Lesson 3: Introducing Proportional Relationships with
Tables (Part 2)
1. Gibson’s Grocery orders paper towels by the case. The table shows how many rolls of paper
towels they receive when they order different numbers of cases. Use the information shown to
fill in the blanks in the statements below.
The table shows a ___________________ relationship between cases and rolls. The “2” shown is
called a ______________ ____________. The _________ of ________________ for this relationship is 12. The
units for the 12 are ____________ per ____________.
Bank of Terms: scale, case, proportional, proportionality, factor, rolls, constant
2. When Jesse makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate
syrup. This table tells you how to make batches of different size. Use the information in the
table to fill in the blanks in the statements below.
The table shows a proportional relationship between ________________ and ___________________.
The scale factor shown is _____. The constant of proportionality for this relationship is
_____________ . The units for the constant of proportionality are ______________ per _______________.
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
Bank of Terms (some terms are used more than once): tablespoons of chocolate syrup, 4, cups
of milk, cup of milk, 3/2
3. Each table represents a proportional relationship. For each table...
a. Fill in the missing parts of the table.
b. Draw a circle around the constant of proportionality.
c. Label with one example of a scale factor.
2
10
15
7
1
12
3
20
10
1
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
5
3
10
18
1
4. One kilometer is 1000 meters.
a. Complete the tables. What is the interpretation of the constant of proportionality in each
case?
i.
meters
kilometers
1,000
1
250
12
1
__________ kilometers per meter
ii.
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
meters
kilometers
1
1,000
5
20
0.3
__________ meters per kilometer
b. What is the relationship between the constant of proportionality from meters to kilometers
and the constant of proportionality from kilometers to meters?
5. Trejon is running a portion of a marathon at a constant speed of 6 miles per hour. Complete
the table to predict how long it would take him to run different distances at that speed, and
how far he would run in different time intervals:
time in hours
miles traveled at 6 miles per hour
1
9
6. Which one of these shapes is not like the others? Describe mathematically what makes it
different by using ratios to compare widths and heights.
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)
7. Which one of these pictures is not like the others? Describe mathematically makes it different
by using ratios.
Unit 2: Introduction to Proportional Relationships Lesson 3: Introducing Proportional Relationships with Tables (Part 2)