Teching the CCCS for Grade 6 Mathematics
STRAND

CPI

SKILLS

Resources

Expressions & Equations

The
goal:
Students
will be able to apply and extend previous understandings of arithmetic to
algebraic expressions, reason about and solve onevariable equations and
inequalities, and represent and analyze quantitative relationships between
dependent and independent variables.

More
specifically, students will understand the use of variables in mathematical
expressions. They write expressions and equations that correspond to given
situations, evaluate expressions, and use expressions and formulas to solve
problems. Students will understand that expressions in different forms can be
equivalent, and they will use the properties of operations to rewrite
expressions in equivalent forms. Students will learn that the solutions of an
equation are the values of the variables that make the equation true.
Students will use properties of operations and the idea of maintaining the
equality of both sides of an equation to solve simple onestep equations.
Students will construct and analyze tables, such as tables of quantities that
are in equivalent ratios, and they use equations (such as 3x = y) to describe
relationships between quantities.


Reason about and solve onevariable
equations and inequalities.


Understand solving an equation or inequality
as a process of answering a question: which values from a specified set, if
any, make the equation or inequality true? Use substitution to determine
whether a given number in a specified set makes an equation or inequality
true.

1
Step Equations (add and subtract)
1
Step Equations (divide)


Use variables to represent numbers and write
expressions when solving a realworld or mathematical problem; understand
that a variable can represent an unknown number, or, depending on the purpose
at hand, any number in a specified set.


Solve realworld and mathematical problems
by writing and solving equations of the form x + p = q andpx = q for
cases in which p, q and xare all
nonnegative rational numbers.


Write an inequality of the form x > cor x < c to
represent a constraint or condition in a realworld or mathematical problem.
Recognize that inequalities of the form x > c or x<
c have infinitely many solutions; represent solutions of such inequalities on
number line diagrams.

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