Ratios and VocabularyLesson 2

1

Warm Up

Write a ratio in three ways comparing # of ducks to # of pigs. Remember to simplify your answer!

2 ducks to 1 pig

2 ducks : 1 pig

Fill in the blank.For every 2 ducks, there is____ pig.

OBJECTIVE: Students will use ratio language to describe a relationship between two quantities.

Agenda

2

Scaffold

Warm Up

Write a ratio in three ways comparing # of ducks to # of pigs. Remember to simplify your answer!

2 ducks to 1 pig

2 ducks : 1 pig

Fill in the blank.For every 2 ducks, there is____ pig.

OBJECTIVE: Students will use ratio language to describe a relationship between two quantities.

Agenda

3

1) a fraction1) a fraction

2) the word, “to”

2) the word, “to”

3) a colon :3) a colon :

Scaffold

Agenda:OBJECTIVE: Students will use ratio language to describe a relationship between two quantities.

1) Warm Up (Independent)

2) Launch

-Challenge (Partner Work)

5) Summary – (Whole Class)

4) Practice – (Partner Work, Whole Class)

6) Assessment – (Independent)

4

-If the World Was a Village Video (Independent)-Follow-up Questions (Partner Work)

3) Explore -Mini Lesson (Whole Class and Partner Work)

Launch

Agenda

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We will practice writing ratios by watching a video on the world.

Turn and Talk:What country were you born in?What languages do you speak?

Be ready to share with class!

Launch

Agenda

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We will practice writing ratios by watching a video on the world. This video pretends that there is a village of 100 people who equally represent every country and language in the world. Watch the “If the World Were a Village Video” and answer questions #1-14.

Launch Continued Please check your answers!

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Agenda

Mini Lesson

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Agenda

Let’s answer this question together: How can we write a ratio using words?

(ex ) For every 100 people in the village, there are 61 people from China.

SUPER important term for writing ratios “For every” can be used to replace the

fraction bar, colon : or word “to” in a ratio “For each” can also be used to replace the

fraction bar, colon : or word “to” in a ratio

Explore

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Agenda

For every and for each can be used to replace the fraction bar, colon : or word “to” in a ratio

(ex 1) Write a ratio in words comparing beaks to wings for an eagle. Step 1: Write a ratio of beaks to wings

1 beak: 2 wings

Step 2: Write this ratio in wordsAn eagle has

Why does beak not have

a letter s at the end?

Why does beak not have

a letter s at the end?

There is only 1 beak so we do not need to make the word plural.

There is only 1 beak so we do not need to make the word plural.

We can also say, An eagle has 2 wings for each beak. We use for

each when we only have 1 thing being

compared, like 1 beak!

We use for each when

we only have 1 thing being

compared, like 1 beak!

Explore

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Agenda

We can also start sentences with for every, let’s try!(ex 2) In a class election, Juan received 20 votes and Kevin received 8 votes. Write a ratio in words comparing Juan and Kevin’s votes.

Step 1: Write a ratio of Juan’s votes to Kevin’s votes 20 Juan’s votes to 8 Kevin’s votes

Step 2: Simplify the ratio 5 Juan’s votes to 2 Kevin’s votes

Step 3: Write this ratio in wordsFor every, 5 votes that Juan received Kevin received 2 votes.

Did you simplify the

ratio?Let’s add a new step!

Did you simplify the

ratio?Let’s add a new step!

Are the ratios 20 to 8 the

same as 5 to 2?

Are the ratios 20 to 8 the

same as 5 to 2?

Yes! 20 to 8 and 5 to 2 equivalent fractions or

equal fractions!

Yes! 20 to 8 and 5 to 2 equivalent fractions or

equal fractions!

Explore – Try with a Partner

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Agenda

(ex 3) Kaylee buys 2 posters that are the same size. She wants to hang up each poster using the following push pins. Write a sentence using for each to answer the question.How many push pins should she use for each poster?Step 1: Write a ratio of push pins to posters8 push pins : 2 postersStep 2: Simplify the ratio4 push pins : 1 posterStep 3: Write this ratio in words Kaylee needs 4 push pins for each poster. For each, poster, Kaylee needs 4 push pins.

Challenge – Try with a Partner

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Agenda

(ex 4) Brian also wants to decorate his room. He has 6posters that need the same ratio of push pins as Kaylee’s Posters. How many push pins does Brian need to hang up his posters? - Draw a picture and explain your steps!

Challenge – Try with a Partner

13

Agenda

(ex 4) Brian also wants to decorate his room. He has 6posters that need the same ratio of push pins as Kaylee’s Posters. How many push pins does Brian need to hang up his posters? - Draw a picture and explain your steps!

Explanation: Since we have 4 posters and each poster needs 4 push pins, we know that Brian needs at total of 16 push pins.

Fancy Algebra Way:

Practice

You have 5 minutes to work with your partners on this class work, good luck!

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Agenda

Practice - Answers

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Agenda

SummaryWe can use the phrase, for every, to help us write ratios as sentences!

Turn and Talk:(ex) Calvin told his friend that his cat has 2 tails for every 1 ear. Is he right? Why or why not?

Calvin is wrong. He should have said that his cat has 2 ears for every 1 tail. If Calvin was right then he has a cat with 1 ear and 2 tails, ek!

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Agenda

AssessmentFor #1 and #2, fill in the blanks:1) We can write ratios as sentences using the phrase, _______ _________ .

2)A human being has ____ fingers for every _____ nose.

3)A brownie recipe calls for 3 cups of white sugar, 2 cups of brown sugar and 1 cup of flour. Write a sentence comparing cups of flour to cups of brown sugar. 1 cup of flour: 2 cups of brown sugarA brownie recipe has 1 cup of flour for every 2 cups of brown sugar.

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Agenda