Domain – Expressions and Equations
Cluster (Basic Idea)
 Use properties to generate equivalent expressions.
 Solve real-life and mathematical problems using numerical and algebraic
expressions and equations.
Prior Knowledge
 Properties – Commutative, Associative, Identity, Distributive, Zero, Inverse
 Order of Operations
 Absolute value
 Conversions between fractions, decimals and percents
 Operations with rational numbers
New Knowledge
 Order of operations applies to all rational numbers
 Properties can be used to simplify and generate equivalent expressions
 Combining like terms
 Coefficients aid in the understanding of the situations
 Understanding percents over 100
 Writing equivalent expressions
 Solve multi-step problems with rational numbers
 Assess reasonableness of answers using estimation strategies
 Write equations containing variables to represent information given in a problem
 Solve two-step problems
 Make connections between algebraic and arithmetic representations
 Write inequalities containing variables to represent information given in a
problem
 Solve two-step inequalities
 Graph inequalities on a number line
Vocabulary
coefficient
expression
constant
term
factor
equivalent expressions
equation
like terms
inequality
variable
Learning targets
 I can use commutative and associative properties to add linear expressions with
rational coefficients. (C)
 I can use the distributive property to add and/or subtract linear expressions with
rational coefficients. (C)













I can use the distributive property to factor a linear expression with rational
coefficients. (C)
I can use the distributive property to expand a linear expression with rational
coefficients. (C)
I can use equivalent expressions to understand the relationships between
quantities. (B)
I can solve real-world problems using rational numbers in any form, including
those problems involving multiple steps. (C)
I can apply the properties of operations to fluently compute with rational numbers
in any form. (C)
I can use mental math and estimation strategies to determine if my solution is
reasonable. (C)
I can use a variable to represent an unknown quantity. (A)
I can write a simple algebraic equation in the form px + q = r and p(x + q) = r,
where p, q, and r are given rational numbers to represent a real world problem.
(C)
I can solve a simple algebraic equation by using the properties of equality or
mathematical reasoning, and show or explain my steps. (C)
I can compare an arithmetic solution to an algebraic solution. (B)
I can write a simple algebraic inequality in the form px + q < r and px + q > r,
where p, q, and r are given rational numbers to represent a real world problem.
(C)
I can solve a simple algebraic inequality and graph the solution on a number line.
(C)
I can describe the solution to an inequality in relation to the problem. (B)
Pre-Algebra (Integrated Math 7)
Clusters (Basic Ideas)
 Analyze and solve linear equations and pairs of simultaneous linear equations.
Prior Knowledge
 Simplifying expressions
 Vocabulary – terms, like terms, coefficient, constant, variable, solution
 Difference between expressions and equations
 Rational number operations
New Knowledge
 Provide examples of and explain the difference between types of solutions – one
solution, infinitely many solutions, no solutions
Vocabulary
Learning Targets
 I can give examples of linear equations with one solution, infinitely many
solutions, or no solution. (B)
OTHER TOPICS TO BE COVERED DUE TO OLD CONTENT STANDARDS STILL IN
EFFECT FOR SEVENTH GRADE


Patterns - Students will know how to find the next term and describe the process
using words and algebraic notation and be able to distinguish between linear and
non-linear patterns.
Graphing One and Two Variables – Students will solve linear equations with two
variables and graph the equation using ordered pairs and x- and y-intercepts.