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Liberal Arts Mathematics 1 2015 – 2016 Please Note:All standards are designed to be learned by the end of the course. This guide represents a recommended time line and sequence to be used voluntarily by teachers for planning purposes.? Specific questions regarding when content will actually be addressed in a specific course are best answered by the individual teacher. Teachers may use a wide variety of instructional materials throughout their course. The Possible Resources listed may include the district adopted instructional resource or supplemental resources that align to the topic and/or standard. These Possible Resources provide sample problems that align to the topic/standard.Publisher Resource:Other Course Supplemental Resources – by standard and Topic:Quarter 1Aug 10 – Oct 16WeekMajor Concepts / TopicsPossible Resources1Chapter 5 – Number Theory and the Real Number SystemSection 5.2: The Integers; Order of OperationsSection 5.3: The Rational NumbersAssessmentSection 5.2 – Khan AcademySection 5.3 – Khan Academy2Section 5.4: The Irrational NumbersSection 5.5: The Real Numbers and Their Properties; Clock AdditionAssessmentSection 5.4 – Khan AcademySection 5.5 – Khan Academy3Section 5.6: Exponents and Scientific NotationAssessmentSection 5.6 – Khan Academy 4Chapter 6 – Algebra: Equations and InequalitiesSection 6.1: Algebraic Expressions and FormulasSection 6.2: Linear Equations in One Variable and ProportionsSection 6.3: Applications of Linear EquationsAssessmentSection 6.1 – Khan AcademySection 6.2 – Khan AcademySection 6.3 – Khan Academy5Section 6.4: Linear Inequalities in One VariableAssessmentSection 6.4 – Khan Academy6Topic Focus (review of all sections above): Solving Real World Problems with EquationsWord Problems (Linear Equations) – Khan AcademyWord Problems (Linear Inequalities) – Khan Academy7Section 6.5: Quadratic EquationsAssessmentSection 6.5 – Khan Academy8Chapter 7 – Algebra: Graphs, Functions, and Linear SystemsSection 7.1: Graphing and FunctionsSection 7.2: Linear Functions and Their GraphsAssessmentSection 7.1 – Graph from slope – intercept equation Section 7.2 – Graphing linear equations 9Section 7.4: Graphing and shading one inequalitySection 7.4 - Finding the inequality representing the graph10Section 7.4: Graphing and shading two inequalitiesQuarter 1 AssessmentSection 7.4 - Systems of equations, algebraically and graphicallyQuarter 2Oct 19 – Dec 18WeekMajor Concepts / TopicsPossible Resources1Section 7.4: Continue Graphing Equations and InequalitiesAnalyzing solutions to linear systems graphically; Solving systems of equations graphically2Polynomials (Standard MAFS.912.A-APR.1.1)AssessmentSimplify polynomials-Khan AcademyAdd and subtract -Khan Academy3Polynomials ContinuedAssessmentMultiply-Khan AcademyVariable expressions-Khan Academy4Polynomials Overview of Polynomial operations5Chapter 7 – Algebra: Graphs, Functions, and Linear SystemsSection 7.1: Graphing and FunctionsSection 7.2: Linear Functions and Their GraphsAssessmentDomain and Range of FunctionsFunction Notation and Evaluating FunctionsInterpreting GraphsRelating the Domain of a GraphAverage Rate of Change of a Function6Functions Continued7Functions Continued8Functions Continued9Exam WeekQuarter 3Jan 5 – Mar 18WeekMajor Concepts / TopicsPossible Resources1Chapter 7 – Algebra: Graphs, Functions, and Linear SystemsSection7.3: Systems of Linear Equations in Two VariablesBy GraphingBy SubstitutionBy EliminationSolving Systems of EquationsEquivalent systems of EquationsConstraints by Equations or InequalitiesIntersecting FunctionsSystems of Linear Inequalities2Systems of Equations ContinuedAssessmentSOSmath Systems of Equations3Systems of Equations ContinuedAssessmentPurplemath Systems of Equations4Basics of GeometryAssessmentGeometric DefinitionsConstructionsConstructions in a Circle5Basics of Geometry ContinuedAssessment6TransformationsTranslationsReflectionsRotationsReflectionsTranslationsRigid Transformations7Transformations ContinuedRotationsSymmetryRotationsSymmetry of Two-Dimensional Shapes8Transformations Continued DilationsSimilarityDilationsSimilarity and Transformations9Triangles: Congruence and SimilarityPythagorean Theorem, Triangle Sum TheoremCongruent trianglesCongruence postulatesSolving Problems with Similar and Congruence TrianglesPythagorean Theorem10Triangles: Congruence and SimilarityFinding missing lengths with similarity, Using AA SimilaritySimilarity From Corresponding PartsSimilar Triangle Using AASolving Similar Triangles11AssessmentQuarter 4Mar 29 – May 26WeekMajor Concepts / TopicsPossible Resources1Chapter 10 – Geometry (Topics: perimeter and area of figures, including circles)Section 10.3: Polygons, Perimeter, and TessellationsSection 10.4: Area and CircumferenceArea and perimeter of polygonsArea and circumference of circles23D Solids: Nets, Cross-sections and modeling2D Cross-Sections and 3D Objects by Rotation of 2D Objects 3Section 10.5: Volume and Surface AreaDensityWord ProblemsVolume Word Problems with Cones, Cylinders and Spheres Surface and Volume Density Word Problems4Chapter 11 – Counting Methods and Probability TheoryStatisticsMean, Median, ModeMean, Median and ModeStandard DeviationExploring Standard Deviation5Sampling FrequencyDistribution and GraphsInterpreting and Comparing Data DistributionsDot Plots, Histograms, and Box Plots6Measures of DispersionNormal DistributionNormal Distribution7Scatter PlotsCorrelationsRegression LinesAssessmentScatter PlotsEstimating the line of best fit8ReviewLinear models of bivariate data9Assessment ................
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