21 st Century Lessons Ratios and Vocabulary 6

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21 st Century Lessons Ratios and Vocabulary 6. RP. 1 1 21 st Century Lessons Ratios and Vocabulary 6. RP. 1 1

Warm Up OBJECTIVE: Students will use ratio language to describe a relationship between two Warm Up OBJECTIVE: Students will use ratio language to describe a relationship between two quantities. 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. Scaffold 7 Agenda

Launch We will practice writing ratios by watching a video on the world. Turn Launch We will practice writing ratios by watching a video on the world. Turn and Talk: à What country were you born in? à What languages do you speak? Be ready to share with class! Agenda 10

Launch We will practice writing ratios by watching a video on the world. This Launch 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. Agenda 11

Launch Continued Please check your answers! Agenda 12 Launch Continued Please check your answers! Agenda 12

Mini Lesson Let’s answer this question together: How can we write a ratio using Mini Lesson 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. à SUPER important term for writing ratios à “For every” can be used to replace the fraction bar, colon : or word “to” in a ratio à “For each” can also be used to replace the fraction bar, colon : or word “to” in a ratio Agenda 13

Explore à For every and for each can be used to replace the fraction Explore à 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 words An eagle has We can also say, An eagle has 2 wings for each beak. 14 We does Whyuse for There is only each when we beak not have 1 beak so we aonly have 1 doletter s at not need thing being the end? to make the compared, word plural. like 1 beak! Agenda

Explore We can also start sentences with for every, let’s try! (ex 2) In Explore 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 words For every, 5 votes that Juan received Kevin received 2 votes. Did you Yes! 20 to 8 Are the ratios simplify the and 5 to 2 20 ratio? to 8 the equivalent same as Let’s add a fractions or 5 to 2? new step! equal fractions! Agenda 15

Explore – Try with a Partner (ex 3) Kaylee buys 2 posters that are Explore – Try with a Partner (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 posters 8 push pins : 2 posters Step 2: Simplify the ratio 4 push pins : 1 poster Step 3: Write this ratio in words Kaylee needs 4 push pins for each poster. For each, poster, Kaylee needs 4 push pins. Agenda 16

Challenge – Try with a Partner (ex 4) Brian also wants to decorate his Challenge – Try with a Partner (ex 4) Brian also wants to decorate his room. He has 4 posters 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! Agenda 17

Challenge – Try with a Partner (ex 4) Brian also wants to decorate his Challenge – Try with a Partner (ex 4) Brian also wants to decorate his room. He has 4 posters 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: Agenda 18

Practice Agenda 19 Practice Agenda 19

Practice - Answers Agenda 20 Practice - Answers Agenda 20

Summary We can use the phrase, for every, to help us write ratios as Summary We 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! Agenda 21

Assessment For #1 and #2, fill in the blanks: 1) We can write ratios Assessment For #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 sugar A brownie recipe has 1 cup of flour for every 2 cups of brown sugar. Agenda 22

21 st Century Lessons 31 21 st Century Lessons 31




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