Introduction to Ratios: Exploring Quantities in Real-World Scenarios

1. 21st Century Lessons Introduction to Ratios 6.RP.1 Day 1

2. 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

3. 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!

4. 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. Watch the Video on the next slide and then we will test your prediction! Hint: Agenda

5. Counting Lucky Charms…

6. 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

7. 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) A Colon 287 Marshmallows : 2,583 Oats Agenda

8. 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? Yes! The situation changes if we change the order of pizza & people.! Agenda

9. 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

10. Simplifying Ratios Basketball • Write in simplest form the ratio of Biking to Basketball. • Let’s explain the meaning of this ratio! • This ratio means that for every 1 hour biking, Christian spent ___ hours playing basketball. Basketball Agenda

11. Simplifying Ratios • 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 Agenda

12. Summary – Try Independently • A ratio is a comparison of two different _________. • We can write a ratio in ____ different ways. • Ratios can be written as •  As a fraction • Using the word “to” • Using a colon : Agenda

13. Practice Complete the following problems. Agenda

14. Practice - Answers Agenda

15. Practice Complete the following problems. Agenda

16. Practice - Answers Agenda

17. 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