Introduction to Ratios

Warm Up Write each fraction in simplest form. OBJECTIVE: Students will write real-world quantities as ratios and explain their meaning. Language Objective: Students will define ratio and will be introduced to ratio language. .   Write each fraction in simplest form. (5 min) Time passed In-Class Notes This warm-up will allow teachers to review key math terms like common factors, GCF, equivalent fractions, numerator and denominator. This warm-up serves as a review for simplifying fractions which is a pre-requisite skill for simplifying ratios and rates later in this lesson as well as to find unit rates in future lessons. Preparation Notes It would be helpful to utilize terms like numerator, denominator, factor and GCF when instructing this lesson. 3) Which fraction above has the greatest value? 5/9 is bigger than 3/10 because 5/9 is about 0.55 and 3/10 = 0.3 Agenda

Agenda: 1) Warm Up - Individual 2) Lucky Charms Launch – Whole Class OBJECTIVE: Students will write real-world quantities as ratios and explain their meaning. Language Objective: Students will define ratio and will be introduced to ratio language What does the word quantity mean? 1) Warm Up - Individual 2) Lucky Charms Launch – Whole Class 3) Exploration - Partner Hint: How many ears do I have? 4) Summary - Individual 5) Practice – Small Group 6) Assessment - Individual (2-3 mins) Time passed In-Class Notes Teachers should take one minute to review the agenda for the day’s lesson, and also ask a student to read the objective. Teachers should also ask students to define the word quantity – this can be done as a whole class review. The hint button and final answer button can be displayed once students have a chance to brainstorm answers. Preparation Notes None A quantity is an amount of anything that we can count. Like my ears!

Lucky Charms Launch Turn and Talk: Hint: Have you ever had Lucky Charms cereal? Are there more marshmallows or oat pieces in a box of Lucky Charms? Predict how many marshmallows pieces are 1 box. Predict how many oat pieces are in 1 box. (8-10 min) Time passed In-Class Notes This introduction will hopefully engage and “hook” students into the lesson. Teachers can have students read over each question and then work in pairs to answer each question. Teachers can ask students to write their predictions on the board or can take volunteers to give their answers. This lesson can also be done interactively with real Lucky Charms. Students can be given bowls of Lucky Charms, and can count marshmallows compared with oat pieces. If this is not possible, then students can watch the video to learn the ratio of marshmallows to oat pieces. Preparation Notes Teachers can provide students with structured class notes, please find this with the lesson as well as attached class work. Hint: Agenda

2,500 marshmallows and oats altogether in 1 box. Lucky Charms Launch Turn and Talk: Have you ever had Lucky Charms cereal? Are there more marshmallows or oat pieces in a box of Lucky Charms? Predict how many marshmallows pieces are 1 box. Predict how many oat pieces are in 1 box. Hint: There are almost 2,500 marshmallows and oats altogether in 1 box. (8-10 min) Time passed In-Class Notes This introduction will hopefully engage and “hook” students into the lesson. Teachers can have students read over each question and then work in pairs to answer each question. Teachers can ask students to write their predictions on the board or can take volunteers to give their answers. This lesson can also be done interactively with real Lucky Charms. Students can be given bowls of Lucky Charms, and can count marshmallows compared with oat pieces. If this is not possible, then students can watch the video to learn the ratio of marshmallows to oat pieces. Preparation Notes Teachers can provide students with structured class notes, please find this with the lesson as well as attached class work. Agenda

Lucky Charms Continued  There are 287 marshmallow pieces and 2,583 Oat Pieces in 1 box of Lucky Charms. We can write this real-world situation as a ratio! A ratio is a comparison of two different quantities. We can write a ratio in 3 ways using: 1) a fraction 2) the word, “to” (3 min) Time passed In-Class Notes This part of the lesson will allow students to write down the definition of ratio and the 3 ways in which to represent ratios. Teachers should also reinforce the definition of ratio, and discuss quantity as a term that refers to real-world examples of numbers. Preparation Notes Students will need paper and pencil to write down the definition. 3) a colon : Agenda

Lucky Charms Continued Write the ratio of marshmallows to oats in 3 ways. Remember in 1 box: 287 Marshmallows 2,583 Oats Let’s try together:   1) A Fraction 2) The Word “to 287 Marshmallows to 2,583 Oats (3 min) Time passed In-Class Notes This part of the lesson will allow students to write down the definition of ratio and the 3 ways in which to represent ratios. Teachers should also reinforce the definition of ratio, and discuss quantity as a term that refers to real-world examples of numbers. Preparation Notes Students will need paper and pencil to write down the definition. 3) A Colon 287 Marshmallows : 2,583 Oats Agenda

Practice – Work with a partner! Write a ratio comparing # of people to # of pizzas for each picture. Picture #1 Picture #2 1 person: 4 pizzas 4 people: 1 pizza Talk to your partner How are the ratios above alike? Does the order matter when writing a ratio? (2-3 min) Time passed In-Class Notes This slide will allow students to practice writing ratios. You should encourage students to use all forms of writing with the fraction bar and the word “to” as well. We hope that in this slide, we can reinforce the importance of order in a ratio. In this example, if we switch the order then we change the situation completely. Preparation Notes Teachers can gauge student learning from last slide to determine if students can work on first part of slide (writing a ratio) by themselves or if partner work or whole group is best. Yes! The situation changes if we change the order of pizza & people.! Agenda

Explore lions to birds 6 lions to 1 bird lions : birds (2-3 min) Time passed In-Class Notes Students will reinforce the three way to represent a ratio using the word “to,” a fraction, and a colon symbol. Students should work with a partner or in a small group to discuss. Teachers may want to ask students, particularly with an ELL population, to first point out a lion and hyena before beginning their work. This assignment can be modified to ask students to compare a lion to a bird, if teachers are concerned about the difficulty of the word hyena. Preparation Notes Teachers should consider their student population when clicking to reveal new parts of the slide. To provide scaffolding, teachers can click once to find the first hint, using the word “to”, while another click provides the set-up for a fraction and then lastly a colon. Teachers should try to just show one way at a time and give students a chance to write their own ratio. Partner Work: Use the picture above to write a ratio in 3 ways comparing the # of lions to # of birds. Agenda