IM 7.2.3 Lesson: More about Constant of Proportionality
Use the numbers and units from the list to find as many equivalent measurements as you can. For example, you might write “30 minutes is hour.”
You can use the numbers and units more than once.
1 0.3 centimeter 12 40 24 meter 0.4 0.01 hour 60 6 feet 50 30 2 minute inch
There is a proportional relationship between any length measured in centimeters and the same length measured in millimeters.
There are two ways of thinking about this proportional relationship. If you know the length of something in centimeters, you can calculate its length in millimeters. Complete the table.
What is the constant of proportionality in the table above?
If you know the length of something in millimeters, you can calculate its length in centimeters. Complete the table.
What is the constant of proportionality in the table above?
How are the two constants of proportionality you found related to each other?
Complete each sentence:
To convert from centimeters to millimeters, you can multiply by ________.
To convert from millimeters to centimeters, you can divide by ________ or multiply by ________.
How many square millimeters are there in a square centimeter?
How do you convert square centimeters to square millimeters? How do you convert the other way?
On its way from New York to San Diego, a plane flew over Pittsburgh, Saint Louis, Albuquerque, and Phoenix traveling at a constant speed.
Complete the table as you answer the questions. Be prepared to explain your reasoning.
What is the distance between Saint Louis and Albuquerque?
How many minutes did it take to fly between Albuquerque and Phoenix?
What is the proportional relationship represented by this table?
Diego says the constant of proportionality is 550. Andre says the constant of proportionality is . Do you agree with either of them? Explain your reasoning.