 VIEW ALL SKILLS

• 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
• 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
• 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
• Multiply radical expressions, numbers & variables
• 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
• 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
• 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
• 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