Primary Lesson Designer(s): 21st Century Lessons Ratios and Vocabulary Primary Lesson Designer(s): Stephanie Conklin

Warm Up Write a ratio in three ways comparing # of ducks to # of pigs. 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. (3-5 min) Time passed In-Class Notes Teachers can use the scaffold button to help students remember the 3 ways to write a ratio. Teachers should give students 1 minute or more to try to write the 3 ways without using the scaffold button. Students may want to leave the answer as 4 to 2, please encourage them to write their fractions in simplest forms. Further, the sentence strip will act as a review and introduction to the work that will be done in this lesson on ratio and vocabulary. Preparation Notes None Scaffold Agenda

Agenda: 1) Warm Up (Independent) 2) Launch OBJECTIVE: Students will use ratio language to describe a relationship between two quantities. 1) Warm Up (Independent) 2) Launch If the World Was a Village Video (Independent) Follow-up Questions (Partner Work) 3) Explore Mini Lesson (Whole Class and Partner Work) -Challenge (Partner Work) (Time on this slide - min) Time passed In-Class Notes Preparation Notes 4) Practice – (Partner Work, Whole Class) 5) Summary – (Whole Class) 6) Assessment – (Independent)

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! (4-5 mins) Time passed In-Class Notes Teachers should give students a chance to talk about their own language and nationality with their partner for 2-3 minutes and then share with the whole class. This turn and talk will help students to access information in video and also help students to make connections between their own lives. Teachers can ask students to share their information with class or take a survey of different languages spoken. Preparation Notes Agenda

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. (7-10 mins) Time passed In-Class Notes Link for “If the World Were a Village Video”  http://www.teachertube.com/viewVideo.php?title=If_the_World_Were_a_Village&video_id=44240 (3 minutes long) Teachers should load video before class, as there is a commerical at the start. Also, teachers should consider using a small screen view as the teachertube can become blurry when projected. This video is a chance for students to engage in cross-curricular learning while also hearing the language of ratios introduced. Students should watch the video and fill our sheets independently. For classes with ELL and SPED students, we strongly recommend that teachers play this video once with students just listening and a second time with students answering questions. Teachers may want to pre-read questions. Teachers may also want to consider editing sheet to only include odds. Preparation Notes Each student will need a copy of the class work hand out for this lesson (scaffolded notes) Teacher will also need a projector and speakers. Agenda

Launch Continued Please check your answers! Agenda (2 min) Time passed In-Class Notes Teachers can review answers with students quickly to ensure that they have correct answers. Please note that question #19 will be reviewed in the next slide as it will launch our exploration of vocab. relating to ratios. - Teachers may want to poll students to ask them follow-up questions like, why is this video important? How can we use math to help us understand the world? Preparation Notes Agenda

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 (2 min) Time passed In-Class Notes This slide serves as a connection between our video and the mini lesson. Teachers should make a big deal about the term for every as this key phrase will be the focus of our lesson. This term will later help students to make connections to important terms like slope and rate of change. Preparation Notes Agenda

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 (3 min) Time passed In-Class Notes This will be a teacher-led example that will allow students to see that we can replace or substitute a colon or any other ratio symbol with the phrase “for every”. Teachers can also emphasis the importance of using the letter “s” or not depending on whether words are plural or not. Preparation Notes Scaffolded Notes 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

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. (3 min) Time passed In-Class Notes The goal of this slide is to help reinforce writing ratio sentences and to review that we should first simplify all ratios, and also teach students that for every can start at beginning of sentence. Preparation Notes Scaffolded Notes 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

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. (5 min) Time passed In-Class Notes Teachers should read the problem and question with students and then give them 2 minutes to try to write a sentence with their ratio. After 1 minute, teachers may want to click to bring in steps to remind students. Once students have a chance to write a ratio sentence, teachers can ask for students to read their sentences and also to explain the steps. Teachers should make sure to review both ways of writing with for every in between and for every at the beginning. Teachers should remind students that both ways are perfectly acceptable, we just want them to recognize how to use both. Also the push pins are grouped together and teacher can move these to rest on top of each poster if it helps students. Preparation Notes Scaffolded Notes Agenda

Challenge – Try with a Partner (ex 4) Brian also wants to decorate his room. He has 6 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! (5 min) Time passed In-Class Notes Teachers should read the problem and question with students and then give them 2-3 minutes to try to answer questions. It would be best to have a student come up to the board and show their answer and then the whole class can participate in discussion. The goal of this challenge question is to get students to think about proportional reasoning. Preparation Notes Scaffolded Notes Agenda

Challenge – Try with a Partner (ex 4) Brian also wants to decorate his room. He has 6 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. (2 min) Time passed In-Class Notes Teachers can use this slide if students do not have a great diagram or need help with answering question. Teachers should review how we mathematically can solve this problem using the fancy algebra way. Preparation Notes Scaffolded Notes Fancy Algebra Way: Agenda

Practice You have 5 minutes to work with your partners on this class work, good luck! (5-7 min) Time passed In-Class Notes Teachers should give students 5-7 minutes to work on this class work. Students who are ELL or SPED may need more time but by working in small groups, they can hopefully try each part. Preparation Notes Copies of class work Agenda

Practice - Answers Agenda (5 min) Time passed In-Class Notes Teachers should review answers with students and discuss any questions that they may have about the class work. Teachers should ensure that students simplify all ratios and also use labels. Preparation Notes Agenda

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! (3 min) Time passed In-Class Notes This slide helps to review the key vocab terms used in this lesson and also allows for students to see how possible mistakes can affect meaning. Teachers can also scaffold this question by drawing a cat with 2 tails and 1 ear to visually represent what Calvin said. Preparation Notes Agenda

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. (3 min) Time passed In-Class Notes Teachers should use calling sticks to have students fill the blanks independently and write a sentence. There is a scaffold step for students for question #3 which may help students to determine which values to use when writing a sentence. Preparation Notes Scaffolded Notes Agenda