4th Grade Skills

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  • Whole Numbers
    • Addition of Whole Numbers
      • Basic Addition of Whole Numbers
        • Add whole numbers, one digit
        • Add positive integers, addends from three to nine
        • Add positive integers
        • Add positive integers, up to two digits
        • Add three- & four-digit whole numbers
        • Condensed: Add four-digit & three- or four-digit whole numbers
        • Add four-digit whole numbers
      • Application of Addition of Whole Numbers
        • 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
        • Add five-digit whole numbers, real-world context
        • Condensed: Add whole numbers, up to five digits, real-world context
        • Condensed: Add whole numbers, up to five digits, including real-world context
        • Add five- or six-digit whole numbers, real-world context
    • Subtraction of Whole Numbers
      • Basic Subtraction of Whole Numbers
        • 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- 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
        • Subtract whole numbers, five-digit & four- or five-digit
        • Condensed: Subtract whole numbers, four- to six-digit & two- to five-digit
        • Subtract whole numbers, seven-digit & six- or seven-digit
        • Subtract whole numbers, six- or seven-digit & up to six digits
      • Application of Subtraction of Whole Numbers
        • Subtract whole numbers, five-digit & four- or five-digit, real-world context
        • Subtract whole numbers, six-digit & five- or six-digit, real-world context
        • Subtract whole numbers, seven-digit & six- or seven-digit, real-world context
        • Condensed: Subtract whole numbers, four- to seven-digit & three- to six-digit, including real-world context
        • Condensed: Subtract whole numbers, four- to seven-digit & three- to six-digit, including real-world context
        • Condensed: Subtract whole numbers, four- to seven-digit & three- to six-digit, real-world context
    • Multiplication of Whole Numbers
      • 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 of Whole Numbers
        • Multiply whole numbers using area models, up to four-digit & one-digit
        • Multiply whole numbers by decomposing factors, up to four-digit & one-digit
        • Condensed: Multiply whole numbers using area models or decomposition, up to four-digit & one-digit
        • Multiply whole numbers using area models, two-digit & two-digit
        • Multiply whole numbers by decomposing factors, two-digit & two-digit
        • Condensed: Multiply whole numbers using area models or decomposition, two-digit & two-digit
      • Basic Multiplication of Whole Numbers
        • Multiply whole numbers, two-digit & one-digit
        • Multiply whole numbers, three-digit & one-digit
        • Multiply whole numbers, four-digit & one-digit
        • Condensed: Multiply whole numbers, three- or four-digit & one-digit
        • Multiply multiples of 10 & two-digit whole numbers
        • Multiply whole numbers, both up to 19
        • Multiply whole numbers, two-digit & two-digit
      • Application of Multiplication of Whole Numbers
        • Multiply whole numbers, two-digit & one-digit, real-world context
        • Multiply whole numbers, three-digit & one-digit, real-world context
        • Multiply whole numbers, four-digit & one-digit, real-world context
        • Condensed: Multiply whole numbers, one-digit & up to four-digit, real-world context
        • Multiply whole numbers, two-digit & two-digit, real-world context
        • Condensed: Multiply whole numbers, one- or two-digit & up to four-digit, real-world context
        • Multiply whole numbers, up to four-digit & up to two-digit, real-world context
      • Products of Ten & One Hundred
        • Determine expanded notation or place value representations
        • Multiply 10 & two-digit whole numbers
        • Multiply multiples of 10 & one-digit whole numbers, real-world context
        • Multiply 100 & two-digit whole numbers
        • Multiply multiples of 100 & one-digit whole numbers, real-world context
        • Condensed: Multiply multiples of 10 or 100 & one-digit whole numbers, real-world context
        • Condensed: Multiply whole numbers, two-digit & 10 or 100
        • Condensed: Multiply multiples of 10 or 100 & one- or two-digit whole numbers, including real-world context
      • Multiplicative Comparisons
        • Solve problems involving multiplicative comparisons
        • Solve problems involving multiplicative & additive comparisons
    • Division of Whole Numbers
      • Modeling & Application of Division of Whole Numbers, No Remainders
        • Determine division equations, real-world context 
        • Determine equivalence between arrays & division equations
        • Determine equivalence between area models & division equations
        • Condensed: Determine equivalence between models & division equations
        • Divide whole numbers, two- to four-digit dividend, one-digit divisor, real-world context
        • Divide positive integers, up to four-digit dividend, one-digit divisor, real-world context
        • Divide whole numbers, up to five-digit dividend, up to three-digit divisor, real-world context
      • Basic Division of Whole Numbers, No Remainders
        • 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
        • Divide whole numbers, up to two-digit dividend, divisor up to ten
        • Divide whole numbers, up to three-digit dividend, one-digit divisor
      • Basic Division of Whole Numbers, Remainders
        • Determine quotient & remainder, one-digit dividend, one-digit divisor
        • Determine quotient & remainder as fraction, one-digit dividend, one-digit divisor
        • Determine quotient & remainder, two-digit dividend, one-digit divisor
        • Determine quotient & remainder as fraction, two-digit dividend, one-digit divisor
        • Determine quotient & remainder, three-digit dividend, one-digit divisor
        • Determine quotient & remainder as fraction, three-digit dividend, one-digit divisor
        • Determine quotient & remainder, four-digit dividend, one-digit divisor
        • Determine quotient & remainder as fraction, four-digit dividend, one-digit divisor
      • Application of Division of Whole Numbers, Remainders
        • Divide positive integers, up to four-digit dividend, one-digit divisor, real-world context
        • Determine quotient or remainder, up to four-digit dividend, one-digit divisor, real-world context
    • Mixed Operations of Whole Numbers
      • Diagrams of Mixed Operations of Whole Numbers
        • Solve multi-step problems involving models & whole number operations, initially add, real-world context
        • Solve multi-step problems involving models & whole number operations, initially subtract, real-world context
        • Solve multi-step problems involving models & whole number operations, initially multiply, real-world context
        • Solve multi-step problems involving models & whole number operations, initially divide, real-world context
      • Application of Mixed Operations of Whole Numbers
        • Solve multi-step problems involving whole number operations, initially add, real-world context
        • Solve multi-step problems involving whole number operations, initially subtract, real-world context
        • Solve multi-step problems involving whole number operations, initially multiply, real-world context
        • Solve multi-step problems involving whole number operations, initially divide, real-world context
      • Equations of Mixed Operations of Whole Numbers
        • Solve multi-step problems involving equations & whole number operations, initially add, real-world context
        • Solve multi-step problems involving equations & whole number operations, initially subtract, real-world context
        • Solve multi-step problems involving equations & whole number operations, initially multiply, real-world context
        • Solve multi-step problems involving equations & whole number operations, initially divide, real-world context
    • Rounding & Estimating Whole Numbers
      • Basic Rounding & Estimating Whole Numbers
        • Round whole numbers to nearest ten
        • Round whole numbers to nearest hundred
        • Round whole numbers to nearest thousand
        • Condensed: Round whole numbers to nearest ten, hundred, & thousand
        • Round whole numbers to specified place value, up to hundred-thousand
        • Round whole numbers using front-end rounding
        • Estimate sums & differences of whole numbers by rounding to specified place values
      • Application of Rounding & Estimating Whole Numbers
        • Round whole numbers to nearest ten, real-world context
        • Round whole numbers to nearest hundred, real-world context
        • Round whole numbers to nearest thousand, real-world context
        • Condensed: Round whole numbers to nearest ten, hundred, & thousand, including real-world context
        • Condensed: Round whole numbers to nearest ten, hundred, & thousand, real-world context
        • Estimate sums of whole numbers, up to six digits, including real-world context
        • Estimate sum of rational numbers, round both to nearest whole, real-world context
        • Estimate differences of whole numbers, up to six digits, including real-world context
        • Estimate products of whole numbers, two-digit factor times one-digit factor
        • Estimate quotients of whole numbers, up to six-digit dividend, up to three-digit divisor
        • Condensed: Estimate sums, differences, & products of whole numbers
    • Comparing & Ordering Whole Numbers
      • Compare two positive integers
      • Compare three-digit whole numbers
      • Compare four-digit whole numbers
      • Compare five-digit whole numbers
      • Compare six-digit whole numbers
      • Compare whole numbers up to 1,000,000,000
      • Order whole numbers up to 1,000,000,000, including real-world context
      • Order whole numbers up to 1,000,000,000, real-world context
      • Condensed: Order whole numbers, up to 1,000,000,000, including real-world context
  • Fractions
    • Representing Fractions
      • Given various models, determine fraction, denominators 2, 3, 4, 6, 8
      • Identify fractions on strip diagrams
      • Identify fractions or mixed numbers on decimal grid
      • Identify common fractions or mixed numbers on number line
    • Reducing Fractions
      • Reduce fractions, denominators less than 20
      • Reduce fractions, answer denominators less than 10
      • Reduce fractions, answer denominators less than 30
    • Equivalent Fractions
      • Determine equivalent fractions, number lines
      • Determine equivalent fractions, strip diagrams
      • Determine equivalent fractions, area models
      • Determine equivalent fraction equations, area models
      • Determine equivalent fraction components
      • Identify or determine equivalent fraction components or fractions
    • Converting Fractions
      • Given model, determine fraction & decimal equivalents, unreduced
      • Identify decimal equivalent of fractions, real-world context
      • Condensed: Determine & identify equivalent fractions & decimals, including models, including real-world context
      • Convert improper fractions to unreduced mixed numbers
      • Convert mixed numbers to unreduced improper fractions
    • Comparing & Ordering Fractions
      • Compare two fractions, different denominators, number lines
      • Compare two fractions, different denominators, strip diagrams
      • Compare two fractions, different denominators, area models
      • Compare fractions, different denominators, visual model
      • Compare fractions, denominators less than 10
      • Compare fractions between one-half & one
      • Compare fractions, denominators less than 30
      • Compare fractions, different denominators 
      • Compare fractions, same numerators, denominators differ by one, denominators less than 10,000
      • Order positive fractions
    • Decomposing Fractions
      • Decompose fractions into sum of fractions
      • Decompose fractions into sum of fractions, visual models
      • Decompose fractions or mixed numbers into sum of fractions, real-world context
      • Decompose fractions or mixed numbers into sum of fractions, visual models
      • Condensed: Decompose fractions or mixed numbers into sum of fractions, including visual models & real-world context
      • Decompose fractions or mixed numbers into sum of fractions & determine equivalent fractions & mixed numbers
    • Addition of Fractions
      • Basic Addition of Fractions, Common Denominators
        • Add fractions, common denominators, unreduced
        • Add fractions, common denominators, proper fraction sum
        • Add fractions, common denominators, sums greater than one
        • Add fractions, common denominators, mixed number sum
        • Add mixed numbers, common denominators
      • Application of Addition of Fractions, Common Denominators
        • Condensed: Add fractions, common denominators, including real-world context
        • Add fractions, common denominators, real-world context
      • Basic Addition of Fractions, Different Denominators
        • Given addition expression of two fractions, identify expression using fourths that best estimates sum
        • Add fractions, denominators of 10 & 100
        • Add fractions, different denominators, unreduced
        • Add fractions, one denominator multiple of other, including mixed number sums
        • Add fractions, different denominators, including mixed number sums
        • Add mixed numbers, different denominators
        • Add mixed numbers, different denominators, fractional sum greater than one
    • Subtraction of Fractions
      • Basic Subtraction of Fractions, Common Denominators
        • Subtract fractions, common denominators, unreduced
        • Subtract fractions, same denominator, positive difference, including unreduced fractions
        • Subtract fractions, common denominators, proper fraction difference
        • Subtract mixed numbers, common denominators
      • Application of Subtraction of Fractions, Common Denominators
        • Condensed: Subtract fractions, common denominators, including real-world context
        • Subtract fractions, common denominators, real-world context
      • Basic Subtraction of Fractions, Different Denominators
        • Given subtraction expression of two fractions, identify expression using fourths that best estimates difference
        • Subtract fractions, one denominator multiple of other, proper fraction difference
        • Subtract fractions, different denominators, including mixed number differences
        • Subtract mixed numbers, different denominators
        • Subtract mixed numbers, different denominators, borrowing required
    • Addition & Subtraction of Fractions
      • Modeling Addition & Subtraction of Fractions, Common Denominators
        • Identify expressions that represent addition or subtraction of unreduced fractions modeled on number lines
        • Identify expressions that represent addition or subtraction of unreduced fractions modeled by area models
        • Determine & evaluate expressions representing sums & differences of fractions
        • Add & subtract fractions, area models
        • Add & subtract fractions, various models
        • Add & subtract fractions & mixed numbers, area models
      • Basic Addition & Subtraction of Fractions, Common Denominators
        • Condensed: Add fractions, common denominators, including real-world context
        • Condensed: Add or subtract fractions, common denominators, unreduced
      • Modeling Addition & Subtraction of Fractions, Different Denominators
        • Add & subtract fractions, fraction strips
        • Condensed: Given model, determine or interpret addition & subtraction of fractions
      • Basic Addition & Subtraction of Fractions, Different Denominators
        • Condensed: Add or subtract fractions, different denominators
    • Multiplication of Fractions
      • Modeling Multiplication of Fractions
        • Identify model representation of multiplication of fraction & whole number
      • Basic Multiplication of Fractions
        • Multiply whole numbers & unit fractions, whole number first
        • Multiply whole numbers & unit fractions
    • Division of Fractions
      • Reciprocals
        • Determine reciprocals of whole numbers or fractions
        • Determine equivalent division & multiplication expressions using reciprocals
      • Modeling Division of Fractions
        • Divide whole numbers by unit fractions, number lines
        • Divide whole numbers by unit fractions, models
        • Divide whole numbers & unit fractions, area models
        • Divide whole numbers & unit fractions, fraction strips
        • Condensed: Divide whole numbers & fractions, various models
        • Identify division models & divide unit fractions by unit fractions
      • Basic Division of Fractions
        • Determine representation of fraction as division expression
        • Divide whole numbers by unit fractions
        • Divide whole numbers & unit fractions
  • 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
      • Modeling, Comparing, & Ordering Decimals
        • Compare decimal models
        • Compare decimal models, up to three models
        • Order decimal models
        • Condensed: Compare or order decimal models
      • Basic Comparing & Ordering Decimals
        • Compare decimals up to two decimal places, including real-world context
        • Compare decimals up to two decimal places & justify relationship, including real-world context
        • Compare decimals written in word form, up to three decimal places
        • Compare decimals written in word form, up to four decimal places
        • Compare numbers, up to four-digit whole numbers or three-digit decimals
        • Order positive decimals
        • Order decimals up to 1,000,000,000
      • Application of Comparing & Ordering Decimals
        • Condensed: Compare three- to six-digit whole numbers
        • Compare decimals up to three decimal places
        • Compare decimals up to three decimal places, real-world context
        • Order decimals up to two decimal places, including real-world context
        • Order decimals up to three decimal places, including real-world context
        • Condensed: Compare or order decimals, up to three decimal places, including real-world context
        • Compare & order decimals up to 1,000,000,000, real-world context
    • Converting Decimals
      • Convert decimals to fractions, unreduced 
      • Convert decimals to unreduced fractions, real-world context
      • Convert decimals to mixed numbers, unreduced
      • Given model, determine fraction & decimal equivalents, unreduced
      • Condensed: Determine & identify equivalent fractions & decimals, including models, including real-world context
    • Addition of Decimals
      • Basic Addition of Decimals
        • Add decimals, positive, up to two decimal places
      • Application of Addition of Decimals
        • 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
      • Basic Subtraction of Decimals
        • Subtract decimals, up to two decimal places
        • Subtract decimals, two decimal places
      • Application of Subtraction of Decimals
        • Subtract decimals, up to two decimal places, real-world context
        • Condensed: Subtract decimals, up to two decimal places, including real-world context
        • Make change
    • Addition & Subtraction of Decimals
      • Condensed: Add & subtract decimals, up to two decimal places
      • Condensed: Add & subtract decimals, up to two decimal places, including real-world context
      • Add & subtract decimals, up to two decimal places, real-world context
      • Condensed: Add & subtract decimals, up to two decimal places, real-world context
  • Number Lines
    • Given range & increment, identify blank number line
    • Identify decimals on number lines, vertical number lines, positive
    • Identify common fractions or mixed numbers on number line
    • Determine location of rational numbers on number line
    • Identify or plot decimals on number lines, increment 0.5
    • Identify or plot decimals on number lines, increment 0.1
    • Identify or plot decimals on number lines, increment 0.2
    • Identify or plot decimals or determine lengths on number line, increment 0.01
    • Plot decimals on number lines, increment 0.1 or 0.01
    • Condensed: Identify or plot decimals on number lines
    • Condensed: Identify or plot decimals or fractions on number lines
    • Identify or plot fractions or determine lengths on number line
  • Number Sense
    • Place Value
      • Basic Place Value
        • Identify place value of specific digit
        • Identify place value of specific digit, decimals
        • Determine numerical value of specific digit
      • Application of Place Value
        • Determine values of digit in hundreds place, including comparison to other place values
        • Determine values of digit in thousands place, including comparison to other place values
        • Determine values of digit in ten-thousands place, including comparison to other place values
        • Determine values of digit in hundred-thousands place, including comparison to other place values
        • Condensed: Determine values of specific digits, including comparison to other place values
        • Determine product of number & power of 10
        • Identify whole numbers with specific digit equal to digit to right divided by 10, expanded notation
        • Identify numbers with specific digit equal to digit to right divided by 10, standard notation
        • Identify numbers with hundredths value equal to ones value divided by 100
        • Identify numbers with specific digit equal to 10 times digit to right
        • Identify numbers with ones digit equal to 100 times hundredths digit
        • Identify numbers with specific digit equal to digit to right divided by 10, 100, or 1,000
    • Number Forms
      • Expanded Number Forms
        • Determine equivalent representations of standard & expanded notations, whole numbers
        • Convert between standard & expanded notations, whole numbers
        • Convert between standard & expanded notations, whole numbers, real-world context
        • Condensed: Convert between standard & expanded notations, including place value words
        • Determine equivalent representations of standard & expanded notations, decimals
        • Convert between standard & expanded notations, up to three decimal places
        • Convert between standard & expanded notations, up to three decimal places, real-world context
        • Convert between word, standard, & expanded notations, including real-world context
      • Standard Number Forms
        • Given whole number in word form, determine standard notation
      • Word Number Forms
        • Given number in word form, determine standard notation
        • Convert numbers to word form, up to 1,000,000
      • Mixed Number Forms
        • Condensed: Convert between word & expanded notations of decimals
        • Condensed: Convert between word, standard, & expanded notations
        • Convert between standard & expanded notation, fraction expansions, including real-world context
        • Convert between word, standard, & expanded notation, fraction expansions, including real-world context
  • Number Theory
    • Even & Odd Numbers
      • Identify even & odd numbers
      • Identify even & odd numbers, real-world context
      • Determine even & odd numbers using divisibility
    • Prime & Composite Numbers
      • Identify prime & composite numbers
      • Identify prime & composite numbers, real-world context
    • Factors & Multiples
      • Identify multiples or non-multiples of whole numbers
      • Identify factors or non-factors of whole numbers
      • Identify factors or multiples of whole numbers
      • Condensed: Identify factors, non-factors, multiples, & non-multiples of whole numbers
    • Prime Factorization
      • Determine prime factorization of numbers up to 50
      • Determine prime factorization of numbers up to 100
      • Identify or complete prime factorization of numbers up to 144
  • Patterns & Sequences
    • Given pattern of shapes, identify shape that completes pattern
    • Given table, determine & extend patterns, addition
    • Given table, determine & extend patterns, subtraction
    • Given table, determine & extend patterns, multiplication
    • Condensed: Given table, determine & extend patterns
    • Condensed: Identify shapes that complete patterns or relationship between numeric patterns
    • Determine missing elements in tables, subtraction
    • Determine specific element from pattern represented in table
    • Given description of pattern, determine first five terms
    • Given description of patterns, determine first five terms for each pattern
  • Geometry
    • Angles, Lines, & Rays
      • Identify Angles, Lines & Rays
        • Identify characteristics of points, lines, segments & rays from diagrams
        • Identify characteristics of points, lines, segments & rays from descriptions
        • Condensed: Identify characteristics of points, lines, segments & rays
        • Classify angles from figure
        • Identify types of angles in figures
        • Identify angle names
        • Identify angles, lines, & segments in figures
      • Determine Angle Measure
        • Measure angles using protractor, real-world context
        • Measure angles using protractor 
        • Identify angles with specified measures
        • Given two angle measures in triangle, determine angle measure
        • Determine angle measures in figures
        • Estimate angle measures
        • Identify 90°, 180°, 270°, & 360° angles
    • 2D Figures
      • Lines of Symmetry
        • Identify symmetric figures
        • Identify lines of symmetry of 2D figures
      • Parallel & Perpendicular Lines
        • Identify intersecting lines in figures, real-world context
        • Identify parallel & perpendicular lines in figures
        • Identify parallel & perpendicular lines in figures, real-world context
      • Classifying Figures
        • Classify triangle based on given angle measures
        • Classify polygons based on number of sides or relationship to other shapes
        • Classify polygons based on angles & parallel or perpendicular lines
        • Classify polygons using graphic organizers
    • Perimeter of Rectangles
      • Basic Perimeter of Rectangles
        • Determine perimeter of rectangles
        • Given sides of rectangle, determine perimeter
        • Determine side length or perimeter of squares
        • Given perimeter & one dimension of rectangle, determine missing dimension
        • Given perimeter of rectangle & one side, determine dimension
      • Application of Perimeter of Rectangles
        • Given sides of rectangle, determine perimeter
        • Determine perimeter of rectangles, real-world context
        • Given model, identify formula & determine perimeter of rectangles
        • Condensed: Determine perimeter of rectangles, including real-world context
        • Determine perimeter of composite figures containing rectangles & squares, including real-world context
    • Area of Rectangles
      • Application & Modeling of Area of Rectangles
        • Given model, identify formula & determine area of rectangle
        • Given sides of rectangle & cost per square unit, determine area & total cost, real-world context
        • Determine area of missing dimension of rectangles, real-world context
      • Basic Area of Rectangles
        • Given sides of rectangle, determine area
        • Given area & one dimension of rectangle, determine missing dimension
  • Measurement & Data
    • Conversions
      • Basic Conversions
        • Convert between customary units of length
        • Convert between customary units of weight & mass
        • Convert between customary units of volume & capacity
      • Application of One-Step Conversions
        • Given conversion chart, convert between metric units, real-world context
        • Determine equivalent measurements using table
        • Convert between customary units, including real-world context
        • Convert between metric units, including real-world context
        • Convert between metric units, real-world context
        • Convert between metric units of length & determine appropriate relative units
        • Convert between metric units of weight & determine appropriate relative units
      • Application of Multi-Step Conversions
        • Convert between customary units, real-world context
        • Convert between customary units of length & determine appropriate relative units
        • Convert between metric units of capacity & determine appropriate relative units
        • Condensed: Convert between metric units of length, weight, & capacity & determine appropriate relative units
        • Convert between customary units to find sums or differences, including real-world context
    • Measurement Word Problems
      • Add, subtract, & multiply integer masses, metric units, real-world context
      • Add & subtract decimal distances, metric units, real-world context
      • Add & subtract mixed number distances, customary units, real-world context
      • Solve problems involving interpretation of various visual diagrams
    • Time
      • Identify digital times before or after hour
      • Given time before or after hour, determine digital time
      • Identify analog times before or after hour
      • Determine time intervals
      • Given analog or digital times, determine time passed
      • Convert between units of time, days, hours, minutes, & seconds
      • Convert between units of time, days, weeks, months, & years
      • Condensed: Convert between units of time
      • Condensed: Convert between units of time & determine time intervals
    • 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
  • Charts & Graphs
    • Translating Charts & Graphs
      • Identify Bar Graph
        • Given pictograph, determine equivalent bar graph
        • Condensed: Given pictograph, determine equivalent bar graph or table
        • Given table, determine equivalent bar graph
        • Given table, determine equivalent bar graph, including double bar graphs
      • Identify Pictograph
        • Given bar graph, determine equivalent pictograph
        • Given table, determine equivalent pictograph
      • Identify Table
        • Given data, identify frequency table or determine missing element of table
        • Given pictograph, determine equivalent table
        • Given bar graph, determine equivalent table
      • MIxed Charts & Graphs
        • Given data represented in various ways, identify dot plot
        • Given data, identify stem-and-leaf plot
        • Condensed: Given pictograph, determine equivalent bar graph or table
        • Condensed: Given bar graph, determine equivalent table or pictograph
        • Condensed: Given table, determine equivalent bar graph or pictograph
        • Condensed: Determine equivalent visual representations of data
    • Interpreting Charts & Graphs
      • Bar & Double Bar Graphs
        • Solve one-step problems from bar graphs, real-world context
        • Solve problems involving bar graphs
        • Solve problems involving interpretation of various graphs
        • Solve one-step problems from double bar graphs, real-world context
        • Add, subtract, & multiply fractions in bar graphs, common denominator
        • Solve multi-step problems from bar graphs, real-world context
        • Solve multi-step problems from double bar graphs, real-world context
      • Dot Plots
        • Solve one-step problems from dot plots, real-world context
        • Solve multi-step problems from dot plots, real-world context
      • Stem-&-Leaf Plots
        • Solve one-step problems from stem-and-leaf plots, real-world context
        • Solve multi-step problems from stem-and-leaf plots, real-world context
  • Probability
    • Determine sample spaces
    • Determine probabilities of single events
    • Classify probabilities by levels of likelihood
    • Determine theoretical probabilities, fraction answers
    • Determine experimental probabilities, fraction answers
  • Financial Literacy
    • Identify fixed & variable expenses
    • Determine profits
    • Determine budget allocations for spending, saving, & giving
    • Identify purpose of financial institutions
    • Identify advantages & disadvantages of various savings options