Major Cluster Standards

Apply and extend previous
understandings of arithmetic to algebraic expressions.^{2}

6.EE.A.1

Write and evaluate numeric expressions involving
wholenumber exponents.

6.EE.A.2

Write, read, and evaluate
expressions in which letters stand for numbers.
a.
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.
b.
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.
c. 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=𝑠^{3}
and 𝐴𝐴=6𝑠^{2}
to find the volume and surface area of a cube with sides of length .

6.EE.A.3

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.

6.EE.A.4

Identify when two
expressions are equivalent (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.^{3}

6.EE.B.5

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.

6.EE.B.6

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.

6.EE.B.7

Solve realworld and
mathematical problems by writing and solving equations and inequalities in
the form 𝑥+𝑝=𝑞 and px=𝑞 for cases in which 𝑝, 𝑞 and 𝑥 are all nonnegative
rational numbers. Inequalities will
include <, >, ≤, and ≥.

6.EE.B.8

Write an inequality
of the form 𝑥>𝑐 or 𝑥<𝑐 to represent a constraint or condition in a realworld
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.

Represent
and analyze quantitative relationships between dependent and independent
variables.

6.EE.C.9

Use variables to
represent two quantities in a realworld problem that change in
relationship to one another; write an equation to express one quantity,
thought of as the dependent variable, in terms of the other quantity,
thought of as the independent variable. Analyze the relationship between
the dependent and independent variables using graphs and tables, and relate
these to the equation. For example, in a problem involving motion at
constant speed, list and graph ordered pairs of distances and times, and
write the equation 𝑑=65𝑡 to represent the relationship between distance and time.
