3rd Grade Skills

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  • Addition
    • Basic Addition
      • Add whole numbers, one digit
      • Add positive integers, addends from three to nine
      • Add positive integers
      • Add positive integers, up to two digits
      • Add two- & three-digit whole numbers
      • Add three- & four-digit whole numbers
      • Condensed: Add four-digit & three- or four-digit whole numbers
      • Add four-digit whole numbers
    • Application of Addition
      • Add whole numbers, up to two digits, real-world context
      • Add three- & four-digit whole numbers, real-world context
      • Add four-digit whole numbers, real-world context
  • Subtraction
    • Basic Subtraction
      • Subtract positive integers, positive difference
      • Subtract positive integers, two-digit & one-digit
      • Subtract positive integers, up to two digits, positive difference
      • Subtract whole numbers, three-digit & two- or three-digit
      • Subtract whole numbers, three- or four-digit & two- to four-digit
      • Subtract whole numbers, four-digit & three-digit
      • Subtract whole numbers, four-digit & three-digit
      • Condensed: Subtract whole numbers, four-digit & three- or four-digit
      • Subtract whole numbers, four-digit & four-digit
    • Application of Subtraction
      • Subtract whole numbers, three-digit & two- or three-digit, real-world context
      • Subtract whole numbers, four-digit & three- or four-digit, real-world context
  • Multiplication
    • Basic Multiplication Facts
      • Multiply 1 & one-digit whole numbers
      • Multiply 2 & one-digit whole numbers
      • Multiply 3 & one-digit whole numbers
      • Multiply 4 & one-digit whole numbers
      • Multiply 5 & one-digit whole numbers
      • Multiply 6 & one-digit whole numbers
      • Multiply 7 & one-digit whole numbers
      • Multiply 8 & one-digit whole numbers
      • Multiply 9 & one-digit whole numbers
      • Multiply one-digit whole numbers
    • Modeling Multiplication
      • Multiply whole numbers, area models, one-digit factors
      • Multiply whole numbers, equal-sized groups, one-digit factors
      • Multiply whole numbers, arrays, one-digit factors
      • Multiply whole numbers, various models, one-digit factors
      • Determine total number of objects in equally-sized arrays, including two-digit multiples of 10
      • Determine total number of objects in equally-sized arrays, up to 10 by 10
      • Identify models representing one-step multiplication expressions, real-world context
    • Basic Multiplication
      • Multiply multiples of 10 & one-digit whole numbers
      • Multiply whole numbers, two-digit & one-digit
    • Application of Multiplication
      • Multiply whole numbers, one-digit factors, real-world context
      • Multiply multiples of 10 & one-digit whole numbers, real-world context
      • Multiply whole numbers, two-digit & one-digit, real-world context
      • Apply commutative property of multiplication
      • Apply associative property of multiplication
      • Interpret multiplication expression as comparison
  • Division
    • Modeling Division
      • Determine equivalence between arrays & division equations, dividends up to 50
      • Determine equivalence between arrays & division equations
      • Identify models representing one-step division expressions, real-world context
    • Basic Division
      • Divide whole numbers, up to two-digit dividend, divisor up to ten
    • Application of Division
      • Divide whole numbers, dividend up to 50, real-world context
      • Divide whole numbers, divisor up to 10, quotient up to 10, real-world context
      • Determine quotient using relationship between multiplication & division, divisor up to 10, quotient up to 10, real-world context
      • Determine quotient using relationship between multiplication & division, dividend up to 50, real-world context
  • Mixed Operations
    • Modeling Mixed Operations
      • Evaluate one-step addition & subtraction expressions, strip diagrams, including real-world context
      • Evaluate one-step addition & subtraction expressions, number lines, including real-world context
      • Evaluate two-step addition & subtraction expressions, strip diagrams, including real-world context
      • Evaluate two-step addition & subtraction expressions, number lines, including real-world context
      • Identify models representing two-step numerical expressions, real-world context
      • Identify situations modeled by numerical equations
    • Application of Mixed Operations
      • Add or subtract whole numbers, two-step, real-world context
      • Multiply or divide whole numbers, one-digit factors, including addition & subtraction, real-world context
      • Solve two-step numerical equations, real-world context
    • Determining Unknown Number or Symbol in Equations
      • Determine unknown whole number in multiplication & division equations
      • Determine unknown whole number in multiplication & division equations, dividend up to 50, product up to 100
      • Determine two-step equation representations with unknown, including graphs, real-world context
      • Identify missing symbol to make number sentence true
  • Comparing & Ordering
    • Compare whole numbers up to 10,000
    • Order whole numbers up to 10,000
    • Compare & order whole numbers up to 10,000, real-world context
    • Compare whole numbers up to 100,000
    • Order whole numbers up to 100,000
    • Compare & order whole numbers up to 100,000, real-world context
  • Rounding & Estimating
    • Round whole numbers to nearest ten
    • Round whole numbers to nearest hundred
    • Round whole numbers to nearest thousand
    • Estimate sums of whole numbers, up to three digits, including real-world context
    • Estimate differences of whole numbers, up to three digits, including real-world context
    • Estimate sums & differences of whole numbers by rounding to specified place values
  • Number Lines
    • Identify whole numbers on number lines, base-10 increments
    • Plot whole numbers on number lines, base-10 increments
    • Identify or plot fractions or determine lengths on number lines, increments of eighths
    • Identify & interpret whole numbers on number lines, base-10 increments, real-world context
  • Number Sense
    • Place Value
      • Identify place value of specific digit, up to six digits
      • Identify equivalent numerical & place-value representations
      • Given place-value model, identify number
      • Identify equivalent base-10 models
    • Expanded & Standard Number Forms
      • Determine equivalent representations of standard & expanded notations, whole numbers up to 100,000
      • Convert between standard & expanded notations, whole numbers
      • Convert between standard & expanded notations, whole numbers, real-world context
      • Convert between standard & expanded notation, fraction expansions, including real-world context
      • Convert between word, standard, & expanded notation, fraction expansions, including real-world context
    • Word Number Forms
      • Given whole number in word form, determine standard notation, up to 100,000
      • Convert numbers to word form, up to 100,000
    • Even & Odd Numbers
      • Identify even & odd numbers
      • Identify even & odd numbers, real-world context
      • Determine even & odd numbers using divisibility
    • Divisibility Rules
      • Apply divisibility rules to two-digit dividends, divisor 2, 5, 10
      • Apply divisibility rules to two-digit dividends, divisor 2, 3, 4, 5, 6, 9, 10
  • Fractions
    • Representing Fractions
      • Identify fractions on number line, unreduced, denominators 2, 3, 4, 6, 8
      • Given various models, determine fraction, denominators 2, 3, 4, 6, 8
      • Determine partitioning of objects as fraction, denominators 2, 3, 4, 6, 8
      • Identify fractions on strip diagrams
      • Given unit fraction model, determine parts in whole
    • Equivalent Fractions
      • Determine equivalent fractions, strip diagrams, denominators 2, 3, 4, 6, 8
      • Determine equivalent fractions, area models, denominators 2, 3, 4, 6, 8
      • Determine equivalent fractions, number lines
      • Determine equivalent fraction equations, various models, denominators 2, 3, 4, 6, 8
      • Condensed: Determine equivalent fractions, various models, denominators 2, 3, 4, 6, 8
      • Determine equivalent fractions & whole numbers, denominators 1, 2, 3, 4, 6, 8
      • Determine equivalent fractions, denominators 1, 2, 3, 4, 6, 8, real-world context
      • Determine equivalent fraction equations, area models
    • Comparing Fractions
      • Compare two fractions, area models, denominators 2, 3, 4, 6, 8
      • Compare two fractions, number lines, denominators 2, 3, 4, 6, 8
      • Compare two fractions, strip diagrams, denominators 2, 3, 4, 6, 8
      • Condensed: Compare two fractions, various models, denominators 2, 3, 4, 6, 8
      • Compare two fractions, different denominators, area models
      • Compare two fractions, different denominators, number lines
      • Compare two fractions, different denominators, strip diagrams
      • Compare fractions, different denominators, visual model
      • Compare two fractions, denominators 1, 2, 3, 4, 6, 8
    • Composing & Decomposing Fractions
      • Decompose fractions into sum of fractions, visual models, denominators 2, 3, 4, 6, 8
      • Decompose fractions into sum of fractions
      • Compose unit fractions into sum, denominators 2, 3, 4, 6, 8, real-world context
      • Decompose fractions or mixed numbers into sum of fractions, visual models
    • Addition of Fractions
      • Basic Addition of Fractions
        • Add fractions, common denominators, unreduced
        • Add fractions, common denominators, proper fraction sum
        • Add mixed numbers, common denominators
      • Application of Addition of Fractions
        • Condensed: Add fractions, common denominators, including real-world context
        • Add fractions, common denominators, real-world context
    • Subtraction of Fractions
      • Basic Subtraction of Fractions
        • Subtract fractions, common denominators, unreduced
        • Subtract fractions, common denominators, proper fraction difference
        • Subtract fractions, same denominator, positive difference, including unreduced fractions
      • Application of Subtraction of Fractions
        • Condensed: Subtract fractions, common denominators, including real-world context
        • Subtract fractions, common denominators, real-world context
    • Addition & Subtraction of Fractions
      • Add & subtract fractions & mixed numbers, area models
      • Condensed: Add or subtract fractions, common denominators, unreduced
  • Decimals
    • Representing Decimals
      • Given tenths model, identify decimal
      • Given hundredths model, identify decimal
      • Given hundredths model, identify decimal as monetary amount
      • Determine value of decimal model, including money
    • Comparing & Ordering Decimals
      • Compare decimal models
      • Compare decimal models, up to three models
      • Order decimal models
      • Condensed: Compare or order decimal models
    • Converting Decimals
      • Given model, determine fraction & decimal equivalents, unreduced
    • Addition of Decimals
      • Add decimals, positive, up to two decimal places
      • Condensed: Add decimals, positive, up to two decimal places, including real-world context
      • Add decimals, positive, up to two decimal places, real-world context
    • Subtraction of Decimals
      • Subtract decimals, up to two decimal places
      • Subtract decimals, two decimal places
      • Subtract decimals, up to two decimal places, real-world context
  • Geometry
    • Angles, Lines, & Rays
      • Classify angles from figure
      • Identify characteristics of points, lines, segments & rays from diagrams
    • Parallel & Perpendicular Lines
      • Identify parallel & perpendicular lines in figures
      • Identify parallel & perpendicular lines in figures, real-world context
    • Classifying Figures
      • Classify triangle based on given angle measures
      • Identify & classify quadrilaterals
      • Classify 2D figures
      • Classify 3D figures
    • Perimeter
      • Determine perimeter of rectangles
      • Determine perimeter of polygons, whole numbers
      • Determine side length or perimeter of squares
      • Given perimeter of rectangle & one side, determine dimension
    • Area
      • Determine area of rectangles using unit squares
      • Determine area of rectangles, up to 10 by 10, including real-world context
      • Determine area of composite figures using unit squares, only rectangles
      • Decompose 2D figures into parts with equal areas
    • Perimeter & Area
      • Identify figures with equivalent areas & perimeters using unit squares
  • Patterns
    • Given pattern of shapes, identify shape that completes pattern
    • Given table, determine relationship between input & output
    • Determine missing elements in tables, subtraction
    • Identify or interpret addition & subtraction tables, real-world context
    • Identify or interpret multiplication & division tables, real-world context
    • Identify arithmetic patterns using properties of operations
  • Measurement & Data
    • Customary & Metric Measurement Units
      • Given pictorial model, identify weight or liquid volume
      • Determine applicable unit of measure, real-world context
      • Determine appropriate units or estimated measurement for specified situation
      • Determine appropriate units or estimated measurement for specified situation, weight & volume units
    • Measurement Word Problems
      • Solve one-step problems involving mass & volume, real-world context
    • Ruler Measurement
      • Determine measurement to nearest quarter inch
      • Determine measurement to nearest centimeter
    • Money
      • Round money to nearest dollar
      • Determine value of collection of coins & bills
      • Compare values of collections of coins & bills
      • Make change, up to $5 paid
    • Time
      • Identify analog time
      • Identify analog times before or after hour
      • Identify digital times before or after hour
      • Given time before or after hour, determine digital time
      • Given analog or digital times, determine time passed
      • Given time passed, determine starting or ending time on analog clock, real-world context
      • Given time passed, determine starting or ending time on number line model, real-world context
  • Charts & Graphs
    • Translating Charts & Graphs
      • Identify Bar Graph
        • Given pictograph, determine equivalent bar graph
        • Given table, determine equivalent bar graph
        • Given table, determine equivalent bar graph, including double bar graphs
        • Given pictograph, determine equivalent bar graph, scales 1, 2, 5, 10
      • Identify Pictograph
        • Given table, determine equivalent pictograph, whole numbers
        • Given bar graph, determine equivalent pictograph, scales 1, 2, 5, 10
        • Given table, determine equivalent pictograph
        • Given bar graph, determine equivalent pictograph
      • Identify Frequency Table
        • Given data, identify frequency table
        • Given bar graph, determine equivalent table
        • Given pictograph, determine equivalent table
      • Identify Dot Plot
        • Given data, identify dot plot
        • Determine set of object measurements & equivalent line plot
      • MIxed Charts & Graphs
        • Condensed: Given pictograph, determine equivalent bar graph or table
        • Condensed: Given table, determine equivalent bar graph or pictograph
        • Condensed: Given bar graph, determine equivalent table or pictograph
        • Condensed: Determine equivalent visual representations of data
    • Interpreting Charts & Graphs
      • Determine missing component of bar graphs, scales 1, 2, 5, 10, real-world context
      • Determine missing component of pictographs, scales 1, 2, 5, 10, real-world context
      • Solve problems involving dot plots
      • Solve problems from pictographs, no fractions, scales 1, 2, 5, 10, real-world context
      • Solve problems from bar graphs, no fractions, scales 1, 2, 5, 10, real-world context
      • Add or subtract whole numbers from various data displays
      • Solve problems involving interpretation of various visual diagrams
  • Financial Literacy
    • Identify financial decisions involving income, spending, saving, & giving
    • Identify benefits of savings plans
    • Identify relationship between supply & cost
    • Identify impacts of planned & unplanned spending
    • Identify impacts of interest when using credit
    • Identify connection between income & human capital