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I hope that you find this resource helpful in your classroom. Please feel free to contact me with any questions as you implement this in your class. Maneuvering the Middle is an education blog with valuable tips for lesson planning, teacher organization, and math concepts in the middle school classroom. Print and copy this resource for your personal classroom use only. Save this to both home and school computers. Only post this only for students on a password protected class website. Reproduce or distribute this resource to other colleagues. Post this on the internet in any form, including classroom/personal websites, network drives, or other sharing websites (i.e. Amazon Inspire, etc). PLEASE /ManeuveringTheMiddle /maneuveringthem @maneuveringthemiddle maneuveringthemiddle.com PLEASE DO NOT THANK YOU FOR YOUR PURCHASE! PAGE ONE ©Maneuvering the Middle LLC, 2012-Present Products by Maneuvering the Middle, LLC may be used by the purchaser for their classroom use only. This is a single classroom license only. All rights reserved. If you wish to share this product with your team or colleagues, you may purchase additional licensing at a discounted rate.

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Page 1: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

I hope that you find this resource helpful in your classroom. Please feel free to contact me with any questions as you implement this in your class.

Maneuvering the Middle is an education blog with valuable tips for lesson planning, teacher organization, and math concepts in the middle school classroom.

Print and copy this resource for your personal classroom use only.

Save this to both home and school computers.

Only post this only for students on a password protected class website.

Reproduce or distribute this resource to other colleagues.

Post this on the internet in any form, including classroom/personal websites, network drives, or other sharing websites (i.e. Amazon Inspire, etc).

PLEASE

/ManeuveringTheMiddle /maneuveringthem

@maneuveringthemiddle maneuveringthemiddle.com

PLEASE DO NOT

THANK YOU FOR YOUR PURCHASE!

PA G E O N E

©Maneuvering the Middle LLC, 2012-Present

Products by Maneuvering the Middle, LLC may be used by the purchaser for their classroom use only. This is a single classroom license only. All rights reserved. If you wish to share this product with your team or colleagues, you may purchase

additional licensing at a discounted rate.

Page 2: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

CLIPART AND FONT ATTRIBUTION

Maneuvering the Middle resources include clipart and fonts from the following designers.

M A N E U V E R I N G T H E M I D D L E .C O M

PA G E T W O

Page 3: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

©Maneuvering the Middle LLC, 2017

Page Topic resource

4 Sample Pacing Guide

5-6 Ideas for Implementation & Helpful Hints

7-16 Binder Covers, Dividers, and Spine Labels

17-18 Modeling Percents Student Handout 1

19 Modeling Percents Homework 1

21-22 Representing Benchmark Fractions and Percents Student Handout 2

23 Representing Benchmark Fractions and Percents Homework 2

25-26 Converting Fractions, Decimals, and Percents Student Handout 3

27 Converting Fractions, Decimals, and Percents Homework 3

29-30 Equivalent Forms of Numbers Quiz Quiz 1

31-32 Percent Application – Finding the Part Student Handout 4

33 Percent Application – Finding the Part Homework 4

35-36 Percent Application – Finding the Percent Student Handout 5

37 Percent Application – Finding the Percent Homework 5

39-40 Percent Application – Finding the Whole Student Handout 6

41 Percent Application – Finding the Whole Homework 6

43-46 Percents Unit Study Guide Study Guide

47-48 Percents Unit Test Test

49-50 *Bonus – Mini-Quiz for FDP fluency Mini Quizzes

PERCENTS unitTable of Contents

Page 4: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

©Maneuvering the Middle LLC, 2017

PercentsPACING GUIDE

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5

Modeling Percents Representing Benchmark Fractions

and Percents

Converting Fractions, Decimals, and

Percents

Equivalent Forms of Numbers Quiz

Percent Application –Finding the Part

Student Handout 1Homework 1

Student Handout 2Homework 2

Student Handout 3Homework 3

Quiz 1 Student Handout 4Homework 4

DAY 6 DAY 7 DAY 8 DAY 9 Notes

Percent Application –Finding the Percent

Percent Application –Finding the Whole

Percents Unit Study Guide

PercentsUnit Test

Student Handout 5Homework 5

Student Handout 6Homework 6

Unit Study Guide Unit Test

Page 5: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

*NOTE: This file has been organized for double-sided printing. Any blank pages were left so intentionally to make printing easy.

Ideas for Implementation: This bundle has all of the notes, homework, quizzes, and tests to make your life easier and help your students to be successful with percent concepts. A sample pacing guide is included for those of you who do not have a district scope and sequence or if it is very general. Additionally, an answer key is included.

If you notice any discrepancies in the documents or have any questions, please email me at: [email protected].

READINESS

6.4G Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money.

6.5B Solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models.

SUPPORTING

6.4E Represent ratios and percents with concrete models, fractions, and decimals .

6.4F Represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers.

6.5C Use equivalent fractions, decimals, and percents to show equal parts of the same whole.

PERCENTSStudent Handouts

©Maneuvering the Middle LLC, 2017

Page 6: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

HELPFUL Hints

A few ideas for organizing your curriculum and keeping things nice and neat.

Keep each unit in a separate binder, and use the spine labels and covers to keep them looking nice and easy to find. I personally love 1.5” binders.

©Maneuvering the Middle LLC, 2017

Student Handouts

BINDERS

I place my originals in page protectors in chronological order. Any extra copies from that lesson I hole punch and place behind that page. When I need an extra or a student is missing something from weeeeeeeeks ago, I can simply pull out a copy.

Page protectors

I highlight the edges of my answer keys or if I am really good print them on colored paper. It helps them to stand out and makes them easy to find on my desk, in a binder, by the document camera, etc. Plus, highlighter doesn’t show up if you make a copy.

Answer Keys

Card stock in a page protector makes an awesome divider. When I set up my dividers I include one for handouts, activities, assessments, and answer keys. Binder covers and spine labels have been included J

Card stock

Happy Teaching!

Page 7: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

©MANEUVERINGTHEMIDDLE,2017

s i x t h G r a d e C u r r i c u l u m

U n i t F I V E : 6 . 4 E 6 . 4 F 6 . 5 G 6 . 5 B 6 . 5 C

Page 8: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 9: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

PE

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6.4

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6.5

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6.4

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6.5

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Page 10: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 11: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

©MANEUVERINGTHEMIDDLE,2017

s i x t h G r a d e C u r r i c u l u m

U n i t F I V E : a n s w e r k e y s

Page 12: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 13: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

©MANEUVERINGTHEMIDDLE,2017

s i x t h G r a d e C u r r i c u l u m

U n i t F I V E : a c t i v i t i e s

Page 14: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 15: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

©MANEUVERINGTHEMIDDLE,2017

s i x t h G r a d e C u r r i c u l u m

U n i t F I V E : a s s e s s m e n t s

Page 16: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 17: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Use the percent model to answer the questions below.

1. What percent of the squares are shaded?

2. What is the ratio of the white squares to total squares?

3. How are the percent and ratio related?

Name _____________________________________Date ______________________________Pd______

Unit: PercentsStudent Handout 1

MODELING PERCENTSBrainstorm where you have heard the term “percent”. What other words does it sound like?

Use the hundreds model to shade the following quantities.

©Maneuvering the Middle LLC, 2017

50 35 10

partwhole

: partwhole

:partwhole

:

percent: percent:percent:

Percent is a part to whole ratio, where the whole is always ____________.

Page 18: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

At Rosemont Middle School, 55% of the student body purchases their lunch at school.

4. Write that as a ratio of part to whole.

5. What percent represents the student body who brings their lunch?

6. How are both of these percents related to the whole?

Complete the table below with the missing information.

percent:

partwhole

:

85%

40100

A percent can also be written as a ________________.

70% = =

(read it out loud)

decimal:

16% = =

28% = = 62% = =

©Maneuvering the Middle LLC, 2017

Summarize today’s lesson:

Page 19: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Name _____________________________________Date ______________________________Pd______

Unit: PercentsHomework 1

Elise is playing memory with different math cards. There are two versions of each percent represented below. Find the matches and label them in the table.

©Maneuvering the Middle LLC, 2017

Match 1 Match 4 Match 7

Match 2 Match 5 Match 8

Match 3 Match 6 Match 9

LN

MODELING PERCENTS

89

100

Page 20: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 21: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

How do the fractions you wrote compare to the original fraction?

Convert each fraction below, so that the denominator is 100.

CONVERTING FRACTIONS

TO PERCENTS

• A ____________________ can be written as a percent when the

denominator is _________.

• If the denominator is a friendly number, you can ____________ up or

down, or use a _________________ .

Name _____________________________________Date ______________________________Pd______

Unit: PercentsStudent Handout 2

REPRESENTING BENCHMARK FRACTIONS & PERCENTS

©Maneuvering the Middle LLC, 2017

69

Practice making two equivalent fractions for each of the fractions below.

810

54

620

710

34

fractionx

100percent

325

3550

1920

Complete the tables below.

fractionx

100percent

825

6050

1320

Page 22: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Stripdiagrams &

number lines

• Divide the strip or number line into the same number of sections as the

_________________ .

• Shade the number of parts indicated by the _________________ and

estimate the value.

fraction percent

It can also be more complex. What about one-eighth?

18

v

13

v

25

v

Find the missing equivalent number in the table below.

23

60%

©Maneuvering the Middle LLC, 2017

Summarize today’s lesson:

fraction percent

43

90%

12

38

Page 23: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Name _____________________________________Date ______________________________Pd______

Unit: PercentsHomework 2

©Maneuvering the Middle LLC, 2017

1. Use a model to find the percent that each fraction represents.

23

v

78

v

REPRESENTING BENCHMARK FRACTIONS AND PERCENTS

fractionx

100percent

1125

2950

1520

4. Complete the tables below.

fractionx

100percent

2. Which of the following points on the number line best represents 58? _________

3. Which of the following points on the number line best represents 56? _________

0 1

A B C D

0 1

A B C D

20%

80%

15%

Page 24: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 25: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

If you have 100% of something, then you have the _________________ amount or ______.

Convertingfractions to

decimals

• A fraction can be _________________ to a decimal by

_________________ the numerator by the denominator.

• Ex: 34

=

Name _____________________________________Date ______________________________Pd______

Unit: PercentsStudent Handout 3

Converting fractions, decimals, and percents

©Maneuvering the Middle LLC, 2017

Marsha says that she has a whole candy bar. Jose says that he has 100% of a candy bar. Explain who is correct.

_________________________________________________________________________________________

___________________________________________________________________________________

_________________________________________________________________________________________

1.3

8

2.1

25

3.

14

5

4.

21

3

5.7

8

6.17

20

Convertingdecimals to percents

• A decimal can be converted to a percent by _________________ by

100, or moving the decimal _________________ to the right.

• Ex: 0.85 = 85% 0.7 = 70% 1.25 = 125%

Convert each fraction below to the decimal equivalent.

Page 26: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Match the following decimals and percents below.

©Maneuvering the Middle LLC, 2017

Summarize today’s lesson:

____7. 1.9 ____8. 0.9 ____9. 0.09 ____10. 0.99 ____11. 1.09 ____12. 0.009

A. 109% B. 99% C. 0.9% D. 190% E. 90% F. 9%

Use your understanding of equivalent forms of numbers to complete the problems below.

13. A packing box is filled 45

of the way with

packing peanuts. What decimal represents the fraction of the box filled with packing peanuts?

14. Marcy lives 1.15 miles away from her grandmother. What fraction represents the distance between Marcy’s house and her grandmother’s?

15. Nineteen of the 20 students in Mr. Gonzalez’s science class are attending the field trip. What decimal best represents the portion of the class that is attending the field trip?

16. A store is marking their prices up 145%. What fraction best represents 145%?

17. A student receives a 95% on their math test. Which of the following values are equivalent to 95%?

I. 9.5 II. 0.95 III. 1920

IV. 95100

A. I, III, and IV

B. IV only

C. II and IV

D. II, III, and IV

18. During a bean bag toss, Abby threw the bean bag 2.2 meters. Which of the following values are not equivalent to 2.2?

I. 22% II. 220% III. 212

IV. 94

A. II and III

B. I, III and IV

C. II only

D. II and IV

Page 27: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Name _____________________________________Date ______________________________Pd______

Unit: PercentsHomework 3

©Maneuvering the Middle LLC, 2017

Complete the table below to form various representations of equivalent numbers.

Converting fractions, decimals, and percents

Scenario 1 Scenario 2 Scenario 3 Scenario 4

pro

blem

Forty percent of computers sold

today are desktops.

In a sample, 315

of

the computers were defective.

A laptop computer is 1.05 centimeters

thick.

One-eighth of the customers in the

store actually purchase a computer.

fract

ion

deci

mal

perce

nt

mo

del

Describe the process for converting a fraction to a decimal.

_______________________________________________________________________________________

_______________________________________________________________________________________

Page 28: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 29: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Name _____________________________________Date ______________________________Pd______

Unit: PercentsQuiz 1

Answer the questions below. Be sure to show work.

1. A fruit juice box contains 6% juice. How is this percent written as a decimal?

2. The students in PE have spent 1720

of their class period playing basketball.

What decimal is equivalent to 1720

?

3. The model at the right best represents what percent?

4. Which set of numbers is equivalent to 75%?

A. 0.75, 35

B. 7.5, 75100

C.34

, 0.075 D. 1520

, 0.75

5. The model at the right represents the percent of people with blue eyes at a city event. What decimal best represents the percent of people who do not have blue eyes?

©Maneuvering the Middle LLC, 2017

Answers

1. ______________

2. ______________

3. ______________

4. ______________

5. ______________

6. ______________

7. ______________

8. ______________

9. ______________

10. _____________

QUIZ: EQUIVALENT FORMS OF NUMBERS

Page 30: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

6. Three students wrote equations on their dry erase boards.

Which of these students wrote an equation that is true?

A. Student 1 and Student 3 B. Student 2 and Student 3

C. Student 2 D. Student 3

7. Which of the following points on the number

line best represents 14

?

A. Point AB. Point BC. Point CD. Point D

8. What percent best represents the shadedportion below?

9. Eleven of the 25 people on the bus get off at the first stop. What percent best represents the portion of the bus that got off on the first stop?

10. A student receives a 65% on their math test. Which of the following values are equivalent to 65%?

I. 0.065 II. 0.65 III. 1320

IV. 65100

A. I, III, and IV

B. IV only

C. II, III, and IV

D. II and IV

©Maneuvering the Middle LLC, 2017

Answer the questions below. Be sure to show work and justify your thinking.

0 1

A BC D

14

= 20%710

= 0.70%1320

= 65%

STUDENT 1 STUDENT 2 STUDENT 3

Page 31: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

At Paulson Middle School, 75% of the sixth grade class is making a B or higher. If there are 24 students in the sixth grade class, then how many are making a B or higher?

1. The campus demographics state that 40% of the students are male. If there are 300 students, how many are male?

2. In Janet’s neighborhood, 65% of the households have a landline phone. If there are 80 households in the neighborhood, how many have a landline phone?

Name _____________________________________Date ______________________________Pd______

Unit: PercentsStudent Handout 4

©Maneuvering the Middle LLC, 2017

v

Finding the percent of a number can be helpful in _____________________life.

What do we know? What do we need to know?

Are we looking for the part or the whole?

What does the strip diagram look like?

Does my solution answer the question?

Set up a strip diagram for each of the word problems below. Do not solve.

vv

Percent application: Finding the part

Page 32: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

3. There are 80 local little league teams. Thirty percent of them have players under the age of 7. How many teams have players under the age of 7?

4. In Seattle, WA, it is said to rain 66% of the time. Since there are 365 days in a year, approximately how many days is it expected to rain?

5. Stephen Curry plays for the Golden Gate Warriors and touts a 90% free throw shooting record. If he shot 12 free throws in a game, approximately how many did he miss?

6. At the post office, 45% of packages ship as priority mail. If 160 packages are shipped today, how many will not go as priority mail?

©Maneuvering the Middle LLC, 2017

Label the strip diagram below. Then, set up a percent proportion.

The campus demographics state that 42% of the students are male. If there are 300 students, how many are male?

Setting up a _____________________can be helpful when the problems are more

complicated. A proportion is simply two ____________________________.

v

=%

100

part

whole

Summarize today’s lesson:

Page 33: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Name _____________________________________Date ______________________________Pd______

Unit: PercentsHomework 4

©Maneuvering the Middle LLC, 2017

Set up a proportion or percent bar to solve each of the problems below.

1. At a local amusement park, 70% of the rides are made for kids who are 48 inches and taller. If there are 80 rides in total, how many are made for kids who are 48 inches and taller?

2. On an average Saturday, 15% of tickets sold are child tickets. If there were 460 tickets sold on Saturday, how many were sold to children?

3. The amusement park also has water rides. Thirty percent of the 80 rides are water related. How many water related rides does the park have?

4. Of the 460 visitors on Saturday, 54% of them stayed until the park closed. About how many visitors stayed until the park closed?

5. A guest survey showed that 325 people ordered food while in the park. Ninety-two percent were satisfied with their food order. How many people were dissatisfied with their order?

6. There are 20 different places to get food. Twenty percent of them are ice cream shops. How many ice cream shops are in the park?

7. The amusement park has 400 employees.Seventy-two percent of them are part time employees. How many employees work full-time?

8. Of the 400 employees, 5% of them are park managers. How many managers does the park employee?

Percent application: Finding the part

Page 34: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,
Page 35: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

The sixth grade class held an end-of-the-year talent show. Of the 300 sixth graders, 246 decided to attend. What percent of the sixth grade class attended the talent show?

What do we know? What do we need to know?

Are we looking for the part or the whole?

What does the strip diagram look like?

Does my solution answer the question?

Name _____________________________________Date ______________________________Pd______

Unit: Rates and PercentsStudent Handout 5

©Maneuvering the Middle LLC, 2017

v

Sometimes we are given information and have to determine the ________________.

Set up a strip diagram for each of the word problems below. Do not solve.

1. In Mrs. Stone’s class, 18 out of 22 students turned in their homework on time. What percent of the class turned their homework in on time?

2. Angelica took a spelling test and got 14 out of 15 problems correct. What percent of problems did she get correct?

vv

Percent application: Finding the percent

Page 36: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

3. A farmer decides to sell 16 pounds of his small 48-pound potato crop. What percent of the crop did he sell?

4. For every $10 Glen earns, his parents require him to save $2. What percent of his money does he get to spend?

5. Coach Thomas has a player who made 9 free throw shots out of 15 in tryouts. To make the team, a player must be able to shoot 65% of the free throws. Will this player make the team?

6. A kindergarten class has 9 girls and 11 boys in the class. What percent of the class are girls?

7. Joey has 8 pairs of socks in his drawer. Five of them are white. What percent of colored socks does Joey have?

8. It rained seven days during the month of April. About what percent of the month did it rain?

©Maneuvering the Middle LLC, 2017

Carefully read the problems below. Set up a percent bar or percent proportion to solve.

Summarize today’s lesson:

=%

100

part

whole

Page 37: THANK YOU FOR YOUR PURCHASE! - Maneuvering the Middle · 2018. 2. 6. · concrete models, fractions, and decimals. 6.4F Represent benchmark fractions and percentssuch as 1%, 10%,

Name _____________________________________Date ______________________________Pd______

Unit: PercentsHomework 5

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Set up a proportion or percent bar to solve each of the problems below. Questions 1 - 4 are related and use some of the same information.

1. In the computer lab, there are 14 Apple computers and 16 PC computers. Approximately what percent of the computers are PCs?

2. Three of the thirty computers are out of service. What percent of the computers are working?

3. Seven of the Apple computers have specialized movie editing software. Approximately what percent of the Apple computers can be used for editing movies?

4. The computer lab is removing the 3 broken computers and adding 13 wireless touchscreen devices. About what percent of the lab are wireless devices?

5. Mr. Wells tells his class of 24 that whenthey have completed the assignment, they may play online math games. At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment?

6. A company announces that it will be giving 15% of its profits to charity. If the company profits $32,000, how much money will it give to charity?

7. A mom mixes 9 ounces of juice with 3 ounces of water. What percent of the drink is juice?

8. Jennifer uses a coupon that gives you 20% off your order. If the total was $18, how much money did she save?

Percent application: Finding the percent

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At Paulson Middle School, 75% of the sixth grade class is making a B or higher. If there are 21 students making a B or higher, then how many students are in the class?

What do we know? What do we need to know?

Are we looking for the part or the whole?

What does the strip diagram look like?

Does my solution answer the question?

Name _____________________________________Date ______________________________Pd______

Unit: PercentsStudent Handout 6

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v

Finding the percent of a number can be helpful in _____________________life.

Set up a strip diagram for each of the word problems below. Do not solve.

1. The campus demographics include 480 female students. This represents 64% of the student body. How many students are enrolled?

2. A twenty percent off sale is going on, making a pair of jeans $9.60 cheaper. What was the full price of the jeans?

vv

Percent application: Finding the whole

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Play tic-tac-toe with your neighbor. X’s __________________ O’s _______________

Don’t forget to read carefully and set up a percent proportion or percent bar.

Summarize today’s lesson:

Tricia made a 56% on her science test. If she got 14 problems correct, how many questions were on the test?

Donnie completed 85% of his field goal attempts last season. If he attempted 60 field goals, how many did he make?

Seventy-five percent of the apple pies were sold on Tuesday, and the remainder were thrown out. If 12 apples pies were sold Tuesday, then how many were thrown out?

A scarf is made of 65% cotton. If the scarf weighs 18 ounces, then how much cotton is in the scarf?

A concert venue sells 16% of its tickets as reserved seats. An upcoming concert sells 8,000 tickets. How many tickets are reserved?

Out of 350 students, 315 went on the class field trip. What percent of the students did not go on the class field trip?

A baseball hat is on sale for 15% off, which is $2.70. How much does the baseball hat cost at full price?

The school book fair has 72non-fiction books and 328 fiction books for sale. What percent of the book fair is non-fiction books?

Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer job earnings. If he gives away $256, how much did he earn this summer?

=%

100

part

whole

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Name _____________________________________Date ______________________________Pd______

Unit: PercentsHomework 6

Match each correct answer to a letter and complete the riddle below.

______________________________

1A toy manufacturer estimates that 6% of its products are defective. If it produces 550 toys in one day, then how many will be defective?

2Fourteen percent of the town’s population are above the age of 65. If there are about 320 residents over the age of 65, then what is the town’s population?

3The LA Dodgers hit the most home runs in 2014. The number of home runs accounted for 6% of the entire Major League Baseball home run count. If 583 total home runs were hit, then approximately how many did the LA Dodgers hit?

4Two of the dozen eggs in a carton are cracked. About what percent of the carton is not

cracked?

5Mr. Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, then how much is his overall budget?

6Eddie is reading a novel for English class. He has read 173 out of 480 pages. About what percent of the book has Eddie read?

7A nutrition label states that there are 36g of carbohydrates in each serving. This accounts for 12% of a daily value. How many grams of carbohydrates are recommended per day?

8About 56% of the 2,553 students are enrolled in at least one honors class. How many students are enrolled in an honors class?

what do you call a destroyed angle?

T: 33 O: 25 C: 36 J: 4 M: 517

K: 64 Q: 45 L: 2,286 A: 35 P: 4,559

H: 128 G: 83.3 I: 800 E: 300 R: 5,000

V: 45 N: 1,430 S: 80 D: 1,129 B: 16.6

3 75 6 1 3 8 4 2 7

Percent application: Finding the whole

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Name _____________________________________Date ______________________________Pd______

Unit: PercentsReview

percents unit Study guideSolve each of the problems below. These represent the types of questions on your test. Be sure to ask questions if you need more help with a topic.

I can represent ratios and percents with models, fractions, and decimals. 6.4E

1. What percent of the squares in the model below are not shaded?

2. The diagram of a living room is shown below. What fraction of the living room is covered by the rug?

3. About 29% of the world’s surface is covered by land. Shade the model below to represent the percent covered by water.

4. Using the 10 by 10 grid below, determine the decimal representation for the shaded portion.

I can show equal parts of a whole. 6.5C

5. The model below shows how much pizza is remaining. Circle all of the following numbers that do not represent the amount of pizza that is remaining.

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A. 412

B. 14

C. 40%

D. 0.3!

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I can generate equivalent forms of numbers. 6.4G

6. Eleven of the 20 students in Mr. Gonzalez’s science class are attending the field trip. What percent best represents the portion of the class that is attending the field trip?

7. Marvin has $1.45 in his pocket. What fraction is equivalent to the amount of money in Marvin’s pocket?

8. A stick measures 2310

meters long. Write

both the decimal and percent equivalent to the length of the stick.

9. A store is implementing a 5% increase on all of their prices. Write both the decimal and the fraction equivalent to the increase.

I can represent benchmark fractions and percents with models. 6.4F

10. Determine the fraction that best represents each point on the number line below.

A _______ B _______ C _______ D _______

11. If the strip diagram below represents 100%, then determine the value of the other representations.

A. B.

C. D.

12. Complete the missing values by writing the equivalent percent.

13. Complete the missing values by writing the equivalent percent.

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0 1

A B C D

0 113

23

0 1310

110

510

710

910

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I can generate equivalent forms of numbers. 6.4G

14. Complete the table below.

I can solve real world percent problems. 6.5B

15. During rush hour, Geoffrey counted that he had to stop at 8 different red lights. He went through a total of 25 intersections. What percent of intersections did he stop at?

16. In a home run derby competition, there were 32 home runs hit out of 124 hits. Approximately what percent of hits were home runs?

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fraction percent decimal

60%

3

4

0.23

1

8

18%

2

3

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I can solve real world percent problems. 6.5B

17. On a random Friday in the spring, 88% of students are present at school. If there are 528 students present, then how many total students are enrolled?

18. Mr. Torres tells his class of 24 that whenthey have completed the assignment, they may read. At the end of class 40% of the class is reading. About how many students still need to complete their assignment?

19. The Richardson family is out to dinner at their favorite restaurant. The bill comes to $32.00. How much money should they leave for the bill and a 20% tip?

20. Neal decides to sell his concert tickets to a sold-out show. He paid $90 for the pair, but he believes he can sell them for 150% of what he paid. For how much does Neal think he can sell them?

21. At the end of the winter, coats are on sale for 75% off.

a. If a heavy coat was priced at $160, then how much money will you save since it is on sale?

b. How much will the coat ring up for at the register if the tax is 6%?

I’ve got it!What concepts can I ace on the test?

Help!What concepts do I need to study?

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1. On a math facts test, Paul got 18

of the

questions incorrect. Which of the following sets best represents the questions Paul got incorrect?

A. 416

, 12.5% B.632

, 125%

C.216

, 125% D. 432

, 12.5%

2. Mrs. Lynch has noted that 7 out of every 10 pieces of mail she gets are junk mail. What percent of her mail is junk?

_____________

3. A random survey of the quality of city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 182 people were pleased, then how many were surveyed?

_____________

4. The model below shows how much pizza is remaining. Which of the following numbers does not represent the amount of pizza that is remaining?

5. Cristina picked out a new tennis racket that was priced at $35.00. She has saved $40.00 to cover the tax. If there is an 8% tax, then how much will she pay for the tennis racket and the tax?

A. $37.20B. $2.80C. $37.80D. $5.00

6. If the entire strip diagram below represents100%, then which value does not represent the strip diagram below?

A. 56

B. 0.8

C. 83.3!% D. 1518

7. Which of the following points on the

number line best represents 23?

_____________

8. The model represents the percentage of family households in the 2012 census. What percent of households were not

considered families?

A. 75% B. 65%C. 15% D. 35%

Name _____________________________________Date ______________________________Pd______

Unit: PercentsTest

Solve the problems below. Be sure to show your thinking.

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percents unit TEST

A. 412

B. 13

C. 30% D. 0.3!

0 1

A B C D

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9. Pedro has $2.80 in his pocket. What fraction is equivalent to the amount of money in Pedro’s pocket?

_____________

10. Vision Source has a pair of glasses that are 20% more than the same pair of glasses at ABC Eye. If the glasses are $85 at ABC Eye, then how much more will you pay at Vision Source?

A. $102.00B. $17.00C. $105.00D. $65.00

11. The Eastside High School marching band is made up of the instrument players and the percussion. If there are 245 members who play instruments and 35 percussion members, then what percent of the marching band is percussion?

A. 35%B. 12.5%C. 14%D. 30%

12. Maggie is participating in her school reading challenge. She reads 40 books in 6 months. If 26 of the books are fiction, then what percent of the books that she read are fiction?

A. 23%B. 6%C. 65%D. 35%

13. If 4% of packages get lost in the mail, then which decimal best represents the amount of packages lost in the mail?

A. 0.04 B. 0.40

C. 4.0 D. 40.0

14. A teacher’s cabinet has 56 black dry erase markers and 14 red dry erase markers. Which proportion can be used to determine p, the percent of dry erase markers that are red?

A. p

100=

1456

B. 7014

=100p

C. p14

=56100

D. 7056

=p

100

15. On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled?

_____________

16. The diagram of a living room is shownbelow. What fraction of the living room iscovered by the rug?

_____________

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Name _____________________________________Date ______________________________Pd______

Unit: PercentsMini Quiz A

Mini Quiz

fraction Decimal percent

3

4

3

8

2

3

50%

80%

0.33

7

10

25%

0.6

1

5

0.1

Name _____________________________________Date ______________________________Pd______

Unit: PercentsMini Quiz A

Mini Quiz

fraction Decimal percent

3

4

3

8

2

3

50%

80%

0.33

7

10

25%

0.6

1

5

0.1

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Name _____________________________________Date ______________________________Pd______

Unit: PercentsMini Quiz B

fraction Decimal percent

13

20

7

8

2

3

64%

85%

0.33

13

25

25%

0.35

1

20

0.01

Name _____________________________________Date ______________________________Pd______

Unit: PercentsMini Quiz B

fraction Decimal percent

13

20

7

8

2

3

64%

85%

0.33

13

25

25%

0.35

1

20

0.01

Mini Quiz Mini Quiz

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