# 6th Grade Math Unit 3 State of Georgia

MGSE6.EE.1 Write and evaluate expressions involving whole-number exponents.

MGSE6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.

MGSE6.EE.2a 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.

MGSE6.EE.2b 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.

MGSE6.EE.2c Evaluate expressions at specific values of their variables. Include expressions
that arise from formulas used in real-world problems. Perform arithmetic operations, including
those involving whole-number 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 = 6𝑠2 to find the volume and surface area of a cube with sides of length 𝑠 = 1
2
.
MGSE6.EE.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.

MGSE6.EE.4 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.

MGSE6.NS.4 Find the common multiples of two whole numbers less than or equal to 12 and the
common factors of two whole numbers less than or equal to 100.
a. Find the greatest common factor of 2 whole numbers and use the distributive property to
express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of
two whole numbers with no common factors. (GCF) Example: 36 + 8 = 4(9 + 2)
b. Apply the least common multiple of two whole numbers less than or equal to 12 to solve
real-world problems.

MGSE6.EE.2a Translating words into algebraic expressions

Words into algebraic expressions

Vocabulary of Algebraic Expressions

MGSE6.NS.4 Greatest Common Factor/Distributive Property

Find the Greatest Common Factor | Cake Method |

Find the GCF and LCM of three or more numbers

Find the highest common factor

Using the distributive property

MGSE6.EE.3 Equivalent Expressions

Equivalent Expressions