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Warm Up

Warm Up. Use a TAPE DIAGRAM to solve the problems below. Show your work! 1. Travis drove 129 miles in 3 hours. How many miles did he drive in 1 hour? 2. Six oranges cost $5.34. How much does 1 orange cost?

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Warm Up

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  1. Warm Up Use a TAPE DIAGRAM to solve the problems below. Show your work! 1. Travis drove 129 miles in 3 hours. How many miles did he drive in 1 hour? 2. Six oranges cost $5.34. How much does 1 orange cost? 3. A bottle of body wash costs $2.88 and contains 12 ounces. How much does it cost per ounce? 4. A package of 5 crackers has 205 calories. How many calories are in 1 cracker?

  2. Representing Ratios – Part 2 Double Number Lines Tables

  3. Double Number Line • A double number line allows you to show two quantities at one time • A double number line works well when you are modeling a rate • Remember our example from yesterday with Sam? • That was a double number line! Miles _0___ 5___10_____20____40___ Hours _0__1/4__1/2____1_____2____

  4. Double Number Line Example 1 Ms. Lipman’s car gets 30 miles per gallon. Use a double number line to show this data and determine how many miles can be driven on three gallons. • Draw two lines – label the top miles and the bottom gallons • Divide the lines into 3 parts • Each part represents 30 miles on the top line and 1 gallon on the bottom • Label your lines with the correct values • What is the answer? Use your double number line to find: • How many miles can she drive on 2 gallons? __________ • How many miles can she drive on 4 gallons? __________

  5. Double Number Line Example 2 Ki-mon can run 1 lap in 6 minutes. How many laps can he run in 18 minutes? Use a double number line to find your answer. Minutes ______6_______12______18_____ Laps ______1_______2_______3______ How many laps can he run in 9 minutes?

  6. Tables • A table of ratios allows you to organize information efficiently! • Let’s look at our example of Sam’s bike riding: • Sam bikes 20 miles in 1 hour. Sam’s rate is the same no matter how long or short his bike ride is.

  7. Tables • Tables can also be constructed horizontally • Turn to a partner and share: • What do you think the advantages are to using a table to represent a ratio? • What is your preferred method of representing a ratio? Why? (tape diagram, concrete model, double number line, table)

  8. Tables – Example 1 • To make yellow icing, you mix 6 drops of yellow food coloring with 1 cup of white icing. How much yellow food coloring should you mix with 5 cups of white icing to get the same shade? • Use a table to find the answer.

  9. Tables – Example 2 • In a recent year, Joey Chestnut won a hotdog eating contest by eating nearly 66 hot dogs in 12 minutes. If he ate at a constant rate, determine about how many hot dogs he ate every 2 minutes. • Use a table to find the answer.

  10. Real World Application! • What are some of the places you go with friends? • What are some different modes of transportation you have used? • Has anyone ever been in a cab? • Has anyone ridden on the lightrail in Charlotte? • http://www.youtube.com/watch?v=6-SwGBBt5K0&safety_mode=true&persist_safety_mode=1

  11. The Movie that Wasn’t • You have 30 seconds to find your 7 o’clock partner and take a seat • Each pair will get a sheet with a scenario about going to the movies • Do your work on a separate sheet of paper • The first pair to thoroughly complete the activity will receive a ticket each! • Your activity must include: • Work shown for all three parts • Correct answers with written explanations

  12. Independent Practice • You have 10 minutes to complete the Independent Practice worksheet. • Raise your hand if you have questions or need help.

  13. Exit Ticket – Show your work! • Katniss from the Hunger Games can shoot 20 apples through the core in 30 seconds flat. (She’s super talented, right?). Use a double number line to find out how many apples can she shoot in 4 minutes. • To make cranberry jam, you need 12 cups of sugar for every 16 cups of cranberries. Find the amount of sugar needed for 4 cups of cranberries. Draw a table.

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