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8th Grade Skills

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  • Real Numbers
    • Classifying Real Numbers
      • Classify numbers as rational or irrational
      • Determine relationships between subsets of rational numbers
      • Determine relationships between subsets of real numbers
      • Determine result of adding & multiplying rational & irrational numbers
    • Approximating Values of Real Numbers
      • Identify location of rational or irrational numbers on number lines
      • Identify location of irrational numbers on number lines
      • Estimate irrational values
      • Estimate irrational numbers, integer radicands, including number line representations
      • Estimate irrational numbers, decimal radicands, including number line representations
      • Estimate irrational numbers, fraction radicands, including number line representations
      • Condensed: Estimate irrational numbers, including number line representations
      • Estimate irrational values, multiple terms or factors
      • Estimate irrational values, including cube roots & number line representations
    • Comparing & Ordering Real Numbers
      • Basic Comparing & Ordering Real Numbers
        • Compare rational numbers, positive
        • Order positive fractions
        • Order positive decimals
        • Condensed: Order positive decimals & fractions
        • Order decimals & fractions
        • Order positive rational numbers, no radicals, no exponents
        • Order rational numbers, no radicals, no exponents
        • Order real numbers, no exponents
        • Order real numbers, exponents are positive
        • Order real numbers
      • Application of Comparing & Ordering Real Numbers
        • Given table, order rational numbers, real-world context
        • Given set or list, order rational numbers, real-world context
        • Order real numbers, positive exponents, percents are whole, including real-world context
        • Order real numbers, positive exponents, percents are whole, including real-world context
    • Identifying Real Numbers on a Number Line
      • Identifying Integers on a Number Line
        • Identify integers on number lines, negative
        • Identify integers on number lines, negative, vertical number lines
      • Identifying Rational Numbers on a Number Line, Only Positives
        • Identifying Decimals on a Number Line, Only Positives
          • Given decimals, identify locations on number line
          • Identify decimals on number lines, positive
          • Identify decimals on number lines, vertical number lines, positive
          • Identify decimals on number lines, positive, vertical number lines
          • Plot decimals on number lines, increment 0.1 or 0.01
          • Identify or plot decimals on number lines, increment 0.1
          • Identify or plot decimals on number lines, increment 0.2
          • Identify or plot decimals on number lines, increment 0.5
          • Identify or plot decimals or determine lengths on number line, increment 0.01
          • Condensed: Identify or plot decimals on number lines
          • Compare decimals on number line
          • Identify & compare rational numbers on number lines, positive
        • Identifying Fractions on a Number Line, Only Positives
          • Identify or plot fractions or determine lengths on number line
      • Identifying Rational Numbers on a Number Line, Including Negatives
        • Identify or determine rational values on number line, vertical number lines
        • Identify rational numbers on number lines, negative 
        • Identify rational numbers on number lines, negative, vertical number lines
        • Identify location of rational numbers on number lines
        • Identify rational numbers on number lines, vertical number lines
        • Condensed: Identify rational numbers on number lines, including vertical number lines
        • Plot rational numbers on number lines, negative
        • Condensed: Identify or plot decimals or fractions on number lines
        • Condensed: Identify or plot rational numbers on number lines
        • Identify & compare rational numbers on number lines
  • Scientific Notation
    • Basic Scientific Notation
      • Basic Scientific Notation, Positive Exponents
        • Identify correct conversion of number from scientific notation with positive exponent to standard form
        • Identify correct conversion of number from standard form to scientific notation with positive exponent
        • Convert number from scientific notation with positive exponent to standard form
        • Convert number from standard form to scientific notation with positive exponent
        • Round & convert number from standard form to scientific notation with positive exponent
        • Compare two numbers in scientific notation
      • Basic Scientific Notation, Negative Exponents
        • 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 negative exponent
        • Convert number from scientific notation with negative exponent to standard form
        • Convert number from standard form to scientific notation with negative exponent
        • Round & convert number from standard form to scientific notation with negative exponent
      • Basic Scientific Notation, All Exponents
        • Condensed: Identify correct conversion of number between scientific notation & standard form
        • Condensed: Convert number between scientific notation & standard form
        • Condensed: Round & convert number from standard form to scientific notation
    • 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
    • Application of Scientific Notation
      • Convert number from standard form to scientific notation, real-world context
      • Convert numbers between standard form & scientific notation, real-world context
      • Add numbers in scientific notation, real-world context
      • Subtract numbers in scientific notation, real-world context
      • Multiply numbers in scientific notation, real-world context
      • Divide numbers in scientific notation, real-world context
      • Compare magnitude of numbers in scientific notation, real-world context
  • Exponents & Radicals
    • Numerical Exponential Expressions
      • Numerical Exponential Expressions, Whole Number Bases
        • Evaluate whole number raised to power, base up to 10, exponent up to six
        • Evaluate powers, whole number base, non-positive exponent
        • Rewrite negative powers as positive powers
        • Apply product rule for exponents, whole number bases & powers
        • Apply quotient rule for exponents, whole number bases & powers
        • Apply power rule for exponents, whole number bases & powers
        • Condensed: Apply product, quotient, or power rules for exponents, whole number bases & powers
        • Apply combination of product, quotient, & power rules for exponents, whole number bases & powers
        • Apply combination of product, quotient, & power rules for exponents, whole number bases, integer powers
      • Numerical Exponential Expressions, Integer Bases
        • Determine opposites of squares or cubes of positive integers
        • Determine squares or cubes of positive or negative integers
        • Evaluate powers, integer base, non-positive exponent, including negative coefficients
      • Numerical Exponential Expressions, Fractional Bases
        • Evaluate powers, fractional base, positive exponent
        • Evaluate powers, fractional base, negative exponent
        • Evaluate powers, fractional bases
    • Variable Exponential Expressions
      • Variable Exponential Expressions, Product Rule
        • Express repeated variables as powers, single variable
        • Express repeated variables as powers, multiple variables
        • Express repeated variables as powers, coefficients other than one
        • Apply product rule of exponents, one variable, positive exponents
        • Apply product rule of exponents, one variable, positive exponents, displayed with parentheses
        • Apply product rule of exponents, two variables, three to four factors, positive exponents
        • Apply product rule of exponents, two variables, four to six factors, positive exponents
      • Variable Exponential Expressions, Quotient Rule
        • Apply quotient rule of exponents, one variable, positive exponents, greater exponent in numerator
        • Apply quotient rule of exponents, one variable, positive exponents, greater exponent in denominator
        • Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, positive exponents
      • Variable Exponential Expressions, Power Rule
        • Apply power rule, one variable, positive exponents
        • Apply power rule, including multiple variables, positive exponents
      • Variable Exponential Expressions, Mixed Rules
        • Apply power & product rules of exponents, one variable, positive exponents
        • Apply power & product rules of exponents, multiple variables, positive exponents
        • Apply product, quotient, & power rules of exponents, one variable
    • Simplifying Roots
      • Determine square roots of perfect squares
      • Determine principal square root of perfect squares
      • Evaluate perfect cube roots
      • Compare perfect square & cube roots
      • Simplify square roots
      • Simplify square roots, coefficient greater than one
      • Condensed: Simplify square roots, including algebraic expressions
    • Solving Radicals
      • Determine square roots of perfect squares, radicand up to 100
      • Determine square roots of perfect squares, radicand up to 400
      • Solve perfect square root equations
      • Solve perfect cube root equations
      • Condensed: Determine square roots of perfect squares
      • Condensed: Determine cube roots of perfect cubes
      • Condensed: Evaluate & compare perfect square & cube roots
    • Operations with Radicals
      • Add & subtract radical expressions, one or two variables, simplified radicals
      • Add & subtract radical expressions, one or two variables, radicals to simplify
      • Multiply radical expressions, numbers & variables
      • Condensed: Add & subtract radical expressions
  • Expressions
    • Translating Expressions
      • Identify words or phrases that indicate specified operation or comparison
      • Interpret numerical expressions
      • Determine algebraic expressions that represent real-world situations
      • Given phrase, determine one-step algebraic expression
      • Identify equivalent multi-step algebraic expressions & phrases
      • Determine algebraic expressions that represent real-world situations, including two-variable expressions
      • Given phrase, determine multi-step algebraic expression
      • Given phrase, determine & evaluate multi-step algebraic expression
    • Evaluating Expressions
      • Evaluating Expressions, Only Positives
        • Evaluating Addition Expressions, Only Positives
          • 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 expressions for specified value, one variable, only sums, at least one decimal
        • Evaluating Subtraction Expressions, Only Positives
          • 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
          • Evaluate subtraction expressions for specified value, one variable, at least one decimal
        • Evaluating Multiplication Expressions, Only Positives
          • Evaluate multiplication expressions for specified value, one variable
          • Evaluate multiplication expressions for specified value, one variable, at least one fraction
          • Evaluate multiplication expressions for specified value, one variable, at least one decimal
        • Evaluating Division Expressions, Only Positives
          • Evaluate division expressions for specified value, one variable
          • Evaluate division expressions for specified value, one variable, at least one fraction
          • Evaluate division expressions for specified value, one variable, at least one decimal
      • Evaluating Expressions, Including Negatives
        • 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, only sums & differences
        • Evaluate expressions for specified value, one variable, two terms, multiple operations, including absolute value & powers
        • Evaluate expressions for specified value, one variable, two terms, multiple operations, including powers of absolute values
        • Evaluate expressions for specified value, one variable, two terms
        • Condensed: Evaluate expressions for specified value, one variable
        • Evaluate expressions for specified values, two variables, two terms
        • Evaluate expressions for specified values, two variables, two terms, one term with three factors
        • Evaluate expressions for specified values, two variables, multiple operations, including absolute value & powers
        • Evaluate expressions for specified values, two variables, quotient of expressions
        • Evaluate algebraic expressions, including variable exponents
    • Simplifying Expressions
      • Combining Like Terms
        • 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, two variables, positive integer coefficients
        • Simplify algebraic expressions, two variables, integer coefficients
      • Distributive Property
        • Simplify algebraic expressions, one variable, distribute once, integer multiplier
        • Simplify algebraic expressions, one variable, distribute once, variable multiplier
        • Simplify algebraic expressions, one variable, distribute once, variable with coefficient multiplier
        • Condensed: Simplify algebraic expressions, one variable, distribute once, including variable multipliers
        • Simplify algebraic expressions, one variable, distribute once, fraction multiplier
        • Simplify algebraic expressions, one variable, distribute once, decimal multiplier
        • Condensed: Simplify algebraic expressions, one variable, distribute once, including fraction & decimal multipliers
      • Distributive Property & Combining Like Terms
        • Identify equivalent expressions involving distribution, two or more terms
        • Simplify algebraic expressions, one variable, distribute once, three or four grouped terms
        • Simplify algebraic expressions, one variable, distribute once & subtract from constant or variable term
        • Simplify algebraic expressions, one variable, distribute once & combine like terms
        • Simplify algebraic expressions, one variable, distribute once & product of two factors
        • Condensed: Simplify algebraic expressions, one variable, distribute once, including combine like terms & product of two factors
        • Simplify algebraic expressions, one variable, distribute twice
        • Simplify algebraic expressions, two variables, distribute twice
  • Equations
    • Solving One-Step Equations
      • Addition 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 one-step linear equations, fractional coefficients & constants
        • Solve one-step linear equations, fractional coefficients
        • Solve one-step linear equations, fractional answers
        • Condensed: Solve one-step linear equations, including fractional coefficients & fractional answers
      • 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
      • Mixed Operations One-Step Equations
        • Condensed: Solve one-step linear equations, addition or subtraction
        • Condensed: Solve one-step linear equations, multiplication or division
      • Application of One-Step Equations
        • Given rate & time, determine distance
        • Given distance & rate or time, determine missing quantity
        • Determine one-step linear equations, real-world context
        • Determine one-step equations, including decimals, real-world context
        • Given one-step linear equation, identify real-world situation represented by equation
        • Given one-step equation, identify real-world situation represented by equation
        • Determine & solve one-step linear equations, real-world context
    • Solving Two-Step Equations
      • Multiplication Two-Step Equations
        • Multiplication Two-Step Equations with Addition
          • 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, 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, 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
        • Multiplication Two-Step Equations with Subtraction
          • 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, 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, 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
      • Division Two-Step Equations
        • Division Two-Step Equations with Addition
          • 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, 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, a < 0, 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, 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, a < 0, b > 0, c > 0, x < 0
          • Solve x/a – b = c, a < 0, b > 0, c < 0, x < 0
      • Mixed Operations Two-Step Equations
        • Condensed: Solve x/a ± b = c
        • Condensed: Solve two-step linear equations
        • Solve two-step linear equations, fractional answers
        • Solve two-step linear equations, decimal coefficients
        • Solve two-step linear equations, fractional coefficients
        • Solve linear equations, sum or difference on one side
        • Solve linear equations, product on one side
      • Application & Modeling of Two-Step Equations
        • Solve two-step linear equations, algebra tiles, positive coefficients
        • Determine two-step linear equations, real-world context
        • Solve problems that can be represented by one-step equations, including algebra tiles, real-world context
        • Solve problems that can be represented by two-step equations, real-world context
        • Determine equations or identify real-world situations represented by one-step or two-step equations 
        • Given equation with variables on both sides, identify real-world situation represented by equation
        • Determine solutions to problems using common formulas, including simple interest, area & perimeter, & d = rt, real-world context
    • Solving One- or Two-Step Equations
      • Condensed: Solve one- or two-step linear equations, including fractional answers
      • Condensed: Solve one- or two-step linear equations, fractional coefficients
      • Solve ax ± b = c
    • Solving Multi-Step Equations
      • Solve linear equations, like terms on both sides
      • Solve linear equations, distributive property on one side
      • 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
      • Solve linear equations, distributive property on one side, up to two terms on other side
      • Solve linear equations, distributive property & additional term on one side
      • Solve three-step linear equations involving distribution of decimal multiplier
      • Solve linear equations, term minus distributive property on one side
      • Solve (ax ± b)/c = d
      • Condensed: Solve three-step linear equations involving distribution, including fractional & decimal answers
    • Solving Equations with Variables on Both Sides
      • Basic Equations with Variables on Both Sides
        • Solve linear equations, variables on both sides
        • Solve linear equations, binomials on both sides, decimals
        • Solve linear equations, binomials on both sides, fractions
        • Solve linear equations, variables as numerators on both sides
        • Condensed: Solve linear equations, variables on both sides, rationals
        • Solve multi-step linear equations
        • Condensed: Solve linear equations, variables on both sides or like terms
        • Solve linear equations, distributive property on both sides, integers
        • Solve linear equations, distributive property on both sides, rationals
        • Solve linear equations, distributive property on both sides, additional term on one side
        • Solve linear equations, distributive property & additional term on one side & binomial on other side
        • Solve linear equations, including no solution & infinitely many solutions
      • Application & Modeling of Equations with Variables on Both Sides
        • 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 & solve linear equations with variables on both sides, real-world context
    • Identifying Number of Solutions
      • Determine number of solutions in linear equations, distribute at most one time
      • Determine number of solutions in linear equations, distribute up to two times
      • Condensed: Determine number of solutions in linear equations
  • Inequalities
    • Identifying & Graphing Inequalities
      • Graph inequalities on number line
      • Given graph, determine inequality
      • Determine graph from inequality or inequality from graph
    • 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 One-Step Inequalities
        • Addition & Subtraction
          • Solve & graph one-step inequalities, x + #
          • Solve & graph one-step inequalities, x – #
          • Condensed: Solve & graph one-step inequalities, x ± #
        • Multiplication & Division
          • Solve & graph one-step inequalities, a * x, a > 0
          • Solve & graph one-step inequalities, whole number coefficients
          • Solve & graph one-step inequalities, a * x, a < 0
          • Solve & graph one-step inequalities, integer coefficients
          • 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
        • Mixed Operations
          • 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
        • Identify one-step inequalities that model real-world problems or interpret inequality components
        • Given one-step inequality, identify real-world problem modeled by inequality
        • Determine one-step inequalities, rational numbers, including real-world context
        • 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
      • Basic Solving Two-Step Inequalities
        • Determine if given value is solution to two-step inequality
        • Solve two-step inequalities modeled with algebra tiles
        • Solve two-step inequalities, integers
        • Solve two-step inequalities, fractions
        • Solve two-step inequalities, decimals
        • Condensed: Solve two-step inequalities
        • Solve & graph two-step inequalities, integers
        • Solve & graph two-step inequalities, decimals
        • Solve & graph two-step inequalities, fractions
        • Condensed: Solve & graph two-step inequalities
        • Solve & graph 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 & solve two-step inequalities, greater than, real-world context
        • Determine & solve two-step inequalities, less than, real-world context
        • Determine two-step inequalities, rational numbers, including real-world context
        • Given two-step inequality, identify real-world problem modeled by inequality
    • Solving Multi-Step Inequalities
      • Solve multi-step inequalities using distributive property
      • Solve & graph inequalities, variables on both sides, including distributive property
      • Determine inequalities with variables on both sides, real-world context
      • Given inequality with variable on both sides, identify real-world problem modeled by inequality
    • Solving Mixed Inequalities
      • Determine equivalence of inequalities & solution set
      • Condensed: Solve & graph inequalities
      • Solve multi-step inequalities, including variables on both sides
  • Linear Concepts
    • 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 description, identify dependent or independent variable
        • Given equation, identify dependent or independent variable
        • Given table, identify dependent or independent variable
        • Given table or graph, identify dependent or independent variable
      • Writing Equations, Completing Tables or Graphs
        • Given multiplicative relationship in table, determine equation, real-world context
        • Given constant of proportionality, determine table, graph, or equation
        • Given equation, determine constant of proportionality, graph, or table
        • Given table, determine constant of proportionality, graph, or equation
        • Given graph, determine constant of proportionality, table, or equation
        • Condensed: Determine equivalent representations of proportional relationships
        • Determine or identify equivalent representations of proportional relationships
      • 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 table with most extreme rate of change
        • Identify linear graph with most extreme rate of change
        • Compare rates of changes represented differently
    • Proportional & Non-Proportional
      • Additive & Multiplicative Relationships
        • Given table, determine additive or multiplicative equation
        • Identify components of additive & multiplicative equations
        • Identify graphs of additive & multiplicative relationships 
        • Identify situations modeled by additive & multiplicative relationships
        • Identify equivalent representations of additive & multiplicative relationships, including decimals & fractions
        • Condensed: Given additive or multiplicative relationship in table, determine equation
      • Writing Equations, Completing Tables or Graphs
        • Determine Graphs
          • Given linear equation, determine y-values in table & identify graph, first quadrant
          • Given linear equation & table, identify graph
          • Given linear equation & table, determine graph
        • Determine Tables
          • Identify tables that represent real-world situations, y = mx or y = x + b
          • Given linear equation, determine y-values in table, real-world context
        • Determine Equations
          • Given additive relationship in table, determine equation
          • Given multiplicative relationship in table, determine equation
          • Determine equations that represent real-world situations, including two-step equations
          • Given linear graph & table, determine equation
          • Determine equations that represent real-world situations, y = mx or y = x + b
        • Mixed Representations
          • Given slope-intercept equation, determine table & identify graph
          • Condensed: Determine tables or equations of additive & multiplicative relationships
          • Condensed: Determine equations & graphs of additive & multiplicative relationships
          • Identify equivalent representations of additive & multiplicative relationships
          • Determine equations or identify graphs that represent real-world situations, y = mx or y = x + b
          • Identify representation of proportional relationship, various representations, real-world context
      • Identifying Proportional vs. Non-Proportional
        • Identify graphs showing proportional relationship
        • Identify equations showing proportional relationship
        • Identify tables showing proportional relationship
        • Identify tables, graphs, or equations showing proportional relationship
        • Identify proportional & non-proportional relationships, real-world context
    • Determining Solution to a Linear Equation
      • Given horizontal or vertical linear equation, determine if point is on line
      • Given horizontal or vertical linear equation, identify point 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 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
      • Given linear equation in slope-intercept form & value of one variable, determine value of other variable
      • Given linear equation in slope-intercept form & y-value, determine x-value, fractional coefficients or constants
      • Identify linear & non-linear relationships, various representations
    • Slope of a Line
      • Identifying Slope Category
        • Given linear graph, identify type of slope
        • Given linear equation, identify type of slope
        • Identify linear graph with specific type of slope
        • Given table of linear equation, identify type of slope
        • Given graph of horizontal or vertical line, determine rate of change
        • Condensed: Identify type of slope
      • Finding Slope
        • Finding Slope from an Equation
          • Given equation of horizontal or vertical line, determine rate of change
          • Given equation in slope-intercept form, determine rate of change, integer solution
          • Given equation in slope-intercept form, determine rate of change
          • Given linear equation in standard form, determine rate of change
          • Given equation in point-slope form, identify slope
        • Finding Slope from a Graph
          • 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
          • Given graph of piece-wise function, determine rate of change over specific interval
        • Finding Slope from Two Points
          • Given two points, determine rate of change, integer solution, including undefined
          • Given two points with integer coordinates, determine rate of change
          • Given two points, determine rate of change, one coordinate is fraction
          • Given two points, determine rate of change, two coordinates are fractions
        • Finding Slope from a Table
          • Given table of linear equation, determine rate of change
      • Comparing Slopes
        • Identify linear table with most extreme rate of change
        • Identify linear graph with most extreme rate of change
        • Given description, compare rates of change, real-world context
      • Application of Slope
        • Given right triangle, use legs to determine slope, real-world context
        • Given graph of similar right triangles, identify equivalent slopes
        • Given description, determine equation & specific value, 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
      • X-Intercept
        • Given linear graph, plot x-intercept
        • Given linear graph, determine coordinates of x-intercept
        • Given equation of horizontal or vertical line, determine coordinates of x-intercept
        • Given linear equation in slope-intercept form, determine coordinates of x-intercept
      • Y-Intercept
        • Given linear graph, plot y-intercept
        • Given linear graph, 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 y-intercept
        • Given equation of horizontal or vertical line, plot y-intercept
        • Given linear equation in slope-intercept form, plot y-intercept
        • Given linear equation in standard form, determine coordinates of y-intercept
      • Both Intercepts
        • Given linear graph, locate intercept or determine coordinates, various scales
        • Given linear equation, determine intercepts
        • Condensed: Given linear equation, determine x- or y-intercepts
    • Writing Equation of a Line
      • Writing Equation Given Point & Slope
        • 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 slope-intercept form, integer y-intercept
        • Given point & fractional slope, determine linear equation in slope-intercept form, fractional y-intercept
        • Given point & fractional slope, determine linear equation in point-slope form, including slope-intercept form conversion
        • Given point & integer slope, determine linear equation in point-slope form, including slope-intercept form conversion
        • 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, zero slope
        • Given two points, determine linear equation, undefined 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 point-slope form, integer slope, including slope-intercept form conversion
        • Given two points, determine linear equation in standard form, fractional slope, including slope-intercept form conversion
        • Given two points, determine linear equation in point-slope 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 standard form
        • Given points or slope & point, determine linear equation in various forms
        • Given points or slope & point, determine linear equation in point-slope or standard form
        • Given intercepts, determine linear equation in slope-intercept form
        • Condensed: Given linear graph, determine equation in slope-intercept form & specific value, various scales, including real-world context
        • Condensed: Given two points, determine linear equation in slope-intercept form, including horizontal & vertical lines
      • Writing Equation Given Graph
        • Given Graph with 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
          • Given linear graph through origin, determine equation in slope-intercept form, integer slope, 1 ≤ |m| ≤ 3
        • Given Graphs with Varying Y-Intercepts, Write Equation
          • Slope-Intercept Form
            • Given linear graph, determine equation in slope-intercept form, m = 1
            • Given linear graph, determine equation in slope-intercept form, m = 1, various scales
            • Given linear graph, determine equation in slope-intercept form, m = ±1, various scales
            • Given linear graph, determine equation in slope-intercept form, integer slopes
            • Given linear graph, identify equation in slope-intercept form, integer slopes, various scales
            • Given linear graph, determine 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
            • Given linear graph, determine equation in slope-intercept form, fractional slopes
            • Given linear graph, identify equation, slope-intercept form
            • Given linear graph, determine slope, y-intercept, & equation
            • Given linear graph, determine equation in slope-intercept form & specific value, various scales
          • Standard Form
            • Given linear graph, determine equation in standard form
          • Point-Slope Form
            • Given linear graph, determine equation in point-slope form
          • Various Forms
            • Given linear graph, identify equation, various forms
    • Vertical & Horizontal Lines
      • Given vertical linear equation, determine graph
      • Given horizontal linear equation, determine graph
      • Given graph of vertical line, determine equation
      • Given graph of horizontal line, determine equation
      • Condensed: Given graph of horizontal or vertical line, determine equation
    • 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
    • Equations, Graphs, & Tables
      • Basic Graphing
        • Given point & integer slope, graph line
        • Given point & slope, graph line
      • Equation to Table
        • m = 1
          • Given linear equation, fill missing value in table, m = 1
          • Given linear equation, fill missing value in table, m = 1, Δx ≥ 5
          • Given linear equation & table, determine another point, m = 1
          • Given linear equation, fill table, m = 1
        • Various Slopes
          • Given linear equation & one x-value, determine y-value in 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
          • 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 & table, determine another point, integer slope, b = 0
          • Given description & linear equation, fill table & determine solution, real-world context
          • Given horizontal or vertical linear equation, fill table
          • Given linear equation, fill table, integer slope, b = 0
          • Given linear equation, determine table values
          • Given linear equation, fill table, integer slope
      • 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
          • Graph linear equations, including horizontal & vertical, integer slope, various scales
          • Graph linear equations, fractional slope
          • Given slope-intercept equation, determine table & graph
          • Condensed: Graph linear equations, including horizontal & vertical, various scales
          • Graph linear equations, m = 1
          • Graph linear equations, m = 1, various scales
          • Graph linear equations, integer slope not including one & negative one, b = 0
          • Given equation in slope-intercept form, graph line, m = ±1, various scales
          • Graph linear equations, integer slope not including one & negative one
          • Graph linear equations, integer slope, various scales
          • Graph linear equations, fractional slope, various scales
          • Condensed: Given linear equation or description, determine graph, fractional slope, including real-world context
      • 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 y-values in table
        • Given linear graph through origin, determine table values, one table point off graph
        • Given linear graph, determine table value, m = 1, table point off graph
        • Given linear graph, determine table value, table point off graph
        • Given linear graph through origin, determine table value, table point off graph
      • Table to Equation
        • 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
        • Given table, identify linear equation in slope-intercept form, rational constants & coefficients
        • Given description, determine linear equation, fill table, & determine solution, real-world context
    • Perpendicular, Parallel, or Neither
      • Identifying Parallel or Perpendicular Lines
        • Given equation in slope-intercept form, determine slope of parallel line
        • Given equation in slope-intercept form, determine slope of perpendicular line
        • Condensed: Given equation in slope-intercept form, determine slope of parallel or perpendicular line
        • Given equation in various forms, determine slope of parallel line
        • Given equation in various forms, determine slope of perpendicular line
        • Condensed: Given equation in various forms, determine slope of parallel or perpendicular line
        • Given two slope-intercept form equations, identify as parallel or perpendicular
        • Given two equations in standard form, identify as parallel or perpendicular
        • Identify equation that is parallel or perpendicular to line through two given points
        • Given two pairs of points, determine if lines containing points are parallel or perpendicular
      • Writing Equations of Parallel or Perpendicular Lines
        • Given equation in slope-intercept form, determine equation of parallel line through specified point
        • Given equation in slope-intercept form, determine equation of perpendicular line through specified point
        • Given equation in slope-intercept form, determine equation of parallel or perpendicular line through specified point
        • Given equation in various forms, determine equation of parallel line through specified point
        • Given equation in various forms, determine equation of perpendicular line through specified point
        • Given equation in various forms, determine equation of parallel or perpendicular line through specified point
        • Determine equation of line through specified point parallel or perpendicular to x-axis
        • Determine equation of line through specified point parallel or perpendicular to y-axis
        • Condensed: Determine equation of line through specified point parallel or perpendicular to x- or y-axis
    • Line of Best Fit & Scatter Plots
      • Interpret Scatter Plots
        • Identify positive & negative correlations in scatter plots
        • Identify outliers in scatter plots
        • Identify linear & nonlinear associations in scatter plots
        • Identify scatterplots with clustered data
        • Given data, determine scatter plot
        • Condensed: Interpret scatter plots
      • Sketch Line of Best Fit
        • Sketch line of best fit & determine equation, graph scales of one
        • Sketch line of best fit & determine equation, various graph scales
        • Sketch line of best fit & determine equation, real-world context
        • Sketch line of best fit
        • Sketch line of best fit & determine predicted value
        • Condensed: Sketch line of best fit & determine equation
        • Determine residuals
    • 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
        • 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
        • Form 6 – Given linear graph, interpret linear relationship & determine slope-intercept equation
        • Form 7 – Given linear word problem, graph & interpret relationship, four quadrants
        • Determine linear equation in standard form & graph, real-world context
        • Given slope & intercept, interpret linear relationship & determine slope-intercept equation, including negative slope
      • Choosing Correct Model Given Verbal Description
        • Given description or table, determine linear graph, real-world context
        • Given description of linear equation, identify graph, integer slope, real-world context
        • Given linear word problem, identify graph
        • Given description of linear relationship, identify graph, table, or equation, real-world context
        • Given linear equation, interpret slope & y-intercept, real-world context
        • Identify equivalent representations of linear relationship, including real-world context
        • Given description of linear equation, identify graph, fractional slope, real-world context
  • Functions
    • Identifying Functions
      • Determine functions, set & table representations
      • Determine functions, mapping representations, no domain & range language
      • Determine functions, mapping representations
      • Determine functions, graphical representations
      • Identify & determine functions, set & table representations
      • Given step graphs, identify functions
      • Given relation & additional point, determine functions, multiple representations
      • Identify functions, description representations
    • Identifying & Justifying Functions
      • Identify functions using equivalent mapping diagrams & sets of ordered pairs
      • Determine & justify functions, table representations, no domain & range language
      • Determine & justify functions, mapping representations, no domain & range language
      • Determine & justify functions, set representations, no domain & range language
      • Determine functions, multiple representations, including justification, no domain & range language
      • Determine & justify functions, table representations
      • Determine & justify functions, mapping representations
      • Determine & justify functions, set representations
      • Determine & justify functions, graphical representations
      • Identify functions, multiple representations, including justification
      • Identify & justify functions & non-functions, graphical representations
      • Condensed: Identify, justify, & determine functions
    • Domain & Range of Functions
      • Determine if value is in domain or range, set & table representations
      • Determine if value is in domain or range, graphical representations
      • Condensed: Determine domain & range, including real-world context
  • Systems of Equations
    • Determining Solution to Systems of Equations
      • Given system of linear equations, identify x- or y-value of solution
      • Given system of linear equations, identify solution
      • Given system of linear equations, identify solution or x- or y-value of solution
      • Given system of linear equations & description, identify solution, real-world context
      • Condensed: Given system of linear equations, identify solution, including real-world context
      • Determine systems of linear equations & solutions, real-world context
      • Condensed: Determine systems of linear equations & solutions, including real-world context
    • Solving Systems of Equations, Graphing
      • Determine & verify graphical solutions to systems of linear equations, slope-intercept form
      • Given system of linear equations, determine point of intersection, slope-intercept form
      • Given system of linear equations, graph system, including tables
      • Given description of system of linear equations, graph & determine equations or tables
      • Condensed: Given system of linear equations or description, graph system, including real-world context
      • Given system of linear equations, graph & determine point of intersection, slope-intercept form
      • Given graph of system of linear equations, determine equations in slope-intercept form
    • Solving Systems of Equations, Substitution
      • Given system of linear equations with same isolated variable, determine point of intersection, integer coordinates
      • Given system of linear equations, determine point of intersection, integer coordinates, one horizontal or vertical & one slope-intercept form
      • Given system of linear equations, determine point of intersection, integer coordinates, one equation in standard form
      • Condensed: Given system of linear equations, determine solution, substitution bias
      • Determine solutions of linear equations, substitution bias, including given system, real-world context
      • Solve systems of linear equations, infinite possibilities or no solution
      • Determine systems of linear equations & solutions, substitution bias, real-world context
      • Solve, interpret, or determine systems of linear equations, slope-intercept form, real-word context
      • Solve, interpret, or determine systems of linear equations, standard form, real-word context
      • Condensed: Solve or determine system of equations, likely to have same variable isolated
    • Solving Systems of Equations, Elimination
      • Given system of linear equations in standard form, determine point of intersection, integer coordinates
      • Given system of linear equations, determine point of intersection, at least one equation with variables on both sides
      • Determine systems of linear equations & solutions, elimination bias, real-world context
      • Condensed: Solve or determine system of equations, both equations in standard form
    • Solving Systems of Equations, Mixed Methods
      • Graph systems of linear equations & determine solutions, including real-world context
      • Determine & justify solutions to systems of linear equations, real-world context
      • Condensed: Determine systems of linear equations & solutions
  • Ratios, Rates, Proportions, & Percents
    • Ratios
      • Use Ratios & Rates
        • Identify unit rates
        • Rewrite ratios
        • Given ratio, determine reduced form
        • Identify equivalent ratios or determine missing component of proportion
        • Determine ratios, various forms, real-world context
        • Condensed: Simplify ratios, identify equivalent ratios, & determine missing components of proportions
        • Compare rates
        • Determine specified values in proportional relationships, real-world context
        • Determine part to part ratio, strip diagrams, real-world context
        • Determine part to whole ratio, various models
        • Determine & identify equivalent rates of changes, various representations
        • Determine & compare unit rates, real-world context
      • Determine Ratios & Percents
        • Condensed: Determine ratios & percents, decimal grids
        • Condensed: Determine ratios & percents, double number lines, including real-world context
        • Condensed: Determine ratios & percents, strip diagrams, real-world context
    • Rates
      • Determine Unit Rates
        • Determine unit rates, whole numbers, real-world context
        • Determine unit rates, fractions, real-world context
        • Given rate & comparison, determine unit rates, real-world context
        • Determine unit rates, mixed numbers, real-world context
      • Use Rates to Solve Problems
        • Given unit rate, determine specified value in proportional relationship, real-world context
        • Given unit conversion rate, convert measurement units
        • Given proportional relationship, determine specified quantity, 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 & apply unit rates to determine specified quantities, real-world context
        • Condensed: Determine or apply unit rates, real-world context
        • Condensed: Determine ratios, relationship between ratio terms, & specified quantities, real-world context
        • Determine ratios, real-world context
        • Given ratio, determine relationship between ratio terms, real-world context
        • Condensed: Given extended ratio, determine ratio or specified quantity, 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
        • Solve proportions, one binomial expression
        • Solve proportions, two binomial expressions
        • Condensed: Solve proportions, binomial expressions
      • Application of Proportions
        • Solve proportions, exact answers, real-world context
        • Solve proportions, rounded answers, real-world context
        • Solve proportions involving time, real-world context
    • Percents
      • Percent Conversions
        • Convert Fractions
          • Convert fractions to decimals, denominator power of 10
          • Convert fractions to decimals, denominator factor of power of 10
          • Convert fractions to rounded decimals
          • Convert fractions to decimals, including improper fractions, including repeating decimals
          • Convert mixed numbers to decimals, including repeating decimals
          • Condensed: Convert fractions to decimals & percents
          • Condensed: Convert proper & improper fractions to rounded percents
        • Convert Decimals
          • Convert decimals to fractions
          • Convert decimals to mixed numbers
          • Convert decimals to fractions or mixed numbers, including repeating decimals
          • Convert repeating decimals to fractions
          • Condensed: Convert decimals to fractions & percents
        • Convert Percents
          • Condensed: Convert percents to decimals & fractions
      • Application of Percents
        • Determine simple interest
        • Determine simple interest & total amount
        • Given simple interest earned, determine principal, rate, or time
        • Determine annually compounded interest
        • Determine compound interest
        • Condensed: Determine compound interest on savings & loans
        • Determine & compare simple & compound interest
  • Data Analysis & Probability
    • 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, & range
        • Determine mean, median, mode, or range from stem-&-leaf plots
        • Determine mean, median, mode, or range from various graphs
        • Given various representations of data, identify mean, median, mode, & range
        • Condensed: Determine mean, median, mode, or range, including graphs
        • Given additional value in data set, determine change in mean, median, mode, or 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
        • Determine interquartile range of data
      • Interpreting Measures of Center & Spread
        • Identify measures of center based on data distribution
        • Identify measures of variability based on data distribution
        • Determine or interpret measures of center & spread from graphs
        • Identify & interpret measures of center
        • Identify & interpret measures of variability
    • Frequency Tables
      • Determine two-way frequency tables
      • Given data, identify frequency table or determine missing element of table
      • Given two-way frequency tables, identify associations
      • Determine specified probabilities in two-way frequency tables
      • Determine conditional probabilities from two-way frequency tables
      • Determine conditional probabilities, including two-way frequency tables
      • Interpret two-way frequency tables, joint distribution 
      • Interpret two-way frequency tables, conditional distribution 
      • Interpret two-way frequency tables, marginal distribution 
      • Condensed: Interpret two-way frequency tables
      • Solve one-step problems from frequency & relative frequency tables, real-world context
      • Solve problems from frequency tables, real-world context
    • Pie Graphs
      • 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
    • Dot Plots
      • Given data represented in various ways, identify dot plot
      • Solve one-step problems from dot plots, real-world context
      • Solve multi-step problems from dot plots, real-world context
      • 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
    • Stem-&-Leaf Plots
      • Given data, identify stem-and-leaf plot
      • Solve one-step problems from stem-and-leaf plots, real-world context
      • Solve multi-step problems from stem-and-leaf plots, real-world context
    • Box Plots
      • Solve problems involving interpretation of box plots
      • Given boxplot, determine values from five-number summary
      • Determine five-number summary
      • Solve problems involving five-number summary
      • Solve problems involving interpretation of stacked box plots, real-world context
      • Condensed: Determine five-number summary, including box plots
    • Basic Probability
      • Determine sample spaces
      • Classify probabilities by levels of likelihood
      • Determine probabilities of single events
      • Determine theoretical probabilities
      • Determine probabilities of flipping coins specified number of times
      • Determine probabilities of flipping coins & rolling die
      • Determine probabilities & complementary probabilities of single events, including visual models
      • Determine probabilities & odds, including visual models
    • Compound Probability
      • Determine sample spaces
      • Determine size of sample spaces, compound events
      • Determine "or" probabilities
      • Determine "or" probabilities
      • Given visual model, determine "or" probability as fraction, decimal, or percent
      • Determine "or" probabilities as fractions, decimals, or percents
      • Determine "and" probabilities, independent events, same sample space
      • Determine "and" probabilities, independent events, two distinct sample spaces
      • Determine "and" probabilities, independent events, visuals provided
      • Determine "and" probabilities, independent & dependent events
      • Determine "and" probabilities, independent & dependent events, including complementary events
      • Condensed: Determine probabilities
    • Predictions Using Probability
      • Determine inferences from samples
      • Determine predicted values, experimental probability
      • Determine predicted values, theoretical probability
      • Determine predicted values, experimental probability, compound events
      • Determine predicted values, theoretical probability, compound events
      • Determine predicted values or compare likelihood of events
  • Perimeter & Area
    • Rectangle Perimeter & Area
      • Basic Rectangle Perimeter & Area
        • Perimeter
          • Determine perimeter of rectangles
          • Given sides of rectangle, determine perimeter
          • Determine perimeter of rectangles, including decimal dimensions
          • 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
        • Area
          • 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
      • Application of Rectangle Perimeter & Area
        • Perimeter
          • Given sides of rectangle, determine perimeter
          • Determine perimeter of rectangles, real-world context
          • Given model, identify formula & determine perimeter of rectangles
          • Condensed: Identify formula & determine perimeter of rectangles & squares
          • Given model, identify formula & determine perimeter of rectangles, including decimal dimensions
          • Given perimeter & one dimension of rectangle, determine missing dimension
          • Determine side length or perimeter of squares
        • Area
          • Determine equations that represent area of rectangles, real-world context
          • Given model, identify formula & determine area of rectangle
          • Given sides of rectangle & cost per square unit, determine area & total cost, real-world context
          • Determine area of shaded region between nested rectangles
          • Determine area of rectangles with fractional dimensions using tiling method
          • Condensed: Identify formula & determine perimeter or area of rectangles & squares
          • Determine area of missing dimension of rectangles, real-world context
    • Parallelogram Area
      • Determine area of parallelograms
      • Determine equations that represent area of parallelograms, real-world context
      • Given area & one dimension of parallelogram, determine missing dimension
    • 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
      • 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
      • Determine equations that represent area of trapezoids, real-world context
      • Given area & base lengths of trapezoid, determine height
    • Circle Area & Circumference
      • Given radius or diameter, determine circumference
      • Determine circumference of circle, exact answers, multiple choice, including real-world context
      • Given radius or diameter, determine area
      • Determine area of circle, exact answers, including real-world context
      • Given radius or diameter, determine area or circumference
      • Condensed: Determine area or circumference of circle
      • Determine areas of semicircles & quarter circles
    • Mixed Figures Perimeter & Area
      • Perimeter
        • Determine perimeter of polygons, including real-world context
        • Given coordinates of vertices, determine side lengths & perimeter of polygons
      • Area
        • Determine areas of rectangles & parallelograms
        • Determine areas of triangles & trapezoids
        • Determine algebraic expressions that represent area of rectangles & triangles
        • Determine area of shaded region between nested shapes
        • Determine area of polygons in coordinate plane
        • Determine area of polygons in coordinate plane, real-world context
        • Given coordinates of vertices, determine area of triangle or rectangle
        • 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
      • Perimeter & Area
        • Identify formulas for area & perimeter of basic shapes
        • Determine dimension of rectangles, including real-world context
    • Compound Figure Area
      • Determine area of composite figures on coordinate plane, no circular shapes
      • Determine area of composite figures, no circular shapes
      • Determine area of composite figures, rectangle with various figures attached, no circular parts
      • Determine area of composite figures, rectangle with various figures attached
      • Determine area of composite figures
      • Determine area of composite figures, at least three subdivisions
      • Determine area of composite figures, real-world context
  • Surface Area & Volume
    • Pyramid Surface Area & Volume
      • Determine surface area of pyramids
      • Determine surface area of pyramids
      • Determine lateral surface area of pyramids
      • Determine volume of pyramids
      • Given surface area, determine dimension of pyramid
      • Given volume, determine dimension of pyramid
    • Prism Surface Area & Volume
      • Rectangular Prism Surface Area & Volume
        • Basic Rectangular Prism Surface Area & Volume
          • Determine surface area of rectangular prisms
          • Determine volume of rectangular prisms using unit cubes
          • Determine volume of rectangular prisms, various representations
          • Determine volume of rectangular prisms, whole numbers or decimals
          • Determine volumes of rectangular prisms, fractional dimensions
          • Determine volume of rectangular prisms, whole numbers, decimals, or fractions
          • Given base area & edge or all edges, determine volume of rectangular prism
          • Given volume, determine edges of rectangular prisms
          • Given volume, determine dimension of rectangular prism, fractional dimensions
          • Determine volume or edge of rectangular prisms, whole numbers
          • Condensed: Determine volume or dimension of rectangular prisms, fractional dimensions
        • Application of Rectangular Prism Surface Area & Volume
          • Determine volume of rectangular prisms using repeated layers of base area, real-world context
          • Determine volume of rectangular prisms, whole numbers, including real-world context
          • Determine volume or edge of rectangular prisms, whole numbers or decimals, real-world context
          • 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
      • Triangular Prism Surface Area & Volume
        • Determine surface area of triangular prisms
      • Mixed Prism Surface Area & Volume
        • Determine volume of rectangular prisms, whole numbers or decimals
        • Determine volume of composite figures, rectangular & triangular prisms
        • Determine surface area of composite figures, rectangular & triangular prisms
        • Determine lateral surface area of prisms
        • Determine lateral surface area of composite figures, rectangular & triangular prisms
        • Condensed: Given net, determine surface area & lateral surface area of prisms & pyramids, including real-world context
        • Condensed: Determine total surface area & lateral surface area of composite figures, rectangular & triangular prisms
    • Cylinder Surface Area & Volume
      • Determine volume of cylinders
      • Given base area & height, determine volume of cylinder
      • Determine surface area of cylinders
      • Determine lateral surface area of cylinders
      • Given volume, determine dimension of cylinder
      • Given surface area, determine dimension of cylinder
      • Condensed: Given surface area or volume, determine dimension of cylinder
    • Cone Surface Area & Volume
      • Determine volume of cones
      • Determine surface area of cones
      • Determine lateral surface area of cones
      • Given volume, determine dimension of cone
      • Given surface area, determine dimension of cone
      • Condensed: Given surface area or volume, determine dimension of cone
    • Sphere Surface Area & Volume
      • Determine volume of spheres
      • Determine surface area of spheres
      • Given volume, determine radius, diameter, or surface area of sphere
      • Given surface area, determine radius, diameter, or volume of sphere
      • Determine volume or radius of spheres
      • Condensed: Given surface area or volume, determine dimension of sphere
    • Mixed Figures Surface Area & Volume
      • Mixed Figures Surface Area
        • Prisms, Pyramids, Cones, Cylinders, & Spheres
          • Determine surface area of 3D figure, including calculator π approximation
          • Determine surface area of prisms & pyramids
          • Determine surface area of prisms, pyramids, cones, cylinders, & spheres
          • Condensed: Determine surface area of 3D figures
          • Determine lateral surface area of prisms & cylinders
          • Condensed: Determine lateral surface area of 3D figures
          • Determine lateral & total surface area of prisms & cylinders, including real-world context
          • Given surface area, determine dimension of 3D figure, no visual provided
        • Composite Figures
          • Determine surface area of composite figures, rectangular & triangular prisms, not requiring Pythagorean theorem
          • Determine surface area of composite figures, prisms & pyramids
          • Determine lateral surface area of composite figures, rectangular & triangular prisms, not requiring Pythagorean theorem
          • Determine lateral surface area of composite figures, cylinders & cones
          • Condensed: Determine total surface area & lateral surface area of composite figures, prisms & pyramids
          • Condensed: Determine total surface area & lateral surface area of composite figures, cylinders & cones
      • Mixed Figures Volume
        • Determine volumes of 3D figures
        • Determine volume of cylinders, cones, & spheres
        • Determine volume of cylinders, cones, & spheres, including real-world context
        • Condensed: Determine volume of 3D figures
        • Determine volume of composite figures, prisms & pyramids
        • Condensed: Determine volume of composite 3D figures
        • 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
    • Mixed Figures Surface Area Given Nets
      • Identify equivalent representations of 3D figures & nets
      • Given net, determine surface area of rectangular prism
      • 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 
      • Condensed: Given net, determine surface area & lateral surface area of prisms & pyramids, including real-world context
  • Similar Figures
    • Determine Dimensions
      • Determine dimensions in similar figures, whole number dimensions
      • Determine dimensions in similar figures
      • Determine dimensions using similar figures & indirect measurements
    • Identify Proportion of Side Lengths
      • Given similar figures, identify proportion of side lengths, triangles & quadrilaterals
      • Given similar figures, identify proportion of side lengths, image orientations differ
    • Solve Problems Involving Scale Factor
      • Determine scale factor or area of dilated figures
      • Determine scale factor or perimeter of dilated figures
      • Given scale factor, determine dimension
      • Given scale factor, determine coordinates of image, pre-image centered at origin
      • Given scale factor, determine coordinates of image, pre-image not centered at origin
      • Condensed: Given scale factor, determine coordinates of image
      • Identify scale factor of dilations, on coordinate plane
      • Identify scale factor of dilations, not on coordinate plane
      • Condensed: Identify scale factor of dilations
  • Transformations
    • Reflections
      • Determine coordinates of reflected points
      • Given figure on coordinate plane, determine reflected coordinates
      • Identify rule or reflected point on coordinate plane
      • Given coordinate vertices of figure, determine reflected image
    • Rotations
      • Given figure on coordinate plane, determine rotated coordinates
      • Identify rule or rotated point on coordinate plane
      • Given coordinate vertices of figure, determine rotated image
    • Translations
      • Given figure on coordinate plane, determine translated coordinates
      • Identify rule or determine translated point on coordinate plane
      • Given coordinate vertices of figure, determine translated image
    • Dilations
      • Identify characteristics of dilations
      • Identify rule or dilated point on coordinate plane, including variable scale factors
      • Determine variable scale factor or variable measurement of dilated figures
    • Mixed Transformations
      • Identify Characteristics of Transformations, No Graph
        • Identify characteristics of transformed line segments
        • Identify characteristics of transformed lines
        • Identify characteristics of transformed parallel lines
        • Identify characteristics of transformed angles
        • Identify characteristics of transformed lines, segments, & angles
      • Transformations, Given Graph
        • Identify reflections & rotations on coordinate plane
        • Identify rule for transformed shape on coordinate plane
        • Identify rule or determine transformed point on coordinate plane
        • Given similar figures, identify description of transformations
        • Identify congruence transformations
        • Given congruent figures, identify description of transformations
        • Composition of transformations on coordinate plane
        • Identify characteristics of transformations
        • Condensed: Given figure on coordinate plane or coordinate vertices, determine transformed image or coordinates
        • Condensed: Identify rule or determine transformed point on coordinate plane
        • Condensed: Given similar or congruent figures, identify description of transformations
  • Pythagorean Theorem
    • Basic Pythagorean Theorem
      • Given segment on coordinate plane, determine length
      • Determine distance between points, including coordinate plane
      • Determine Pythagorean triples
      • Given three sides, classify triangles
      • Given two sides, determine missing side of right triangle
      • Apply converse of Pythagorean theorem
    • Application of Pythagorean Theorem
      • Given two sides, determine missing side of right triangle, real-world context
      • Solve problems using Pythagorean theorem, figure included, real-world context
      • Given Pythagorean theorem model, determine specified component
      • Determine side of right triangle or apply converse of Pythagorean theorem, including real-world context
  • Angle Relationships
    • Triangle Angle Sum Theorem
      • Given two angle measures in triangle, determine & justify angle measure
      • Determine similarity of triangles using AA similarity
      • Determine sides of similar triangles using AA similarity
      • Determine angles of similar triangles using AA similarity, algebraic expressions
      • Apply triangle angle sum theorem to determine angles, algebraic expressions
      • Apply triangle exterior angle theorem to determine angles, including algebraic expressions
      • Apply triangle angle sum theorem to determine angles, multiple algebraic expressions
      • Given description, apply triangle angle sum theorem to determine angles, algebraic expressions
      • Condensed: Apply triangle angle sum theorem & exterior angle theorem to determine angles, including algebraic expressions
    • Vertical Angles
      • Given parallel lines with transversal & angle, determine vertical angle
      • Given parallel lines with transversal & angle, determine vertical angle, algebraic expressions
    • 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 supplement to corresponding 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
      • Given parallel lines with transversal & angle, determine supplement to corresponding angle, algebraic expressions
    • Transversal Definitions
      • Given parallel lines with transversal, identify specified angle pairs, only numbered angles, uses "same-side interior" terminology
      • Given parallel lines with transversal & angles, identify specified angle pairs, uses "same-side interior" terminology
      • Given parallel lines with transversal, identify specified angle pairs, only numbered angles, uses "consecutive" terminology
      • Given parallel lines with transversal & angle, identify specified angle pairs, uses "consecutive" terminology
      • Given parallel lines with transversal & angle, apply converse angle theorems, including algebraic expressions
      • Given non-parallel lines & transversal, identify transversal & specified angle pairs 
    • Mixed Angles Formed by Transversals
      • Given parallel lines with transversal & angle, determine specified angle
      • Given parallel lines with transversal & angle, determine & justify specified angle
      • Given parallel lines with transversal & angle, determine specified angle, algebraic expressions
  • Financial Literacy
    • Identify financially responsible decisions
    • Identify benefits & costs of financial responsibility
    • Identify or explain advantages & disadvantages of various payment methods
    • Determine cost of repaying loan
    • Determine how interest rates affect total cost of loans
    • Determine how lengths of loans affect total cost of loans
    • Determine savings in loan repayment based on various lengths of repayment
    • Determine costs of one year of college education
    • Estimate costs of two-year college education
    • Estimate costs of four-year college education
    • Condensed: Estimate or determine costs of college education
    • Determine growth of money invested regularly over time