ratios, unit rates, proportions, and conversion task cards · 2018-02-27 · task card #91 task...

Ratios, Unit Rates, Proportions, and

Conversion Task CardsG Ideal for Grades 6-7G Perfect for partner or group

collaborative work!

By Kendra Passarelli

A Note for the Teacher…Thank you so much for the download! I appreciate your business and hope

your students enjoy this activity. I look forward to your feedback!!

Here’s how I use task cards in my classroom:

I photocopy a class set of task cards. I have students work in pairs and give one set to each pair of students. I usually copy about 18 sets, then cut apart each set and place in a baggie. Task cards may be laminated for durability. I

photocopy the task card mat (pages 14 to 16) double sided. I make a copy of the mat for each student because I want each student to show work. Please note: I only give 12 task cards at a time (for example #1-12 during one class period and #13-24 another). As students are working, I walk around with the answer key to

check solutions and assist where necessary. My rule for working in pairs is that both students have to be on the same problem at the same time and AGREE upon a solution before moving on. This way, the faster-working students are

not 10 problems ahead if they are working with a slower-moving student.

Feel free to email me with questions, suggestions, or requests: [email protected]

© Kendra Passarelli ThisLittleLadybug.Blogspot.com

Denise can type 13 words in 4 minutes. Nancy can

type 27 words in 12 minutes. Who types

faster?

Task Card #1

On winter break, Cynthia sees 36 snowboarders and 14 skiers. Write the

number of skiers to snowboarders as a ratio

in all three forms.

Task Card #2

Task Card #3 Task Card #4

Rachel wants to purchase pencils for school. Supplies-n-More sells 12 pencils for $4. Supply Central sells 7 pencils

for $2.50. Which supply store offers the better buy?

Nick has 18 baseball trophies, Kevin has 24 baseball trophies,

and Daniel has 10 baseball trophies.

Write the number of Nick’s trophies to all trophies as a

ratio in all three forms.

Task Card #5

Are the ratios proportional?

Task Card #6


Solve the proportion. Give two equivalent ratios to

Write the number of Kevin’s trophies to Nick’s and Daniel’s trophies as a

ratio in all three forms.

Nick has 18 baseball trophies, Kevin has 24 baseball trophies, and Daniel

has 10 baseball trophies.

!"

and#$%

#"%= $'

(75100

Task Card #9

Convert the measure.

Task Card #10

Task Card #1 1 Task Card #12

Solve the proportion.

24 pints to quarts


14 feet to inches


-'%= .

!'/-0= $"

'0

Task Card #13

Taylor can read 18 pages in 5 minutes.

How many pages can Taylor read per

minute?

Task Card #14


Write two ratios equivalent to

7 miles to feet



𝟕𝟏𝟔

$4.!6= !.!

4

Task Card #17

Sam has 15 pennies, 12 dimes, and 8 quarters. Sam wrote the ratio

of quarters to all coins below.

A. What is Sam’s Mistake?B. What is the correct ratio?

Task Card #18


A student was asked to convert 108 feet to inches. She set up the

problem as follows.

A. What is the student’s mistake? B. What is the correct answer?

Cynthia says you can solve a proportion by multiplying

straight across.

A. Is Cynthia Correct? B. Prove your thinking.

David is having a hard time understanding why the two

ratios below are proportional. Explain to David how they are

proportional.𝟒𝟓=𝟐𝟒𝟑𝟎

𝟏𝟏𝟐𝐢𝐧𝐜𝐡𝐞𝐬

=𝒙

𝟏𝟎𝟖𝐟𝐞𝐞𝐭𝐐𝐮𝐚𝐫𝐭𝐞𝐫𝐬𝐀𝐥𝐥𝐂𝐨𝐢𝐧𝐬

=𝟖𝟐𝟕



The ratio of Erin’s tokens to Mary’s tokens is 2:5. If

Mary has 40 tokens, how many tokens do they have

altogether?

1 out of every 7 children attending basketball

practice is a girl. There are 49 boys. What is the total number of children

attending basketball practice?

In a recipe, 3 teaspoons of sugar are needed to make

5 cookies. How many teaspoons would be needed to make 100

cookies?


1 12 ounces to pounds

Task CardsTask Card #1 Task Card #2 Task Card #3

Task Card #4 Task Card #5 Task Card #6

Name: ________________________Date: _____________ Period: _____

Denise types 3.25 words per minute. Nancy types 2.25

words per minute. Nancy types faster.

skierssnowboarders

=1436

718; 7:18; 7to18

Supplies-n-More:$

bcdefg= %

$'= $0.33 per pencil

Supply Central:$

bcdefg= '.!0

#= $0.36 per pencil

Supplies-n-More offers the better buy.

NickjsTrophiesAllTrophies

=1852

926; 9:26; 9to26

KevinjsTrophiesNick + Danielj sTrophies =

2428

67; 6: 7; 6to7

Not proportional

58 ≠

714

Answer Key



Answer Key

𝑤 = 144 75100 =

34 =

912

Answers will varyPossible solutions…

168 inches 𝑑 = 6 $'

or 6.5 𝑢 = 27

12 quarts



Answer Key

Taylor can read 3.6 pages per minute.

Answers will varyPossible solutions…

716 =

1432 =

2148

𝑦 = 18

A. Sam made the mistake of not including the number of quarters in the total with all coins.

B. The correct ratio is𝐐𝐮𝐚𝐫𝐭𝐞𝐫𝐬𝐀𝐥𝐥𝐂𝐨𝐢𝐧𝐬

=𝟖𝟑𝟓

36,960 feet

A. The student incorrectly set up the problem. She should have set it up as

𝐅𝐞𝐞𝐭𝐈𝐧𝐜𝐡𝐞𝐬

=𝟏𝟏𝟐

=𝟏𝟎𝟖𝒙

B. The correct answer is 1,296 inches.



Answer Key

Explanations will vary.

Possible response:

'%-0

simplifies to %!, so the

two ratios are proportional.

ErinMary =

25 =

𝑥40

A. Cynthia is incorrect because a proportion is solved by using cross product, not by multiplying straight across.

B. Answers will vary. When

solving the proportion '-= %

�. The

correct way is to multiply 2 by 𝑥and 4 by 3. The correct solution is 𝑥 = 6.

𝐓𝐬𝐩. 𝐒𝐮𝐠𝐚𝐫𝐂𝐨𝐨𝐤𝐢𝐞𝐬

=𝟑𝟓=

𝒙𝟏𝟎𝟎

𝒙 = 𝟔𝟎𝐭𝐞𝐚𝐬𝐩𝐨𝐨𝐧𝐬𝐨𝐟𝐬𝐮𝐠𝐚𝐫

7 pounds

Erin has 16 tokens.

GirlsTotal =

17 =

49𝑥

There are 343 total attending

practice.



Name: ________________________Date: _____________ Period: _____


Task Card #10 Task Card #1 1 Task Card #12

THANK YOU!!!Fonts:

Kimberly Geswein Fonts (can be downloaded for FREE on TpT)

Backgrounds:Erin Bradley Designs (can be found on Etsy)

Print Candee

Frames:Ink-n-Things (free on TpT)

Scrappin Cop

By Kendra Passarelli

Again, thank you and I appreciate your feedback J

Personal/Classroom Use OnlyDo Not Redistribute

No Sharing of this Product through Internet Groups/Blogs, Offline Groups, School District Websites/Servers, School

Websites/Servers, or Personal Websites

ratios, unit rates, proportions, and conversion task cards · 2018-02-27 · task card #91 task...

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