 VIEW ALL SKILLS

• Whole Numbers
• Basic Addition of Whole Numbers
• Add positive integers, up to two digits
• Add three- & four-digit whole numbers
• Condensed: Add four-digit & three- or 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, up to two digits, positive difference
• Subtract whole numbers, four-digit & three-digit
• Subtract whole numbers, four-digit & three-digit
• Subtract whole numbers, three- or four-digit & two- to four-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
• 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
• 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
• 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, both up to 19
• Multiply multiples of 10 & two-digit whole numbers
• Multiply whole numbers, two-digit & two-digit
• Multiply whole numbers by decomposing factors, two-digit & two-digit
• Basic Multiplication of Whole Numbers, Three- or Four-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 whole numbers, two-digit & two- or three-digit
• Multiply whole numbers, three-digit & two-digit
• Multiply whole numbers, both up to three digits
• Condensed: Multiply whole numbers, three- or four-digit & two-digit
• Condensed: Multiply whole numbers, up to four-digit & up to three-digit, no more than six total digits
• 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, three-digit & two-digit, including addition or subtraction step, real-world context
• Products of Ten & One Hundred
• Multiply 100 & two-digit whole numbers
• Condensed: Multiply whole numbers, two-digit & 10 or 100
• Multiply multiples of 10 & one-digit whole numbers, real-world context
• 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 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 of whole numbers
• Solve problems involving multiplicative & additive comparisons
• Condensed: Solve problems involving division of positive integers & multiplicative & additive comparisons, real-world context
• Division of Whole Numbers
• Modeling Division of Whole Numbers
• Determine equivalence between arrays & division equations
• Determine equivalence between area models & division equations
• Condensed: Determine equivalence between models & division equations
• Apply divisibility rules to two-digit dividends, divisor 2, 3, 4, 5, 6, 9, 10
• Determine division equations, real-world context
• Basic Division of Whole Numbers, One-Digit Divisor
• Divide whole numbers, up to three-digit dividend, one-digit divisor
• Determine quotient & remainder, one-digit dividend, one-digit divisor
• Determine quotient & remainder, two-digit dividend, one-digit divisor
• Determine quotient & remainder, three-digit dividend, one-digit divisor
• Determine quotient & remainder, four-digit dividend, one-digit divisor
• Determine quotient & remainder as fraction, one-digit dividend, one-digit divisor
• Determine quotient & remainder as fraction, two-digit dividend, one-digit divisor
• Determine quotient & remainder as fraction, three-digit dividend, one-digit divisor
• Determine quotient & remainder as fraction, four-digit dividend, one-digit divisor
• Basic Division of Whole Numbers, Up to Three-Digit Dividend & Two-Digit Divisor
• Determine quotient & remainder, two-digit dividend, two-digit divisor
• Condensed: Determine quotient & remainder, two-digit dividend, up to two-digit divisor
• Determine quotient & remainder, three-digit dividend, two-digit divisor
• Condensed: Determine quotient & remainder, three-digit dividend, up to two-digit divisor
• Determine quotient & remainder as fraction, two-digit dividend, two-digit divisor
• Condensed: Determine quotient & remainder as fraction, two-digit dividend, up two two-digit divisor
• Determine quotient & remainder as fraction, three-digit dividend, two-digit divisor
• Condensed: Determine quotient & remainder as fraction, three-digit dividend, up two two-digit divisor
• Basic Division of Whole Numbers, Four- or Five-Digit Dividend & Two-Digit Divisor
• Divide whole numbers, up to five-digit dividend, up to two-digit divisor
• Determine quotient & remainder, four-digit dividend, two-digit divisor
• Condensed: Determine quotient & remainder, up to four-digit dividend & two-digit divisor
• Condensed: Determine quotient & remainder, four-digit dividend, up to two-digit divisor
• Determine quotient & remainder as fraction, four-digit dividend, two-digit divisor
• Condensed: Determine quotient & remainder as fraction, four-digit dividend, up two two-digit divisor
• Application of Division of Whole Numbers
• 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
• Divide positive integers, up to four-digit dividend, up to two-digit divisor, real-world context
• Determine quotient, up to four-digit dividend, up to two-digit divisor, real-world context
• Condensed: Divide whole numbers, up to four-digit dividend, up to two-digit divisor, including real-world context
• Divide positive integers for decimal result, 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
• Condensed: Solve multi-step problems involving models & whole number operations, real-world context
• Condensed: Solve multi-step problems involving equations, models, & whole number operations, 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
• Condensed: Solve multi-step problems involving equations & whole number operations, real-world context
• Application of Mixed Operations of Whole Numbers
• Add or subtract whole numbers, real-world context
• Solve multi-step problems involving whole number operations, initially add, real-world context
• Solve multi-step problems involving models & 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
• Solve multi-step problems involving division of positive integers, real-world context
• Solve multi-step problems involving operations with whole numbers
• Condensed: Solve multi-step problems involving whole number operations, 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 using front-end rounding
• Round whole numbers to specified place value, up to hundred-thousand
• 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, real-world context
• Condensed: Round whole numbers to nearest ten, hundred, & thousand, including real-world context
• Application of Estimating Whole Numbers
• 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 sums & differences of whole numbers by rounding to specified place values
• Estimate products of whole numbers, two-digit factor times one-digit factor
• Condensed: Estimate sums, differences, & products of whole numbers
• Identify division expression to estimate quotient using compatible numbers, real-world context
• Estimate quotients of whole numbers, up to six-digit dividend, up to three-digit divisor
• Determine division expression to estimate quotient using compatible 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
• Condensed: 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
• 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
• Simplifying Fractions
• Reduce fractions, denominators less than 20
• Reduce fractions, answer denominators less than 10
• Reduce fractions, answer denominators less than 30
• Reduce fraction part of mixed numbers
• Simplify & reduce mixed numbers, improper fraction part
• Comparing & Ordering Fractions
• Compare two fractions, different denominators, strip diagrams
• Compare two fractions, different denominators, number lines
• Compare two fractions, different denominators, area models
• Compare fractions, different denominators, visual model
• Compare fractions, denominators less than 10
• Compare fractions, denominators less than 30
• Compare fractions between one-half & one
• Compare fractions, same numerators, denominators differ by one, denominators less than 10,000
• Compare fractions, different denominators
• Order positive fractions
• Equivalent Fractions
• Determine equivalent fractions, number lines
• Determine equivalent fractions, area models
• Determine equivalent fraction equations, area models
• Determine equivalent fractions, strip diagrams
• Determine equivalent fraction components
• Identify or determine equivalent fraction components or fractions
• Determine how many fraction parts are in whole
• Decomposing Fractions
• Decompose fractions into sum of fractions, visual models
• Decompose fractions into sum of fractions
• Decompose fractions or mixed numbers into sum of fractions, visual models
• Decompose fractions or mixed numbers into sum of fractions, real-world context
• 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
• Converting Fractions
• Converting Fractions to Decimals
• Identify decimal equivalent of fractions, real-world context
• Given model, determine fraction & decimal equivalents, unreduced
• Convert fractions to decimals, denominator power of 10
• Convert fractions to decimals, denominator factor of power of 10
• Condensed: Determine & identify equivalent fractions & decimals, including models, including real-world context
• Converting Improper Fractions & Mixed Numbers
• Convert whole numbers to improper fractions
• Convert improper fractions to mixed numbers, whole part up to 3
• Convert improper fractions to mixed numbers, whole part up to 12
• Convert mixed numbers to improper fractions, denominators less than 10
• Convert mixed numbers to improper fractions, includes denominators more than 10
• Convert mixed numbers to unreduced improper fractions
• Condensed: Convert between improper fractions & mixed numbers
• 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
• Add fractions, denominators of 10 & 100
• Add fractions, one denominator multiple of other, including improper sums
• 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
• Given addition expression of two fractions, identify expression using fourths that best estimates sum
• Subtraction of Fractions
• Basic Subtraction of Fractions, Common Denominators
• Subtract fractions, same denominator, positive difference, including unreduced fractions
• Subtract fractions, common denominators, unreduced
• 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
• Subtract fractions, one denominator multiple of other, proper fraction difference
• Subtract fractions, one denominator multiple of other, including improper differences
• Subtract fractions, different denominators, positive proper differences
• Subtract fractions, different denominators, including mixed number differences
• Subtract mixed numbers, different denominators
• Subtract mixed numbers, different denominators, borrowing required
• Given subtraction expression of two fractions, identify expression using fourths that best estimates difference
• 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
• Basic Addition & Subtraction of Fractions, Common Denominators
• Condensed: Add or subtract fractions, common denominators, unreduced
• Application of Addition & Subtraction of Fractions, Common Denominators
• Condensed: Add fractions, common denominators, including real-world context
• Condensed: Add or subtract fractions, common denominators, real-world context
• Modeling Addition & Subtraction of Fractions, Different Denominators
• Add & subtract fractions, number lines
• Add & subtract fractions, area models
• Add & subtract fractions, fraction strips
• Add & subtract fractions, various models
• Condensed: Given model, determine or interpret addition & subtraction of fractions
• Basic Addition & Subtraction of Fractions, Different Denominators
• Condensed: Add or subtract fractions
• Given subtraction expression of two fractions, identify expression using fourths that best estimates difference
• Condensed: Given addition or subtraction expression of two fractions, identify expression using fourths that best estimates result
• Application of Addition & Subtraction of Fractions, Different Denominators
• Add & subtract fractions, real-world context
• Add or subtract fractions, including estimation, real-world context
• Multiplication of Fractions
• Application & Modeling Multiplication of Fractions
• Multiply whole numbers & fractions, area models
• Multiply whole numbers & fractions, including visual models
• Multiply whole numbers & fractions, real-world context
• Multiply fractions, positive, real-world context
• Multiply mixed numbers & proper fractions, visual models, real-world context
• Multiply mixed numbers & proper fractions, real-world context
• Condensed: Identify models or multiply whole numbers & fractions using area models
• Determine part of whole using fraction multiplication, including visual models, including real-world context
• Basic Multiplication of Fractions
• Multiply whole numbers & unit fractions, whole number first
• Multiply whole numbers & unit fractions
• Multiply whole numbers & fractions, positive
• Multiply fractions, positive
• Multiply proper & improper fractions, positive
• Multiply fractions, positive, mixed number directions
• Multiply mixed numbers, positive
• Scaling Fractions
• Determine whether quantities are increased or decreased when multiplied by fractions
• Determine products & identify whether quantities are increased or decreased when multiplied by fraction
• Interpret fractional parts & fraction multiplication, real-world context
• Compare products of fractions, mixed numbers, & whole numbers, including real-world context
• 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, models
• Divide whole numbers & unit fractions, area models
• Divide whole numbers & unit fractions, fraction strips
• Divide whole numbers by unit fractions, number lines
• Condensed: Divide whole numbers & fractions, various models
• Identify division models & divide unit fractions by unit fractions
• Determine visual representation & fraction quotient of division problems
• Basic Division of Fractions
• Determine representation of fraction as division expression
• Divide whole numbers by unit fractions
• Divide whole numbers & unit fractions
• Divide fractions, positive
• Divide fractions, positive, mixed number directions
• Divide mixed numbers, positive
• Application of Division of Fractions
• Divide whole numbers & unit fractions, including unit fraction multiplication, real-world context
• Condensed: Divide whole numbers & fractions, various models
• Divide fractions & mixed numbers, positive, real-world context
• Determine fraction & mixed number equivalence of division problems, real-world context
• Determine or estimate quotients of whole numbers, fraction quotients
• Estimate & determine quotients as fraction representation of division problem
• 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 numbers, up to four-digit whole numbers or three-digit decimals
• Compare decimals on number line
• Identify & compare rational numbers on number lines, positive
• Compare decimals written in word form, up to four decimal places
• Order decimals up to 1,000,000,000
• Condensed: Compare three- to six-digit whole numbers
• Application of Comparing & Ordering Decimals
• 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
• Order decimals from table of place values, real-world context
• Condensed: Compare or order numbers up to 1,000,000,000
• Compare & order decimals up to 1,000,000,000, real-world context
• Condensed: Compare or order decimals, up to three decimal places, including real-world context
• Converting Decimals
• Convert decimals to fractions
• Convert decimals to fractions, real-world context
• Convert decimals to mixed numbers
• Convert decimals to fractions or mixed numbers
• Condensed: Determine & identify equivalent fractions & decimals, including models, including real-world context
• Add decimals, positive, up to two decimal places
• Add positive decimals, up to three 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
• Subtract decimals, up to three decimal places, positive difference
• Application of Subtraction of Decimals
• Condensed: Subtract decimals, up to two decimal places, including real-world context
• Subtract decimals, up to two decimal places, real-world context
• Make change
• Addition & Subtraction of Decimals
• Condensed: Add & subtract decimals, up to two decimal places
• Add & subtract decimals, up to two decimal places, real-world context
• Condensed: Add & subtract decimals, up to two decimal places, including real-world context
• Condensed: Add & subtract decimals, up to two decimal places, real-world context
• Condensed: Add & subtract rational numbers, real-world context
• Multiplication of Decimals
• Basic Multiplication of Decimals
• Multiply decimals times one-digit whole numbers
• Multiply positive decimals, each factor up to two decimal places, factors up to 10 after decimal shift
• Multiply positive decimals, each factor up to two decimal places, factors up to 20
• Multiply positive decimals, each factor up to two decimal places
• Multiply decimals, products limited to two decimal places
• Application of Multiplication of Decimals
• Determine equivalence between area models & multiplication equations
• Determine equivalence between base-10 models & multiplication equations
• Determine equivalence between number line models & multiplication equations
• Condensed: Determine equivalence between models & multiplication equations
• Multiply decimals, products limited to two decimal places, real-world context
• Division of Decimals
• Basic Division of Decimals
• Divide four-digit dividends by two-digit whole number divisors
• Divide decimals by whole numbers, up to two decimal places
• Application of Division of Decimals
• Divide decimals, up to three decimal places, real-world context
• Divide four-digit dividends by two-digit whole number divisors, including real-world context
• Identify base-10 model that represents quotient of decimal division
• Determine equivalence of base-10 model & components of decimal division
• Determine equivalence of base-10 model & components of decimal division, quotient limited to tenths
• Given model representing decimal division, interpret model & determine quotient, including money
• Given area model representing decimal division, interpret model & determine quotient, including real-world context
• Given number line model representing decimal division, interpret model & determine quotient, including real-world context
• Condensed: Given model representing decimal division, interpret model & determine quotient, including real-world context
• Rounding & Estimating Decimals
• Basic Rounding & Estimating Decimals
• Round decimal numbers to nearest whole, tenth, & hundredth
• Round decimal numbers to nearest tenth & hundredth, including real-world context
• Round decimal numbers to nearest whole, tenth, hundredth, & thousandth
• Round decimal numbers to nearest whole, tenth, hundredth, & thousandth, including real-world context
• Round decimal & whole numbers to specified place value
• Estimate sums, differences, & products of decimals & whole numbers by rounding to specified place values
• Application of Rounding & Estimating Decimals
• Round decimal numbers to nearest whole, tenth, & hundredth, real-world context
• Round decimal numbers to nearest tenth & hundredth, real-world context
• Round numbers to nearest whole, ten, hundred, & thousand, real-world context
• Round decimal numbers to nearest tenth, hundredth, & thousandth, real-world context
• Condensed: Round decimal numbers to nearest whole, tenth, & hundredth, including real-world context
• Determine sums & differences of decimals then round solution, real-world context
• Estimate quotients of decimals & whole numbers using compatible numbers
• Estimate solutions involving all operations, real-world context
• Estimate sums, differences, products, or quotients of rational numbers
• Estimate sums, differences, products, or quotients of rational numbers, real-world context
• Number Lines
• Given range & increment, identify blank 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
• Plot decimals on number lines, increment 0.1 or 0.01
• Identify decimals on number lines, positive
• Identify decimals on number lines, positive, vertical number lines
• Identify or plot decimals or determine lengths on number line, increment 0.01
• Identify or plot fractions or determine lengths on number line
• Compare decimals on number line
• Identify & compare rational numbers on number lines, positive
• Determine location of rational numbers 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
• Determine product of number & power of 10
• Application of Place Value, Determine 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
• Application of Place Value, Identify Number with Specific Digit
• Identify numbers with specific digit equal to 10 times digit to right
• Identify numbers with specific digit equal to digit to right divided by 10
• Identify numbers with ones digit equal to 100 times hundredths digit
• Identify numbers with hundredths value equal to ones value divided by 100
• Identify numbers with specific digit equal to digit to right divided by 10, 100, or 1,000
• 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 decimal numbers with specific digit equal to digit to right divided by 10, expanded notation
• Condensed: Identify numbers with specific digit equal to digit to right divided by 10, including expanded notation
• 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
• 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
• Condensed: Convert between standard & expanded notations, including place value words
• 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
• Powers of Ten
• Multiply whole numbers & powers of 10
• Multiply decimal numbers & powers of 10
• Multiply powers of 10 & products of one-digit whole numbers
• Condensed: Multiply powers of 10 & products involving one-digit whole numbers, including real-world context
• Multiply powers of 10 & product involving one-digit whole numbers, real-world context
• Divide decimal numbers by powers of 10
• Multiply & divide decimal numbers & powers of 10
• Determine magnitudes of products of powers of 10
• Determine magnitudes of products & quotients of powers of 10
• Determine magnitudes of products of powers of 10, including negative exponents
• Determine magnitudes of products & quotients of powers of 10, including negative exponents
• Number Theory
• Prime & Composite Numbers
• Identify prime & composite numbers
• Identify prime & composite numbers, real-world context
• 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
• Factors & Multiples
• Identify factors or non-factors of whole numbers
• Identify multiples or non-multiples of whole numbers
• Identify factors or multiples of whole numbers
• Condensed: Identify factors, non-factors, multiples, & non-multiples of whole numbers
• Greatest Common Factors
• Determine GCF of two numbers up to 100
• Determine GCF of two numbers up to 100 or multiples of 10
• Determine GCFs, real-world context
• Least Common Multiples
• Determine LCM of two numbers up to 100
• Determine LCM of two numbers up to 100 or multiples of 10
• Determine LCMs, real-world context
• Greatest Common Factors & Least Common Multiples
• Condensed: Determine GCF or LCM of two numbers up to 100 or multiples of 10
• Condensed: Determine GCFs & LCMs, real-world context
• Expressions
• Translating Expressions
• Identify words or phrases that indicate specified operation or comparison
• Determine definitions of arithmetic vocabulary, fill in the blank
• Interpret numerical expressions
• Given phrase, determine one-step algebraic expression
• Determine algebraic expressions that represent real-world situations
• Determine algebraic expressions that represent real-world situations, including two-variable expressions
• Simplifying Expressions
• Basic Simplifying Expressions
• Evaluate numerical expressions, #/# + #
• Evaluate numerical expressions, # + #(#)
• Evaluate numerical expressions, including rationals & up to two sets of grouping symbols
• Application of Simplifying Expressions
• Identify first steps in evaluating numerical expressions using grouping symbols
• Identify equivalent expressions using order of operations
• Identify equivalent algebraic expressions, including real-world context
• Evaluate & identify equivalent numerical expressions, including real-world context
• Evaluate numerical expressions, up to two sets of grouping symbols, real-world context
• Equations
• Properties of Equations
• Identify properties used in numerical expressions
• Identify properties used in numerical & algebraic expressions
• Checking Equation Solutions
• Identify values that solve equations, variable & constant on left side
• Identify values that solve equations, constant times variable
• Identify values that solve equations, variable & constant on right side
• Identify values that solve equations
• Solving Equations
• Basic Solving Equations
• Solve x + a = b, a > 0, b > 0, x > 0
• Solve x – a = b, a > 0, b > 0, x > 0
• Solve ax = b, a > 0, b > 0
• Solve x/a = b, a > 0, b > 0
• Determine unknown whole number in multiplication & division equations
• Solve one-step linear equations, rationals
• Application of Solving Equations
• Solve two-step equation with isolated variable, real-world context
• Writing Equations
• Determine one-step linear equations, real-world context
• Determine one-step linear equations, real-world context
• Determine one-step equations, including decimals, real-world context
• Given one-step equation, identify real-world situation represented by equation
• Identify multi-step equations, real-world context
• Writing & Solving Equations
• Determine, solve, & apply addition equations, real-world context
• Determine & solve multiplication equations, real-world context
• Determine, solve, & apply multiplication equations, real-world context
• Patterns & Sequences
• Verbal Descriptions
• Identify relationships between patterns
• Given description of pattern, determine first five terms
• Given description of patterns, determine first five terms for each pattern
• Function Tables
• Determine missing elements in tables, addition
• Determine missing elements in tables, subtraction
• Determine missing elements in tables, multiplication
• Determine specific element from pattern represented in table
• Given table, determine relationship between input & output
• Given table, determine & extend patterns, addition
• Given table, determine & extend patterns, subtraction
• Given table, determine & extend patterns, multiplication
• Condensed: Given table, determine & extend patterns
• Graphs
• Given graph of linear points, identify table
• Given graph of linear points, identify table, real-world context
• Given graph or table, identify additive or multiplicative patterns
• Determine & complete equivalent representations of linear equations, tables, & graphs
• Equations
• Given linear equation, identify table, real-world context
• Given linear equation, identify table, including decimals
• Given linear equation, identify table, including decimals & fractions
• Given linear equation, identify table, including decimals & fractions, real-world context
• Condensed: Identify equivalent linear equations, tables, & graphs, including real-world context
• Given multiplicative relationship in table, determine equation, real-world context
• Geometry
• 2D Figures
• Classify angles from figure
• Classify triangle based on given angle measures
• Classify triangles based on angles & sides
• Classify quadrilaterals shapes based on attributes
• Classify polygons based on angles & parallel or perpendicular lines
• Classify polygons based on number of sides or relationship to other shapes
• Classify polygons using graphic organizers
• Classify polygons using graphic organizers, including types of triangles
• 3D Figures
• Identify 3D figures & their bases
• Identify equivalent representations of 3D figures & nets
• Determine 2D orthographic representation of 3D blocks
• Angles, Lines, & Rays
• Identify angle names
• Identify 90°, 180°, 270°, & 360° angles
• Estimate angle measures
• Identify types of angles in figures
• Determine angle measures in figures
• Given two angle measures in triangle, determine angle measure
• Identify angles, lines, & segments in figures
• 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
• Measure Angles
• Identify angles with specified measures
• Measure angles using protractor
• Measure angles using protractor, real-world context
• Perimeter
• Basic Perimeter
• Determine perimeter of rectangles
• Given sides of rectangle, determine perimeter
• Condensed: Determine perimeter of rectangles, including real-world context
• Determine perimeter of rectangles, including decimal dimensions
• Determine side length or perimeter of squares
• Given perimeter & one dimension of rectangle, determine missing dimension
• Given perimeter of rectangle & one side, determine dimension
• Given perimeter of rectangle & one side, determine dimension, including decimals
• Application of Perimeter
• Given sides of rectangle, determine perimeter
• Determine perimeter of rectangles, real-world context
• Determine perimeter of rectangles, including decimal dimensions, real-world context
• Given model, identify formula & determine perimeter of rectangles
• Given model, identify formula & determine perimeter of rectangles, including decimal dimensions
• Determine perimeter of polygons, including real-world context
• Determine side length or perimeter of squares
• Determine perimeter of composite figures containing rectangles & squares, including real-world context
• Area
• Rectangle & Parallelogram Area
• Basic Area of Rectangles & Paralleograms
• Given sides of rectangle, determine area, model provided
• Given sides of rectangle, determine area
• Given length & width of rectangle, determine area
• Determine area of rectangles with fractional dimensions
• Given area & one dimension of rectangle, determine missing dimension
• Given area of rectangle & one dimension, determine other dimension
• Determine area of parallelograms, model provided
• Determine area of parallelograms
• Given area & one dimension of parallelogram, determine missing dimension
• Determine areas of rectangles & parallelograms
• Given area, determine dimensions of rectangles & parallelograms
• Condensed: Determine areas & dimensions of rectangles & parallelograms
• Application of Area of Rectangles & Parallelograms
• Given model, identify formula & determine area of square
• Given model, identify formula & determine area of rectangle
• Condensed: Given model, identify formula & determine area of square or rectangle
• Determine area of rectangles with fractional dimensions using tiling method
• Given sides of rectangle & cost per square unit, determine area & total cost, real-world context
• Determine area of parallelograms using models that decompose & rearrange parts
• Determine equations that represent area of parallelograms, real-world context
• Determine area of missing dimension of rectangles, real-world context
• Determine area of shaded region between nested rectangles
• Given perimeter & relationship between sides, determine specific dimension
• Triangle Area
• Determine area of triangles using models that decompose & rearrange parts
• Determine area of triangles, internal height
• Determine area of triangles, external height
• Determine area of triangles
• Determine area of triangles, internal height, mixed numbers
• Determine area of triangles, external height, mixed numbers
• Determine area of triangles, mixed numbers
• Determine equations that represent area of triangles, real-world context
• Given area & one dimension of triangle, determine missing dimension
• Given area & one dimension of triangle, determine missing dimension, mixed numbers
• Trapezoid Area
• Determine area of trapezoids using models that decompose & rearrange parts
• Determine area of trapezoids
• Determine equations that represent area of trapezoids, real-world context
• Given area & base lengths of trapezoid, determine height
• Mixed & Composite Figure Area
• Determine areas of triangles & trapezoids
• Condensed: Determine area using models that decompose & rearrange parts
• Determine area of polygons in coordinate plane
• Determine area of polygons in coordinate plane, real-world context
• Given area, determine dimensions of triangles
• Condensed: Determine areas & dimensions of triangles & trapezoids
• Determine area of composite figures, rectangle with various figures attached, no circular parts
• Area & Perimeter
• Determine area or perimeter of parallelograms
• Condensed: Identify formula & determine perimeter or area of rectangles & squares
• Condensed: Determine equations that represent area of triangles & quadrilaterals, real-world context
• Determine dimension of rectangles, including real-world context
• Volume
• Unit Cube Volume
• Determine relationship between area, volume, & dimensions
• Determine relationship between area, volume, square units, & cubic units
• Determine volume of rectangular prisms using unit cubes
• Determine volume of rectangular prisms using unit cubes
• Determine volume of rectangular 3D figures using unit cubes
• Basic Volume
• Determine volume of rectangular prisms, whole numbers, volume less than 10,000
• Determine volume of rectangular prisms, various representations
• Determine volumes of rectangular prisms, fractional dimensions
• Given base area & edge or all edges, determine volume of rectangular prism
• Given volume, determine edges of rectangular prisms
• Given volume, determine edge of rectangular prisms, up to four-digit dividend, up to two-digit divisor
• Given volume, determine dimension of rectangular prism, fractional dimensions
• Determine volume or edge of rectangular prisms, whole numbers, volume less than 10,000
• Determine volume or edge of rectangular prisms, whole numbers
• Application of Volume
• Interpret volume of rectangular prisms, various representations
• Determine volume of rectangular prisms, whole numbers, including real-world context
• Determine volume of rectangular prisms using repeated layers of base area, real-world context
• Determine volume of rectangular prisms using various representations of cubic units, real-world context
• Determine volume of rectangular prisms & apply associative property to volume expressions
• Condensed: Determine volume or dimension of rectangular prisms, fractional dimensions
• Determine volume of composite rectangular prisms
• Coordinate Plane
• Basic Coordinate Plane
• Determine coordinates of first quadrant points
• Determine coordinates of first quadrant point, various scales
• Plot first quadrant points, various scales
• Determine coordinates of first quadrant rational points
• Plot first quadrant rational points
• Plot or determine coordinates of first quadrant points
• Condensed: Plot or determine coordinates of first quadrant points
• Condensed: Plot or determine coordinates of first quadrant rational points, various scales
• Application of Coordinate Plane
• Identify description of process to plot first quadrant points
• Identify first quadrant points or parts of coordinate plane
• Identify locations or parts of coordinate plane using first quadrant points
• Determine or identify first quadrant points, real-world context
• Determine or identify first quadrant points, including cardinal directions, real-world context
• Condensed: Plot or determine coordinates of first quadrant rational points
• Measurement & Data
• Conversions
• Basic Conversions
• Convert between metric units of weight & mass
• Convert between metric units
• Convert between metric units, real-world context
• Convert between customary units of weight & mass
• Convert between customary units of weight & mass
• Convert between customary units of volume & capacity
• Convert between customary units of volume & capacity
• Convert between customary units of capacity
• Convert between customary units of length
• Application of One-Step Conversions
• Convert between metric units, including real-world context
• Given conversion chart, convert between metric units, real-world context
• Convert between customary units, including real-world context
• Convert between customary units of weight
• Convert between metric units of weight & determine appropriate relative units
• Convert between metric units of capacity & determine appropriate relative units
• Determine equivalent measurements using table
• Application of Multi-Step Conversions
• Convert between customary units of length & determine appropriate relative units
• Convert between metric units of length & determine appropriate relative units
• Convert between customary units, real-world context
• Condensed: Convert between customary units of length, weight, & capacity
• Convert between metric units of weight & mass, real-world context
• Convert between metric units of volume & capacity
• Convert between metric units of length, real-world context
• Condensed: Convert customary & metric units, real-world context
• Convert between customary units to find sums or differences, including real-world context
• Application of Measurement
• Determine appropriate units or estimated measurement for specified situation
• Add, subtract, & multiply integer masses, metric units, real-world context
• Solve problems involving interpretation of various visual diagrams
• Add & subtract decimal distances, metric units, real-world context
• Perform operations with money
• Add, subtract, multiply, & divide liquid volumes, real-world context
• Condensed: Perform operations with money or units of measurement, real-world context
• Time
• Determine time intervals
• 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
• Charts & Graphs
• Translating Charts & Graphs
• Given data, identify stem-and-leaf plot
• Given data, identify stem-and-leaf plot
• Given data represented in various ways, identify dot plot
• Given bar graph, determine equivalent table
• Given table, determine equivalent bar graph
• Given table, determine equivalent bar graph, including double bar graphs
• Condensed: Given bar graph, determine equivalent table or pictograph
• Identify equivalent representations of data in tables & scatter plots
• Given data, identify frequency table or determine missing element of table
• Given data, determine statistical display
• Given data, determine scatter plot
• Interpreting Charts & Graphs
• 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
• Frequency Tables
• Solve one-step problems from frequency tables, real-world context
• Solve one-step problems from frequency & relative frequency tables, real-world context
• Solve problems from frequency tables, real-world context
• Solve multi-step problems from frequency tables, real-world context
• Line Plots
• Solve one-step problems from dot plots, real-world context
• Solve problems involving dot plots
• Add or subtract fractions from line plots, common denominator
• Solve problems involving line plots & fractions
• Solve multi-step problems from dot plots, real-world context
• Bar & Double Bar Graphs
• Solve one-step problems from bar graphs, real-world context
• 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
• Scatter Plots
• Solve one-step problems from scatter plots, real-world context
• Solve multi-step problems from scatter plots, real-world context
• Mixed Charts & Graphs
• Solve problems involving interpretation of various graphs
• Condensed: Solve one-step problems from various plots, graphs, & tables, real-world context
• Condensed: Solve multi-step problems from various plots, graphs, & tables, real-world context
• Probability & Statistics
• Mean, Median, Mode, & Range
• Identify definition of mean, median, mode, or range
• Determine mean from dot plots
• Determine median from dot plots
• Determine mean, median, mode, or range
• Determine mean, median, mode, or range from stem-&-leaf plots
• Determine mean, median, mode, or range from various graphs
• Condensed: Determine mean, median, mode, or range, including graphs
• Determine mean, median, mode, & range
• Determine mean, median, mode, & range from stem-&-leaf plots
• Statistical Data
• Identify statistical questions
• Determine whether data was counted or measured
• Determine whether data is categorical or numerical
• Identify biased samples & questions
• Identify samples & populations
• Basic Probability
• Classify probabilities by levels of likelihood
• Determine sample spaces
• Determine probabilities of single events
• Determine theoretical probabilities, fraction answers
• Determine experimental probabilities, fraction answers
• Determine probabilities & complementary probabilities of single events, including visual models
• Determine predicted values, experimental probability
• Determine number of combinations using fundamental counting principle, real-world context
• Determine number of combinations using fundamental counting principle, including repeated letters & digits, real-world context
• Financial Literacy
• Identify various types of taxes
• Identify & determine gross & net incomes
• Balance & determine components of transaction register
• Identify actions to balance budget
• Determine amounts to balance budget