Copyright © Swun Math Grade 6 Unit 5 Lesson 14 C SJ
MPs
Applied MP
* Embedded MP
Conceptual Lesson
Grade 6 · Unit 5 · Lesson 14
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 (t-
chart).
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 14 C 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. Students earn 5 points for every correct answer.
How many points would a student earn if they answered 13 questions
correctly?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 14 C SJ
/
2. Corn grows an average of 4 inches per day.
What is the total height grown in 21 days?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 14 C 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. A carwash charges $7.50 per car.
How much money would be earned if 5 cars were washed?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 14 C SJ
2. The farmers market charges $2.25 per pound of oranges.
What is the cost of 5 pounds of oranges?
Equation:
____________
Independent Variable
(x-axis)
____________
Dependent Variable
(y-axis)
Copyright © Swun Math Grade 6 Unit 5 Lesson 14 C SJ
Recap today’s lesson with one or more of the following questions:
MP2: Describe the relationship between the two variables.
MP3: Justify why
____
is the dependent/independent variable.