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 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 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 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

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 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 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 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 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 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 - Answers Agenda 20

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 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