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