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### Unit 1 - Expressions, Equations, & Inequalities

 Common Core Standards: A.SSE.1.a - (interpret parts of an expression)A.SSE.2 - (rewriting expressions based on the structure of the expression)A.APR.1 - (adding and subtracting polynomials)A.CED.1 - (ceate equations and inequalities in one variable, and use to solve problems.)A.CED.3 - (represent constraints on linear equations and inequalities in the context of the problem)A.CED.4 - (rearrange formulas to isolate a certain variable)A.REI.1 - (explain each step in solving an equation)A.REI.3 - (solve equations and inequalities in one variable)Embedded Standards (to be infused through ALL units of study):N.Q.1 -  (choose and interpret units in understand problems and guide solution paths)N.Q.2 -  (define appropriate quantities in context)N.Q.3 -  (choose a level of accuracy appropriate to limitations on measurements)*Each standard is linked to www.shmoop.com - where the standards are explained in more detail, with a few examples provided.Pre-Requisite Standards: 6.EE.2, 6.EE.3, 6.EE.4, 6.EE.6, 6.EE.7, 6.EE.87.NS.1.d, 7.NS.2.c, 7.NS.2.d, 7.NS.3, 7.EE.1, 7.EE.3, 7.EE.4.a, 7.EE.4.b8.NS.1, 8.EE.7.bAllotted Time Frame: 11 days (including test day)Learning Targets: "I can..."manipulate fractions and decimals, and convert between fractions and decimals.model and solve real-world and mathematical problems involving arithmetic operations with integers. use the order of operations to evaluate expressions with or without grouping symbols and/or exponents.evaluate algebraic expressions using specific values for variables (substitution).read, write, and translate verbal expressions into mathematical and algebraic expressions.create and evaluate expressions to model and solve real-world and mathematical problems.use the properties of equality to simplify algebraic expressions.read, write, and translate verbal expressions into algebraic equations and/or inequalities.write and solve one- and two-step equations in a single variable.write, solve, and graph one- and two-step linear inequalities in a single variable.write and solve multi-step linear equations and inequalities in a single variable.use the properties of equality to explain the solution to a linear equation (algebraic proof).represent and interpret constraints on linear equations and inequalities in context.solve a linear equation and/or formula for a specified variable (literal equations).give examples of linear equations with one solution, no solution, or infinitely many solutions.use linear equations in a single variable to model and solve real-world and mathematical problems, and interpret the meaning of the solution in context.Essential Vocabularyadditive identityadditive inversealgebraic proofassociative propertycoefficientcommon denominatorcommutative propertydecimal expansiondenominatordistributive propertyequationevaluateexpressioninequalityinverse operationsintegerlike termsliteral equationsmultiplicative identitymultiplicative inversenumeratororder of operationsproperties of equalityreplacement setsimplifysolutionsolution setsubstitutionvariableResourcesUnpacking Documents (written by NC DPI)Check Boardworks Presentation Software for ready-made, interactive lessons aligned to the standards!Discovery Education VideosOther Lesson Development Resources