th 7 Grade Summer Math Packet...Sierra Verde STEM Academy 7 th Grade Summer Math Packet Dear Incoming 7th Graders, Please complete this summer math packet prior to the beginning of

Sierra Verde STEM Academy

7th Grade Summer Math Packet

Dear Incoming 7th Graders,

Please complete this summer math packet prior to the beginning of the 2015- 2016 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 or blue/black pen and write neatly, all work

should be “camera ready”. Think of camera ready as being your final draft of your work.

This packet will also guide you through setting up the necessary online tools that we will

be using in the seventh grade.

Remind 101 Remind is a free, safe, and simple messaging tool that helps teachers share

important updates and reminders with students & parents. Subscribe by text, email or using

the Remind app. All personal information is kept private. Teachers will never see your phone

number, nor will you see theirs. Visit remind.com to learn more.

To receive messages via text, text @snetz to 81010. You can opt-out of messages at

anytime by replying, 'unsubscribe @snetz'.

To receive messages via email, send an email to [email protected]. To unsubscribe,

reply with 'unsubscribe' in the subject line.

www.IXL.com - 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.

www.khanacademy.org - I am asking that you set up an account on Khan Academy and add

me as a coach. If you need help with some of the skills please watch the suggested Khan

Academy videos. Please sign up at khanacademy.org (or log in with their existing accounts)

Visit khanacademy.org/coaches There, in the "Add a coach" field, enter the class

code HGNJM6

If you have any questions please e-mail me at [email protected]. My name

is spelled strangely so please copy it carefully when e-mailing me.

I am very excited to meet all of you in August. Have a relaxing and exciting summer

break! See you soon.

Sincerely,

Sallie Netz-Mowrer

Name: __________________________________________ Due: August 14, 2015

Dear Parents,

Please help your child by Setting up Khan Academy:

If you already have a Khan Academy account, you can visit khanacademy.org/parent and click

the "Add your child" button. (If you don't have an account for yourself go

to www.khancademy.org to create one.)

Once you click "Add your child," you will be asked for your child's birth date: month/day/year

Your child's birthday is needed to determine permissions available. Accounts for

students under 13 are managed by a parent to protect the child's privacy. You can find more

information about accounts for students under 13 by visiting the Khan Academy website.

If your child is under age 13: You will get a form to fill out for your child (note the account

is a restricted child account). Fill out the form and click “Next” to create the account.

If your child is age 13 or over: You will be asked if your child has an email address. If your

child has an email address you may either send your child an invitation to join Khan Academy, or

you could create the account for your child:

If your child does not have an email address (or your choose to create the account yourself) you

will get a form similar to the form if your child were under 13. Fill out the form and click next.

Multiple children: If you have more children you can continue creating accounts now by clicking

"Add another child."

After account creation: After you have created your child account(s) you can return to your

homepage and log out and your child can log into his/her account. Always remember to log out

of your account when you are done using it and teach your child to do the same.

Addding Mrs. Netz as a Coach: When you add someone as a coach, you give them access to

your progress information so that they can better support your learning. Follow the

instructions below if you are a student who wants to add a coach.

1) Once logged into your Khan Academy account, click your name at the top right. A menu

will open. Click “Profile.”

2) Click “Coaches” to see a list of your coaches.

3) Follow the prompts to add a coach.

a. in the "Add a coach" field, enter the class code HGNJM6

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 your answer to the nearest thousandth, if necessary.

Write each decimal as a fraction in simplest form.

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

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

Equivalent Percents and Fractions

Percent to Fraction

85% =

1. Drop the percent sign and write the number over 100

2. Reduce by dividing by a common divisor

Fraction to Percent

Method 1 Convert the fraction to a

decimal, then multiply by 100.

0.375 x 100 = 3.75 %

Method 2 Set up equivalent fractions

(rewrite the given fraction as a number over 100)

3(100) = 8p Find the cross products

300 = 8p Divide both sided by 8

Write each percent as a fraction in simplest form.

21) 16% 22) 49% 23) 20% 24) 15% 25) 18%

26) 60% 27) 35% 28) 46% 29) 86% 30) 79%

Write each fraction as a percent.

31)

32)

33)

34)

35)

36)

37)

38)

39)

40)

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

41) 15% 42) 57% 43) 20% 44) 6% 45) 4.7%

46) 13.2% 47) 75.8% 48) 4% 49) 1.16% 50) 27.05%

Write each decimal as a percent.

51) 0.17 52) 0.56 53) 0.065 54) 0.04 55) 0.7

56) 0.025 57) 0.803 58) 0.3 59) 0.072 60) 0.07

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

htt p:/ /w ww.ixl . com/math/grade-7/convert-betw een-percent s-f racti ons-and-decimal s

ixl.com

7th grade

Date

Smart Score (minimum of 60 required)

Time

Parent/ Guardian Signature

Skill K.2

/ /

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.

Write each answer as a percent.

67) 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?

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

Use the table at the right to answer questions below

69) What percent of students

at Madison do not own

computers? Round to the

nearest tenth of a percent

70) Which school has the greatest percent of 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

61)

62) 63)

64)

65) 66)

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

36(15) = 4c Find the cross products

540 = 4c Divide both sided by 8

c = 135

Solve each proportion.

71)

72)

73)

74)

75)

76)

77)

78)

79) Eight oranges cost $1.00. How much will 5 dozen oranges cost?

80) A recipe calls for 2 eggs to make 10 pancakes. How many eggs will you need to make 35 pancakes?

Log on to the following website and complete all 20 questions, then record the information below: http: //ww w.i xl. c om/ma th/gra de-7 /s olve -proportions

ixl.com

7th grade

Date Smart Score (minimum of 60 required)

Time Parent/ Guardian Signature

Skill J.8

/ /

Adding Integers https://www.khanacademy.org/math/arithmetic/absolute-

value/adding_subtracting_negatives/v/adding-negative-numbers

https://www.khanacademy.org/math/arithmetic/absolute-

value/adding_subtracting_negatives/v/adding-integers-with-different-signs

Use a number line to find each sum.

81) -1 + 5

82) 4 + (-6)

Draw a picture to model each sum.

83) 20 + (-7) 84) -12 + (-15) 85) -13+ 9 86) -9+ (-11)

Find each sum.

87) -51 + (-9) 88) 42 + (-6) 89) 1 + (-30) 90) 15 + (-25)

91) The temperature rose 9 °F in 3 hours. If the

starting temperature was 5 °F, what was the final temperature?

92) Matt is playing a game. He gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. What is his final score?

Log on to the following website and complete all 20 questions, then record the information below: http: //ww w.i xl. c om/ma th/gra de -6 /a dd-intege rs

ixl.com

7th grade

Date Smart Score (minimum of 60 required)

Time Parent/ Guardian Signature

Skill I.6

/ /

The Coordinate Plane

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th- coordinate-

plane/v/plot-ordered-pairs

Identify the quadrant that contains each point. Give the coordinates of each point.

93) A ___________________________

94) B ___________________________

95) C ___________________________

96) D ___________________________

Plot each point on a coordinate plane.

97) E (2, 2)

98) F (4, 5)

99) G (0, 2)

100) H (4, 4)

101) I (3, 0)

102) J (3, 1)

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

http: //ww w.i xl. c om/ma th/gra de-7 /points -on-c oordinate -gra phs

ixl.com

7th grade

Date Smart Score (minimum of 60 required)

Time Parent/ Guardian Signature

Skill S.1

/ /

The Coordinate Plane Graph each point on the grid below. Connect each point to the previous one as you graph it. Then

connect the last point to the first point.

103) (0, 10) 104) (1, 9) 105) (2.5, 7) 106) (5, 7)

107) (-6, -5) 108) (-10, -5) 109) (-13, -3) 110) (-15, -1)

111) (-16, 2) 112) (-15, 8) 113) (-15, 10) 114) (-3, 9)

115) (4, 8) 116) (4, 7) 117) (6, 8) 118) (6, 4)

119) (8, 6) 120) (9, 6) 121) (9, 3) 122) (11, 5)

123) (16, 10) 124) (18, 8) 125) (16, 6) 126) (18, 4)

127) (14, 1) 128) (14, -1) 129) (11, -5) 130) (12.5, -8)

131) (13, -10) 132) (11, -9) 133) (9, -6) 134) (2.5, -7)

135) In which state is the point (0, 8)? _________________________

136) Name a point in the state of Florida. _________________________

Adding and Subtracting Fractions https://www.khanacademy.org/math/arithmetic/fractions/fractions-unlike- denom/v/adding-fractions-

with-unlike-denominators

137) 10

18

5

48 =

138) 7

3

3

21 = 139)

12

11

8

516 =

140) 15

115

3

26

5

43

=

141) 3

2

12

111

= 142) 1

8

14

=

143) 3

1

6

15 2 =

144) 8

12

2

114 = 145)

5

1

5

27 1 =

146) Find the total width of 3

boards that are

inches

wide,

inch wide, and

inches wide.

147) A 7.15H tire is

inches

wide and a 7.15C tire is

inches wide. What is

the difference in their widths?

148) Gabriel wants to make five banners for the parade. He has 75 feet of material. The size of four of the

banners are: 12

,

,

, and

feet. How

much material is left for the 5th banner?

Log on to the following website and complete all 20 questions, then record the information below: http://www.ixl.com/math/grade-7/add-and-subtract-mixed-numbers-word- problems

ixl.com

7th grade

Date Smart Score (minimum of 60 required)

Time Parent/ Guardian Signature

Skill G.4

/ /

Multiplying Fractions and Mixed Numbers

https://www.khanacademy.org/math/arithmetic/fractions/multiplying_fractions/v/multiplyi ng-fractions

https://www.khanacademy.org/math/arithmetic/fractions/multiplying_fractions/v/multiplyi ng-fractions

https://www.khanacademy.org/math/arithmetic/fractions/mixed_number_mult_div/v/multi plying--

mixed-numbers

149)

150)

151)

152)

153)

154)

155)

156)

157)

158)

159)

160)

161)

162)

163)

164)

165)

166)

167)

168)

169) Five friends buy a package of 12 cookies and want to share them equally. Each friend will get 1/5 of the cookies. How much will each friend get?

170) A dime is 1/2 inch wide. If you put 5 dimes end to end, how long would they be from beginning to end?

Dividing Fractions and Mixed Numbers

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic- operations/cc-6th-

dividing-fractions/v/dividing-fractions-example

Divide. Write each answer in simplest form.

Log on to the following website and complete all 20 questions, then record the information below: http://www.ixl.com/math/grade-7/add-subtract-multiply-and-divide-fractions-and-mixed- numbers-word-problems

ixl.com

7th grade

Date Smart Score (minimum of 60 required)

Time Parent/ Guardian Signature

Skill G.15

/ /

171)

172)

173)

174)

175)

176)

177)

178)

179)

180)

181)

182)

183)

184)

185)

186) Three friends are training for a race. Last week, Jacquis ran 3 more miles than Ellen. Miryana ran 1.5 times as far as Jacquis. If Miryana ran 7 miles last week, how many miles did Ellen run?

187) Jenna is designing a statue for a monument. The torso needs to be 2.5 times the length of the head, and the legs need to be 1.6 meters longer than the torso. If the legs are 5.2 meters long, what is the length of the head?