Unit 6  Expressions, Equations, and Inequalities
Learning Outcomes
• Use the order of operations to simplify numerical expressions
• Apply the properties of real numbers to simplify numerical expressions • Identify examples of the following algebraic vocabulary: equation, variable, expression, term, and coefficient • Model and solve onestep equations using a variety of concrete materials • Solve onestep equations, demonstrating the steps algebraically • Write verbal expressions and sentences as algebraic expressions and equations 
Essential Questions
• What is the importance of operational relationships when solving equations?
• What are some ways that equality is demonstrated when solving for a variable? • What strategies can be used to determine what numbers on the number line satisfy an inequality? 
Unit Vocabulary
Algebra
operational relationship numerical expression linear equation Order of Operations equivalence/equality inequality 
integers
isolate simplify expression coefficient variable constant term 
Properties:
Associative Property Commutative Property Distributive Property Identity Property Addition Property of Zero, Multiplication Property of Zero, Property of Equality 
Algebra

Operational relationships

the system/order that addition, subtraction, multiplication, and division relate to each other

Numerical expression

a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.

Linear Equations

A linear expression is a mathematical statement defining an equality.
linear expression usually has a dependent variable and an independent variable. It contains an equality sign, signifying a balance between the left hand side and the right hand side of the equation. To solve a linear expression as many equations are required as there may be variables. 
Order of Operations

The rules that say which calculation comes first in an expression.
PEMDAS • do everything inside parentheses first: () • then do exponents, like x2, x3 etc • then do multiplies and divides from left to right • then do the adds and subtracts from left to right 
Equivilance

the condition of being equal or equivalent in value, worth, function, et

Inequalities

the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

integers

a whole number; a number that is not a fraction. (+, )

Isolate

The action taken to move all variables to one side of an equation and the constants to the other side.

Simplify

The action that combines variables and constants, first on each side of an equation/expression, then across the equal sign to solve the equation.

Properties

Visit MathAids.com for an awesome worksheet on the various propertied
