**Unit 4** – Exponents, Order of Operations, prime factorization, properties of operations, evaluating expressions, basic algebra vocabulary

**Exponent**. A little number that tells you how many times you multiply a number by itself.

Ex. 8 = 2^{3}

**Order of Operations **

When evaluating algebraic expressions, we must follow a certain order of operations to obtain the right answer.

“PEMDAS”. (Acronym) It stands for “Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction”

**Vocabulary:**

**Expression. **A mathematical sentence built up from constants, variables, and the algebraic operations

**Evaluate an expression. **Substitute numbers for the variables and follow the operation symbols to find the numerical value of the expression.

**Equation. **A mathematical sentence that equates one expression to another expression.

**Equivalent expressions. **Expressions that have the same value but are represented in a different format using the properties of numbers*.*

**Inequality. **A sentence that states one expression is greater than or equal to, less than, less than or equal to another expression.

**Essential Questions:**

- When are exponents used and why are they important?
- How can an equation or inequality be used to represent a given situation?
- What is Order of Operations?

**Learning Targets:**

-Explain the difference between an expression and an equation.

-Write numerical expressions involving whole-number exponents. -Evaluate numerical expressions involving whole-number exponents.

-Translate words into expressions.

-Read expressions using appropriate mathematical terms.

-Evaluate expressions using the order of operations.

-Use the properties of operations to create equivalent expressions.

-Identify equivalent expressions

Reason about and solve one-variable equations and inequalities

-Explain what an equation and inequality represent.

-Determine whether a given number makes an equation or inequality true.

-Explain what a variable represents.

-Use variables to solve problems involving expressions.

-Write equations to represent real-world problems.

-Solve one-step equations involving positive numbers.

-Explain the differences between an equation and an inequality.

-Write an inequality to represent a real-world problem.

-Identify multiple solutions to an inequality.

-Represent solutions of inequalities on a number line.