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Unit 3 Equal or Not

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**Unit Essential Questions:**

How can algebraic expressions and equations be simplified and evaluated? How can inequalities be used to represent a problem with many solutions?

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Standard(s): M8A1: Students will use algebra to represent, analyze and solve problems. M8A2: Students will understand and graph inequalities in one variable.

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**Concept 1: Variables/Expressions/Properties**

Lesson Essential Questions: How are verbal models translated to algebraic expressions and equations? How can you evaluate expressions? (revisited) How can you identify properties?

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**Vocabulary 1: Variable Expression-Algebraic & Numerical**

Sum/Product/Quotient Evaluate Substitute Order of Operations Open Sentence Equation Property Counter Example

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**Concept 2: One Step Equations**

Lesson Essential Questions: How are inverse operations used to solve one-step equations including absolute values? How are equations with rational numbers solved? How are problems solved using the percent equation?

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**Concept 3 : Multi-Step Equations**

Lesson Essential Questions: How are expressions simplified by combining like terms? How are inverse operations used to solve two-step equations? How does the distributive property help to simplify expressions?

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**Vocabulary 3: Like Terms Coefficient Constant Term**

Distributive property Simplest form Equivalent expressions Simplifying the expression

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**Concept 4: Solving Equations and Formulas**

Lesson Essential Question: 1. How do you solve equations for one variable?

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**Concept 5: Inequalities**

Lesson Essential Questions: What are inequalities? How can an inequality be graphed on a number line? How are inequalities written given verbal information?

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**Concept 6: Solving/Graphing Inequalities**

Lesson Essential Questions: How are inverse operations used to solve inequalities? When should the sign be reversed in solving inequalities? How can the solution of an inequality be graphed on a number line?

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