Introduction to Constant of Proportionality

Constant of Proportionality

Multiple Choice

Do Now: Pick the correct table below that matches the word problem in the picture.

Standard 7.RP.A.2b

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Open Ended

Type ALL nouns from the standard below:

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Open Ended

Type ALL verbs from the standard below:

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Find Synonyms for Nouns and Verbs

• In breakout rooms, find synonyms for the following nouns and verbs. Write these down in your math notebook/blank sheet of paper.

• Nouns: constant of proportionality, tables, graphs, equations, diagrams, verbal descriptions, proportional relationships

• Verbs: identify

Learning Target

I can recognize the unit rate in charts, drawings, statements of equality, and word problems of equivalent relationships.

Example 1: National Forest Deer Population in Danger?

• Wildlife conservationists are concerned that the deer population might not be constant across the National Forest. The scientists found that there were 144 deer in a 16 square-mile area of the forest. In another part of the forest, conservationists counted 117 deer in a 13 square-mile area. Yet a third conservationist counted 216 deer in a 24 square-mile plot of the forest. Do conservationists need to be worried?

• a. Why does it matter if the deer population is not constant in a certain area of the National Forest?

• b. What is the population density of deer per square mile?

Multiple Select

Exit Ticket: What is the constant of proportionality for the table below.

• k= 2

• k= 1/2

• k= 0.50