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.


Apply and extend previous understandings of arithmetic to
algebraic expressions.





Write and evaluate
numerical expressions involving wholenumber exponents.




Write, read, and
evaluate expressions in which letters stand for numbers.

Write expressions
that record operations with numbers and with letters standing for numbers.
For example, express the calculation “Subtract y from 5” as 5 – y.




Identify parts of
an expression using mathematical terms (sum, term, product, factor, quotient,
coefficient); view one or more parts of an expression as a single entity. For
example, describe the expression 2 (8 + 7) as a product of two factors; view
(8 + 7) as both a single entity and a sum of two terms.




Evaluate
expressions at specific values of their variables. Include expressions that
arise from formulas used in realworld problems. Perform arithmetic
operations, including those involving wholenumber exponents, in the
conventional order when there are no parentheses to specify a particular
order (Order of Operations). For example, use the formulas V = s3 and A = 6
s2 to find the volume and surface area of a cube with sides of length s =
1/2.



Apply the properties
of operations to generate equivalent expressions.

For example, apply
the distributive property to the expression 3 (2 + x) to produce the
equivalent expression 6 + 3x; apply the distributive property to the
expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply
properties of operations to y + y + y to produce the equivalent expression
3y.



Identify when two
expressions are equivalent (i.e., when the two expressions name the same
number regardless of which value is substituted into them).

For example, the
expressions y + y + y and 3y are equivalent because they name the same number
regardless of which number y stands for. Reason about and solve onevariable
equations and inequalities.

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