21st Century Lessons Introduction to Ratios 6.RP.1 Day 1 1 Warm Up Write each fraction in simplest form. 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 7 Agenda: 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? Hint: How many ears do I have? A quantity is an amount of anything that we can count. Like my ears! 8 Lucky Charms Launch Turn and Talk: 1. Have you ever had Lucky Charms cereal? 2. Are there more marshmallows or oat pieces in a box of Lucky Charms? 3. Predict how many marshmallows pieces are 1 box. 4. Predict how many oat pieces are in 1 box. Watch the Video on the next slide and then we will test your prediction! Hint: 9 Agenda Counting Lucky Charms… 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) a colon : Agenda 12 Lucky Charms Continued Write the ratio of marshmallows to oats in 3 ways. Let’s try together: Remember in 1 box: 287 Marshmallows 2,583 Oats 1) A Fraction 2) The Word “to 287 Marshmallows to 2,583 Oats 3) A Colon 287 Marshmallows : 2,583 Oats Agenda 13 Practice – Work with a partner! Write a ratio comparing # of people to # of pizzas for each picture. Picture #1 1 person: 4 pizzas Picture #2 4 people: 1 pizza Talk to your partner How are the ratios above alike? Does the order matter when writing a ratio? Yes! The situation changes if we change the order of pizza & people.! Agenda 14 Explore lions to birds 6 lions to 1 bird lions : birds 6 lions : 1 bird Partner Work: Use the picture above to write a ratio in 3 ways comparing the # of lions to # of birds. Agenda 15 Simplifying Ratios Basketball 1) Write in simplest form the ratio of Biking to Basketball. 8 hours of biking 1 hour of biking = = 2 hours of basketball Basketball 16 hours of basketball Let’s explain the meaning of this ratio! This ratio means that for every 1 hour biking, Christian spent ___ hours playing basketball. Agenda 16 Simplifying Ratios 2) Write in simplest form the ratio of Christian’s time spent running to total hours of activities. Let’s explain the meaning of this ratio! This ratio means that for every 25 total hours Christian spent on activities, he spent ____ hours running. Scaffold 17 Agenda Summary – Try Independently 1) A ratio is a comparison of two different _________. 2) We can write a ratio in ____ different ways. 3) Ratios can be written as As a fraction Using the word “to” Using a colon : Agenda 19 Practice Complete the following problems. Agenda 20 Practice - Answers Agenda 21 Practice Complete the following problems. Agenda 22 Practice - Answers Agenda 23 Assessment Complete the following questions on your own! Write a ratio comparing # of fish to # of sharks in 3 ways. or go to Peardeck.com for exit ticket… Agenda 24