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Foundations IVFoundations VFoundations VIFoundations VII (Pre-Alg Accl is Foundations 7 & 8)
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Number OperationsNumber OperationsNumber Operations
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Read and Write Numbers to One MillionExtend Place Value to Include Decimal PlacesUnderstand, Compare, and Order Integers***Integer Operations
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Compare and Round MultiDigit NumbersRead, Write, Round, and Compare DecimalsAbsolute Value and DistanceOperations with Negative Fractions and Mixed Numbers
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Add, Subtract, Multply, and Divide MultiDigit NumbersAdding and Subtracting DecimalsMultiply and Divide Multi-Digit Whole Numbers
Solve Percent Problems (percent proportion and percent equation)
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Multiplying and Dividing by Multiples of Tens MentallyEstimating Sums, Differences, Products, and Quotients of DecimalsDivide by Fractions and Mixed NumbersClassify Numbers
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Mental Multiplication StrategiesMultiply and Divide Multi-Digit Whole NumbersUnderstanding Ratios, Equivalent Ratios, and Ratio Problems
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Estimating Sums, Differences, Products, and QuotientsUnderstand Powers and ExponentsUnderstanding Rates and Unit Rates
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Understanding RemaindersEstimate Products of Multi-Digit FactorsUnderstanding Percents, Percents > 100% and < 1%
*** Pre-Alg Accel students need to master this before school starts
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Finding Equivalent FractionsMultiply DecimalsRelate Percents, Decimals, and Fractions
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Adding and Subtracting Fractions and Mixed NumbersDividing with Two Digit DivisorsFind the Percent of a Number
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Multiply Fraction by a Whole NumberDividing Decimals by Whole Numbers and Decimals
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Understanding DecimalsAdding and Subtracting Fractions and Mixed Numbers
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Multiplying a Fraction by a Fraction
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Multiplying Mixed Numbers
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Dividing a Fraction by a Whole Number
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Equations and FunctionsEquations and FunctionsEquations and Functions
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Identify, Generate, and Analyze Number PatternsUnderstanding and Using the Coordinate PlaneThe Coordinate Plane and Reflection of a PointProportional Relationships (equations, tables, graphs)
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Find Factors and MultiplesWriting, Interpreting, and Evaluating Numerical ExpressionsWriting, Interpreting, and Evaluating Numerical ExpressionsSimple motion problems (d=rt)
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Identifying and Graphing Numerical PatternsIdentify and Write Equivalent ExpressionsAdd and Subtract and Factor Linear Expressions
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Solve One Step Equations***Solve Two Step Equations (incl. with distribution and fractions)
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Understand Inequalities***Solve One Step and Two Step Inequalities
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Explore Relationships Between Two VariablesClear fractions to rewrite equation without fractions
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Data AnalysisData AnalysisData Analysis
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Display and Interpret Line Plots/GraphsAverageGraphical Displays incl. Dot and Box Plots and Histograms***Likelihood and Frequency of Simple Events
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Coordinate GraphsMeasures of Central Tendency: mean, median, mode
Biased and Unbiased Samples, Random Samples, Comparing Populations
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Line PlotsStatistical QuestionsSimulations and Prediction
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OutliersSurvey design
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Likelihood and Frequency of Simple EventsOne-way and Two-Way Frequency Tables
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GeometryGeometryGeometry
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Understand Metric UnitsConvert Customary and Metric UnitsArea of Parallelograms, Triangles, Trapezoids, and Polygons***Vertical and Adjacent Angles
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Understand Customary Units of Weight and CapacityMeasurements on Line PlotsPolygons on a Coordinate Plane***Complementary and Supplementary Angles
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Convert Units of TimeProperties of and Classifying Triangles and QuadrilateralsSurface Area of Prisms and PyramidsMeasure of Angles in Triangles
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Calculating Perimeter and AreaUnderstand the Coordinate PlaneVolume of Rectangular PrismsScale Drawings and Similar Figures
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Classify, Draw, Measure, Add and Subtract Lines and Angles
***Area and Circumference of Circles and Composite Figures
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Identify Lines as Parallel, Perpendicular, or Neither3D Figures
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Classify Polygons and TrianglesVolume of Prisms, Pyramids, and Composite Figures
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Identify and Draw Lines of Symmetry***Surface Area of Prisms, Pyramids, and Composite Figures
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Effect of Dilation on Area and Perimeter
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Problem SolvingProblem SolvingProblem Solving
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Solve Multi-Step ProblemsLook For a PatternPhysical Representations / Act it OutLook for Pattern
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Solve word problemsMake a TableGuess and CheckSystematic Lists
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CUBES Problem Solving StrategySolve word problems and multistep word problemsSolve word problems and multistep word problems***Work Backwards
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Draw a Diagram: Bar Diagrams StrategySolve problems that require higher order thinkingSolve problems that require higher order thinkingSolve multistep word problems
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Solve open-ended problemsSolve open-ended problemsSolve problems that require higher order thinking
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Solve open-ended problems
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Matrix Logic
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Math FluencyMath FluencyMath Fluency
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Round Multi-Digit Whole NumbersDivisibility RulesAbsolute Value***Adding and Subtracting Integers at 1 every 5 seconds
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Multiplication and Division for 1-10; 1 every 5 secondsArea and Perimeter Formula for Rectangles and TrianglesOrdering Integers***Multiplying and Dividing Integers at 1 every 3 seconds
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Multiplication and Division for 1-12; 1 every 5 secondsConversions between Decimals, Fractions, and Percents***Calculate the percent of a number (tax, discount, etc...)
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Multiplication and Division for 13-15; 1 every 5 secondsClassify Numbers
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HistoryHistoryHistory
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Numbers in Ancient TimesHistory of the Coordinate Plane
Egyptian Fractions; History of Fraction Representation and Calculation
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Ancient Multiplication
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The First Adding Machines
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Ancient Number Bases
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PhilosophyPhilosophyPhilosophy
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Explore: What is Mathematics? In the World Around UsExplore: What is Mathematics? In the World Around UsExplore: What is Mathematics? In the World Around UsExplore: What is Mathematics? In the World Around Us
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Portfolio ProjectsPortfolio ProjectsPortfolio Projects
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TangramsDecimalsPatterns in Converting Fractions to DecimalsWho Uses Math
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Patterns in NumbersFibonacci SequencePascal NumbersPersonal Finance Project
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Fraction FrenzyArea and Volume DiscoveryEquations and BalancesCircumference
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MeasurementsConsumer MathAreas and Surface Areas
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Bases Other Than 10Coordinate Plane ArtPersonal Finance
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Divisibility Rules
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ScholarshipScholarshipScholarship
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Collaborate with Classmates on class assignmentsCollaborate with Classmates on class assignmentsCollaborate with Classmates on class assignments
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Notetaking: Interactive Notebooks and FoldablesNotetaking: Interactive Notebooks and FoldablesNotetaking: Interactive Notebooks and Foldables
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