Equivalent Ratios TeacherTwins©2015.

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Presentation transcript:

Equivalent Ratios TeacherTwins©2015

Warm Up $31.25 per pair 2.5 shots per minute $8.75 per hour 1). Jake paid $125 for 4 pairs of jeans. How much did he pay for each pair? 2). Kim made 15 shots in 6 minutes. How many shots did she make per minute? 3). Ike made $35 for 4 hours of work. How much did he make per hour? 4). To make 6 dozen cookies you use 8 cups of flour. How much flour is needed for one dozen cookies? $31.25 per pair 2.5 shots per minute $8.75 per hour

Equivalent ratios are ratios that have the same value. Cups of Pineapple Cups of Strawberries 1 2 4 8 Using the ratio 1 cup of pineapple to 2 cups of strawberries you can make as many equivalent ratios as you would like.

Example 1: Dan’s mother needs 2 cakes to feed 16 children at the birthday party. How many cakes are need for 32 children? 48 children? 1 cake can serve 8 children, so you need 4 cakes for 32 children and 6 cakes for 48 children.

Example 1: Dan’s mother needs 2 cakes to feed 16 children at the birthday party. How many cakes are need for 32 children? 48 children? Cakes (c) Children (Y) 1 2 16 3 32 48 8 24 4 6 You can use a table to help you solve the problem. You can also figure out the equation from the table. Every cake feeds 8 children so you multiply each cake by 8. The equation is Y=8c.

Example 2: Create a table to help you solve the following problem. Jack can run 3 miles in 18 minutes. How many miles will he run in 24 minutes? 36 minutes? What is the equation? Miles (X) Minute (Y) 1 2 3 18 24 36 Y 6 Since he runs 1 mile in 6 minutes the equation is Y=6x. 12 4 6 6x

2). Fill in the table below. Practice 1). If 3 pounds of almonds cost $15.00. How many pound can you buy for $45? What is the unit rate? 2). Fill in the table below. 3). Write the equation for the table above. Servings (X) 1 2 3 9 Calories (Y) 240 480

2). Fill in the table below. Practice 1). If 3 pounds of almonds cost $15.00. How many pound can you buy for $45? What is the unit rate? 2). Fill in the table below. 3). Write the equation for the table above. y = 80x You can buy 9 pounds for $45 because the unit rate is $5 per one pound. Servings (X) 1 2 3 6 9 Calories (Y) 80 160 240 480 720

Closure Give an example of 2 ratios that are equivalent to the following: 6 boys for every 2 girls