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2017 Summer Assignment

for

Students Entering AMS 6

All students entering AMS 6 are required to complete this assignment. The completed

packed is due on the first day of school. Late assignments will lose 10 points a day.

Student responsibilities:

Attempt to answer every question and show all of your math work in a separate notebook.

Be sure to write your answers in this assignment packet in the space provided.

Do your best without a calculator.

Follow the timeline for completion on the next page so that you do not get overwhelmed

just before school starts.

If you need help, use the websites listed on the next page for assistance.

___________________________________ _________________________

Student Signature Date

Parent /Guardian Responsibilities

Parents / Guardians will be able to promote student success in math by:

▪ Supporting and monitoring your child’s completion of the math summer packet.

▪ Encouraging your child’s use of math concepts in summer activities.

___________________________________ _________________________

Parent’s/Guardian’s Signature Date

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It is strongly recommended you follow the timeline below so that you do not

get overwhelmed just before school starts. Completing these assignments in a timely manner

will also ensure your skills remain sharp throughout the summer.

Domain Topic Pages in Packet Timeline for Completion

Domain 1 The Number System Pages 3-8 Friday, July 7

Domain 2 Ratios and Proportional Relationships

Pages 9-10 Friday, July 14

Domain 3 Expressions and Equations Pages 10-12 Friday, July 21

Domain 4 Geometry- Area Page12 and Chapter 10 in Go Math! Textbook

Friday, August 3

Domain 4 Geometry- Volume and Surface Area

Page 13 and Chapter 11 in Go Math! Textbook

Friday, August 17

Need Help? Check out these helpful websites

http://www.khanacademy.org/#browse

http://www.aaamath.com

http://www.onlinemathlearning.com/grade-7.html

https://www-k6.thinkcentral.com/dashboard/home

http://aplusmath.com/Flashcards/index.html

http://www.purplemath.com/modules/index.htm

http://coolmath4kids.com/

http://appleuniversity.com/

http://youtube.com/

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Domain 1: The Number System

A. Factors and Multiples

1. What is the Greatest Common Factor (GCF) of 12 and 20? ______________________

2. I am between 15 and 25. I am a multiple of 5. I am a factor of 40. What number am I ? ________________

3. What is the Least Common Multiple (LCM) of 9 and 12? ___________________________

4. I am between 10 and 15. I am a multiple of 2. I am a factor of 48. What number am I? ________________

5. List the factors of 24. _____________________________________________________

6. What are the first 3 common multiples of 6 and 9? ___________________________

7. Elizabeth and Mimi are playing a factor game. Elizabeth told Mimi that she was thinking of a mystery

number that had 2,7, and 9 as factors. She said there were nine other factors of her number. What are the

other factors of here number? What is her mystery number? __________________

8. Mrs. Neff directs two choruses. One chorus has 28 students. The other chorus has 36 students. For

rehearsals, she wants to divide each chorus into the largest possible equal groups, with no students left over.

How many students will be in each group? ______________

9. Two airport shuttle trains leave the main station at the same time. Shuttle A returns to the station every 8

minutes. Shuttle B returns to the station every 10 minutes. In how many minutes will Shuttles A and B leave

the station together for the second time? ______________________

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10. Jenna bought two plants. She decided to water her first plant every 3 days and her second plant every 4

days. If she watered both plants on June 1, how many days passed before she watered both plants on the

same day again? ___________________________

11. Multiple Choice(circle). The number 108 can be expressed as the sum of 100 + 8. Which shows how to

use the distributive property to rewrite the sum as a multiple of a sum whose addends have no common

factors?

a. 2(50 + 4) b. 4(25 +2) c. 5(20 +1) d. 8 (12 + 1)

B. Divide Whole Numbers

1. 1800 ÷ 6 = ____________

2. 900 ÷ 30 = ____________

3. Estimate 1488 ÷ 13 ____________

4. 1513 ÷ 17 = ____________

5. 5600 ÷ 7 = _____________

6. 579 ÷ 23 = ____________

7. John flew from New York to Japan, a distance of 6,375 miles. If the flight took 15 hours, what was the

plane’s average speed per hour? __________________________

8. Eggs are packed 12 in a carton. How many cartons are needed to pack 7,260 eggs? ________________

9. Ticket sales for a concert totaled $89,200. If each ticket cost $16, how many tickets were sold? ________

10. Homer’s annual salary is $74,308. How much is he paid per week? __________________

11. An airport has 24 gates. 43,776 passengers left through the gates during the month, what is the average

number of passengers that left through each gate? _______________________

12. The 200 sixth-grade students at TB Middle School are going on a field trip. Each van can hold 12 students.

How many vans are needed for the field trip? __________________________

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C. Integers

Comparing and Ordering Integers: For (a-l), use >, <, or = to compare the integers.

a. 3 _____ −5 b. −10 _____ 0 c. −7 _____ 7 d. −8 _____ −2

Ordering Integers: Put each set of numbers in order from smallest to largest.

e. −3, 1, −2 ___________________ f. −5, −6, −1 _______________________

D. Absolute Value of Integers: Find the absolute value of each integer.

g. |- 9| = __________ h. |22| = __________ i. |- 88 | = __________

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E. Compare and Order Rational Numbers

1. Arrange the numbers from smallest to largest.

, 2

, 2

________________________________

2. Which is longer, 17 months or 1

years? ________________

3. Compare using >, <, or =. 4

______

4. Which of the following is not equivalent to

(circle) ?

,

,

,

______________________________________________

5. 3/5 = 3+ 18 10 +?

6. Which of the following is nearest to 4(circle)? 3

, 3

, 4

, 4

7. Compare using >, <, or =.

______ 4

8. Order from smallest to largest: 10.2, 10.19, 10.01, 10.02 ______________________________________

9. Order from smallest to largest:

,

,

______________________________

11. Which is smallest? .5, .005, .05, 5 ____________

12. The table shows the Daily High Temperatures in Anchorage, Alaska, over a 5-day period in December.

Order the temperatures from coldest to warmest.

Day High

Temperature

Monday -10° F

Tuesday 0° F

Wednesday -4° F

Thursday -6° F

Friday 2° F

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E. Add and Subtract Decimals

1. 92.12 - 76.8 = ________________

2. 53,000 - 4,000.0 = ________________

3. A plumber has two metal pipes. The first pipe is 2.35 meters long. The second pipe is 1.725 meters long.

How much longer is the first pipe than the second pipe? ____________________

4. Lana and Tom each bought fruit punch for a school brunch. Lana bought a container with 1.89 liters of fruit

punch. Tom bought 3 small containers, each of which held 0.473 liter of fruit punch. Who bought more fruit

punch? How much more fruit punch, in liters, did the student buy?

5. The mean distance from Mars to the sun is 141.633 million miles. The mean distance from Mercury to the

sun is 35.983 million miles. Approximately how much closer to the sun is Mercury than Mars?

______________________________________________

6. Jill’s family drove 129.5 miles on the first day of their vacation. The next day they drove 43.25 miles, and

the third day, they drove 36.5 miles. How many more miles did they drive on the first day than on the second

and

third days combined? _____________________________

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F. Multiply and Divide Decimals

1. 0.4 x 0.6 = ________________

2. 94.75 ÷ 3.9 = ________________

3. Karen buys fancy yarn at a cost of $0.36 per yard. She uses 0.5 yard of that yarn to

make a necklace. How much did the yarn used to make the necklace cost?

________________

4. A scientist has 18.6 milliliters of a chemical solution. She divides the solution evenly

among 8 different cylinders for an experiment. How many milliliters of solution will be in

each cylinder?

______________________________________________

G. Divide Fractions and Mixed Numbers

1. Mary brought back ¾ pound of chocolate from her vacation. She gave 1/8 pound of

chocolate to each of her nephews and nieces. If Mary gave away all the chocolate, how

many nephews and nieces does she have?

____________________________________________

2. Sam made 7/8 gallon of lemonade to sell at his lemonade stand. If each serving of lemonade is 1 cup, how

many servings can he sell? (Note: 1 cup = 1/16 gallon).

______________________________________________

3. Sarah estimates that it will take her 16 2/3 hours to complete a project for her playwriting class. She spent

4 1/6 hours working on the project last weekend. What fraction of the time needed to complete the project did

she work last weekend? ____________________________

4. Jane bought 7 ½ bags of mulch to cover a 2 ¼ square-yard garden. He spread the mulch evenly across

the garden. How many bags of mulch are needed to cover each square yard?

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Domain 2: Ratios and Proportional Relationships

A. Ratios

1. The Bobcats won 12 games and lost 5 games this season. Circle every ratio of the Bobcats’ wins to

losses.

a. 12:5 b. 5:12 c. 12/17 d. 12 to 5 e. 12/5 f. 5 to 12 g. 12:17

2. There were 15 cars and 25 trucks in the parking garage. What is the ratio of cars to total vehicles?

______________________________________________

B. Equivalent Ratios

1. Emma is driving at a constant speed. She drives 4 miles in 5 minutes. If she continues to drive at the same

speed, how many miles will she drive in 15 minutes? ___________________

2. Jim bought several cans of tennis balls. Each can contained both green and yellow tennis balls. He

purchased 10 green tennis balls and 5 yellow tennis balls in all. If each can has 2 green tennis balls in it, how

many yellow tennis ball are in each can? _____________________

3. The ratio of blue marbles to red marbles in a bag is 11:9. If there are 99 blue marbles in the bag, how

many red marbles are there? ___________________________________________

C. Unit Rates

1. A party mix has 8 ounces of pretzels, 3 ounces of mini marshmallows, and 6 ounces of nuts. How many

ounces of nuts are there for every ounce of pretzels? _________________________

2. Nick biked 54 miles in 4 ½ hours. What was Nicks average speed in miles per hour? ________________

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D. Working with percents

1. A group of students is trying out for the soccer team. Of those students, 22 are seventh graders. If 55% of

the students trying out are seventh graders, how many students in all are trying out? _______________

2. A pet store has 52 freshwater fish which represents 80% of the total fish in the store. How many fish does

the store have in all? ________________

3. Circle every true relationship.

a. 14% = .14 b. 80% =

c. 65 =65% d.

= 0.21 e.

=0.04

Domain 3: Expressions and Equations

Write Expression -Translating Words into Mathematical Expressions

Example:

8 times 2 means 8 x 2

4 + c means c more than 4

Translate the words into numbers, variables, and symbols.

1) 10 less than 14 ________________ 2) half of 16 ________________ 3) v squared ______________

4) t more than 9 ________________ 5) 3 cubed ________________ 6) the sum of 2 and 12 ______

7) the product of 5 and x _________ 8) twice 11 ________________ 9) 2 to the 4th ____________

10) the quotient of 24 and 8 _____________

11) Oscar bought n ride tickets at the carnival. Ellen bought 4 times as many ride tickets as Oscar. Which

expression represents the total number of ride tickets that Oscar and Ellen bought?

______________________________________________

12) Write the expression that represents “9 less than the product of 5 and a number n”?

______________________________________________

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B. Evaluate Expressions

1. The volume of a cube can be found with the formula V = s3, where s is the side length of the cube. Tamara

has two cubes. The first cube has a side length of 4 centimeters. The second has a side length of 7

centimeters. What are the volumes of Tamara’s cubes?

2. What is the value of the expression: 20 + 8 – 42

3. If m=9 and n=3, what is the value of the expression: m2 ÷ (n+6)

4. 21 + 6 ÷ 3 x (11-4)

C. Work with Expressions

1. Write an equivalent expression for 56X-63.

2. Simplify using like terms: 10x + 6y +4x.

3. Write an expression that is equivalent to 6(p +5).

4. The lengths of a triangle are represented by 3m, 3m, and 3m.

a. What is an expression, in simplest form, for the perimeter of the triangle?

b. Use the distributive property to write an equivalent expression for the perimeter of the triangle?

D. Equations - Solve the expressions algebraically.

1. 2x = 32 2. n-87 = 165 3. 29 + c = 62 4. ⅕ k = 5

5. Circle every equation that has a solution of 12.

a. 9x = 108 b. x/3 =4 c. x + 3 = 9 d. X - 4 = 16

E. Dependent and Independent Variables

1. Multiple Choice. Which equation represents the relationship between x and y shown in the table.

a. y = x - 4 b. y = 3x c. y = ⅓ x d. y = 6x

x 6 12 18 24

y 2 4 6 8

2. Multiple Choice. Which ordered pair does not represent the equation y = x + 3?

a. (1,4) b. (3,9) c. (12, 15) d. (18, 21)

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F. Use Equations to Solve Problems

1. Ted has 60 books on 6 shelves. The bottom shelf has 15 books. The other shelves have an equal

number of books. Write an equation that can be used to find b, the number of books on each of the top

5 shelves. Then solve the equation.

2. A babysitter charges $5 per hour plus a flat fee of $10 for each babysitting job. How many hours did the

babysitter work if she earned $35? Write an equation to represent the situation. Then solve the

equation.

3. 3. Mr. Alvarez bought concert tickets for his family of 6. The total cost of the tickets was $320. There

was a $20 handling fee. Write an equation that can be used to find t, the cost of each ticket. Then solve

the equation.

4. Tristan has 20 less than 3 times as many DVDs as Anna. If Tristan has 55 DVDs, how many DVDs

does Anna have?

Domain 4: Geometry

Complete the lessons listed below in your Go Math! Textbook. If you need help, visit the Khan Academy website. This website allows you to search for video tutorials on any math topic. Chapter 10 Ch 10.1 - Complete pages 371-372

Complete pages 373-374 problems 1-19 (odd)

Ch 10.2 - Complete page 375 Complete page 377 problems 1-11 (odd)

Ch 10.3 - Complete pages 379-380 Complete pages 381-382 problems 1-11 (odd) Ch 10.4 - Complete page 383

Complete page 385, problems 1-11 (odd)

Ch 10.5 - Complete pages 387-388 Complete pages 389-390, problems 1-12 (odd) Ch 10.6 - Complete pages 393-394 Complete page 395, problems 1-6 Ch 10.7 - Complete pages 397-398 Complete page 399, problems 1-5

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Ch 10.8- Complete pages 401-402 Complete pages 403-404, problems 1-9 (odd) Ch 10.9 - Complete pages 405-406 Complete pages 407-408, problems 1-10 (odd) Complete the Chapter 10 Review. pages 409-411 Chapter 11 CH 11.1 - Complete pages 415-416 Complete pages 417-418, problems 1-10 (odd) CH 11.2 - Complete page 420 Complete page 421, problems 1-7 Ch 11.3 - Complete pages 423-424 Complete pages 425-426, problems 1-9 (odd) Ch 11.4 - Complete pages 427-428 Complete pages 429-430, problems 1-13 (odd) Ch 11.5 - Complete page 434 Complete pages 435-436, problems 1-13 (odd) CH 11.6 - Complete pages 437-438 Complete page 439, problems 1-9 CH 11.7 - Complete page 441-442 Complete pages 443-444, problems 1-9 (odd) Complete the Chapter 11 Review, pages 445-447