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Summer Math Packet for Incoming 7th · PDF file7th Grade Summer Math Packet Dear Incoming 7th Graders, Please complete this summer math packet prior to the beginning of the 2014-2015

Oct 31, 2019

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  • 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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