Answer:Lesson Guide
Have students read the prompt, examine the ratio table, and graph the points.
Ask:
Why do you think the table is called a ratio table?
How can you complete the table?
How is the information in the ratio table represented in the graph?
How can you plot the points on the graph?
Use any disagreement to prompt a discussion.
Mathematics
The start of the lesson focuses students’ attention on the connection between the pairs of values in the table and the points on the graph and asks them to add information to each representation. Incorrect attempts at adding values or points to the representations are especially productive at this point in the unit; use them to surface misconceptions about the connections between tables and graphs and to provide opportunities for revising student thinking.
Note: You may need to point out that the packages are all the same size if students raise the question.
Opening
Ratio Tables and Graphs
Ms. Lopez sells muffins at her bakery. She sells them in packages.
She uses a ratio table to determine the number of packages she will need for different numbers of muffins. The table she uses shows equivalent ratios of number of packages to number of muffins.
She can also use a graph to show this information.
Complete the ratio table with your class.
Using the graph on the handout, graph paper, or a graphing tool, plot all the points in the ratio table on a graph.
Examine the graph. How is the information in the ratio table represented in the graph?
HANDOUT: Ratio Tables and Graphs
Ratio of Packages to Muffins
Packages 1 2 3 5 10
Muffins 5 10 15 25 100