Parent Resource: Relationships between Variables

C2.0 Mathematics 6 Parent Resource
Marking Period 3: Expressions and Equations
Marking Period 3 includes 4 topics of study, listed below. This resource is for Topic 4.
Topic 1
Topic 2
Topic 3
Introducing Algebraic
Expressions
Properties and
Equivalency
Equations and
Inequalities
Topic 4
Relationships
between Variables
Learning Goals by Common Core State Standard
Topic
Relationships between
Variables
Students will be able to...



Represent the relationship between the independent and dependent variables on a table
and a graph.
Write an equation in two variables, created from a real-world problem choosing an
independent variable and dependent variable, and then make a table and a graph.
Analyze the relationship between the dependent and independent variables using graphs
and tables, and relate these to the equation.
Instructional videos in the hyperlinks above are meant to support C2.0 content,
but may use vocabulary or strategies not emphasized by MCPS.
The Common Core State Standards require a balance of three fundamental
components that result in rigorous mathematics acquisition: deep conceptual
understanding, procedural skill, and mathematical applications and modeling.
RIGOR
Deep
Conceptual
Understanding
Relationships
between Variables
Applications
and Modeling
Procedural
Skill
Students will
reason about realworld situations to
analyze the
relationship
between
independent and
dependent
variables.
Students will build
accuracy when
graphing an equation
in two variables.
Students will apply
understandings of
independent and
dependent
variables to graph
equations
representing realworld contexts.
C2.0 Mathematics 6 Parent Resource Page
Marking Period 3: Expressions and Equations
Topic 4: Relationships between Variables
Learning Experiences by Common Core State Standard
In school, your child will…
Topic 4: Relationships between Variables

Identify independent and dependent variables.
Example: The amount of money I make babysitting is
determined by the number of hours I babysit.
o Independent variable: The number of hours I babysit.
(The independent variable does not change because
of the dependent variable. It is independent of the
other variable and changes without the dependent.)
o Dependent variable: The amount of money I make.
(The dependent variable is directly affected by any
changes to the independent variable. If the
independent variable changes the dependent will
change as a result.)

Write an equation in two variables, created from a real-world
problem choosing an independent variable and dependent
variable, and then make a table and a graph.
Example: Marcus is filling his pool to get ready for
summer. He wants to determine the total number of
hours it will take to fill his 10,000 gallon pool.
o He wrote the equation g  500h to represent the
total amount of gallons of water he has added to the
pool.
At home, your child can…

Identify independent and dependent variables in real-world contexts.
o Amount of money spent depends on the number of items
purchased.
o When the laundry is dry is determined by when the dryer starts.
o How much dog barks is dependent on how times people knock on
the door.

Make a plan to save money for a big purchase such as a game system or
a bicycle.
o Determine how much to save each week.
o Write an equation to represent the plan.
o Identify the independent and dependent variable.
o Make a table and a graph.
o Figure out how long it would take to save a specified amount
and how much would be saved in a given timeframe.
Additional Practice
 Identify independent and dependent variables (practice)
 Plotting ordered pairs (game)
 Function Machine (practice)
 Independent and dependent variables (video)
 MP3 Topic 4 Relationships Between Variables (flexbook)
Additional Practice links support C2.0 content,
but may use vocabulary or strategies not emphasized by MCPS.