Determine if relationships are proportional or non-proportional.
This Lesson extends on Lesson 8 by having students make the determination if a relationship is proportional or non-proportional, and to justify their reasoning.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from discussion) and Anchor Problem 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
Is the perimeter of a square proportional to the side length of a square?
Is the area of a square proportional to the side length of a square?
Justify your answer to each question using tables, graphs, and/or equations.
At Sunny’s Market, soda water costs $2.55 for 3 liters.
Which stores below sell soda water at the same price per liter as Sunny’s Market?
Ahmed hiked at a constant speed for 6 hours and covered 21 miles. This is represented in the coordinate plane below.
Which coordinate points, when graphed on the plane above, would be in a proportional relationship to Ahmed’s hike? Select all that apply.
a. (0, 3.5)
b. (1, 3.5)
c. (2, 7)
d. (3, 14)
e. (4, 15)
f. (5, 17.5)
g. (8, 28)
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
Is the perimeter of an equilateral triangle proportional to the side length of the triangle? For any regular polygon, is the perimeter of the polygon proportional to the side length of the polygon? Explain your reasoning.