Equal Measures
Use the numbers and units from the list to write as many equations as you can. For example, you
might write hour is 30 minutes. You can use the numbers and units more than once.
1
60
40
30
12
50
0.01
0.3
24
0.4
centimeter
feet
6
meter
minute
2
hour
inch
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
Pittsburgh to Phoenix
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.
segment
Pittsburgh to Saint
Louis
time
1 hour
Saint Louis to
1 hour 42
Albuquerque
minutes
Albuquerque to
Phoenix
distance
speed
550
miles
330
miles
1. What is the distance between Saint Louis and Albuquerque?
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
2. How many minutes did it take to fly between Albuquerque and Phoenix?
3. What is the proportional relationship represented by this table?
4. What is the constant of proportionality?
5. Complete the table so that the values in each column are in terms of the same unit.
segment
Pittsburgh to Saint Louis
time
distance
speed
550
miles
Saint Louis to
Albuquerque
Albuquerque to Phoenix
330
miles
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
Are you ready for more?
Think of a situation where the speed is not constant. Is the relationship between time and distance
proportional? Explain how you know.
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
Centimeters to Millimeters and Back
There are 10 millimeters (mm) in every centimeter (cm).
There are two ways of thinking about the proportional relationship between centimeters (cm) and
millimeters (mm).
length (cm)
length (mm)
9
12.5
88.49
length (mm)
length (cm)
70
245
699.1
1. Complete each table. What is the constant of proportionality for each table?
2. How are these constants of proportionality related to each other?
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
3. 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 ________.
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
Are you ready for more?
1. How many square millimeters are there in a square centimeter?
2. How do you convert square centimeters to square millimeters?
3. How do you convert the other way?
4. How are these conversion methods related to the constants of proportionality?
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)