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aRCR/SGrade 5 student expectation - Free math resourcesVideoVideoVideoVideoVideoVideoVideoVideo
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5.2A1Srepresent the value of the digit in decimals through the thousandths using expanded notation and numeralsExpanded Notation
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5.2B1Rcompare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =Compare and Order DecimalsOrdering Lists
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5.2C1Sround decimals to tenths or hundredthsRounding DecimalsRounding Mystery Numbers
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5.3A2Sestimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or divisionEstimation with Four Operations
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5.3B2Smultiply with fluency a three-digit number by a two-digit number using the standard algorithmMultiply 3-Digit by 2-Digit
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5.3C2Ssolve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithmDivision with 2-Digit DivisorsDivision Word Problems
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5.3D2Srepresent multiplication of decimals with products to the hundredths using objects and pictorial models, including area modelsDecimal Multiplication with Area ModelsRepresenting Decimal Multiplication
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5.3E2Rsolve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbersMultiplying Decimals
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5.3F2Srepresent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area modelsDecimal Division with ModelsRepresenting Decimal Division
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5.3G2Rsolve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithmDividing DecimalsUnderstanding Decimal Division
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5.3H2Srepresent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operationsAdd and Subtract Fractions with ModelsRepresenting Fraction Operations
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5.3I2Srepresent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area modelsMultiplying Whole Numbers and Fractions with Models
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5.3J2Srepresent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area modelsDividing Unit Fractions and Whole Numbers with Models
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5.3K2Radd and subtract positive rational numbers fluentlyAdding and Subtracting DecimalsAdding FractionsAdding Mixed NumbersSubtracting FractionsSubtracting Mixed NumbersChanging Mixed Numbers to Improper FractionsChanging Improper Fractions to Mixed NumbersEquivalent Fractions and Simplifying
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5.3L2Rdivide whole numbers by unit fractions and unit fractions by whole numbersDividing Whole Numbers and Unit Fractions
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5.4A1Sidentify prime and composite numbersIdentifying Prime and Composite Numbers
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5.4B2Rrepresent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantityRepresenting and Writing Equations for Multi-Step Problems
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5.4C2Rgenerate a numerical pattern when given a rule in the form y = ax or y = x + a and graphGenerating Additive PatternsGenerating Multiplicative Patterns
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5.4D2Srecognize the difference between additive and multiplicative numerical patterns given in a table or graphGraphing Additive PatternsGraphing Multiplicative PatternsRecognizing Patterns in Tables
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5.4E1Sdescribe the meaning of parentheses and brackets in a numeric expressionSimplifying Expressions Order of OperationsDescribing Parentheses
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5.4F1Rsimplify numerical expressions that do not involve exponents, including up to two levels of groupingSimplifying Expressions Order of OperationsCreating Number Sentences
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5.4Guse concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh)Equations for Volume
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5.4H3Rrepresent and solve problems related to perimeter and/or area and related to volumeArea and PerimeterSolving for Volume
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5.5A3Rclassify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and propertiesClassifying 2D ShapesClassifying Triangles
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5.6A3Srecognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possibleVolume
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5.6B3Sdetermine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the baseVolumeLayers and Volume
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5.7A3Ssolve problems by calculating conversions within a measurement system, customary or metricUnit Conversions
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5.8A3Sdescribe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the originAttributes of a Coordinate Grid
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5.8B3Sdescribe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate planeAttributes of a Coordinate Grid
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5.8C3Rgraph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output tableGraphing on a Coordinate PlaneGraphing from a TableSpecial Graphing Challenges
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5.9A4Srepresent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plotsDot Plots and Stem-and-Leaf Plots
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5.9B4Srepresent discrete paired data on a scatterplotScatterplots
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5.9C4Rsolve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplotSolving Dot Plot ProblemsSolving Stem-and-Leaf Plot ProblemsSolving Scatterplot ProblemsSolving Bar Graph Problems
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5.10A4Sdefine income tax, payroll tax, sales tax, and property taxPersonal Financial Literacy - Taxes
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5.10B4Sexplain the difference between gross income and net incomePersonal Financial Literacy - Income and Payments
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5.10Cidentify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic paymentsPersonal Financial Literacy - Income and Payments
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5.10Ddevelop a system for keeping and using financial records
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5.10E4Sdescribe actions that might be taken to balance a budget when expenses exceed incomePersonal Financial Literacy - Budget
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5.10F4Sbalance a simple budgetPersonal Financial Literacy - Budget