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Oct 31, 2019

Hunter’s Creek Middle School 7th Grade Summer Math Packet

Dear Incoming 7th Graders,

Please complete this summer math packet prior to the beginning of the 2014-

2015 school year. The purpose of the math packet is to keep all of the skills you

learned in 6th grade fresh, so we can begin teaching 7th grade skills when you

return. Don’t wait until the end of the summer to begin the packet! The packet

will count as a homework grade and you will be given a test on the material within

the first two weeks of school. You must show your work on every question to

receive full credit. Please use pencil and write neatly.

You will need to access ixl.com on the internet to complete the packet. The

free version of ixl.com permits users to complete 20 questions per day per

browser. The Media Center at HCMS is open over the summer for you to use the

computers, check out books and receive math help. Please call or check the HCMS

website to check the hours of operation. If you need help with some of the skills

and can’t make it to the math help sessions at HCMS, please watch the suggested

Khan Academy videos.

We are very excited to meet all of you in August. Have a relaxing and

exciting summer break! See you soon.

Sincerely,

Rachel Gibbs Devan Edgerton Melissa Martin

Summer Math Packet for Incoming 7th Graders

Name_____________________________

Equivalent Fractions and Decimals

https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/convertin

g-fractions-to-decimals

https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/convertin

g-decimals-to-fractions-1--ex-3

Write each fraction as a decimal. Round to the nearest

thousandth, if necessary.

1. 5 18

__________ 2.

19

20 __________ 3.

5

8 __________ 4.

11

5 __________

5.

19

6 __________ 6.

17

4 __________ 7.

13

12 __________ 8.

30

7 __________

9.

7

4 __________ 10. 8

9 __________

Write each decimal as a fraction in simplest form.

11. 0.85 12. 0.11 13. 0.25

_______________________ ________________________ ________________________

14. 4.3 15. 7.75 16. 5.03

_______________________ ________________________ ________________________

17. 1.06 18. 0.375 19. 2.65

_______________________ ________________________ ________________________

20. 5.6

_______________________

https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/converting-fractions-to-decimals https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/converting-fractions-to-decimals https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/converting-decimals-to-fractions-1--ex-3 https://www.khanacademy.org/math/arithmetic/decimals/decimal_to_fraction/v/converting-decimals-to-fractions-1--ex-3

Equivalent Percents and Fractions

Percent to Fraction

85% = 85 ÷ 5 = 17 1. Drop the percent sign and write the number over 100

100 5 20

2. Reduce

Fraction to Percent

Method 1 Convert the fraction to a

decimal, then multiply by 100.

3 3÷8 = 0.3

8

Method 2 Set up equivalent fractions

(rewrite the given fraction as a number over 100)

3 = p

8 100 37.5%

0.375 x 100 = 37.5% 3(100) = 8p

300 = 8p

8 8

37.5 = p

Write each percent as a fraction in simplest form. 1. 16% 2. 49% 3. 20% 4. 15%

_______________ _______________ _______________ ________________

5. 18% 6. 60% 7. 35% 8. 46%

_______________ _______________ _______________ ________________

9. 86% 10. 79%

_______________ _______________

Write each fraction as a percent.

11.

13

40 12.

3

5 13.

3

20 14.

5

12

_______________ _______________ _______________ ________________

15.

5

16 16.

3

80 17.

5

6 18.

19

25

_______________ _______________ _______________ ________________

19.

5

8 20.

19

20

_______________ _______________

Equivalent Decimals and Percents

https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/converting-

percents-to-decimals--ex-1

https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/converting-

decimals-to-percents--ex-1

Write each percent as a decimal. 1. 15% 2. 57% 3. 20% 4. 6%

_______________ _______________ _______________ ________________

5. 4.7% 6. 13.2% 7. 75.8% 8. 4%

_______________ _______________ _______________ ________________

9. 1.16% 10. 27.05%

_______________ _______________

Write each decimal as a percent.

11. 0.17 12. 0.56 13. 0.04 14. 0.7

_______________ _______________ _______________ ________________

15. 0.025 16. 0.803 17. 0.3 18. 0.072

_______________ _______________ _______________ ________________

19. 0.07 20. 0.065

_______________ _______________

Log on to the following website and complete all 20 questions, then record the

information below:

http://www.ixl.com/math/grade-7/convert-between-percents-fractions-and-decimals

ixl.com

7th grade Date Smart Score

(minimum of 60 required)

Time Parent/ Teacher Signature

Skill K.2 / /

https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/converting-percents-to-decimals--ex-1 https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/converting-percents-to-decimals--ex-1 https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/converting-decimals-to-percents--ex-1 https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/converting-decimals-to-percents--ex-1 http://www.ixl.com/math/grade-7/convert-between-percents-fractions-and-decimals

Fractions, Decimals, and Percents https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/representing-

a-number-as-a-decimal--percent--and-fraction

Write the value modeled (shaded portion) as a fraction, decimal and percent. 1. 2. 3.

_______________________ _________________________ ____________________________

4. 5. 6.

_______________________ _________________________ ____________________________

Write each answer as a percent.

7. On a test, Hailey answered 64 out of 75 questions correctly. What portion of her answers was correct?

8. The police use a speed gun to monitor one part of a highway. During one hour, 6

out of 25 cars were traveling above the speed limit. What percent of the cars were

traveling above the speed limit?

Us the table at the right to answer questions 9 & 10.

9. What percent of students at

Madison do not own computers?

Round to the nearest tenth of a

percent

10. Which school has the greatest

percent of students who own

computers?

Students Who Own Computers

School Number of Students

Madison 90 out of 270

Hunter 56 out of 100

King 110 out of 150

Percy 125 out of 500

https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/representing-a-number-as-a-decimal--percent--and-fraction https://www.khanacademy.org/math/arithmetic/decimals/percent_tutorial/v/representing-a-number-as-a-decimal--percent--and-fraction

Solving Proportions Method 1 https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-

7th-constructing-proportions/v/find-an-unknown-in-a-proportion-2

Method 2: Cross Products

4

15

36

c 1. Cross Products

4c = 15(36) 2. Multiply 4c = 540 4 4 3. Divide by the number next to the variable c = 135

Solve each proportion.

1.

7

r

1

4 2.

k

75

9

15 3.

24

21

s

35

_______________________ ________________________ ________________________

4.

17

34

7

f 5.

15

h

5

6 6.

5

14

n

42

_______________________ ________________________ ________________________

7.

z

25

12

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