter than the other. What will be the length of the shorter piece? A B C D

Page 7

5m 8m 10 m 12 m

10 ft. 6 ft. 5 ft. 4 ft.


9

1.

Estimate measurements and solve application problems involving length (including perimeter and circumference), area, and volume

Which of these units would be most appropriate to measure the height of a flagpole? A B C D

2.

4.

288 in.3 72 in.3 48 in.3 22 in.3

3 Six Weeks Benchmark

A rectangular painting measures 2 feet long and 3 feet wide. What is the area of the painting in square inches? A B C D

centimeters decimeters meters kilometers

A shoebox measures 4 inches high, 6 inches long, and 12 inches wide. What is the volume of the shoebox? A B C D

rd

3.

What is the perimeter of the painting described in the previous problem expressed in inches? A B C D

Page 8

6 in2 72 in2 864 in2 10,368 in2

200 in. 120 in. 100 in. 60 in.


7th Grade Warm-Ups 1st Nine-Weeks Warm Up - Day 1 Compare using <, >, or =. 1 6 1. 7 7 Complete the statement. 2. 7,800 g = ________kg 3. p + 17 = 56 4. Jane had $22.25 before baby-sitting on Saturday. After babysitting she had $48.75. Which equation can be used to find b, the amount of money Jane earned from babysitting? A. $22.25 – b = $48.75

C. $48.75 – b = $22.25

B.$22.25 + $48.75 = b

D. $48.75 + b = $22.25

Warm Up – Day 2 1. What is the new ordered pair for reflecting point D across the x-axis?

10

D

9 8 7 6 5 4 3 2 1 -1 0

-9

-8

-7

-6

-5

-4

-3

-2

-1

0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -1 0

G

O 1

2

3

4

5

6

7

8

9

10


2. Find the approximate length and width and then find the perimeter.

= 1 inch

3. Eliza’s grades on her daily math homework were 8, 10, 7, 9, 9, 4, 8, 2, 10, 8, 3, 7, 9, 6, and 4. Which measure of the data is not represented by a score of 8? A. Mean

B. Median

C. Mode

D. Range

4. Ethan collected five rocks that weighed a total of 43.4 kg. Two of the rocks were identical, and each weighed 13.3 kg. If two of the other rocks weighed 4.7 kg and 5.3 kg, what was the weight of the fifth rock in kilograms?

Warm Up – Day 3 A 1. C

B

D

AC ≅ _____ Convert to a percent. 2. 0.35 3.

3 1 + =x 4 2

4. Raul bought 3 posters for $2.59 each and 2 posters for $1.98 each. He paid $0.59 in tax. How much did he spend?


Warm Up – Day 4 1. Identify the equation below that models a b • a c = a b+ c A. 5 3 • 5 4 = 25 7

C. 5 + 5 + 5 +5 + 5 + 5 + 5 = 5 7

B. 53 + 54 = 57

D. 5 3 • 5 4 = 5 7

2. Write an equation to represent the distance from A to B if the total distance around the A diamond is 360 inches.

B

3. If the figure is translated 5 units down and 2 units right, what is the new ordered pair for point C? C

A B

4. Brian is training for a race. He is increasing his long run each week by 1.5 miles. The first week his long run is 3 miles. During which week will his long run be 12 miles? A. Week 4

B. Week 6

C. Week 7

D. Week 9


Warm Up – Day 5 1. Estimate the volume of the rectangular prism.

10 cm

6 cm 5 cm

2. If Corey buys a jacket for 30% off the original price $399, how much did he pay for the jacket?

3. If 4 slinkies costs $1.56, how much does one slinky cost?

4. A salon is offering a 20% discount on all haircuts. What was the regular price of a cut whose discount price is $30?


Warm-Up - Day 6 1.) Convert 65% to a simplified fraction and decimal.

2.) Ten is _____ times greater than five.

3.) Three times Paul’s age is 12. What is Paul’s age?

4.) Mr. Porter bought 24 bagels at 6 for $2.49 and 12 cartons of juice at 6 for $1.98. What was the total cost of the bagels and juice Mr. Porter bought, not including tax?

Warm-Up – Day 7 1.) Find the perimeter of the following equilateral triangle.

1.74 cm 2.)

ABC is similar to A

XYZ. What is the measure of angle Y? X

50

Y B

90

40

Z

C

3.) Daniel and Paul have saved $37.00 to buy their mother a present. Daniel saved $8.00 less than Paul. How much money did Paul save?


4.) Three ducks and two ducklings weigh 32 kg. Four ducklings weigh 44 kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?

Warm-Up Day 8 1.) If point Z is translated 7 units to the left and 4 units down, what will the new coordinates are?

Z

2.) The floor plan of a ballroom is shown below. The wall represented by AB is going to be removed, to provide an opening to the kitchen. How wide will the opening be? 31 ft 12 ft

20 ft

A 6 ft

B 6 ft

7 ft

3.) Mrs. Ramirez asked 30 friends how many times they went to the movies last month; the responses are shown in the table below. Movies Number of People 0 4 1

8

2

4

3

6


4

4

5

0

6

4

Which number represents the most common number of times people went to the movies?

4.) A farmer grows 252 kilograms of apples. He sells them to a grocer who dives them into 5 kilogram and 2 kilogram bags. If the grocer uses the same number of 5 kg and 2 kg bags, then how many bags did he use in all?

Warm-Up Day 9 1.) Solve. 4 + (8 ÷ 4)3 – 5 2.) Cindy worked for 23 hours last week baby-sitting. She earned $126.50. What was Cindy’s rate of pay?

3.) What is 20% of 120?

4.) A recipe that makes a dozen muffins calls for 1½ cups of flour. How much flour is needed to make 18 muffins using this recipe?

Warm-Up Day 10 1.) Name the quadrant and give the ordered pair that point V lies in?

Z


2.) When analyzing public drinking water, researches found a 10 to 1 ratio of type A to type B bacteria. If the number of type B bacteria in the sample was 420, how many type A bacteria were present?

3.) The estimated circumference of a circle is 12cm. Approximately how long is diameter of the circle? (Use 3 for pi) 4.) Isabel has a bookcase with 6 shelves on it. She puts 40 books on the bottom shelf, 33 books on the next shelf, 27 books on the next shelf, and 22 books on the shelf above that one. If the pattern continues, how many books will be on the top shelf?

Warm-Up Day 11 1.) The ordered pair (0,-10) would lie on which axis?

2.) Find the volume of the figure below?

6 in 5 in 12

in

3.) If the measurement of ∠ D + the measurement of ∠ E = 180, the ∠ D and ∠ E are _____________ angles?

4.) A group of five workers received the following incomes last year: $23,000 $25,000 $48,000 $22,500 $24,000 The lowest-paid workers want to negotiate a pay raise. What measure of central tendency would be most favorable to them in the negotiation?

Warm-Up Day 12 1.) The ordered pair (-5, 9) would fall into which quadrant on a coordinate plane? 2.) The area of the rectangle pictured below is ______ times the size of the area of the triangle pictured below.


3.) The table below shows the cost of a movie ticket at seven different theaters. Theater Ticket Cost Tam’s $5.50 VistaPlex $6.75 Lighthouse $4.25 RPA $7.50 Brightview $4.95 What is the range for the data in the table?

4.) A packing company sells a large and a small packing box. How many more cubic feet does the large box hold than the small one?

4 in

8in 5 in

10in

6in 12in

Warm-Up Day 13 1.) How many faces, edges, and vertices does the following shape have?

2.) Which statement is always true about a rectangle? a. It has exactly one pair of parallel sides. b. It has four congruent angles c. It has four congruent sides d. The sum of the measure of its angles is 180.


3.) If the 2-dimensional figure is cut out and turned into a 3-dimensional “solid”, which figure best represents that solid?

A.

B.

C.

D.

4.) Pablo spent half of his birthday money on concert tickets and one third of the remaining amount on food. After he used $12.35 on a train ticket, he had $8.25 left. How much money did Pablo begin with?

Warm-Up Day 14 1.) Jonah helped his uncle install fence on his ranch. They made a pen that was 11½ yards long on two sides, 4½ yards on the third side, and 5¼ yards long on the fourth side. What is the total length of fence they installed? 2.) Kaley determined that 42% of all jet engines built today are turbojets, rather than turbofans. Approximately what fraction of jet engines built today are turbojets? 3.) The regular price of a leather jacket was $85. Robin bought the jacket on sale for $62. If the tax rate is 8%, which number sentence could be used to find T, the total cost of the jacket with tax? A. T= $62 x 0.08

C. T = $85 x 0.08 - $62

B. T = ($62 x 0.08) + $62

D. T= ($85 - $62) x 0.08


4.) Three people share a car for a period of one year and the mean number of kilometers travelled by each person is 152 per month. How many kilometers will be traveled in one year?

Warm-Up Day 15 1. What is the correct way to express 5% as a decimal? (7.1B) 2. When analyzing public drinking water, researchers found a 10 to 1 ratio of type A to type B bacteria. If the number of type B bacteria in the sample was 420, how many type A bacteria were present? (7.3B) 3. Mr. Wendell donated $5000 to NASA for its youth scholarship program. NASA then gave equal amounts of that money to 40 middle school students, to help them pay for Space Camp. Write an equation that can be used to find a , the amount of money each student received. (7.5B) 4. Paula is 8 years old and her little sister is 6 years old. Their mother is 4 times Paula’a age. How old is Paula’s mother? (7.14A)

Warm-Up Day 16

1. A quadrilateral is graphed. Which figure is a reflection of the quadrilateral? (7.7B)

a.

c.


b.

d.

2. A box of cereal measures 2 inches by 7 inches by 11 inches. What is the volume of the box? (6.8B ~ 7.9C) 3. The Acme Lawn Service Company works 2 teams of high school students each summer. The graph shows the profits that each team made during the last 3 summers.

How much more profit did Team A make in 1996 than in 1994? (6.10D ~ 7.11B)

4. Alfred purchased tickets to the baseball game for himself, his father, and his 2 brothers. The amount he paid was based on the prices posted on the chart. What other information do you need to know to determine how much he spent for the tickets? (6.11C ~ 7.13C)

a. The age of his father b. The section where they wanted to sit


c. The ages of Alfred and his brothers d. The names of the teams that were played. e. The time the game was played.

Warm-Up Day 17 1. What is the correct way to express 3/5 as a decimal? (7.1B) 2. The diameter of a circle is 24 ft. What is the radius? (6.6C ~ 7.6D) 3. The first row in a theater has 8 seats, the second row has 12 seats, and the third row has 16 seats. If this pattern continues, how many seats will the sixth row have? (7.4C ~ 7.5B)

4. Which number less than 100 has the following characteristics? (6.12A ~ 7.14A) •

It is a multiple of 9.

The tens digit is odd and the ones digit is even.

The ones digit is twice the tens digit.

a. 36

b. 63

c. 81

d. 90


Warm-Up Day 18 1. Dwayne wants to translate pentagon ABCDE in such a way that vertex C is moved from the point (1, -2) to (7, -6). What are the steps that can be used for this translation? (7.7B) a. Move the pentagon six units left and four units up. b. Move the pentagon six units right and four units down. c. Move the pentagon four units left and six units up. d. Move the pentagon four units right and six units down.

2. Find the perimeter of a rectangle having a length of 3 feet and a width of 6 inches. (7.9A)

3. The chart relates the number of counselors at each campus in the school district to the number of students at that campus. What is the most accurate statement regarding this data? (7.11B) Counselors Students 5

618

3

359

6

776

2

265

a. Students prefer attending large schools. b. Large school students never see their counselor.


c. Small schools have more students per counselor. d. More students means there will be more counselors.

4. A certain cement block can be stacked to heights of 9, 18, 27, and 36 inches. Using the same block, which of the following stacks could be made? e. 40 in. f. 47 in.

c. 51 in. d. 54 in.

Warm-up Day 19 1. Is the transformation shown below a translation, reflection, or rotation? (7.7B)

2. In the prism below, what missing piece of information is needed in order to find the volume? (7.9C)

h = 10

w=7 3. The heights of 5 boys in Ms. Smith’s class are 60 in., 58 in., 59.5 in., 62 in., and 58 in. Which of the following statements is true about this set of data? (7.11B) a) The mode is 59.5 in. b) The mean is 59.5 in. c) The range is 59.5 in. 4. One year, Texas had about 2.6 times as many head of cattle as Oklahoma. Oklahoma had 5.2 million. How many head of cattle did Texas have?

Warm-up Day 20


1. If point A is at (-3, 4) and is translated down 2 units and right 5 units, what will the new coordinates of point A’ be? (7.7B)

2. Estimate the perimeter of the figure shown. (7.9A)

3.7 cm 3. The table below shows the net profit of Julie’s Jewels gift shop for the past 5 years. If sales continue to increase, what would be a reasonable profit amount to expect for next year? (7.11B)

Julie’s Jewels: et Profit Year 2007 2008 2009 2010 2011

Profit $600 $725 $835 $975 ?

4. Diego subtracted 2 from the number of sides in an octagon. Then he multiplied this difference by 180 and divided the product by the number of sides of an octagon. If he did all of this correctly, what was the final value?

Warm-Up: Day 21


1. If the figure of the arrow is reflected across the y axis, what coordinates best describe the location of the image of the tip of the arrow? 2. W hat is the area of a trapezoid with base lengths of 8 centimeters and 12 centimeters and a height of 3 centimeters. 3. The following data set shows the number of past receptions Michael Irvin had in each of his 12 years with the Cowboys. 32, 26, 20, 93, 78, 88, 79, 111, 64, 75, 74, 10 Which one of the central tendencies best describe the difference between Irvin’s worst year and his best year?

4. Tom bought several tickets to the rodeo for his family. Tom gave the cashier a fifty dollar bill and received $18.75 in change. How many tickets did Tom buy?

Warm up Day 22 1.

What will be the tax on a $10 T-shirt? (Tax is 8.25%)

2.

A 1500 square foot house costs $175,000. What is the price per square foot?

3.

Design a word problem that can be described by the equation 4b ?

4.

Three cases of hamburgers can feed 115 people. A company is expecting 455 people for their annual family picnic. How many cases of hamburgers do they need?


Warm up: Day 23 1. Write two fractions that are equivalent to 0.5. 2. On a map 1 centimeter equals 60 miles. How many miles are represented by 3 centimeters? 3. Write an equation to match this statement: A number divided by 3, increased by 10, is 28. 4. A teacher has 32 students in her class. She wants to put them into groups of equal number. How many ways can she group her students equally?

Warm up: Day 24 1. 2/3x1/2 = 2. Triangle ABC and Triangle DEF are both equilateral triangles. Are the two triangles similar? 3. Write an equation to match this situation: Rudy saw 7 groups of birds each afternoon for 2 days. How many birds did he see all together? 4. Profits at the school concession stand decreased $25.00 per game compared to last year’s profits. What was the total change in profits for the last five games compared to the previous year?

Warm up: Day 25 1. In the coordinate plane below, which coordinates best represent the translation of the heart down 4 units and left 6 units?


2. A circle has a diameter of 10 inches. What is the circumference of the circle?

3. Use the table below to answer #3. English Test Scores Test Score

1 71

2 82

3 79

4 85

5 70

6 70

7 82

What score does Tia need to receive on the eighth test to have a mode of 82? 4, Gina purchased 3 paint brushes for $18.87, not including tax. If each paint brush cost the same amount what was the price of each paint brush?

Warm up: Day 26 1. Order from least to greatest:

3 3 , 0.25, − , − 1.0 2 4

2. A 6 ft. tall person standing near a flagpole casts a shadow 4.5 feet long. The flagpole casts a shadow 15 ft long. What is the height of the flagpole? 3. Estimate the value of g to the nearest whole number: 3.1g = 20.9 4. You make 72 cookies for a bake sale. This is 20% of the cookies at the bake sale. How many cookies are at the bake sale?

Warm up: Day 27


1. A figure is a parallelogram but not a rectangle. It has two lines of symmetry. What type of figure is it? Draw the figure and the two lines of symmetry. 2. Find the area of a triangle with base 12 meters and height 17 meters. 3. The median of a data set is 48. Find the value of the missing data item: 23 34 42 ? 62 67 4. A rectangle has a perimeter of 14 inches. Write whole-number dimensions for another rectangle with the same perimeter.

Warm up: Day 28 1 7 1. Estimate the quotient 43 á 5 4 8 2. About 21 out of 25 Texans live in an urban area. Write this data as a ratio three different ways. 3. Solve for t: 4. You rowed

t – 32.8 = -27 2 8 of a mile. You friend rowed of a mile. Who rowed farther and 3 10

by how much?

Warm up: Day 29 1. Give an example of line symmetry seen in a plant or animal. Describe the line symmetry. 2. A circle has a diameter of 50 cm. Find the circumference of the circle to the nearest tenth. Use 3.14 for pi. 3. Find the range: from -3 to 7 4. If a rectangle has a length of 14 inches and a perimeter of 34 inches, what is the width and area?

Warm up: Day 30 1. Write 0.65 as a fraction in simplest form. 2. Brenda lives 1.9 miles from school. Jamar lives 2.5 times as far as Brenda. How far does Jamar live from school?


3. Write a word phrase for the following algebraic expression: w – 3 4. Calli and Jordan are playing a video game. Calli has 784.95 points when she hits a bonus and scores 165.5 more points. Jordan has 952.6 points when he hits a trap and loses 130.25 points. Who has more points now? How many more points?

Warm up: Day 31 1. The vertices of ∆ABC are A(-3,4), B(-1,5), and C(-2,1). If the triangle is moved 3 units to the right and 2 units up, what are the new coordinates of A’? 2. What is the area of this triangles?

6cm 8cm 3. Maddie wants to show how many times she scored 92 on a science test. Which is the most appropriate to show her data? (circle graph, line graph, line plot, Venn diagram) 4. Melinda is sending her friend blocks for a gift. Each of the blocks is a cube with sides that are 3in. long. The box that the blocks will go in is a cube with sides that are 12in long. What is the greatest number of blocks that will fit in the box?

Warm up: Day 32 1. Evaluate: 48 ÷ (-4 · 3) + 2 2. Two of the angle measures of a triangle are 70º and 50º. If a similar triangle were created, which is not one of the angle measures of the similar triangle? a) 70 º b) 60 º c) 50 º d) 40 º 3.Your job pays $7 per hour. Write an algebraic expression for your pay in dollars for working h hours. 4. Greg bought a book for $20 and a magazine for $5. The sales tax on his purchase was 5%. What was the total amount of Greg purchase, including sales tax, in dollars and cents?


Warm up: Day 34 1)

Multiply 15 by 4.12. Estimate the answer.

2)

A designer drew a scale model of a ramp that will be used to load crates onto a truck. What will be the length, x, of the ramp?

x 4

8 3

3)

Keola has a circular fish pond in his backyard that has a circumference of 36 ft. Write an equation that Keola could use to find the radius of the circle.

4)

A high school yearbook adviser knows that last year about 74% of graduating students purchased a yearbook. This year’s graduating class has 233 students. Based on last year’s purchase rate, the yearbook adviser estimates that 172 graduating students will purchase a yearbook this year. Is this a reasonable estimate?

Warm up: Day 35

1) Describe the transformation of triangle ABC.


2) Find the volume of a cylinder that has a radius of 4 and a height of 10.

3) The list below shows the number of months each of several employees worked for a company. 12, 17, 21, 2, 19, 16 Is the mean of this set of data greater than the median?

4) John has scores of 88, 73, 90, 85, and 93 on five math quizzes. What score must John earn on the next math quiz to have a mean quiz score of exactly 88?

Warm up: Day 36 1) At a school football game, 35% of the people watching the game were middle school students. What fraction of the people watching the game were middle school students? 2) If a 5-pound bag of rice costs $3, how much would a 25-pound bag of rice cost at that rate? 3) Zena estimates that she needs 3.5 yards of fabric to make a new dress. The fabric she wants costs $8.75 per yard. What expression can Zena use to find the cost of the fabric needed to make the dress? 4) Mr. Taylor purchased hamburger patties and buns for a party. Each package of hamburger patties contained 10 patties. Each package of buns contained 8 buns. Mr. Taylor purchased 9 packages of patties and 11 packages of buns. What expression could be used to represent how many more hamburger patties Mr. Taylor had than buns?


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