Ratios SWBAT compare two related quantities and represent them as ratios.

Warm Up 1.Sophia spent $75.26 at the farmer’s market. If she gave the cashier a $100 bill, how much change should Sophia receive? 2.How many ¼ cup servings of blueberries can be made from 7/8 of a cup of blueberries? 3.Mrs. Smith made 2 ½ gallons of tea. A serving of tea is 1/8 gallon. How many servings of tea did Mrs. Smith make? A)8B) 16C) 20D)24

What is a ratio? A ratio expresses the relationship between two quantities. Ratios compare two measures. Ex: Ratio of boys to girls in a classroom (comparing two measures of students)

Ways to Write Ratios  As a fraction  Using the word “to”  Using a colon Ex: 2:3

Real World Ratios  Days per week  Miles per hour  Pay—in dollars per hour  Weeks vacation per year Hours per day Days per year Heart beats per minute Feet per yard Inches per foot

Ratios in our classroom  What is the ratio of boys to girls in our classroom?  What is the ratio of girls to boys in our classroom?  What is the ratio of teacher to students in our classroom?

Types of Ratios  Part to part  Ex: student to student, girls to boys  Part to whole  Ex: student to class  Whole to part  Ex: class to student

What is the ratio? A basket of fruit contains 6 apples, 4 bananas, and 3 oranges. 1)Bananas to Apples 2)Bananas to apples to oranges 3)Oranges to total pieces of fruit

Ratio Relationships  3 drums for 18 people  4 blue eyed people to 6 brown eyed people  5 boys out of 12 students  For every 6 guppies in a tank, there are 3 orange fish

Writing Ratios using Pictures Write the ratio that compares the number of hearts to the total number of objects. Express the ratio as a fraction. Write the ratio that compares number of moors to the number of hearts. Express the ratio using the word “to” Write another ratio to represent the situation. Express the ratio with a colon.

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