21 st Century Lessons

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

2. 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 Agenda

3. Launch 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! Agenda

4. 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

5. Launch Continued Please check your answers! Agenda

6. 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. • 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 Agenda

7. Explore • 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. 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. We use for each when we only have 1 thing being compared, like 1 beak! Agenda

8. 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 simplify the ratio? Let’s add a new step! Yes! 20 to 8 and 5 to 2 equivalent fractions or equal fractions! Are the ratios 20 to 8 the same as 5 to 2? Agenda

9. 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

10. 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

11. 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

12. Practice Agenda

13. Practice - Answers Agenda

14. 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

15. Assessment • For #1 and #2, fill in the blanks: • 1) We can write ratios as sentences using the phrase, • _______ _________ . • A human being has ____ fingers for every _____ nose. • 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

16. 21st Century Lessons