Timeline:
1st/2nd 9
weeks
4 weeks
Vocabular
y:
Algebraic
Expression
Coefficient
s
Evalute
Expand
Factor
Integers
Like Terms
Negative
Integer
Positive
Integer
Ratio
Rational
Substitute
Term
Unlike
Terms
Variables
Unit 3: Expressions
Activities:
New State Standards:
The Number System
7.NS
Apply and extend previous understandings of operations with fractions to add, subtract, multiply,
and divide rational numbers.
3. Solve real-world and mathematical problems involving the four operations with rational numbers.
Concepts and
Skills:
Students will:
 Use order
of
operations
to solve
problems
with
rational
numbers
 Identify
coefficient
s,
variables
and
number of
terms
 Identify
like and
unlike
terms
 Write
linear
expression
s
 Evaluate
expression
s using
substitutio
n
 Perform
operations
on linear
expression
s
 Rewrite
expression
s
 Factor and
Expand
linear
expression
s
Expressions and Equations
7.EE
Use properties of operations to generate equivalent expressions.
1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions
with rational coefficients.
2.
Understand that rewriting an expression in different forms in a problem context can shed light on the
problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that
“increase by 5%” is the same as “multiply by 1.05.”
College Readiness:
(Range 13-15) Basic Operations and Applications: Perform one-operation computation with whole numbers
and decimals
(Range 13-15) Basic Operations and Applications: Solve problems in one or two steps using whole numbers
(Range 16-19) Basic Operations and Applications: Solve routine one-step arithmetic problems (using whole
numbers, fractions, and decimals) such as single-step percent
(Range 16-19) Basic Operations and Applications: Solve some routine two-step arithmetic problems
(Range 13-15) Numbers: Concepts & Properties: Recognize equivalent fractions and fractions in lowest terms
(Range 16-19) Numbers: Concepts & Properties: Recognize one-digit factors of a number
(Range 20-23) Numbers: Concepts & Properties: Exhibit knowledge of elementary number concepts
including rounding, the ordering of decimals, pattern identification, absolute value, primes, and greatest
common factor
(Range 24-27) Numbers: Concepts & Properties: Find and use the least common multiple
(Range 13-15) Expressions, Equations, & Inequalities: Exhibit knowledge of basic expressions (e.g., identify
an expression for a total as b + g)
(Range 16-19) Expressions, Equations, & Inequalities: Substitute whole numbers for unknown quantities to
evaluate expressions
(Range 16-19) Expressions, Equations, & Inequalities: Combine like terms (e.g., 2x + 5x)
(Range 20-23) Expressions, Equations, & Inequalities: Evaluate algebraic expressions by substituting
integers for unknown quantities
(Range 20-23) Expressions, Equations, & Inequalities: Add and subtract simple algebraic expressions
(Range 20-23) Expressions, Equations, & Inequalities: Perform straightforward word-to-symbol translations
(Range 24-27) Expressions, Equations, & Inequalities: Write expressions, equations, or inequalities with a
single variable for common pre-algebra settings (e.g., rate and distance problems and problems that can be
solved by using proportions)
NCTM:
Number and Operations:
 Use factors, multiples, prime factorization, and relatively prime numbers to solve problems
 Develop meaning for integers and represent and compare quantities with them
 Use the associative and commutative properties of addition and multiplication and the distributive
property of multiplication over addition to simplify computations with integers, fractions, and decimals
 Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency
in their use
Algebra:
 Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible,
symbolic rules
 Identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations
 Use symbolic algebra to represent situations and to solve problems, especially those that involve linear
relationships
 Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations
 Model and solve contextualized problems using various representations, such as graphs, tables, and
equations
 Use graphs to analyze the nature of changes in quantities in linear relationships.