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**Good Morning!**• Please have the following on your desk • Warm-Up • Colored pen • INB • Pencil • White board • Whiteboard marker • Complete warm-up 5-2 • Set up your interactive notebook for today’s lesson • Complete vocabulary hand out**5-2 Rates & Unit Rates**Now set up the left side of the page & complete: Page number Lesson title Learning goal What I know: Then complete the vocabulary card for unit rates. On the back, complete a vocublary card for “rates”**Vocabulary**• UNIT RATE • A rate in which the second quantity in the comparison is one unit. • Example: • 10 centimeters per minute • Characteristics: • The denominator is always one • Usually expressed using the word “per”. Per means 1 • Non examples: • (share what you’ve got!) • RATE • A special type of ratio that compares 2 quantities measured in different units. • Example: • The speed limit is 55 miles per hour • 55mi/h • Characteristics: • Compares different things • Non examples: • (share what you’ve got!)**Foldable for the right side of your INB**• Tape left edge of vocab card so you can flip it over, below the objective • Glue the booklet at the bottom**Additional Example 1A: Finding Unit Rates**Find the rate. A Ferris wheel revolves 35 times in 105 minutes. How many minutes does 1 revolution take? Write a rate that compares minutes and revolutions. 105 minutes 35 revolutions Divide the numerator and denominator by 35 to get an equivalent rate. 105 minutes ÷ 35 35 revolutions ÷ 35 3 minutes 1 revolution Simplify. The Ferris wheel revolves 1 time in 3 minutes.**Additional Example 1B: Finding Unit Rates**Find the rate. Sue walks 6 yards and passes 24 security lights set along the sidewalk. How many security lights does she pass in 1 yard? Write a rate that compares security lights and yards. 24 lights 6 yards Divide the numerator and denominator by 6 to get an equivalent rate. 24 lights ÷ 6 6 yards ÷ 6 4 lights 1 yard Simplify. Sue passes 4 security lights in 1 yard.**YOUR TURN! ON YOUR WHITE BOARD**Find the rate. A dog walks 696 steps in 12 minutes. How many steps does the dog take in 1 minute? Write a rate that compares steps and minutes. 696 steps 12 minutes Divide the numerator and denominator by 12 to get an equivalent rate. 696 steps ÷ 12 12 minutes ÷ 12 58 steps 1 minute Simplify. The dog walks 58 steps per minute.**YOUR TURN! ON YOUR WHITE BOARD**Find the rate. To make 12 smoothies, Henry needs 30 cups of ice. How many cups of ice does he need for one smoothie? Write a rate that compares cups of ice and smoothies. 30 cups of ice 12 smoothies Divide the numerator and denominator by 12 to get an equivalent rate. 30 cups of ice ÷ 12 12 smoothies ÷ 12 2.5 cups of ice 1 smoothie Simplify. Henry needs 2.5 cups of ice per smoothie.**An average rate of speed is the ratio of distance traveled**to time. The ratio is a rate because the units in the numerator and denominator are different. Speed is usually expressed as a unit rate.**Additional Example 2: Finding Average Speed**Danielle is cycling 68 miles as a fundraising commitment. She wants to complete her ride in 4 hours. What should be her average speed in miles per hour? 68 miles 4 hours Write the rate. Divide the numerator and denominator by 4 to get an equivalent rate. 68 miles ÷ 4 4 hours ÷ 4 17 miles 1 hour = Danielle’s average speed should be 17 miles per hour.**YOUR TURN! ON YOUR WHITE BOARD**Rhett is a pilot and needs to fly 1,191 miles to the next city. He wants to complete his flight in 3 hours. What should be his average speed in miles per hour? 1,191 miles 3 hours Write the rate. Divide the numerator and denominator by 3 to get an equivalent rate. 1,191 miles ÷ 3 3 hours ÷ 3 397 miles 1 hour = Rhett’s average speed should be 397 miles per hour.**A unit price is the price of one unit of an item. The unit**used depends on how the item is sold. The table shows some examples.**Additional Example 3: Consumer Math Application**A 12-ounce sports drink costs $0.99, and a 16-ounce sports drink costs $1.19. Which size is the best buy? Divide the price by the number of ounces (oz) to find each unit price. $0.99 12 oz $1.19 16 oz $0.08 oz $0.07 oz ≈ ≈ Since $0.07 < $0.08, the 16-ounce sports drink is the best buy.**YOUR TURN! ON YOUR WHITE BOARD**A 1.5 gallon container costs $4.02, and a 3.5 gallon container costs $8.75. Which size is the best buy? Divide the price by the number of gallons to find the unit price of each size. $4.02 1.5 gal $8.75 3.5 gal $2.68 gal $2.50 gal = = Since $2.50 < $2.68, the 3.5 gallon container is the best buy.**Rally Coach! TB pg238**B’s complete: #6 #3 #4 A’s complete: #5 #7 #8**5-2 Left side time!**What I learned: write 1-2 sentences about what you learned. Proof: REASONING. A store sells paper towels in packs of 6 and packs of 8. Use this information to write a problem about comparing unit rates. Reflection: WRITE ABOUT IT. Michael Jordan has the highest scoring average in NBA history. He played in 1,072 games and scored 32,292 points. Explain how to find a unit rate to describe his scoring average. What is the unit rate?**5-2 TICKET OUT THE DOOR**1.It takes Mia 49 minutes to complete 14 homework problems. On average, how long did it take to solve each problem? 2.Abby can buy a 7-pound bag of dry cat food for $7.40, or she can purchase a 3-pound bag for $5.38. Which size is the best buy?