21 st Century Lessons Introduction to Ratios Primary Lesson Designer(s): Stephanie Conklin 1

2 This project is funded by the American Federation of Teachers.

Agenda: OBJECTIVE: Students will demonstrate and understanding of ratios concretely, pictorially, and symbolically. 1) Warm Up – Talk and Turn 2) Lucky Charms Launch – Whole Class 3) Exploration - Partner 4) Summary - Individual 5) Practice – Small Group 6) Assessment - Individual 3 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!

Lucky Charms Launch Agenda 4 Hint: 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. Turn and Talk:

Lucky Charms Launch Agenda 5 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. Turn and Talk: Hint: There are almost 2,800 marshmallows and oats altogether in 1 box. Hint: There are almost 2,800 marshmallows and oats altogether in 1 box.

Lucky Charms Continued 6 Agenda 1) a fraction 2) the word, “to” 3) a colon :  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:

Lucky Charms Continued 7 Agenda Remember in 1 box: 287 Marshmallows 2,583 Oats Remember in 1 box: 287 Marshmallows 2,583 Oats Write the ratio of marshmallows to oats in 3 ways. Let’s try together: 1) A Fraction 2) The Word “to 3) A Colon 287 Marshmallows to 2,583 Oats 287 Marshmallows : 2,583 Oats

Practice – Work with a partner! 8 Agenda Talk to your partner  How are the ratios above alike?  Does the order matter when writing a ratio? Write a ratio comparing # of people to # of pizzas for each picture. Picture #1Picture #2 1 person: 4 pizzas4 people: 1 pizza Yes! The situation changes if we change the order of pizza & people.!

Explore 9 Agenda Partner Work: Use the picture above to write a ratio in 3 ways comparing the # of lions to # of birds. lions to birds 6 lions to 1 bird lions : birds 6 lions : 1 bird

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

Simplifying Ratios 11 Agenda Scaffold 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.

Simplifying Ratios 12 Agenda 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. Hint: Add to find the total # of points Hint: Add to find the total # of points

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 13 Agenda  As a fraction  Using the word “to”  Using a colon :

Use the CW hand-out to complete the following problems. Practice 14 Agenda

Practice 15 Agenda Use the CW hand-out to complete the following problems.

Practice - Answers 16 Agenda

Practice - Answers 17 Agenda

Assessment Complete the following questions on your own! Write a ratio comparing # of fish to # of sharks in 3 ways. 18 Agenda