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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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