Ratio Tables and Graphing

1

Warm Up

Agenda2

 Complete these problems:1) Label the x-axis, y-axis and origin. 2) Plot the point (2,4) 3) Plot the point (-2, -4)  4)  How are the two points related?  

Objective: Students will use tables to graph real-world rate examples. Language Objective: Students will review vocabulary relating to graphs like origin, x-axis, y-axis and positive slope.

Agenda3

Chocolate Chips Cookies Recipe1 cup butter, softened1 cup white sugar1 cup packed brown sugar2 eggs2 teaspoons vanilla extract3 cups all-purpose flour1 teaspoon baking soda2 teaspoons hot water1/2 teaspoon salt2 cups chocolate chips

Sarah and Tyreak are planning a bake sale to raise money for their local food shelter. They want to make A LOT of chocolate chip cookies! Here is the recipe for chocolate chip cookies:

Launch – Complete on your homework sheet

Agenda4

Sara and Tyreak decide that they will need more than 1 batch of cookies of their sale. Answer the questions below to help Sara and Tyreak!1) In 1 batch of cookies, how many cups of white sugar will be needed?  2)  In 4 batches of cookies, how many cups of white sugar will be needed?  3)  How did you get your answer in #2?  Be ready to explain!   4)  How many eggs do Sara and Tyreak need to make 3 batches of cookies?   5) What do you think is the most important ingredient to making chocolate chip cookies?

Agenda5

Sara and Tyreak decide they will make as many batches of cookies as they can! However, they only have 12 cups of chocolate chips! How many batches can they make?

Let’s use one of our tools to help us! A TABLE!!!

Hey, wait! Have you used a table before? If so when?  Mmmm            cookies!

ON YOUR HOMEWORK SHEET…

Agenda6

We can use a table to help use organize information, especially when we need a lot of information! Create a table that compares # of batches to cups of chocolate chips.

# of batches Cups of chocolate chips

1 2

Let’s fill in the rest of the chart, and follow the pattern!

0 0

Launch – Whole Class

Agenda7

Let’s answer our question! How many batches of chocolate chip cookies can Sara and Tyreak make with 12 cups of chocolate chips?

0 0 # of batches Cups of chocolate chips

1 2

Sara and Tyreak can make _____ batches of cookies!

Agenda8

Let’s go one step further and GRAPH our table!

# of batches

Cups of choc. chips

0 0

1 2

What 3 things do we need to label on our graph?

# of batches

Cups

of

choc

. chi

ps

Batches of Choc. Chip Cookies

On your homework sheet…

Agenda9

Let’s go one step further and GRAPH our table!

# of batches

Cups of choc. chips

0 0

1 2

2 4

# of batches

Cups

of

choc

. chi

ps

Batches of Choc. Chip Cookies

Explore – Partner Work

Agenda10

In the Tour de France, athletes from all over the world compete to be the fastest cyclist by riding everyday for up to 8 hours! In last year’s race, American cyclists averaged a rate of 75 miles in 3 hours. Using this information, fill in the chart below and create a graph! Then answer the questions on your hand-out!.

Hours Total Miles Biked

0

1

2

3

4

5

6

7

8

Explore

Agenda11

In the Tour de France, athletes from all over the world compete to be the fastest cyclist by riding everyday for up to 8 hours! In last year’s race, American cyclists averaged a rate of 75 miles in 3 hours.

Hours Total Miles Biked

0 0

1 25

2 50

3 75

4 100

5 125

6 150

7 175

8 200 Hours

Mile

s per

ho

ur

Tour de France Race

Explore – Partner Work

Agenda12

Use the Tour de France graph and table to answer the following questions!1)  In 2 hours, how far will the cyclists have gone?  2)  If a cyclist traveled 125 miles, how many hours has he been biking?  3) In questions #1 and #2, did you use the graph or the table?  Why? 

4) Estimate, to the nearest hour, how long it would take a cyclist to go 170 miles? 

5)  Estimate how many miles a cyclist would bike after 2 hours and 30 minutes?  Explain how you got your answer.

  6)  What does the first point (0,0) on the graph represent?