Discovering Ratios: Comparing Quantities in Math
Grade 6 Mathematics Exploring relationships between numbers
What Do You Notice?
Look around the classroom How many boys compared to girls? How many windows compared to doors? What other comparisons can you make?
What is a Ratio?
A ratio compares two or more quantities Shows the relationship between numbers Can be written in different ways Example: 3 apples to 2 oranges
Three Ways to Write Ratios
Using the word 'to': 3 to 2 Using a colon: 3:2 As a fraction: 3/2 All three mean the same thing!
Ratio Detective
Count objects in the picture Find the ratio of red to blue items Write your answer in all three ways Share with a partner
Real-Life Ratios vs. Math Ratios
{"left":"Recipe: 2 cups flour to 1 cup sugar\nSports: 3 wins to 2 losses\nArt: 4 red paints to 3 blue paints\nClassroom: 15 students to 1 teacher","right":"Money: 3 quarters to 2 dimes\nTime: 5 minutes work to 1 minute break\nGames: 2 players to 1 controller\nNature: 4 legs to 1 body (dog)"}
Order Matters in Ratios!
3:2 is different from 2:3 The first number relates to what's mentioned first Example: 'boys to girls' vs 'girls to boys' Always read the problem carefully
Practice Time!
In a bag of marbles: 6 red marbles 4 blue marbles What is the ratio of red to blue? What is the ratio of blue to red?
Create Your Own Ratio
Use classroom supplies Create a collection with two types of items Count each type Write the ratio in all three ways Present to the class
Today We Learned
Ratios compare quantities Three ways to write ratios: to, :, and fraction form Order matters in ratios Ratios are everywhere in real life Next: We'll learn about equivalent ratios!