 VIEW ALL SKILLS

• Integers
• Integer Vocabulary & Scenarios
• Identify situations represented by positive & negative numbers, real-world context
• Determine representations of quantities using positive & negative numbers, real-world context
• Opposites
• Determine opposites of numbers
• Identify opposite integers on number line
• Determine change, opposite integers, real-world context
• Comparing Integers
• Compare two positive integers
• Compare two integers, one positive & one negative
• Compare two negative integers
• Interpret inequalities as statements about position
• Classify sum of integers on number line
• Given number line model, determine or interpret integer sum expression, same signs
• Given number line model, determine or interpret integer sum expression, mixed signs
• Add opposite integers, up to two digits
• Add integers with same sign, start one digit & advance to two digits
• Add negative integers, up to two digits
• Add integers, up to two digits, positive sum
• Add integers, up to two digits, negative sum
• Condensed: Add positive & negative integers
• Application of Addition of Integers
• Add integers with same sign, up to three digits, real-world context
• Add integers, up to three digits, real-world context
• Given model or table, add integers, real-world context
• Condensed: Add integers, real-world context
• Subtraction of Integers
• Modeling Subtraction of Integers
• Subtract integers using counters
• Given variables on number line, classify difference
• Subtract integers on number line, same signs
• Subtract integers on number line, mixed signs
• Basic Subtraction of Integers, Positive Differences
• Subtract integers, positive difference
• Subtract negative integers, positive difference
• Subtract negative integers, up to two digits, positive difference
• Subtract integers, opposite signs, up to two digits, positive difference
• Basic Subtraction of Integers, Negative Differences
• Subtract positive integers, negative difference
• Subtract negative integers, negative difference
• Subtract integers, negative difference
• Subtract positive integers, up to two digits, negative difference
• Subtract negative integers, up to two digits, negative difference
• Subtract integers, opposite signs, up to two digits, negative difference
• Basic Subtraction of Integers, Mixed Differences
• Subtract positive integers, one-digit & one-digit
• Rewrite subtraction as addition & evaluate expression
• Subtract integers, various signs
• Condensed: Subtract integers, various signs, up to two digits
• Application of Subtraction of Integers
• Determine differences between integers, same signs, real-world context
• Determine differences between integers, mixed signs, real-world context
• Determine differences between integers, various signs, real-world context
• Multiplication of Integers
• Modeling Multiplication of Integers
• Multiply integers using counters
• Multiply positive integers using number line models, includes negatives shown on number line
• Multiply positive integers times negative integers using number line models
• Basic Multiplication of Integers
• Multiply integers, start one digit & advance to two digits
• Multiply integers, opposite signs
• Multiply negative integers
• Multiply integers, opposite signs, two-digit times two-digit
• Multiply negative integers, two-digit times two-digit
• Multiply integers, opposite signs, two-digit times two- or three-digit
• Multiply negative integers, two-digit times two- or three-digit
• Multiply three integers
• Application of Multiplication of Integers
• Multiply positive integers, real-world context
• Multiply integers, mixed signs, real-world context
• Division of Integers
• Modeling Division of Integers
• Divide integers using counters
• Divide integers, both positive, up to two-digit dividend, number line model
• Divide integers, opposite signs, up to two-digit dividend, number line model
• Basic Division of Integers
• Divide integers, opposite signs, up to three-digit dividend, up to two-digit divisor
• Divide integers, both negative, up to three-digit dividend, up to two-digit divisor
• Divide integers, opposite signs, up to five-digit dividend, up to two-digit divisor
• Divide integers, both negative, up to five-digit dividend, up to two-digit divisor
• Divide integers, one or both negative, start one-digit, advance up to three-digits
• Divide integers, one or both negative, start one-digit, advance up to three-digits, includes undefined
• Application of Division of Integers
• Divide integers, same signs, real-world context
• Divide integers, opposite signs, real-world context
• Mixed Operations of Integers
• Determine number of zero pairs or evaluate expressions using counters
• Condensed: Add or subtract integers using counters
• Estimate sums & differences of integers using front-end rounding
• Add or subtract three integers
• Add or subtract four integers
• Multiply & divide three integers
• Condensed: Multiply & divide integers
• Condensed: Add, subtract, multiply, & divide integers
• Evaluate numerical expressions, real-world context
• Order of Operations of Integers, Sum & Difference Only
• Evaluate sum or difference of three integers, at least one difference
• Evaluate sum or difference of four integers, at least one difference
• Evaluate sum or difference of four integers, two grouped in parentheses, at least one difference
• Evaluate sum or difference of four integers, two grouped in absolute value, at least one difference
• Evaluate sum or difference of six integers, two grouped in parentheses, two grouped in absolute value, at least one difference
• Order of Operations of Integers
• Evaluate numerical expressions, three or four integers, including multiplication & division
• Evaluate numerical expressions, three or four integers, including multiplication & division as fraction
• Evaluate numerical expressions, three or four integers, one exponent, including multiplication
• Evaluate numerical expressions, four integers, including multiplication & exponents
• Evaluate numerical expressions, five integers, two grouped in parentheses, including multiplication & division
• Evaluate numerical expressions, five integers, two grouped in absolute value, including multiplication & division
• Evaluate numerical expressions, five integers, one exponent, two grouped in parentheses, including multiplication & division
• Evaluate numerical expression quotients, five to seven integers, one exponent, including multiplication, division, & absolute value
• Evaluate numerical expression quotients, five to seven integers, including multiplication, division, & absolute value
• Condensed: Evaluate numerical expressions
• Fractions
• Converting Fractions
• Converting Fractions to Decimals
• Identify & determine decimal equivalent of fractions, denominator less than 10
• Convert fractions to decimals, denominator power of 10
• Convert fractions to decimals, denominator factor of power of 10
• Convert fractions to decimals, denominator factor of 100
• Convert fractions to rounded decimals
• Convert fractions to decimals, including improper fractions, including repeating decimals
• Convert mixed numbers to decimals, including repeating decimals
• Convert fractions to decimals, up to two decimal places, real-world context
• Converting Fractions to Percents or Decimals
• Convert fractions to percents, denominator factor of 100
• Convert fractions to percents, denominator factor of 100, rounding directions
• Convert fractions to rounded percents
• Convert improper fractions to rounded percents
• Condensed: Convert proper & improper fractions to rounded percents
• Convert fractions to mixed number percents
• Convert fractions to mixed number percents over 100
• Condensed: Convert fractions to decimals & percents
• Basic Addition of Fractions, Only Positives
• 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 improper sums
• Add fractions, different denominators, including mixed number sums
• Add mixed numbers, different denominators
• Add mixed numbers, different denominators, fractional sum greater than one
• Basic Addition of Fractions, Including Negatives
• Add fractions, common denominators, at least one negative
• Add fractions, common denominators, at least one negative, including improper differences
• Condensed: Add fractions, common denominators
• Condensed: Add fractions, common denominators, including improper sums
• Add fractions, different denominators, at least one negative
• Condensed: Add fractions, different denominators
• Condensed: Add fractions, no mixed numbers
• Add fractions, different denominators, at least one negative, including improper differences
• Condensed: Add fractions, including improper sums
• Condensed: Add fractions, different denominators, including improper sums
• Condensed: Add fractions, including mixed numbers
• Add mixed numbers, different denominators, at least one negative
• Application of Addition of Fractions
• Add fractions, mixed signs, real-world context
• Add fractions, mixed signs, including improper sums, real-world context
• Add mixed numbers, mixed signs, real-world context
• Subtraction of Fractions
• Basic Subtraction of Fractions, Only Positives
• 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
• Basic Subtraction of Fractions, Common Denominators
• Subtract fractions, common denominators, at least one negative
• Subtract fractions, common denominators, including improper differences
• Subtract fractions, common denominators, at least one negative, including improper differences
• Condensed: Subtract fractions, common denominators
• Condensed: Subtract fractions, common denominators, including improper differences
• Basic Subtraction of Fractions, Including Negatives
• Subtract fractions, different denominators, at least one negative
• Condensed: Subtract fractions, different denominators
• Condensed: Subtract fractions, no mixed numbers
• Subtract fractions, different denominators, at least one negative, including improper differences
• Subtract fractions, different denominators, negative proper differences
• Condensed: Subtract fractions, different denominators, including improper differences
• Condensed: Subtract fractions, including improper differences
• Subtract mixed numbers, different denominators, at least one negative
• Subtract mixed numbers, different denominators, borrowing required, negative difference
• Condensed: Subtract fractions, including mixed numbers
• Subtract fractions, different denominators, negative difference
• Application of Subtraction of Fractions
• Subtract fractions, mixed signs, including improper differences, real-world context
• Subtract mixed numbers, mixed signs, real-world context
• Multiplication of Fractions
• Application & Modeling of Multiplication of Fractions
• Multiply whole numbers & fractions, area models
• Multiply whole numbers & fractions, real-world context
• Multiply fractions, positive, real-world context
• Multiply fractions & mixed numbers, mixed signs, real-world context
• Basic Multiplication of Fractions, Only Positives
• Multiply whole numbers & unit fractions, whole number first
• Multiply whole numbers & unit fractions
• Multiply whole numbers & fractions, positive
• Multiply proper & improper fractions, positive
• Multiply fractions, positive
• Multiply fractions, positive, mixed number directions
• Multiply mixed numbers, positive
• Basic Multiplication of Fractions, Including Negatives
• Multiply whole numbers & fractions, mixed signs
• Multiply fractions, mixed signs
• Multiply proper & improper fractions, mixed signs
• Condensed: Multiply fractions, including mixed signs
• Multiply fractions, mixed signs, mixed number directions
• Condensed: Multiply fractions, including mixed signs, mixed number directions
• Multiply mixed numbers, mixed signs
• Condensed: Multiply fraction & mixed numbers, including mixed signs, mixed number directions
• Division of Fractions
• Basic Division of Fractions, Only Positives
• Divide whole numbers by unit fractions
• Divide fractions, positive
• Divide fractions, positive, mixed number directions
• Divide mixed numbers, positive
• Basic Division of Fractions, Including Negatives
• Divide fractions, mixed signs
• Condensed: Divide fractions, including mixed signs
• Divide fractions, mixed signs, mixed number directions
• Condensed: Divide fractions, including mixed signs, mixed number directions
• Divide mixed numbers, mixed signs
• Condensed: Divide fractions & mixed numbers, including mixed signs, mixed number directions
• Application of Division of Fractions
• Determine or estimate quotients of whole numbers, fraction quotients
• Divide whole numbers & unit fractions, including unit fraction multiplication, real-world context
• Divide fractions & whole numbers, mixed signs, real-world context
• Divide fractions & mixed numbers, positive, real-world context
• Divide fractions, mixed numbers, & whole numbers, multi-step, real-world context
• Mixed Operations of Fractions
• Basic Mixed Operations of Fractions
• Add or subtract fractions, different denominators, at least one negative, including improper results
• Add or subtract fractions, different denominators, at least one negative, including mixed number results
• Condensed: Add or subtract fractions
• Condensed: Add or subtract fractions, different denominators
• Add or subtract mixed numbers, different denominators, at least one negative, fractional sum greater than one
• Multiply & divide three fractions, mixed signs
• Add or subtract three fractions, positive & negative, different denominators
• Add or subtract four fractions, positive & negative, different denominators
• Application of Mixed Operations of Fractions
• Add or subtract fractions, including estimation, real-world context
• Add & subtract fractions, real-world context
• Decimals
• Converting Decimals
• Convert decimals to percents
• Convert decimals to percents over 100
• Convert decimals to fractions
• Convert decimals to mixed numbers
• Convert decimals to fractions or mixed numbers
• Convert decimals to fractions or mixed numbers, including repeating decimals of thirds
• Convert decimals to fractions or mixed numbers, including repeating decimals
• Condensed: Convert decimals to fractions & percents
• Basic Addition of Decimals, Only Positives
• Add decimals, positive, up to two decimal places
• Add positive decimals, up to three decimal places
• Add decimals, positive, up to four decimal places
• Basic Addition of Decimals, Including Negatives
• Add positive decimals, up to three decimal places
• Add negative decimals, up to three decimal places
• Add positive & negative decimals, up to three decimal places, positive sum
• Add positive & negative decimals, up to three decimal places, negative sum
• Condensed: Add decimals, up to three decimal places
• Application of Addition of Decimals
• Add decimals, positive, up to two decimal places, real-world context
• Condensed: Add decimals, positive, up to two decimal places, including real-world context
• Add decimals, up to hundredths, same signs, real-world context
• Add decimals, up to two decimal places, mixed signs, real-world context
• Condensed: Add decimals, up to three decimal places, real-world context
• Subtraction of Decimals
• Basic Subtraction of Decimals, Only Positives
• Subtract decimals, up to two decimal places
• Subtract decimals, two decimal places
• Subtract decimals, up to three decimal places, positive difference
• Basic Subtraction of Decimals, Including Negatives
• Subtract decimals, up to three decimal places, negative difference
• Subtract decimals, both negative, up to three decimal places, positive difference
• Subtract decimals, both negative, up to three decimal places, negative difference
• Subtract decimals, opposite signs, up to three decimal places, positive difference
• Subtract decimals, opposite signs, up to three decimal places, negative difference
• Condensed: Subtract decimals, up to three decimal places
• Application of Subtraction of Decimals
• Subtract decimals, same signs, up to two decimal places, real-world context
• Subtract decimals, mixed signs, up to two decimal places, real-world context
• Subtract decimals, up to two decimal places, real-world context
• Condensed: Subtract decimals, up to two decimal places, including real-world context
• Multiplication of Decimals
• Basic Multiplication of Decimals, Only Positives
• 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
• Multiply positive decimals, each factor up to three decimal places
• Multiply three positive decimals, products limited to three decimal places
• Condensed: Multiply decimals
• Basic Multiplicaition of Decimals, Including Negatives
• Multiply decimals, both negative, each factor up to two decimal places with one non-zero digit
• Multiply decimals, opposite signs, each factor up to two decimal places with one non-zero digit
• Multiply decimals, both negative, each factor up to two decimal places, including integers up to 19
• Multiply decimals, opposite signs, each factor up to two decimal places, including integers up to 19
• Multiply decimals, both negative, each factor up to two decimal places
• Multiply decimals, opposite signs, each factor up to two decimal places, including integers up to 99
• Multiply decimals, both negative, each factor up to three decimal places
• Multiply decimals, opposite signs, each factor up to three decimal places
• Condensed: Multiply decimals, mixed signs
• Application of Multiplication of Decimals
• Multiply decimals, products limited to two decimal places, real-world context
• Multiply decimals, mixed signs, real-world context
• Multiply decimals, real-world context
• Division of Decimals
• Basic Division of Decimals, Only Positives
• Divide whole numbers by decimals, up to two decimal places, integer quotients
• Divide decimals by whole numbers, up to two decimal places
• Divide decimals, up to two decimal places in quotients
• Divide decimals, up to three decimal places
• Divide decimals, up to three decimal places in dividend & divisor
• Condensed: Divide decimals or whole numbers
• Basic Division of Decimals, Including Negatives
• Divide integers by decimals, two-digit dividend, divisor up to two decimal places, both negative
• Divide integers by decimals, two-digit dividend, divisor up to two decimal places, opposite signs
• Divide integers by decimals, two-digit dividend, divisor up to two decimal places, mixed signs
• Divide decimals, up to three decimal places, both negative
• Divide decimals, up to three decimal places, opposite signs
• Divide decimals, up to three decimal places
• Divide decimals, dividend up to four decimal places, divisor integer or up to two decimal places, both negative
• Divide decimals, dividend up to four decimal places, divisor integer or up to two decimal places, opposite signs
• Divide decimals, up to four decimal places
• Condensed: Divide decimals, mixed signs
• 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
• Divide decimals, same signs, real-world context
• Divide decimals, mixed signs, real-world context
• Mixed Operations 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
• Add or subtract three decimals, positive & negative, hundredths
• Add or subtract four decimals, positive & negative, hundredths
• Multiply & divide three decimals, mixed signs
• Condensed: Add, subtract, multiply, & divide decimals, up to two decimal places
• Rational Numbers
• Classifying Rational Numbers
• Classify rational numbers by definitions
• Classify rational numbers using graphic organizers
• Classify rational numbers, including graphic organizers
• Determine relationships between subsets of real numbers
• Determine relationships between subsets of rational numbers
• Absolute Value of Rational Numbers
• Determine absolute value of integers
• Determine absolute value of rational numbers
• Determine absolute value of integers, including real-world context
• Determine absolute value of numeric expression
• Comparing & Ordering Rational Numbers
• Condensed: Order positive decimals & fractions
• Order decimals & fractions
• Order positive rational numbers, no radicals, no exponents
• Order rational numbers, no radicals, no exponents
• Given table, order rational numbers, real-world context
• Given set or list, order rational numbers, real-world context
• Order real numbers, exponents are positive
• Order real numbers, positive exponents, percents are whole, including real-world context
• Order real numbers, positive exponents, percents are whole, including real-world context
• Estimating Rational Numbers
• Basic Estimating of Rational Numbers
• Estimate sum of rational numbers, round both to nearest whole
• Estimate differences of rational numbers
• Estimate products of mixed numbers
• Estimate products of rational numbers, no decimals, round both factors to same place value
• Estimate products of rational numbers
• Estimate quotients of rational numbers, no decimals
• Application of Estimating Rational Numbers
• Estimate sum of rational numbers, round both to nearest whole, real-world context
• Estimate differences of rational numbers, real-world context
• Estimate products of positive rational numbers, real-world contexts
• Estimate products of rational numbers, no decimals, round both factors to nearest whole number, real-world context
• Estimate quotients of rational numbers, no decimals, real-world context
• Estimate quotients of rational numbers, real-world context
• Order of Operations of Rational Numbers
• Evaluate numerical expressions, # ± #(#), decimals
• Evaluate numerical expressions, #/# + #, decimals
• Evaluate numerical expressions, #(# + #), decimals
• Evaluate numerical expressions, decimals, no exponents
• Evaluate numerical expressions, fractions, no exponents
• Evaluate numerical expressions, decimals & fractions, no exponents
• Evaluate numerical expressions, decimals
• Evaluate numerical expressions, fractions
• Evaluate numerical expressions, decimals & fractions
• Evaluate numerical expressions, including rationals & up to two sets of grouping symbols
• Mixed Operations of Rational Numbers
• Multiply decimals times fractions, at least one negative
• Multiply fractions times decimals, at least one negative
• Condensed: Multiply decimals & fractions
• Divide decimal by fraction, both less than one, both positive
• Divide fraction by decimal, both less than one, both positive
• Divide decimal by fraction, both less than one, mixed signs
• Divide fraction by decimal, both less than one, mixed signs
• Condensed: Divide decimals & fractions, both less than one
• Solve multi-step problems with rational numbers, including percents, real-world context
• Scientific Notation
• Basic Scientific Notation
• Identify correct conversion of number from scientific notation with positive exponent to standard form
• Identify correct conversion of number from scientific notation with negative exponent to standard form
• Identify correct conversion of number from standard form to scientific notation with positive exponent
• Identify correct conversion of number from standard form to scientific notation with negative exponent
• Convert number from scientific notation with positive exponent to standard form
• Convert number from scientific notation with negative exponent to standard form
• Multiply decimal or whole number & 10 to negative exponent
• Convert number from standard form to scientific notation with positive exponent
• Convert number from standard form to scientific notation with negative exponent
• Condensed: Identify correct conversion of number between scientific notation & standard form
• Condensed: Convert number between scientific notation & standard form
• Application of Scientific Notation
• Convert numbers between standard form & scientific notation, real-world context
• Convert number from standard form to scientific notation, real-world context
• Operations with Scientific Notation
• Add numbers in scientific notation
• Subtract numbers in scientific notation
• Multiply numbers in scientific notation
• Divide numbers in scientific notation
• Condensed: Add, subtract, multiply, & divide numbers in scientific notation
• Powers of Ten
• Determine equivalent powers of 10 & fractions, decimals, or whole numbers
• Round & convert number from standard form to scientific notation with positive exponent
• Round & convert number from standard form to scientific notation with negative exponent
• Condensed: Round & convert number from standard form to scientific notation
• Comparing & Ordering Scientific Notation
• Compare two numbers in scientific notation
• Compare magnitude of numbers in scientific notation, real-world context
• Determine square roots of perfect squares
• Solve perfect square root equations
• Condensed: Determine square roots of perfect squares
• Evaluate perfect cube roots
• Solve perfect cube root equations
• Condensed: Determine cube roots of perfect cubes
• Expressions
• Translating Expressions
• Interpret numerical expressions
• Given phrase, determine one-step algebraic expression
• Determine algebraic expressions that represent real-world situations
• Identify equivalent multi-step algebraic expressions & phrases
• Determine algebraic expressions that represent real-world situations, including two-variable expressions
• Identify algebraic expressions, involving distribution, real-world context
• Identify equivalent expressions involving distribution, two or more terms
• Given phrase, determine multi-step algebraic expression
• Given phrase, determine & evaluate multi-step algebraic expression
• Equivalent Expressions
• Identify equivalent numerical expressions using counters
• Identify equivalent algebraic expressions using algebra tiles
• Identify equivalent expressions involving distribution
• Identify equivalent expressions or determine simplified expressions
• Identify equivalent numerical & algebraic expressions, including distribution, including real-world context
• Evaluating Expressions
• Basic Evaluating Expressions, Addition & Subtraction Only
• Evaluate addition expressions for specified value, one variable, whole numbers
• Evaluate addition expressions for specified value, one variable, at least one fraction
• Evaluate addition expressions for specified value, one variable, at least one decimal
• Evaluate subtraction expressions for specified value, one variable, whole numbers
• Evaluate subtraction expressions for specified value, one variable, at least one fraction
• Evaluate subtraction expressions for specified value, one variable, at least one decimal
• Basic Evaluating Expressions
• Evaluate expressions for specified value, one variable, one term, two factors
• Evaluate expressions for specified value, one variable, one term, three factors
• Evaluate expressions for specified value, one variable, two terms
• Evaluate expressions for specified values, two variables, two terms
• Evaluate expressions for specified value, one variable, two terms, only sums & differences
• Evaluate expressions for specified values, two variables, two terms, one term with three factors
• Evaluate expressions for specified value, one variable, two terms, multiple operations, including absolute value & powers
• Application of Evaluating Expressions
• Evaluate or identify expressions that represent situations from descriptions, real-world context
• Evaluate expressions for specified values, two variables, multiple operations, including powers & real-world context
• Condensed: Evaluate expressions, including powers, fractions, whole numbers, & decimals, including real-world context
• Distributing or Factoring Expressions
• Simplify algebraic expressions, one variable, distribute once, integer multiplier
• Simplify algebraic expressions, one variable, distribute once, decimal multiplier
• Simplify algebraic expressions, one variable, distribute once, fraction multiplier
• Condensed: Simplify algebraic expressions, one variable, distribute once, including fraction & decimal multipliers
• Simplify algebraic expressions, one variable, distribute once, three or four grouped terms
• Factor GCF from linear binomial expressions, both terms positive
• Factor GCF from linear binomial expressions, both terms negative
• Factor GCF from linear binomial expressions, mixed signs
• Condensed: Factor GCF from linear binomial expressions
• Distribute or factor, linear binomial expressions
• Simplifying Variable Expressions
• Simplify algebraic expressions, combine two terms, positives
• Simplify algebraic expressions, combine two terms
• Simplify algebraic expressions, one variable, positive integer coefficients
• Simplify algebraic expressions, one variable, integer coefficients
• Simplify algebraic expressions, one variable, rational coefficients
• Simplify algebraic expressions, one variable, product of two factors
• Simplify algebraic expressions, one variable, product of two or three factors, one variable factor
• Simplify algebraic expressions, one variable, product of two or three factors
• Simplify algebraic expressions, product of two variable factors
• Simplify algebraic expressions, one variable, product of three factors, two variable factors
• Simplify algebraic expressions, two variables, positive integer coefficients
• Equations
• Solving One-Step Equations
• Solve x + a = b, a > 0, b > 0, x > 0
• Solve x + a = b, a > 0, b > 0, x < 0
• Solve x + a = b, a > 0, b < 0, x < 0
• Solve x + a = b, a < 0, b > 0, x > 0
• Solve x + a = b, a < 0, b < 0, x > 0
• Solve x + a = b, a < 0, b < 0, x < 0
• Solve a + x = b
• Subtraction One-Step Equations
• Solve x – a = b, a > 0, b > 0, x > 0
• Solve x – a = b, a > 0, b > 0, x < 0
• Solve x – a = b, a > 0, b < 0, x > 0
• Solve x – a = b, a < 0, b > 0, x > 0
• Solve x – a = b, a < 0, b > 0, x < 0
• Solve x – a = b, a < 0, b < 0, x < 0
• Multiplication One-Step Equations
• Solve ax = b, a > 0, b > 0
• Solve ax = b, a > 0, b < 0
• Solve ax = b, a < 0, b > 0
• Solve ax = b, a < 0, b < 0
• Solve -x = b
• Solve x/a = b, a > 0, b > 0
• Solve x/a = b, a > 0, b < 0
• Solve x/a = b, a < 0, b > 0
• Solve x/a = b, a < 0, b < 0
• Condensed: Solve one-step linear equations, multiplication or division
• Condensed: Solve one-step linear equations, including fractional coefficients & fractional answers
• Solve one-step linear equations, fractional coefficients & constants
• Division One-Step Equations
• Solve x/a = b, a > 0, b > 0
• Solve x/a = b, a > 0, b < 0
• Solve x/a = b, a < 0, b > 0
• Solve x/a = b, a < 0, b < 0
• Solving One-Step Equations
• Condensed: Solve one-step linear equations, addition or subtraction
• Condensed: Solve one-step linear equations, multiplication or division
• Solve one-step linear equations, fractional coefficients
• Solve one-step linear equations, fractional answers
• Solve one-step linear equations, fractional coefficients & constants
• Condensed: Solve one-step linear equations, including fractional coefficients & fractional answers
• Application of One-Step Equations, Addition
• Determine addition equations, real-world context
• Solve addition equations, real-world context
• Determine & solve addition equations, including real-world context
• Determine & solve or apply addition equations, real-world context
• Determine, solve, & apply addition equations, real-world context
• Appllication of One-Step Equations, Multiplication
• Determine multiplication equations, real-world context
• Determine & solve multiplication equations, real-world context
• Determine & solve multiplication equations, including real-world context
• Determine & solve multiplication equations, including required rounding, real-world context
• Determine, solve, & apply multiplication equations, real-world context
• Determine, solve, & apply multiplication equations, including required rounding, real-world context
• Application of One-Step Equations, Mixed
• Determine one-step equations, including decimals, real-world context
• Given one-step linear equation, identify real-world situation represented by equation
• Given rate & time, determine distance
• Given distance & rate or time, determine missing quantity
• Solving Two-Step Equations
• Application & Modeling of Two-Step Equations
• Solve two-step linear equations, algebra tiles, positive coefficients
• Solve two-step linear equations, algebra tiles
• Determine two-step linear equations, real-world context
• Determine equations or identify real-world situations represented by one-step or two-step equations
• Given two-step linear equation, identify real-world situation represented by equation
• Solve problems that can be represented by two-step equations, real-world context
• Determine solutions to problems using common formulas, including simple interest, area & perimeter, & d = rt, real-world context
• Multiplication Two-Step Equations with Addition
• Solve ax + b = c, a > 0, b > 0, c > 0, x > 0
• Solve ax + b = c, a > 0, b > 0, c < 0, x < 0
• Solve ax + b = c, a > 0, b < 0, c > 0, x > 0
• Solve ax + b = c, a < 0, b > 0, c > 0, x > 0
• Solve ax + b = c, a < 0, b < 0, c > 0, x < 0
• Solve ax + b = c, b > 0, c > 0, x < 0
• Solve ax + b = c, b < 0, c < 0, x < 0
• Solve ax + b = c, a < 0, b < 0, c < 0, x < 0
• Solve ax + b = c, a > 0, b < 0, c < 0, x > 0
• Multliplication Two-Step Equations with Subtraction
• Solve ax – b = c, a > 0, b < 0, c > 0, x > 0
• Solve ax – b = c, a > 0, b < 0, c < 0, x < 0
• Solve ax – b = c, a > 0, b > 0, c < 0, x > 0
• Solve ax – b = c, a < 0, b > 0, c > 0, x < 0
• Solve ax – b = c, a < 0, b > 0, c < 0, x < 0
• Solve ax – b = c, b < 0, c > 0, x < 0
• Solve ax – b = c, b > 0, c < 0, x < 0
• Solve ax – b = c, a < 0, b < 0, c > 0, x > 0
• Solve ax – b = c, a > 0, b > 0, c > 0, x > 0
• Solve ax ± b = c
• Division Two-Step Equations with Addition
• Solve x/a + b = c, a > 0, b > 0, c > 0, x > 0
• Solve x/a + b = c, a > 0, b > 0, c < 0, x < 0
• Solve x/a + b = c, a > 0, b < 0, c > 0, x > 0
• Solve x/a + b = c, a < 0, b > 0, c > 0, x > 0
• Solve x/a + b = c, a < 0, b < 0, c > 0, x < 0
• Solve x/a + b = c, b > 0, c > 0, x < 0
• Solve x/a + b = c, a > 0, b < 0, c < 0, x > 0
• Solve x/a + b = c, b < 0, c < 0, x < 0
• Solve x/a + b = c, a < 0, b < 0, c < 0, x < 0
• Division Two-Step Equations with Subtraction
• Solve x/a – b = c, a > 0, b < 0, c > 0, x > 0
• Solve x/a – b = c, a > 0, b < 0, c < 0, x < 0
• Solve x/a – b = c, a > 0, b > 0, c > 0, x > 0
• Solve x/a – b = c, a < 0, b < 0, c > 0, x > 0
• Solve x/a – b = c, a < 0, b > 0, c > 0, x < 0
• Condensed: Solve x/a ± b = c
• Solve x/a – b = c, b < 0, c > 0, x < 0
• Solve x/a – b = c, a > 0, b > 0, c < 0, x > 0
• Solve x/a – b = c, b > 0, c < 0, x < 0
• Solve x/a – b = c, a < 0, b > 0, c < 0, x < 0
• Rational Coefficient Two-Step Equations
• Determine if given value is solution to two-step linear equations
• Solve two-step linear equations, decimal coefficients
• Solve two-step linear equations, fractional coefficients
• Condensed: Solve one- or two-step linear equations, fractional coefficients
• Solving Multi-Step Equations
• Application & Modeling of Multi-Step Equations
• Given algebra tiles, determine & solve one-variable equations with variables on both sides
• Solve problems that can be represented by one-step equations, including algebra tiles, real-world context
• Determine linear equations & solve problems that can be represented by equations with distributive property on one side, real-world context
• Determine & solve linear equations with variables on both sides, real-world context
• Basic Multi-Step Equations
• Solve linear equations, distributive property on one side
• Solve three-step linear equations involving distribution of decimal multiplier
• Solve three-step linear equations involving distribution, fractional multiplier cancels if distributed
• Solve three-step linear equations involving distribution, fractional multiplier doesn’t cancel if distributed
• Condensed: Solve three-step linear equations involving distribution, including fractional & decimal answers
• Solve (ax ± b)/c = d
• Solve linear equations, variables as numerators on both sides
• Solve linear equations, binomials on both sides, decimals
• Solve linear equations, binomials on both sides, fractions
• Solve multi-step linear equations
• Inequalities
• Identifying & Graphing Inequalities
• Graph inequalities on number line
• Given graph, determine inequality
• Determine graph from inequality or inequality from graph
• Identify solutions to inequalities, including real-world context
• Solving One-Step Inequalities
• Basic One-Step Inequalities
• Solve one-step inequalities, x + #
• Solve one-step inequalities, x – #
• Condensed: Solve one-step inequalities, x ± #
• Solve one-step inequalities, a * x, a > 0
• Solve one-step inequalities, a * x, a < 0
• Condensed: Solve one-step inequalities, a * x
• Solve one-step inequalities, x/a, a > 0
• Solve one-step inequalities, x/a, a < 0
• Condensed: Solve one-step inequalities, x/a
• Basic Solving & Graphing of One-Step Inequalities, Addition & Subtraction
• Solve & graph one-step inequalities, x + #
• Solve & graph one-step inequalities, x – #
• Condensed: Solve & graph one-step inequalities, x ± #
• Basic Solving & Graphing One-Step Inequalities, Multiplication & Division
• Solve & graph one-step inequalities, a * x, a > 0
• Solve & graph one-step inequalities, a * x, a < 0
• Condensed: Solve & graph one-step inequalities, a * x
• Solve & graph one-step inequalities, x/a, a > 0
• Solve & graph one-step inequalities, x/a, a < 0
• Condensed: Solve & graph one-step inequalities, x/a
• Basic Solving & Graphing of One-Step Inequalities, Mixed Operations
• Solve & graph one-step inequalities, whole number coefficients
• Solve & graph one-step inequalities, integer coefficients
• Solve & graph one-step inequalities, including fractional coefficients
• Solve & graph one-step inequalities, including negative & fractional coefficients
• Application of One-Step Inequalities
• Given inequality, identify phrase or real-world problem that represents inequality
• Represent real-world problems as inequalities
• Determine one-step inequalities, including real-world context
• Determine one-step inequalities, rational numbers, including real-world context
• Identify one-step inequalities that model real-world problems or interpret inequality components
• Given one-step inequality, identify real-world problem modeled by inequality
• Given one-step inequality, identify real-world problem modeled by inequality, rational numbers
• Determine, solve, & graph one-step inequalities, including real-world context
• Solving Two-Step Inequalities
• Application & Modeling of Two-Step Inequalities
• Determine if given value is solution to two-step inequality
• Solve two-step inequalities modeled with algebra tiles
• Determine two-step inequalities, rational numbers, including real-world context
• Given two-step inequality, identify real-world problem modeled by inequality
• Determine & solve two-step inequalities, greater than, real-world context
• Determine & solve two-step inequalities, less than, real-world context
• Basic Two-Step Inequalities
• Solve two-step inequalities, integers
• Solve two-step inequalities, decimals
• Solve two-step inequalities, fractions
• Condensed: Solve two-step inequalities
• Basic Solving & Graphing of Two-Step Inequalities
• Solve & graph two-step inequalities, integers
• Solve & graph two-step inequalities
• Solve & graph two-step inequalities, decimals
• Solve & graph two-step inequalities, fractions
• Condensed: Solve & graph two-step inequalities
• Linear Concepts
• Slope of a Line
• Identifying Slope Category
• Given linear graph, identify type of slope
• Identify linear graph with specific type of slope
• Given linear equation, identify type of slope
• Given table of linear equation, identify type of slope
• Condensed: Identify type of slope
• Given graph of horizontal or vertical line, determine rate of change
• Finding Slope, Given Equation
• Given equation in slope-intercept form, determine rate of change, integer solution
• Given equation in slope-intercept form, determine rate of change
• Given equation of horizontal or vertical line, determine rate of change
• Given equation in point-slope form, identify slope
• Given linear equation in standard form, determine rate of change
• Given table of linear equation, determine rate of change
• Finding Slope, Given Points Or Graph
• Given two points, determine rate of change, one coordinate is fraction
• Given two points with integer coordinates, determine rate of change
• Given two points, determine rate of change, integer solution, including undefined
• Given two points, determine rate of change, two coordinates are fractions
• Given linear graph, determine rate of change, integer solution
• Given linear graph, determine rate of change
• Given linear graph, determine rate of change, various scales
• Comparing Slopes
• Identify linear graph with most extreme rate of change
• Identify linear table with most extreme rate of change
• Given description, compare rates of change, real-world context
• Finding & Using Slope
• Given equation in slope-intercept form, determine next value in table, Δx = 1
• Given equation in slope-intercept form, determine next value in table
• Given equation in slope-intercept form, determine values in table
• Given table, determine rate of change & specific value, function notation, integer rate of change
• Given table, determine rate of change & specific value, function notation
• Given table of linear equation, determine rate of change & specific value
• Intercepts, Given Graph
• Given linear graph, plot y-intercept
• Given linear graph, plot x-intercept
• Given linear graph, determine coordinates of y-intercept
• Given linear graph, determine coordinates of x-intercept
• Given linear graph, locate intercept or determine coordinates, various scales
• Intercepts, Given Equation
• Given linear equation in slope-intercept form, determine coordinates of y-intercept
• Given equation of horizontal or vertical line, determine coordinates of y-intercept
• Given linear equation in slope-intercept form, determine coordinates of x-intercept
• Given equation of horizontal or vertical line, determine coordinates of x-intercept
• Given linear equation in slope-intercept form, plot y-intercept
• Given equation of horizontal or vertical line, plot y-intercept
• Given linear equation, determine intercepts
• Given linear equation in standard form, determine coordinates of y-intercept
• Writing Equation of a Line
• Writing Equation Given Point & Slope
• Given point & integer slope, determine linear equation in point-slope form, including slope-intercept form conversion
• Given slope & y-intercept, determine equation
• Given point & integer slope, determine linear equation in slope-intercept form
• Given point & integer slope or rate of change, determine linear equation in slope-intercept form
• Given point & fractional slope, determine linear equation in point-slope form, including slope-intercept form conversion
• Given point & fractional slope, determine linear equation in slope-intercept form, integer y-intercept
• Given point & fractional slope, determine linear equation in slope-intercept form, fractional y-intercept
• Given positive point & whole number slope, determine y-intercept, equation, & specific value
• Given point & integer slope, determine y-intercept, equation, & specific value
• Writing Equation Given Two Points
• Given two points, determine linear equation in point-slope form, integer slope, including slope-intercept form conversion
• Given two points, determine linear equation in point-slope form, fractional slope, including slope-intercept form conversion
• Given two points, determine linear equation, undefined slope
• Given two points, determine linear equation, zero slope
• Given two points, determine linear equation in slope-intercept form, integer slope
• Given two points, determine linear equation in slope-intercept form, fractional slope
• Given two points, determine linear equation in standard form, integer slope, including slope-intercept form conversion
• Given two points, determine linear equation in standard form, fractional slope, including slope-intercept form conversion
• Writing Equation Given Various Components
• Identify equivalent linear graphs & equations in slope-intercept form
• Identify equivalent linear graphs & equations in slope-intercept form, various scales
• Condensed: Identify equivalent linear graphs & equations in slope-intercept form, integers slopes, various scales
• Given points or slope & point, determine linear equation in point-slope or standard form
• Given points or slope & point, determine linear equation in standard form
• Given points or slope & point, determine linear equation in various forms
• Given intercepts, determine linear equation in slope-intercept form
• Condensed: Given two points, determine linear equation in slope-intercept form, including horizontal & vertical lines
• Condensed: Given linear graph, determine equation in slope-intercept form & specific value, various scales, including real-world context
• Writing Equation Given Graph
• Given Graph of y-Intercept of Zero, Write Equation
• Given linear graph through origin with points shown on line, determine equation in slope-intercept form, integer slopes
• Given linear graph through origin, determine equation in slope-intercept form, integer slope, 1 ≤ |m| ≤ 3
• Given linear graph through origin, determine equation in slope-intercept form, integer slope
• Given Graph with Varying y-Intercepts, Write Equation
• Given linear graph, determine equation in point-slope form
• Given linear graph, determine equation in slope-intercept form, m = 1
• Given linear graph, determine equation in slope-intercept form, integer slopes
• Given linear graph, determine equation in slope-intercept form, fractional slopes
• Given linear graph, determine slope, y-intercept, & equation
• Given linear graph, determine equation in standard form
• Given linear graph, identify equation, slope-intercept form
• Given linear graph, identify equation, various forms
• Given Graph with Varying y-Intercepts & Scales, Write Equation
• Given linear graph, determine equation in slope-intercept form, m = 1, various scales
• Given linear graph, determine equation in slope-intercept form, integer slopes, various scales
• Given linear graph, determine equation in slope-intercept form, m = ±1, various scales
• Given linear graph, determine equation in slope-intercept form & specific value, various scales
• Given linear graph, identify equation in slope-intercept form, integer slopes, various scales
• Given equation in slope-intercept form, identify graph, integer slopes, various scales
• Condensed: Identify equivalent linear graphs & equations in slope-intercept form, integers slopes, various scales
• Identifying Key Features of a Linear Function
• Given linear graph, determine slope & y-intercept, integer slope
• Given linear graph, determine slope & y-intercept
• Given graph of linear equation, determine slope & intercepts
• Given table of linear equation, determine slope & intercepts
• Given linear equation, determine slope & intercepts
• Given linear equation in standard form, solve for y
• Given linear equation in standard form, determine slope
• Condensed: Given linear equation in standard form, solve for y or determine slope
• Determining Solution of Linear Equation
• Given horizontal or vertical linear equation, determine if point is on line
• Given linear equation in slope-intercept form, determine if point is on line
• Given linear equation in standard form, determine if point is on line
• Given horizontal or vertical linear equation, identify point on line
• Given linear equation in slope-intercept form, identify point on line
• Given linear equation in standard form, identify point on line
• Given graph of linear equation, identify point on line
• Condensed: Given linear equation in slope-intercept form & graph, identify point on line
• Identify linear & non-linear relationships, various representations
• Equations, Graphs, & Tables
• Equation to Table, m=1
• Given linear equation, fill missing value in table, m = 1
• Given linear equation & table, determine another point, m = 1
• Given linear equation, fill missing value in table, m = 1, Δx ≥ 5
• Given linear equation, fill table, m = 1
• Equation to Table
• Given horizontal or vertical linear equation, fill table
• Given linear equation & two x-values, determine y-values in table
• Given linear equation, fill missing value in table, integer slope
• Given linear equation, fill missing value in table, integer slope, b = 0, Δx ≥ 5
• Given linear equation, fill missing value in table, integer slope, Δx ≥ 5
• Given linear equation, fill table, integer slope, b = 0
• Given linear equation, fill table, integer slope
• Given linear equation, determine table values
• Given linear equation & one x-value, determine y-value in table
• Equation to Graph
• Standard Form to Graph
• Given linear equation in standard form, graph
• Given linear equation in standard form, graph, scrambled variable terms
• Condensed: Determine linear equation in standard form & graph, including real-world context
• Slope-Intercept Form to Graph
• Given linear equation & table, determine graph
• Graph linear equations, m = 1
• Graph linear equations, m = 1, various scales
• Given equation in slope-intercept form, graph line, m = ±1, various scales
• Graph linear equations, integer slope, various scales
• Graph linear equations, integer slope not including one & negative one, b = 0
• Graph linear equations, integer slope not including one & negative one
• Graph linear equations, including horizontal & vertical, integer slope, various scales
• Graph linear equations, fractional slope
• Graph linear equations, fractional slope, various scales
• Condensed: Graph linear equations, including horizontal & vertical, various scales
• Condensed: Given linear equation or description, determine graph, fractional slope, including real-world context
• Basic Graphing
• Given point & integer slope, graph line
• Given point & slope, graph line
• Graph to Table
• Given linear graph with points shown on line, determine table value
• Given linear graph through origin with points shown on line, determine table values, one table point off graph
• Given linear graph through origin with points shown on line, determine table value, table point off graph
• Given linear graph through origin, determine table value
• Given linear graph, determine table value, m = 1, table point off graph
• Given linear graph through origin, determine table values, one table point off graph
• Given linear graph through origin, determine table value, table point off graph
• Given linear graph, determine table value, table point off graph
• Table to Equation
• Given table, identify linear equation in slope-intercept form, rational constants & coefficients
• Given table representing horizontal linear equation, determine equation
• Given table representing vertical linear equation, determine equation
• Given table, determine linear equation, m = 1
• Given table, determine linear equation, integer slope, b = 0
• Given table, determine linear equation, integer slope
• Linear Word Problems
• Identifying Key Features Given Verbal Description
• Given graph or table of linear function, determine slope or y-intercept, real-world context
• Given description of linear relationship, determine slope, y-intercept, & equation, real-world context
• Given description of linear equation, identify graph, fractional slope, real-world context
• Form 1 – Given slope & intercept, interpret linear relationship, determine slope-intercept equation, & graph, positive slope, only input to output questions
• Form 2 – Given slope & intercept, interpret linear relationship, determine slope-intercept equation, & graph, positive slope
• Form 3 – Given slope & intercept, interpret linear relationship, determine slope-intercept equation, & graph, including negative slope
• Form 4 – Given point & slope, interpret linear relationship, determine slope-intercept equation, & graph, including negative slope
• Form 5 – Given two points, interpret linear relationship, determine slope-intercept equation, & graph, including negative slope
• Condensed: Forms 3 to 5 – Given linear word problem, interpret linear relationship, determine slope-intercept equation, & graph
• Choosing Correct Model Given Verbal Description
• Given description of linear equation, identify graph, integer slope, real-world context
• Given linear word problem, identify graph
• Given linear equation, interpret slope & y-intercept, real-world context
• Given description of linear relationship, identify graph, table, or equation, real-world context
• Proportional Relationships
• Graphing Proportional Relationships
• Given unit rate, determine graph of proportional relationship, real-world context
• Given table, graph proportional linear equation
• Graph proportional linear equation
• Determine graph of proportional relationship, real-world context
• Identifying Independent & Dependent Variables
• Given table, identify dependent or independent variable
• Given equation, identify dependent or independent variable
• Given table or graph, identify dependent or independent variable
• Given description, identify dependent or independent variable
• Writing Equations, Completing Tables, or Graphing
• Given constant of proportionality, determine table, graph, or equation
• Given table, determine constant of proportionality, graph, or equation
• Given graph, determine constant of proportionality, table, or equation
• Given equation, determine constant of proportionality, graph, or table
• Condensed: Determine equivalent representations of proportional relationships
• Determine or identify equivalent representations of proportional relationships
• Determine equations, tables, & graphs for proportional relationships, real-world context
• Given visual representation of proportional relationship, determine equation, table, & graph, real-world context
• Finding Constant of Proportionality
• Given equation, determine constant of proportionality
• Given equation, determine constant of proportionality, real-world context
• Given table, determine constant of proportionality
• Given graph, determine constant of proportionality, including real-world context
• Determine constants of proportionality, real-world context
• Condensed: Determine constants of proportionality
• Identify linear graph with most extreme rate of change
• Identify linear table with most extreme rate of change
• Compare rates of changes represented differently
• Given description, compare rates of change, real-world context
• Proportional & Non-Proportional
• Given table, determine additive or multiplicative equation
• Identify graphs of additive & multiplicative relationships
• Condensed: Given additive or multiplicative relationship in table, determine equation
• Identify equivalent representations of additive & multiplicative relationships, including decimals & fractions
• Identify situations modeled by additive & multiplicative relationships
• Identify components of additive & multiplicative equations
• Completing Tables or Graphing
• Given linear equation & table, identify graph
• Identify tables that represent real-world situations, y = mx or y = x + b
• Given linear equation, determine y-values in table, real-world context
• Given linear equation, determine y-values in table & identify graph, first quadrant
• Given slope-intercept equation, determine table & identify graph
• Given linear equation & table, determine graph
• Writing Equations
• Given linear graph & table, determine equation
• Determine equations that represent real-world situations, y = mx or y = x + b
• Determine equations that represent real-world situations, including two-step equations
• Given additive relationship in table, determine equation
• Given multiplicative relationship in table, determine equation
• Identify equivalent representations of additive & multiplicative relationships
• Identify situations modeled by tables or equations, y = mx or y = x + b
• Writing Equations, Completing Tables, or Graphing Mixed
• Condensed: Determine tables or equations of additive & multiplicative relationships
• Condensed: Determine equations & graphs of additive & multiplicative relationships
• Identify representation of proportional relationship, various representations, real-world context
• Identifying Proportional vs. Non-Proportional
• Identify equations showing proportional relationship
• Identify graphs showing proportional relationship
• Identify tables showing proportional relationship
• Identify tables, graphs, or equations showing proportional relationship
• Identify proportional & non-proportional relationships, real-world context
• Geometry
• Perimeter & Area
• Rectangle Perimeter
• Determine perimeter of rectangles
• Given sides of rectangle, determine perimeter
• Given sides of rectangle, determine perimeter
• Determine perimeter of rectangles, including decimal dimensions
• Determine perimeter of rectangles, real-world context
• Determine perimeter of rectangles, including decimal dimensions, real-world context
• Condensed: Determine perimeter of rectangles, including real-world context
• Given perimeter of rectangle & one side, determine dimension
• Given perimeter of rectangle & one side, determine dimension, including decimals
• Given perimeter & relationship between sides, determine specific dimension
• Given perimeter & one dimension of rectangle, determine missing dimension
• Rectangle Area
• Given sides of rectangle, determine area, model provided
• Given sides of rectangle, determine area
• Given area & one dimension of rectangle, determine missing dimension
• Determine area of missing dimension of rectangles, real-world context
• Given sides of rectangle & cost per square unit, determine area & total cost, real-world context
• Parallelogram Perimeter & Area
• Determine area of parallelograms, model provided
• Determine area of parallelograms
• Determine area or perimeter of parallelograms
• Given area & one dimension of parallelogram, determine missing dimension
• Trapezoid Area
• Determine area of trapezoids
• Given area & base lengths of trapezoid, determine height
• Triangle Area
• 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
• Given area & one dimension of triangle, determine missing dimension
• Given area & one dimension of triangle, determine missing dimension, mixed numbers
• Circle Circumference & Area
• Determine circumference of circle, exact answers, multiple choice, including real-world context
• Given radius or diameter, determine circumference
• Determine area of circle, exact answers, including real-world context
• Given radius or diameter, determine area
• Given radius or diameter, determine area or circumference
• Condensed: Determine area or circumference of circle
• Determine areas of semicircles & quarter circles
• Given circumference of circle, determine radius or diameter
• Condensed: Given area or circumference of circle, determine radius or diameter
• Identify approximate formulas for circumference & area of circles
• Compound Figure Area
• Determine area of shaded region between nested rectangles
• Determine area of shaded region between nested shapes
• Determine area of composite figures, rectangle with various figures attached, no circular parts
• Determine area of composite figures, no circular shapes
• Determine area of composite figures, rectangle with various figures attached
• Determine area of composite figures, at least three subdivisions
• Determine area of composite figures
• Determine area of composite figures, real-world context
• Mixed Figures Perimeter & Area
• Identify formulas for area & perimeter of basic shapes
• Determine perimeter of polygons, including real-world context
• Determine areas of rectangles & parallelograms
• Determine areas of triangles & trapezoids
• Determine area of polygons in coordinate plane, real-world context
• Determine area of shaded region between nested shapes
• Given coordinates of vertices, determine side lengths & perimeter of polygons
• Given area, determine dimensions of rectangles & parallelograms
• Given area, determine dimensions of triangles
• Condensed: Determine areas & dimensions of rectangles & parallelograms
• Condensed: Determine areas & dimensions of triangles & trapezoids
• Surface Area & Volume
• Net Surface Area
• Given net, determine surface area of prisms
• Given net, determine surface area of pyramids
• Given net, determine surface area of prisms & pyramids
• Given net, determine surface area of rectangular & triangular prisms & pyramids
• Given net, determine lateral surface area of prisms
• Given net, determine lateral surface area of pyramids
• Given net, determine lateral surface area of prisms & pyramids, real-world context
• Condensed: Given net, determine surface area & lateral surface area of prisms & pyramids, including real-world context
• Rectangular Prism Surface Area & Volume
• Determine surface area of rectangular prisms
• Given base area & edge or all edges, determine volume of rectangular prism
• Determine volume of rectangular prisms, whole numbers or decimals
• Determine volume of rectangular prisms, whole numbers, decimals, or fractions
• Determine volumes of rectangular prisms, rational dimensions, real-world context
• Determine equations for volume of rectangular prisms, rational dimensions, 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
• Given volume, determine edges of rectangular prisms
• Determine volume or edge of rectangular prisms, whole numbers
• Determine volume or edge of rectangular prisms, whole numbers, decimals, or fractions, real-world context
• Condensed: Determine volumes or edges of rectangular prisms, whole numbers, decimals, or fractions, including real-world context
• Cube Volume
• Determine volume of cubes, whole numbers or decimals
• Determine volume of rectangular prisms, whole numbers or decimals
• Cylinder Surface Area & Volume
• Given base area & height, determine volume of cylinder
• Determine volume of cylinders
• Determine surface area of cylinders
• Determine lateral surface area of cylinders
• Given volume, determine dimension of cylinder
• Given surface area, determine dimension of cylinder
• Pyramid Surface Area & Volume
• Determine volume of pyramids
• Determine surface area of pyramids
• Given volume, determine dimension of pyramid
• Mixed Figures Surface Area & Volume
• Determine volumes of rectangular & triangular prisms, fractional dimensions
• Determine surface areas of 3D figures, no circles
• Determine surface area of 3D figures, real-world context
• Identify & determine relationship between volumes of rectangular prisms & pyramids
• Identify & determine relationship between volumes of triangular prisms & pyramids
• Condensed: Identify & determine relationship between volumes of prisms & pyramids
• Properties of Quadrilaterals & Triangles
• Classifying Triangles
• Given three sides, classify triangles
• Classify triangles based on angles & sides
• Triangle Angle Sum Theorem
• Given two angle measures in triangle, determine angle measure
• Apply triangle angle sum theorem to determine angles, multiple algebraic expressions
• Triangle Angle-Side Relationships
• Determine smallest & largest sides or angles in triangle
• Order angles in triangles
• Condensed: Determine angles & order side lengths & angles in triangles, including algebraic expressions
• Triangle Inequality Theorem
• Apply triangle inequality theorem to determine side lengths
• Apply triangle inequality theorem to determine range of values for unknown side
• Equilateral & Isosceles Triangles
• Solve problems involving perimeter of equilateral triangles
• Solve problems involving perimeter of isosceles triangles
• Condensed: Solve problems involving perimeter of equilateral & isosceles triangles
• Determine angle measure in isosceles triangle, at most one algebraic expression
• Given equilateral triangle & algebraic expression for angle, solve for variable
• Determine angle measure in isosceles triangle, up to two algebraic expressions
• Given equilateral triangle & algebraic expressions for sides, solve for variable or determine side length
• Similar Figures
• Similar Triangles
• Determine similar triangles using SAS similarity
• Determine similar triangles using SSS similarity
• Condensed: Determine similar triangles using SAS or SSS similarity
• Determine angles of similar triangles using AA similarity
• Determine sides of similar triangles using AA similarity
• Determine similarity of triangles using AA similarity
• Given similar triangles, determine perimeter
• Given similar triangles, determine area
• Similar Polygons
• Identify corresponding parts of similar figures
• Given similar figures, identify proportion of side lengths, triangles & quadrilaterals
• Given similar figures, identify proportion of side lengths, image orientations differ
• Identify similar polygons
• Determine dimensions in similar figures, whole number dimensions
• Determine dimensions using similar figures & indirect measurements
• Determine dimensions in similar figures
• Determine parts using similar triangles, including real-world context
• Given similar rectangles, determine perimeter
• Coordinate Plane
• Determine coordinates of first quadrant points
• Determine coordinates of first quadrant point, various scales
• Determine coordinates of first quadrant rational points
• Plot first quadrant points, various scales
• 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 Coordinates, First Quadrant
• Identify description of process to plot first quadrant points
• Identify locations or parts of coordinate plane using first quadrant points
• Identify first quadrant points or parts of coordinate plane
• 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
• Given integer point on graph, determine coordinates, point on axis
• Given integer point on graph, determine coordinates
• Given lattice point, determine coordinates
• Plot integer points on coordinate plane, point on axis
• Plot integer points
• Plot points on coordinate plane, student selects scales
• Condensed: Plot integer points or determine coordinates
• Given rational point, determine location on coordinate plane
• Plot rational points on coordinate plane
• Plot rational points on coordinate plane, graph scale at most one-half
• Plot or identify rational points on coordinate plane
• Condensed: Plot or identify points on coordinate plane
• Distance
• Determine distance between points on coordinate plane, horizontal or vertical
• Determine distance between points on coordinate plane, horizontal or vertical, real-world context
• Transformations
• Reflections
• Determine coordinates of reflected points
• Identify rule or reflected point on coordinate plane
• Given figure on coordinate plane, determine reflected coordinates
• Given coordinate vertices of figure, determine reflected image
• Translations
• Identify rule or determine translated point on coordinate plane
• Given figure on coordinate plane, determine translated coordinates
• Given coordinate vertices of figure, determine translated image
• Rotations
• Identify rule or rotated point on coordinate plane
• Given figure on coordinate plane, determine rotated coordinates
• Given coordinate vertices of figure, determine rotated image
• Dilations
• Identify rule or dilated point on coordinate plane, including variable scale factors
• Identify characteristics of dilations
• Mixed Transformations
• Identify characteristics of transformed lines
• Identify characteristics of transformed parallel lines
• Identify characteristics of transformed line segments
• Identify characteristics of transformed angles
• Identify characteristics of transformed lines, segments, & angles
• Identify characteristics of transformations
• Identify rule or determine transformed point on coordinate plane
• Identify rule for transformed shape on coordinate plane
• Composition of transformations on coordinate plane
• Identify reflections & rotations on coordinate plane
• Condensed: Identify rule or determine transformed point on coordinate plane
• Condensed: Given figure on coordinate plane or coordinate vertices, determine transformed image or coordinates
• Mixed Transformations, Congruence
• Given similar figures, identify description of transformations
• Identify congruence transformations
• Given congruent figures, identify description of transformations
• Condensed: Given similar or congruent figures, identify description of transformations
• 3D Figures
• Identify 3D figures & their bases
• Determine 2D orthographic representation of 3D blocks
• Identify equivalent representations of 3D figures & nets
• Angles
• Classifying Angles
• Identify angle names
• Identify angle pairs
• Vertical Angles & Adjacent Angles
• Given vertical angles, determine angle measure
• Given parallel lines with transversal & angle, determine vertical angle
• Given figure, determine missing part of adjacent angle
• Given vertical angles, determine angle measure, one algebraic expression
• Given parallel lines with transversal & angle, determine vertical angle, algebraic expressions
• Complementary Angles
• Given complementary angles, determine angle measure
• Given complementary angles, determine angle measure, one algebraic expression
• Supplementary Angles
• Given supplementary angles, determine angle measure
• Given vertical angles, determine supplementary angle measure
• Given supplementary angles, determine angle measure, one algebraic expression
• Alternate Interior & Alternate Exterior Angles
• Given parallel lines with transversal & angle, determine alternate interior angle
• Given parallel lines with transversal & angle, determine alternate exterior angle
• Given parallel lines with transversal & angle, determine alternate interior angle, algebraic expressions
• Given parallel lines with transversal & angle, determine alternate exterior angle, algebraic expressions
• Corresponding & Same-Side Interior Angles
• Given parallel lines with transversal & angle, determine corresponding angle
• Given parallel lines with transversal & angle, determine same-side interior angle
• Given parallel lines with transversal & angle, determine corresponding angle, algebraic expressions
• Given parallel lines with transversal & angle, determine same-side interior angle, algebraic expressions
• Adjacent, Vertical, Supplementary, & Complementary Angles
• Determine angle measures, including figures or descriptions
• Determine complementary, supplementary, or equivalent angle measures
• Given vertical, complementary, or supplementary angles, determine angle measure, one algebraic expression
• Determine angle measures in figures, one-step algebraic expressions
• Given vertical angles, determine supplementary angle measure, algebraic expressions
• Determine complementary, supplementary, or equivalent angle measures, algebraic expressions
• Determine angle measures in figures, algebraic expressions
• Determine angle measures in figures, two algebraic expressions
• Mixed Angles Formed by Transversals
• Given parallel lines with transversal & angle, identify specified angle pairs, uses “consecutive” terminology
• Given parallel lines with transversal, identify specified angle pairs, only numbered angles, uses “consecutive” terminology
• Given parallel lines with transversal & angle, determine supplement to corresponding angle
• Given parallel lines with transversal & angle, determine specified angle
• Determine angle measures involving parallel lines, one-step algebraic expressions
• Given parallel lines with transversal & angle, determine specified angle, algebraic expressions
• Determine angle measures involving parallel lines, algebraic expressions
• Determine angle measures involving parallel lines, algebraic expressions
• Given parallel lines with transversal & angle, determine supplement to corresponding angle, algebraic expressions
• Scale
• Given scale, determine specified dimension in scaled figure, real-world context
• Given scale, determine area in scaled figure, real-world context
• Compare measurements drawn with different scale factors
• Compare measurements of scaled shapes, including 3D shapes
• Ratios, Rates, & Proportions
• Ratios
• Simplifying Ratios
• Given ratio, identify table
• Condensed: Simplify ratios, identify equivalent ratios, & determine missing components of proportions
• Condensed: Determine ratios, relationship between ratio terms, & specified quantities, real-world context
• Representing Ratios
• Determine part to whole ratio, strip diagrams, real-world context
• Determine part to part ratio, strip diagrams, real-world context
• Determine part to whole ratio, decimal grids
• Determine part to part ratio, decimal grids
• Determine part to whole ratio, double number lines, real-world context
• Determine part to part ratio, including double number lines, including real-world context
• Determine part to whole ratio, various models
• Determine part to part ratio, various models
• Application of Ratios
• Given table, determine ratios, integers
• Compare rates or determine specified values in proportional relationships, real-world context
• Compare rates
• Determine specified values in proportional relationships, real-world context
• Given double number line model, determine percent or specified quantity, real-world context
• Condensed: Given extended ratio, determine ratio or specified quantity, real-world context
• Rates
• Basic Unit Rates
• Identify unit rates
• Given unit rate, determine specified value in proportional relationship, real-world context
• Determine unit rates, ratio tables, real-world context
• Determine unit rates, strip diagrams, real-world context
• Given double number line, determine unit rate, real-world context
• Application of Rates
• Determine unit rates, whole numbers, real-world context
• Determine unit rates, fractions, real-world context
• Determine unit rates, mixed numbers, real-world context
• Given rate, convert time unit to determine quantity over time interval, real-world context
• Given rate of travel, determine distance or time
• Determine & compare unit rates, real-world context
• Proportions
• Basic Proportions
• Solve proportions, whole numbers
• Solve proportions
• Solve proportions, mixed number components, whole number cross products
• Solve proportions, mixed number components
• Application of Proportions
• Solve proportions to convert measurement units
• Given proportional relationship, determine specified quantity, real-world context
• Solve proportions, exact answers, real-world context
• Solve proportions, rounded answers, real-world context
• Solve proportions involving time, real-world context
• Percents
• Converting Percents
• Convert percents to decimals
• Convert decimal percents to decimals
• Convert decimal percents less than one to decimals
• Convert percents to fractions
• Convert percents to fractions, real-world context
• Convert percents to mixed numbers
• Condensed: Convert percents to decimals & fractions
• Convert repeating decimals to fractions
• Basic Finding Total, Part, or Percent of Number
• Given percent & whole, determine part, exact answers
• Given part & percent, determine whole, exact answers
• Given percent & whole, determine part, whole number answers
• Given part & percent, determine whole
• Given part & whole, determine percent
• Application of Finding Total, Part, or Percent of Number
• Given percent & whole, determine part, real-world context
• Given part & percent, determine whole, real-world context
• Given part & whole, determine percent, real-world context
• Determine percent of change, whole numbers, including real-world context
• Determine percent of change, including real-world context
• Given percent, identify table that shows percent
• Determine specified values in tables involving percents
• Identify part of whole, real-world context
• Finding Tip, Tax, Markup, Markdown, & Commission
• Determine tips
• Determine tax
• Determine markups
• Determine commissions
• Condensed: Determine tip, tax, discount, or markup
• Determine discount, tax, or total cost
• Determine increases involving tips, tax, & markups
• Determine decreases involving sales, discounts, & markdowns
• Finding Percent of Change
• Determine percent of change, whole numbers, including real-world context
• Determine percent of change, including real-world context
• Calculating Simple & Compound Interest
• Determine simple interest
• Determine simple interest & total amount
• Given simple interest earned, determine principal, rate, or time
• Determine income tax for earned wages
• Determine savings in loan repayment based on various lengths of repayment
• Determine compound interest
• Determine annually compounded interest
• Condensed: Determine compound interest on savings & loans
• Determine & compare simple & compound interest
• Probability & Statistics
• Measures of Center & Spread
• Calculating Measures of Center & Spread
• Identify definition of mean, median, mode, or range
• 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
• Given various representations of data, identify mean, median, mode, & range
• Given mean, median, mode, or range, determine missing value in data set
• Given mean, median, or range, determine missing or additional value in data set
• Given additional value in data set, determine change in mean, median, mode, or range
• Determine interquartile range of data
• Interpreting Measures of Center & Spread
• Given various representations of data, identify outlier
• Identify measures of center based on data distribution
• Identify & interpret measures of center
• Identify & interpret measures of variability
• Graphical Displays of Data
• Dot Plots
• Determine mean from dot plots
• Determine median from dot plots
• Determine & compare means from two dot plots
• Determine & compare medians from two dot plots
• Determine mean absolute deviation from dot plots
• Compare mean absolute deviations from two dot plots
• Compare characteristics of side-by-side dot plots
• Box Plots
• Determine characteristics of boxplots
• Solve problems involving interpretation of box plots
• Solve problems involving interpretation of stacked box plots, real-world context
• Given boxplot, determine values from five-number summary
• Solve problems involving five-number summary
• Condensed: Determine five-number summary, including box plots
• Pie Charts
• Solve problems involving interpretation of pie charts
• Solve problems involving interpretation of pie charts displayed using fractions, decimals, or percents
• Determine percent of category in pie charts
• Frequency Tables
• Interpret two-way frequency tables, conditional distribution
• Interpret two-way frequency tables, marginal distribution
• Interpret two-way frequency tables, joint distribution
• Condensed: Interpret two-way frequency tables
• Determine two-way frequency tables
• Given two-way frequency tables, identify associations
• Determine specified probabilities in two-way frequency tables
• Histograms
• Given various representations of data, determine histogram
• Solve problems involving interpretation of histograms
• Mixed Graphical Displays
• Given data, determine statistical display
• Determine or interpret shapes & features of graphs
• Determine or interpret measures of center & spread from graphs
• Condensed: Solve problems involving interpretation of box plots & stem-&-leaf plots
• Statistical Data
• Determine sample size, various representations
• Identify biased samples & questions
• Identify samples & populations
• Compare data from two samples, various representations
• Identify simulations used to acquire simple random samples
• Identify simulations to model probability events
• Probability
• Basic Probability
• Determine sample spaces
• Classify probabilities by levels of likelihood
• Determine probabilities of single events
• Determine theoretical probabilities, fraction answers
• Determine probabilities & complementary probabilities of single events, including visual models
• Determine experimental probabilities, fraction answers
• Determine probabilities of flipping coins specified number of times
• Determine probabilities of flipping coins & rolling die
• Determine probabilities & odds, including visual models
• Compound Probability
• Determine sample spaces
• Determine size of sample spaces, compound events
• Given visual model, determine “or” probability as fraction, decimal, or percent
• Determine “or” probabilities
• Determine “or” probabilities as fractions, decimals, or percents
• Determine “and” probabilities, independent events, visuals provided
• Determine “and” probabilities, independent events, same sample space
• Determine “and” probabilities, independent events, two distinct sample spaces
• Determine “and” probabilities, independent & dependent events
• Determine “and” probabilities, independent & dependent events, including complementary events
• Condensed: Determine probabilities
• Predictions Using Probability
• Determine predicted values, theoretical probability
• Determine predicted values, experimental probability
• Determine predicted values or compare likelihood of events
• Determine predicted values, theoretical probability, compound events
• Determine predicted values, experimental probability, compound events
• Determine inferences from samples
• Conditional Probability
• Determine conditional probabilities from two-way frequency tables
• Determine conditional probabilities, including two-way frequency tables
• Conversions
• Metric to Customary Conversions
• Convert metric to customary units of length
• Convert metric to customary units of weight & mass
• Convert metric to customary units of volume & capacity
• Convert metric to customary units of length, calculator expected
• Convert metric to customary units of weight & mass, calculator expected
• Convert metric to customary units of volume & capacity, calculator expected
• Convert metric to customary units of length, including multi-step
• Convert metric to customary units of weight & mass, including multi-step
• Convert metric to customary units of volume & capacity, including multi-step
• Customary to Metric Conversions
• Convert customary to metric units of length
• Convert customary to metric units of weight & mass
• Convert customary to metric units of length, calculator expected
• Convert customary to metric units of weight & mass, calculator expected
• Convert customary to metric units of volume & capacity, calculator expected
• Convert customary to metric units of length, including multi-step
• Convert customary to metric units of weight & mass, including multi-step
• Customary & Metric Conversions
• Convert between customary & metric using dimensional analysis
• Convert between customary & metric using unit rates
• Convert between customary & metric using scale factors
• Convert between customary & metric, proportion bias
• Convert between customary & metric using conversion graphs
• Convert between customary & metric, real-world context
• Condensed: Convert between customary & metric
• Condensed: Convert between customary & metric using multiple representations of conversion factor
• Condensed: Convert between customary & metric, including multi-step
• Number Theory
• 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
• Identify equivalent expressions involving prime factorization
• 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
• Apply GCFs to determine number of items in groups, 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
• Apply LCMs to determine number of items in groups, 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
• Condensed: Apply GCFs & LCMs to determine number of items in groups, real-world context
• Financial Literacy
• Classify assets & liabilities
• Determine net worth, assets, & liabilities
• Determine minimum income necessary to balance budget
• Determine minimum hourly wage necessary to balance budget
• Determine budget allocations
• Determine savings in loan repayment based on various lengths of repayment