Grade 07 Mathematics - EC: M07.A-R.1.1.5

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

7th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M07.A-R.1.1.5 M07.A-R.1.1.5

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r), where r is the unit rate.

Activities

Use the graph to answers questions 1 and 2.

What is represented by the labeled point on this graph?

What would the point (0.0) represent on this graph?

Use the following graph to answer questions 3 and 4

What does the labeled point on the graph represent? Explain

How much money does the person represented by the graph make per day? Explain

Why would you have the point (0.0) on this graph? Explain.

Use the data in the chart to complete the graph. The data shows that there is a proportional relationship between the number of scoops of ice cream that you use and how many milkshakes you make.

Using the graph you made explain what the coordinate (3, 6) means.

Using data from the graph, how many milkshakes could be made if you had 18 scoops of ice cream? Explain your answer.

Answer Key/Rubric

The labeled point on the graph means that after 3 days of traveling you would travel 6 miles

He point (0,0) on this graph means that in 0 days you would not travel any distance.

The point on the graph represents the amount of money that was earned after working for 4 full days. It would be $340 in 4 days.

In one day the person would earn $85. Students reasons might include, but are not limited to

Using the data on the labeled point you can find the unit rate by dividing the amount og money earned by the number of days.
$340 ÷ 4 = $85 earned in one day

On this graph the point (0,0) would mean that you would earn $0 if you worked for 0 days.

On this graph the point (3,6) mean that if you are going to make 3 milkshakes it will take 6 scoops of ice-cream.

You could make 9 milkshakes with 18 scoops of ice-cream according to the graph. Student work might include, but is not limited to

Find the unit rate by diving the number if scoops by the number of milkshakes that you can make.
Use the point labeled 6 ÷ 3 = 2 scoops per milk shake
Then take the number of scoops you have and divide by the unit rate to see how many milk shakes you can make.
18 ÷ 2 = 9 milk shakes