Proportional Relationships- Day 3

More about Constant of Proportionality

Lesson 3

Objective: Today I will describe how to find the constant of proportionality so that I can find and interpret the constant proportionality. I know I am successful when I can complete Cool Down 3 to earn a 4.

Equal Measures

Fill in the blank to create equal measurements.

Centimeters and Millimeters

There is a proportional relationship between any length measured in centimeters and the same length measured in millimeters.

Open Ended

9 cm = ?? mm

Open Ended

12.5 cm = ?? mm

Open Ended

50 cm = ?? mm

Open Ended

88.49 cm = ?? mm

Open Ended

What is the constant of proportionality?

If you know the length of something in millimeters, you can calculate its length in centimeters.

Complete the table.

Open Ended

70 mm =?? cm

Open Ended

245 mm = ?? cm

Open Ended

4 mm = ?? cm

Open Ended

699.1 mm = ?? cm

Open Ended

What is the constant of proportionality?

Open Ended

How are these two constants of proportionality related to each other?

Pittsburgh to Phoenix

A plane traveling at a constant speed flew over Pittsburgh, Saint Louis, Albuquerque, and Phoenix on its way from New York to San Diego.

Complete the table as you answer the questions. Be prepared to explain your reasoning.

Open Ended

What is the distance between Saint Louis and Albuquerque?

Open Ended

How many minutes did it take to fly between Albuquerque and Phoenix?

Open Ended

What is the proportional relationship represented by this table?

Poll

Diego says the constant of proportionality is 550. Andre says the constant of proportionality is 916. Do you agree with either of them? Explain your reasoning.

• Yes

• No

Poll

How I feel after this lesson

• 😎

• 😀

• ☹️