Transcript Representing_ratios_2

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?
Double Number Lines
Tables
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____
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.
1.
Draw two lines – label the top miles and the bottom gallons
2.
Divide the lines into 3 parts
3.
Each part represents 30 miles on the top line and 1 gallon on
the bottom
4.
Label your lines with the correct values
5.
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? __________
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
Laps
______6_______12______18_____
______1_______2_______3______
How many laps can he run in 9 minutes?
 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.
Hours
Miles
0
0
1
20
2
40
3
60
 Tables can also be constructed horizontally
Hours
0
1
2
3
Miles
0
20
40
60
 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)
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.
Drops of Yellow
Cups of Icing
6
1
12
2
18
3
24
4
30
5
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.
Hot Dogs
Time (minutes)
66
12
33
6
11
2
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=6SwGBBt5K0&safety_mode=true&persist_safety_mode=1
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
Independent Practice
 You have 10 minutes to complete the
Independent Practice worksheet.
 Raise your hand if you have questions or
need help.
 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.