Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
MPs
Applied MP
* Embedded MP
Procedural Lesson
Grade 6 · Unit 5 · Lesson 15
MC: 6.EE.9
Steps:
1. Identify the independent variable as
the x-value.
2. Identify the dependent variable as the y
-value.
3. Using the equation, create a table.
4. Graph.
5. Answer the question.
Vocabulary Notes
Independent variable: a variable whose value does
not depend on another variable in the equation
Dependent variable: a variable whose value is based
on the value of another variable in the equation
Example:
d
= 60
t
dependent independent
variable variable
In this equation,
d
stands for distance and
t
stands
for time. This is the distance formula. In this
equation, the speed is a constant of 60 mph (like a
car on cruise control). If
t
= 1 hour, then
d
= 60 miles;
if
t
= 2 hours, then
d
= 120 miles. Time (
t
) is the
independent variable because as it changes, it
affects the distance. Time change does not depend
on the distance, because the clock “just keeps
moving.” The distance traveled depends on the time;
therefore, distance (
d
) is the dependent variable.
The relationship between
distance and time can be
represented in a table
(sometimes called a t-chart or an
input-output table).
t
(
x
-axis)
d
(
y
-axis)
1 60
2 120
3 180
1 2 3 4 5 6 7 8
*
* *
*
*
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
/
Directions: Identify the independent and dependent variables. Use the equation to create a
table of values and graph the situation. Use any of the representations (equation, table, or
graph) to answer the question.
1. Fernanda earns $12 per hour walking dogs.
How much money will Fernanda make after 10 hours of dog walking?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
/
MP2: How are the equation, graph, and table related.
MP7: How can you use the graph to help you find another quantity.
2. Josue drives 60 miles each hour of his trip.
How many miles will Josue drive after 5 hours?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
Directions: Identify the independent and dependent variables. Use the equation to create a
table of values and graph the situation. Use any of the representations (equation, table, or
graph) to answer the question.
1. For each incorrect answer, students are marked down 2.5 points.
How many points will be marked down if a student answers 7 questions
incorrectly?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
2. A plane flies 525 miles per hour.
How many miles will the plane travel in 8 hours?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
Name: ____________________________
Date: ______________________________
Directions: Identify the independent and dependent variables. Use the equation to create a
table of values and graph the situation. Use any of the representations (equation, table, or
graph) to answer the question.
1. Jesse drove an average of 54 miles per hour.
How many miles will Jesse drive in 10 hours?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
2. On average, a blue whale eats 7,000 pounds of krill per day.
How many pounds of krill will the blue whale eat in 3 days?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
3. The red maple tree grows 1.5 feet per year.
How many feet will the tree grow in 14 years?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
4. The newly released book sold for $9.50 per book.
What will be the total sales if 24 books are sold?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
1. Washington School is selling raffle tickets as a fundraiser. Each ticket
earns the school $1.50. Write an equation for the total money raised,
m
, for
t
tickets sold. How many tickets will the students of Washington School
need to sell if they want to meet their fundraising goal of $1,500?
2. Grey whales travel an average of 120 miles each day during the migration
season. Write an equation for the number of miles traveled, m, for d days.
How many days will it take a grey whale to travel 6,000 miles?
Extension Activity
*
MP4: How can you relate this to something in real life?
Create a real-life situation that contains independent and dependent
variables. Create a question that can be answered by using either an
equation, a table of values, or a graph to represent your situation. Switch
with a neighbor write an equation for your neighbor’s situation and answer
the question.
Directions: Read and answer each question.
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ
Recap today’s lesson with one or more of the following questions:
MP3: How are the equation, graph, and table related?
MP7: How can you use the graph to help you find another quantity?
Reaching Consensus
*MP3: Do you agree/disagree with what said?
Student Presentations
*MP6: How do you know your answers are correct/reasonable?
Copyright © Swun Math Grade 6 Unit 5 Lesson 15 P SJ