1.3 Unit Rates Standards 6.RP.2, 6.RP.3, ad 6.RP.3b Essential Question How are rates and ratios related? Vocabulary • Rate – a ratio comparing two quantities with different kinds of units. • Unit Rate – a rate written as a fraction with a denominator of 1 unit. • Unit Price – a unit rate that is the cost per unit. Steps • Write the two quantities as a rate. • Divide both numerator and denominator by the denominator. Write each rate as a unit rate. 1.) 44 points in 4 quarters 44 ÷4 11 4 ÷4 1 There is 11 points in every one quarter. Write each rate as a unit rate. 2.) 125 feet in 5 seconds 125 ÷5 25 5 ÷5 1 She ran 25 feet in 1 second. Write each rate as a unit rate. 3.) 360 miles traveled on 12 gallons of gasoline 360 ÷12 30 12 ÷12 1 He travels 30 miles per gallon. Write each rate as a unit rate. 4.) 12 meters in 28 seconds 12 ÷28 3 7 28 ÷28 1 He ran 3/7 meters in 1 second. Story Problems 5. Walnut Middle School uses 12 gallons of water per student each school day. There are 450 students. On average, how many gallons are used each hour during an 8-hour school day? 12 • 450 = 5400 5400 8 ÷8 ÷8 675 1 675 gallons per day Story Problems 6.) For Caroline’s birthday, her mom took her and 4 friends to a water park. Carolina’s mom paid $40 for 5 student tickets. What was the price for one student ticket? 40 5 ÷5 ÷5 8 1 She paid $8 for one student. Building Essential Question • How are rates and ratios related? A rate is a ratio that compares two quantities with different kinds of units, such as miles per hour. Summarize • Make sure you do the summarize section. Rate Yourself! _______ I understand how to find an unit rate. _______ I still have some questions about rates.
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