math-g6-m1-topic-a-lesson-3-student.docx

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Lesson 3 6•1NYS COMMON CORE MATHEMATICS CURRICULUM

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S.Lesson 3: !uivalent /atios

Lesson 3: Equivaen! Ra!ios

Cass"o#$

E%e#&ise 1

rite a one-sentence stor$ problem about a ratio.

rite the ratio in two di1erent orms.

E%e#&ise '

Shanni and "el are usin* ribbon to decorate a pro2ect in their art class. The ratio o the len*th o

Shannis ribbon to the len*th o "els ribbon is 7 :3 .

4raw a tape dia*ram to represent this ratio.

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This work is licensed under aCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported Licens This work is derived rom !ureka "ath # and licensed b$ %reat "inds. &'0() %reat"inds. eureka-math.or* This +le derived rom %,-"(-T!-(.3.0-0.'0()

S.Lesson 3: !uivalent /atios

E%e#&ise 3

"ason and Lane$ ran laps to train or the lon*-distance runnin* team. The ratio o the number o

laps "ason ran to the number o laps Lane$ ran was 2 to 3 .

a. 5 "ason ran 4 miles6 how ar did Lane$ run7 4raw a tape dia*ram to demonstrate

how $ou ound the answer.

b. 5 Lane$ ran 930 meters6 how ar did "ason run7 4raw a tape dia*ram to determine

how $ou ound the answer.

c. hat ratios can we sa$ are euivalent to 2:3 7

E%e#&ise )



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S.1Lesson 3: !uivalent /atios

8osie took a lon* multiple-choice6 end-o-$ear vocabular$ test. The ratio o the number o

problems 8osie *ot incorrect to the number o problems she *ot correct is 2: 9 .

a 5 8osie missed 8 uestions6 how man$ did she *et correct7 4raw a tape dia*ram to

demonstrate how $ou ound the answer.

d. 5 8osie missed 20 uestions6 how man$ did she *et correct7 4raw a tape dia*ram to

demonstrate how $ou ound the answer.

e. hat ratios can we sa$ are euivalent to 2: 9 7

. Come up with another possible ratio o the number 8osie *ot incorrect to the number she

*ot correct.



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*. 9ow did $ou +nd the numbers7

h. 4escribe how to create euivalent ratios.



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+#o,e- Se!

( rite two ratios that are euivalent to 1:1 .

'. rite two ratios that are euivalent to3:11

.

3.

a. The ratio o the width o the rectan*le to the hei*ht o the rectan*le is to .

b. 5 each suare in the *rid has a side len*th o 8mm 6 what is the width and hei*ht o

the rectan*le7

:. ;or a pro2ect in their health class6 8asmine and


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e. Are the two ratios $ou determined euivalent7 !>plain wh$ or wh$ not.

math-g6-m1-topic-a-lesson-3-student.docx

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