 ## Algebra 1 Skills

VIEW ALL SKILLS

• Algebra Foundations
• Real Number System
• Comparing Real Numbers
• Order positive decimals
• Order positive fractions
• Condensed: Order positive decimals & fractions
• Order decimals & fractions
• Order rational numbers, no radicals, no exponents
• Order real numbers, no exponents
• Order real numbers, exponents are positive
• Order real numbers
• Comparing expressions on given interval
• Application of Comparing Real Numbers
• Order real numbers, positive exponents, percents are whole, including real-world context
• Order real numbers, positive exponents, percents are whole, including real-world context
• Given table, order rational numbers, real-world context
• Given set or list, order rational numbers, real-world context
• Classifying Real Numbers
• Determine relationships between subsets of rational numbers
• Determine relationships between subsets of real numbers
• Determine result of adding & multiplying rational & irrational numbers
• Algebraic Properties
• Identify properties used in numerical expressions
• Identify properties used to solve linear equations
• Identify properties used in numerical & algebraic expressions
• Identify steps to solve linear equations
• Evaluate & identify equivalent numerical expressions, including real-world context
• Identify equivalent algebraic expressions, including real-world context
• Numerical Absolute Value
• Determine absolute value of integers
• Determine absolute value of integers, including real-world context
• Determine absolute value of numeric expression
• Determine absolute value of rational numbers
• Order of Operations
• Order of Operations, Only Postives
• Evaluate numerical expressions, # + #(#)
• Evaluate numerical expressions, #/# + #
• Evaluate numerical expressions, #/# + #, decimals
• Evaluate numerical expressions, # ± #(#), decimals
• Evaluate numerical expressions, #(# + #), decimals
• Evaluate numerical expressions, # + #(#)^#
• Evaluate numerical expressions, #(#)^# + #/#
• Evaluate numerical expressions, # + #(# + #)^#
• Evaluate numerical expressions, up to four operations
• Evaluate numerical expressions, including rationals & up to two sets of grouping symbols
• Identify first steps in evaluating numerical expressions using grouping symbols
• Evaluate numerical expressions, up to two sets of grouping symbols, real-world context
• Order of Operations, Three or Four Integers
• Evaluate sum or difference of three integers, at least one difference
• Evaluate sum or difference of four integers, at least one difference
• Evaluate sum or difference of four integers, two grouped in parentheses, at least one difference
• Evaluate sum or difference of four integers, two grouped in absolute value, at least one difference
• Evaluate numerical expressions, three or four integers, including multiplication & division
• Evaluate numerical expressions, three or four integers, including multiplication & division as fraction
• Evaluate numerical expressions, three or four integers, one exponent, including multiplication
• Evaluate numerical expressions, four integers, including multiplication & exponents
• Evaluate numerical expressions, real-world context
• Order of Operations, Five or More Integers
• Evaluate sum or difference of six integers, two grouped in parentheses, two grouped in absolute value, at least one difference
• Evaluate numerical expressions, five integers, two grouped in parentheses, including multiplication & division
• Evaluate numerical expressions, five integers, two grouped in absolute value, including multiplication & division
• Evaluate numerical expressions, five integers, one exponent, two grouped in parentheses, including multiplication & division
• Evaluate numerical expression quotients, five to seven integers, including multiplication, division, & absolute value
• Evaluate numerical expression quotients, five to seven integers, one exponent, including multiplication, division, & absolute value
• Condensed: Evaluate numerical expressions
• Order of Operations, Rational Numbers
• Identify equivalent expressions using order of operations
• Evaluate numerical expressions, fractions, no exponents
• Evaluate numerical expressions, decimals, no exponents
• Evaluate numerical expressions, decimals & fractions, no exponents
• Evaluate numerical expressions, fractions
• Evaluate numerical expressions, decimals
• Evaluate numerical expressions, decimals & fractions
• Scientific Notation
• Basic Scientific Notation
• Identify correct conversion of number from scientific notation with positive exponent to standard form
• Identify correct conversion of number from scientific notation with negative exponent to standard form
• Convert number from scientific notation with positive exponent to standard form
• Convert number from scientific notation with negative exponent to standard form
• Identify correct conversion of number from standard form to scientific notation with positive exponent
• Identify correct conversion of number from standard form to scientific notation with negative exponent
• Convert number from standard form to scientific notation with positive exponent
• Convert number from standard form to scientific notation with negative exponent
• Condensed: Identify correct conversion of number between scientific notation & standard form
• Condensed: Convert number between scientific notation & standard form
• Convert number from word form to scientific notation
• Compare two numbers in scientific notation
• Scientific Notation, Round First
• Round & convert number from standard form to scientific notation with positive exponent
• Round & convert number from standard form to scientific notation with negative exponent
• Condensed: Round & convert number from standard form to scientific notation
• Basic 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
• Coordinate Plane
• Basic Coordinate Plane
• Plot integer points
• Plot integer points on coordinate plane, point on axis
• Given integer point on graph, determine coordinates
• Given integer point on graph, determine coordinates, point on axis
• Given lattice point, determine coordinates
• Plot points on coordinate plane, student selects scales
• Condensed: Plot integer points or determine coordinates
• Given rational point, determine location on coordinate plane
• Plot rational points on coordinate plane
• Plot or identify rational points on coordinate plane
• Plot rational points on coordinate plane, graph scale at most one-half
• Condensed: Plot or identify points on coordinate plane
• Application of Coordinate Plane
• Identify first quadrant points or parts of coordinate plane
• Identify locations or parts of coordinate plane using first quadrant points
• Identify description of process to plot first quadrant points
• Determine or identify first quadrant points, real-world context
• Determine or identify first quadrant points, including cardinal directions, real-world context
• Condensed: Plot or determine coordinates of first quadrant rational points
• Inferential Reasoning Word Problems
• Identify appropriate steps to solve problem, real-world context
• Determine reasonable estimates, linear relationships, real-world context
• Determine reasonable estimates, multi-step, real-world context
• Expressions
• Evaluating Expressions
• Evaluating 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 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 expressions for specified value, one variable, including multiple operations, at least one decimal
• Evaluate expressions for specified values, two variables, multiple operations, including powers & real-world context
• Evaluating Expressions, Including Negatives
• Evaluate expressions for specified value, one variable, two terms, only sums & differences
• Evaluate expressions for specified value, one variable, one term, two factors
• Evaluate linear expressions for specific values
• Evaluate expressions for specified value, one variable, one term, three factors
• Evaluate expressions for specified value, one variable, two terms
• 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 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, fraction multiplier
• Simplify algebraic expressions, one variable, distribute once, decimal multiplier
• Condensed: Simplify algebraic expressions, one variable, distribute once, including fraction & decimal multipliers
• Identify equivalent numerical & algebraic expressions, including distribution, including real-world context
• Simplify algebraic expressions, one variable, distribute once, variable multiplier
• Simplify algebraic expressions, one variable, distribute once, variable with coefficient multiplier
• Simplify algebraic expressions, one variable, distribute once, including rationals
• Condensed: Simplify algebraic expressions, one variable, distribute once, including variable multipliers
• Distributive Property & Combining Like Terms
• Identify equivalent expressions involving distribution
• Simplify algebraic expressions, one variable, distribute once & combine like terms
• Simplify algebraic expressions, one variable, distribute once & subtract from constant or variable term
• 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 once, three or four grouped terms
• Simplify algebraic expressions, one variable, distribute twice
• Simplify algebraic expressions, two variables, distribute twice
• Writing Rational Expression as Two Terms
• Convert linear binomials divided by constants to sum or difference of two terms
• Ratios, Rates, & Proportions
• Rates
• Determine unit rates, whole numbers, real-world context
• Determine unit rates, fractions, real-world context
• Determine unit rates, mixed numbers, real-world context
• Given unit rate, determine specified value in proportional relationship, real-world context
• Condensed: Determine or apply unit rates, 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
• Given rate & comparison, determine unit rates, real-world context
• Determine & compare unit rates, real-world context
• Given proportional relationship, determine specified quantity, real-world context
• Given proportional relationship, determine specified quantity, including decimals, real-world context
• Ratios
• Basic Ratios
• Determine part to whole ratio, decimal grids
• Determine part to part ratio, decimal grids
• Identify percents, area models
• Given ratio, identify table
• Given table of proportional relationship, determine value or equivalent ratio
• Compare rates
• Application of Ratios
• Determine part to whole ratio, strip diagrams, real-world context
• Determine part to part ratio, strip diagrams, real-world context
• Determine part to whole ratio, double number lines, real-world context
• Determine part to part ratio, including double number lines, including real-world context
• Determine specified values in ratios, strip diagrams, real-world context
• Determine specified values in proportional relationships, real-world context
• Determine ratios or specified quantities from table or identify table from given ratio, real-world context
• Compare rates or determine specified values in proportional relationships, 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
• Condensed: Solve proportions, including real-world context
• Equations
• One-Step Equations
• Condensed: Solve one-step linear equations, addition or subtraction
• Condensed: Solve one-step linear equations, multiplication or division
• Solve one-step linear equations, fractional answers
• Solve one-step linear equations, fractional coefficients
• Solve one-step linear equations, fractional coefficients & constants
• Condensed: Solve one-step linear equations, including fractional coefficients & fractional answers
• 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
• Two-Step Equations
• Solve two-step linear equations, algebra tiles
• Determine if given value is solution to two-step linear equations
• Solve ax ± b = c
• Condensed: Solve x/a ± b = c
• Solve two-step linear equations, fractional answers
• Solve two-step linear equations, fractional coefficients
• Solve two-step linear equations, decimal coefficients
• Condensed: Solve two-step linear equations
• Condensed: Solve one- or two-step linear equations, fractional coefficients
• Condensed: Solve one- or two-step linear equations, including fractional answers
• Determine two-step linear equations, real-world context
• Given two-step linear equation, identify real-world situation represented by equation
• Multi-Step Equations
• Multi-Step Equations, no Distribution
• Solve linear equations, sum or difference on one side
• Solve linear equations, product on one side
• Solve linear equations, like terms on both sides
• Solve (ax ± b)/c = d
• Multi-Step Equations, with Distribution
• Solve linear equations, distributive property on one side
• Solve linear equations, distributive property on one side, up to two terms on other side
• Solve three-step linear equations involving distribution of decimal multiplier
• Solve three-step linear equations involving distribution, fractional multiplier cancels if distributed
• Solve three-step linear equations involving distribution, fractional multiplier doesn't cancel if distributed
• Condensed: Solve three-step linear equations involving distribution, including fractional & decimal answers
• Solve linear equations, term minus distributive property on one side
• Solve linear equations, distributive property & additional term on one side
• Condensed: Solve linear equations involving distributive property on one side
• Equations with Variables on Both Sides
• Equations with Variables on Both Sides
• Solve linear equations, variables on both sides
• Solve linear equations, binomials on both sides, decimals
• Solve linear equations, variables as numerators on both sides
• Solve linear equations, binomials on both sides, fractions
• Condensed: Solve linear equations, variables on both sides or like terms
• Condensed: Solve linear equations, variables on both sides, rationals
• Solve multi-step linear equations
• 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
• Application of Equations with Variables on Both Sides
• Determine equations with variables on both sides, real-world context
• Determine & solve linear equations with variables on both sides, real-world context
• Given equation with variables on both sides, identify real-world situation represented by equation
• Solving for Specified Variable
• Given linear equation of form ay = bx, solve for y
• Given linear equation of form ay = bx + c, solve for y
• Given linear equation of form a + by = cx, solve for y
• Given linear equation with two terms on each side, solve for specified variable
• Given linear equation with three terms on one side, solve for specified variable
• Condensed: Given linear equation in various forms, solve for specified variable
• Solve for specific variable in mathematical formula
• Solve for specific variable in scientific formula
• Absolute Value Equations
• Solve linear absolute value equations
• Solve linear absolute value equations, extra constant or coefficient
• Condensed: Solve linear absolute value equations, including extra constant or coefficient
• Solve linear absolute value equations, variable on both sides
• 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
• Solve linear equations, including no solution & infinitely many solutions
• Inequalities
• One-Variable Inequalities
• Basic One-Variable Inequalities
• Graph inequalities on number line
• Determine graph from inequality or inequality from graph
• Given graph, determine inequality
• Solve & graph one-step inequalities, whole number coefficients
• Solve & graph one-step inequalities, integer coefficients
• Solve & graph one-step inequalities, including fractional coefficients
• Solve & graph one-step inequalities, including negative & fractional coefficients
• Two-Step or Multi-Step One-Variable Inequalities
• Solve & graph two-step inequalities
• Condensed: Solve & graph inequalities
• Determine equivalence of inequalities & solution set
• Solve multi-step inequalities, including variables on both sides
• Solve multi-step inequalities using distributive property
• Solve & graph inequalities, variables on both sides, including distributive property
• Application of One-Variable 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
• Given one-step inequality, identify real-world problem modeled by inequality, rational numbers
• Determine one-step inequalities, rational numbers, including real-world context
• Given two-step inequality, identify real-world problem modeled by inequality
• Determine & solve two-step inequalities, greater than, real-world context
• Determine & solve two-step inequalities, less than, real-world context
• Determine two-step inequalities, rational numbers, including real-world context
• Determine inequalities with variables on both sides, real-world context
• Given inequality with variable on both sides, identify real-world problem modeled by inequality
• Linear Inequalities
• Linear Inequalities Solutions & Non-Solutions
• Given linear inequality & x-value, determine y-value
• Given linear inequality, determine solutions & non-solutions, slope-intercept form
• Given linear inequality graph, determine solutions & non-solutions
• Condensed: Given linear inequalities & graphs, determine solutions & non-solutions
• Basic Linear Inequalities
• Graph linear inequalities, slope-intercept form, only oblique lines
• Graph linear inequalities, slope-intercept form, including vertical & horizontal lines
• Given linear inequality, identify correct graph, slope-intercept form
• Given linear inequality, determine graph, slope-intercept form
• Given graph, identify linear inequality, slope-intercept form
• Condensed: Determine equivalent linear inequalities & graphical solutions
• Graph linear inequalities, vertical & horizontal lines
• Graph linear inequalities, various forms
• Given graph, determine linear inequality
• Application of Linear Inequalities
• Given description, determine inequality, graph, & possible solutions
• Given graph, determine inequalities in standard form, real-world context
• Given description, determine linear inequalities in standard form, including tables, real-world context
• Given description & table, graph linear inequality, real-world context
• Given description, determine linear inequalities in standard form & specific solutions, real-world context
• Given description, determine linear inequality in standard form, graph, & determine specific solutions, real-world context
• Given description, determine linear inequality in various forms, graph, & determine specific solutions, real-world context
• Solve linear programming problems, real-world context
• Compound Inequalities
• Solve compound inequalities, "and" solutions, multiple choice
• Solve & graph compound inequalities, "and" solutions
• Solve & graph compound inequalities, "and" solutions, including real-world context
• Solve & graph compound inequalities, "or" solutions
• Condensed: Solve & graph compound inequalities
• Given description, determine graph of inequality
• Given description, determine compound inequality, graph, & possible solutions
• Interpret meaning of inequality, real-world context
• Absolute Value Inequalities
• Absolute Value Inequalities with Setup
• Given linear absolute value inequality, determine compound inequality
• Solve & graph linear absolute value inequalities, "and" solutions, including setup
• Solve & graph linear absolute value inequalities, "or" solutions, including setup
• Solve & graph linear absolute value inequalities, including setup
• Condensed: Solve & graph linear absolute value inequalities, including setup
• Solve & graph linear absolute value inequality, extra coefficient or constant, including setup
• Condensed: Solve & graph linear absolute value inequalities, including extra constant or coefficient & setup
• Absolute Value Inequalities without Setup
• Solve & graph linear absolute value inequalities, "and" solutions
• Solve & graph linear absolute value inequalities, "or" solutions
• Condensed: Solve & graph linear absolute value inequalities
• Solve & graph linear absolute value inequalities, including extra constant or coefficient
• Solve & graph linear absolute value inequalities, extra constant or coefficient, multiple choice
• Create linear absolute value inequalities, real-world context
• Create linear absolute value equations, real-world context
• Functions
• Identifying Functions
• Determine function definition, fill in the blank
• Determine & justify functions, table representations, no domain & range language
• Determine functions, set & table representations
• Identify & determine functions, set & table representations
• Determine functions, mapping representations, no domain & range language
• Determine functions, mapping representations
• Given relation & additional point, determine functions, multiple representations
• Determine functions, graphical representations
• Given step graphs, identify functions
• Determine functions, multiple representations, including justification, no domain & range language
• Identify functions, description representations
• Identifying & Justifying Functions
• Determine & justify functions, mapping representations, no domain & range language
• Determine & justify functions, mapping representations
• Determine & justify functions, set representations, no domain & range language
• Determine & justify functions, set representations
• Identify functions using equivalent mapping diagrams & sets of ordered pairs
• Determine & justify functions, table representations
• Determine & justify functions, graphical representations
• Identify & justify functions & non-functions, graphical representations
• Identify functions, multiple representations, including justification
• 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
• Given graph, determine domain & range
• Determine restricted domain & range of linear functions
• Determine discrete domain & range, real-world context
• Determine continuous domain & range, real-world context
• Condensed: Determine domain & range, including real-world context
• Function Notation
• Given set or table, determine function value
• Given linear function, determine function value
• Condensed: Given graph or linear function, determine function value
• Given quadratic function, determine function value
• Condensed: Given linear or quadratic function, determine function value
• Given graph, determine function value
• Interpret & solve problems involving function notation, real-world context
• Determine Parent Functions & Points of Intersection
• Determine whether given table represents linear or exponential function
• Determine points of intersection of various functions, not absolute value or polynomial
• Condensed: Determine points of intersection of functions
• Determine whether given table represents linear, exponential, or quadratic function
• Determine whether given graph represents linear, exponential, or quadratic function
• Condensed: Determine what function given table or graph represents
• Graph Functions
• Given various functions, identify graph
• Given graph, identify various functions
• Inverse Functions
• Determine inverse of linear function
• Determine inverse of quadratic & square root functions
• Determine inverse of cubic & cube root functions
• Condensed: Determine inverse of linear, quadratic, square root, cubic, & cube root functions
• Determine inverse of various functions
• Linear Concepts
• Determining Solution of Linear Equation
• Given linear equation in slope-intercept form, determine if point is on line
• Given linear equation in slope-intercept form, identify point on line
• Given linear equation in standard form, determine if point is on line
• Given linear equation in standard form, identify point on line
• 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 & 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
• Condensed: Given linear equation in slope-intercept form & graph, identify point on line
• Given graph of linear equation, identify point on line
• Slope of Line
• 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 of linear equation, determine rate of change & specific value
• 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 function, determine slope & y-intercept
• Given linear graph, determine slope & y-intercept, integer slope
• 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
• Compare rates of changes represented differently
• Condensed: Compare rates of change
• Identifying Slope Category
• Given graph of horizontal or vertical line, determine rate of change
• Given linear graph, identify type of slope
• Identify linear graph with specific type of slope
• Given linear equation, identify type of slope
• Given table of linear equation, identify type of slope
• Condensed: Identify type of slope
• Finding Slope
• Finding Slope Given Points
• Given two points with integer coordinates, determine rate of change
• Given two points, determine rate of change, integer solution, including undefined
• Given two points, determine rate of change, one coordinate is fraction
• Given two points, determine rate of change, two coordinates are fractions
• Given table of linear equation, determine rate of change
• Finding Slope Given Equation or Graph
• Given equation in point-slope form, identify slope
• Given equation in slope-intercept form, determine rate of change, integer solution
• Given equation in slope-intercept form, determine rate of change
• Given equation of horizontal or vertical line, determine rate of change
• Given linear equation in standard form, determine rate of change
• 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 linear graph, determine slope & y-intercept
• Given graph of piece-wise function, determine rate of change over specific interval
• Application of Slope
• Given graph or table of linear function, determine slope or y-intercept, real-world context
• Given right triangle, use legs to determine slope, real-world context
• Given graph of similar right triangles, identify equivalent slopes
• Writing Equation of Line
• Writing Equation Given Point & Slope
• Given slope & y-intercept, determine equation
• Given point & integer slope, determine linear equation in point-slope form, including slope-intercept form conversion
• Given point & integer slope or rate of change, determine linear equation in slope-intercept form
• Given point & integer slope, determine linear equation in slope-intercept form
• Given point & fractional slope, determine linear equation in point-slope form, including slope-intercept form conversion
• Given point & fractional slope, determine linear equation in slope-intercept form, integer y-intercept
• Given point & fractional slope, determine linear equation in slope-intercept form, fractional y-intercept
• Writing Equation Given Two Points
• Given two points, determine linear equation in slope-intercept form, integer slope
• 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, integer slope, including slope-intercept form conversion
• Given two points, determine linear equation in slope-intercept form, fractional slope
• Given two points, determine linear equation in point-slope form, fractional 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, undefined slope
• Given two points, determine linear equation, zero slope
• Given linear table, determine slope, y-intercept, & equation
• Given intercepts, determine linear equation in slope-intercept form
• Writing Equation Given Various Components
• Given linear equation, write equation in requested form
• Given points or slope & point, determine linear equation in standard form
• Given points or slope & point, determine linear equation in point-slope or standard form
• Given points or slope & point, determine linear equation in various forms
• Condensed: Given two points, determine linear equation in slope-intercept form, including horizontal & vertical lines
• Writing Equation Given Graph
• Writing Equation Given Graph Through Origin
• Given linear graph through origin, determine equation in slope-intercept form, integer slope, 1 ≤ |m| ≤ 3
• Given linear graph through origin, determine equation in slope-intercept form, integer slope
• Given linear graph through origin with points shown on line, determine equation in slope-intercept form, integer slopes
• Writing Equation Given Graph, 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 linear graph, determine equation in slope-intercept form, fractional slopes
• Given linear graph, determine slope, y-intercept, & equation
• Given linear graph, identify equation, slope-intercept form
• Condensed: Given linear graph, determine equation in slope-intercept form & specific value, various scales, including real-world context
• Given equation in slope-intercept form, identify graph, integer slopes, various scales
• Writing Equation Given Graph, Various Forms
• Given linear graph, determine equation in point-slope form
• Given linear graph, determine equation in standard form
• Given linear graph, identify equation, various forms
• Identify Equivalent Graphs & Equations
• 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
• Intercepts
• Intercepts, Given Graph
• Given linear graph, plot y-intercept
• Given linear graph, plot x-intercept
• Given linear graph, determine coordinates of y-intercept
• Given linear graph, determine coordinates of x-intercept
• Given linear graph, locate intercept or determine coordinates, various scales
• Given linear graph, identify equation, various forms
• Intercepts, Given Equation
• Given linear equation in slope-intercept form, plot y-intercept
• Given equation of horizontal or vertical line, plot y-intercept
• Given linear equation in slope-intercept form, determine coordinates of y-intercept
• Given linear equation in slope-intercept form, determine coordinates of x-intercept
• Given linear equation in standard form, determine coordinates of y-intercept
• Given equation of horizontal or vertical line, determine coordinates of y-intercept
• Given equation of horizontal or vertical line, determine coordinates of x-intercept
• Given linear equation, determine intercepts
• Condensed: Given linear equation, determine x- or y-intercepts
• Equations, Tables, & Graphs
• Equation to Table
• Fill Missing Value in Table
• 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, fill missing value in table, integer slope, Δx ≥ 5
• 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
• Given linear equation & one x-value, determine y-value in table
• Fill Table
• Given linear equation & table, determine another point, m = 1
• Given linear equation & table, determine another point, integer slope, b = 0
• Given linear equation, determine table values
• Given linear equation & two x-values, determine y-values in table
• Given linear equation, fill table, m = 1
• Given linear equation, fill table, integer slope, b = 0
• Given linear equation, fill table, integer slope
• Given horizontal or vertical linear equation, fill table
• Given description & linear equation, fill table & determine solution, real-world context
• Equation to Graph
• Standard Form to Graph
• Given linear equation in standard form, graph
• Given linear equation in standard form, graph, scrambled variable terms
• Determine linear equation in standard form & graph, real-world context
• Condensed: Determine linear equation in standard form & graph, including real-world context
• Slope-Intercept Form to Graph
• Slope-Interecept Form to Graph Scale of One
• Graph linear equations, m = 1
• Graph linear equations, integer slope not including one & negative one, b = 0
• Graph linear equations, integer slope not including one & negative one
• Graph proportional linear equation
• Graph linear equations, fractional slope
• Condensed: Given linear equation or description, determine graph, fractional slope, including real-world context
• Given description of linear equation, identify graph, fractional slope, real-world context
• Condensed: Identify equivalent equations, graphs, & tables
• Slope-Intercept Form to Graph Various Scales
• Graph linear equations, m = 1, various scales
• Given equation in slope-intercept form, graph line, m = ±1, various scales
• Graph linear equations, integer slope, various scales
• Graph linear equations, fractional slope, various scales
• Graph linear equations, including horizontal & vertical, integer slope, various scales
• Condensed: Graph linear equations, including horizontal & vertical, various scales
• Basic Graphing
• Given table, graph proportional linear equation
• Given point & integer slope, graph line
• Given point & slope, graph line
• Graph to Table
• 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 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 through origin, determine table value, table point off graph
• Given linear graph through origin, determine table values, one table point off graph
• Table to 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 representing horizontal linear equation, determine equation
• Given table representing vertical linear equation, determine equation
• Given table, identify linear equation in slope-intercept form, rational constants & coefficients
• Given description, determine linear equation, fill table, & determine solution, real-world context
• Identifying Key Features of Linear Function
• Given table of linear equation, determine slope & intercepts
• Given graph of linear equation, determine slope & intercepts
• Given linear equation in standard form, determine slope
• Given linear equation in standard form, solve for y
• Given equation in slope-intercept form, identify slope & y-intercept
• Given linear equation, determine slope & intercepts
• Condensed: Given linear equation in standard form, solve for y or determine slope
• Condensed: Given linear equation in various forms, determine slope or convert to slope-intercept form
• Given positive point & whole number slope, determine y-intercept, equation, & specific value
• Given point & integer slope, determine y-intercept, equation, & specific value
• Given linear graph, determine equation in slope-intercept form & specific value, various scales
• 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
• 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
• Given two slope-intercept form equations, identify as parallel or perpendicular
• 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 equations in standard form, identify as parallel or perpendicular
• Given two pairs of points, determine if lines containing points are parallel or perpendicular
• Identify equation that is parallel or perpendicular to line through two given points
• 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
• 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
• 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
• Line of Best Fit & Scatter Plots
• Identify positive & negative correlations in scatter plots
• Identify linear & nonlinear associations in scatter plots
• 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
• Condensed: Sketch line of best fit & determine equation
• Sketch line of best fit & determine predicted value
• Sketch line of best fit & determine equation, real-world context
• Determine residuals
• Linear Word Problems
• Identifying Key Features Given Verbal Description
• 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
• Given slope & intercept, interpret linear relationship & determine slope-intercept equation, including negative 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
• Form 6 – Given linear graph, interpret linear relationship & determine slope-intercept equation
• Condensed: Forms 3 to 5 – Given linear word problem, interpret linear relationship, determine slope-intercept equation, & graph
• Given description of linear relationship, determine slope, y-intercept, & equation, real-world context
• Determine linear equation in standard form & graph, real-world context
• Form 7 – Given linear word problem, graph & interpret relationship, four quadrants
• Choosing Correct Model Given Verbal Description
• Given description of linear equation, identify graph, integer slope, real-world context
• Given description or table, determine linear graph, real-world context
• Given description, determine equation & specific value, real-world context
• Given description of linear relationship, identify graph, table, or equation, real-world context
• Identify equivalent representations of linear relationship, including real-world context
• Given linear word problem, identify graph
• Given linear equation, interpret slope & y-intercept, real-world context
• Absolute Value Functions
• Determine x- & y-intercepts of absolute value functions
• Determine minimum & maximum of absolute value functions
• Identify & graph reflections of absolute value functions
• Identify & graph vertical & horizontal shifts of absolute value functions
• Identify & graph vertical & horizontal stretches & compressions of absolute value functions
• Given absolute value equation, identify description of transformation
• Condensed: Determine graphical attributes of absolute value functions
• Graph absolute value functions using all transformations
• Condensed: Graph absolute value functions using any transformation
• Graph absolute value functions using vertex & intercepts
• Determine points of intersection of absolute value functions
• Compare absolute value functions represented differently
• Systems
• Systems of Equations
• Determining Solution to System of Equations
• Given tables, determine system of linear equations
• Given table representing system of linear equations, determine solution, real-world context
• Given graph of system of linear equations, identify specific domain value, real-world context
• Graph systems of linear equations & determine solutions, including real-world context
• 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
• Determine & justify solutions to systems of linear equations, real-world context
• Condensed: Determine systems of linear equations & solutions, including real-world context
• Solving Systems of Equations, Graphing
• Given graph of system of linear equations, determine solution, rays on graph to establish pattern
• Given graph of system of linear equations, determine equations in slope-intercept form
• Determine & verify graphical solutions to systems of linear equations, slope-intercept form
• Given system of linear equations, graph system, including tables
• Given system of linear equations, determine point of intersection, slope-intercept form
• Given system of linear equations, graph & determine point of intersection, slope-intercept form
• 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
• 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
• 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
• Determine systems of linear equations & solutions, substitution bias, real-world context
• Determine solutions of linear equations, substitution bias, including given system, real-world context
• Solve systems of linear equations, infinite possibilities or no solution
• 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
• Determine systems of linear equations & solutions, elimination bias, real-world context
• Solve systems of linear equations, multiply at most one equation
• Solve systems of linear equations, multiply one or both equations
• Condensed: Solve or determine system of equations, both equations in standard form
• Solving Systems of Equations, Mixed Methods
• Given system of linear equations, determine point of intersection, at least one equation with variables on both sides
• Condensed: Determine systems of linear equations & solutions
• Systems of Inequalties
• Basic Systems of Inequalities
• Given graph, determine solution of systems of linear inequalities
• Determine equivalent systems of linear inequalities & graphical solutions
• Graph systems of two linear inequalities, slope-intercept form
• Graph systems of three linear inequalities, slope-intercept form
• Solve systems of linear inequalities
• Application of Systems of Inequalities
• Given linear system of inequalities graph, identify true statements
• Given description, determine system of linear inequalities in standard form & solution point, real-world context
• Given description, determine system of linear inequalities in standard form & identify solution point, including three inequalities, real-world context
• Condensed: Given description, determine system of linear inequalities in standard form & determine solution points, real-world context
• Given description & graph, determine system of linear inequalities in standard form & shaded region, real-world context
• Given description & graph, determine system of linear inequalities in standard form & shaded region, including three inequalities, real-world context
• Condensed: Given description, determine system of linear inequalities in standard form, shaded region, & true statements, real-world context
• Given description of system of linear inequalities, identify graph of system
• Given description, determine system of linear inequalities in standard form & identify graph, real-world context
• Given description, determine system of linear inequalities in standard form & graph, real-world context
• Condensed: Given description, determine system of linear inequalities in standard form & shaded region & determine solution points, real-world context
• Condensed: Graph system of linear inequalities & determine system of linear inequalities, including real-world context
• Exponents
• Power Rule of Exponents
• Apply power rule, one variable, positive exponents
• Apply power rule, including multiple variables, positive exponents
• Apply power & product rules of exponents, one variable, positive exponents
• Apply product & power rules of exponents, one variable, coefficient of negative one
• Apply power & product rules of exponents, multiple variables, positive exponents
• Apply power & product rules of exponents, fraction with numerator of one, positive exponents
• Product Rule of Exponents
• Product of Powers, Only Variables
• Express repeated variables as powers, single variable
• Express repeated variables as powers, multiple variables
• Express powers as repeated variables
• Simplify single variable powers, negative base or coefficient
• 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
• Product of Powers, Including Coefficients
• Express repeated variables as powers or powers as repeated variables
• Express repeated variables as powers, coefficients other than one
• Apply product rule of exponents, positive exponents
• Apply product rule of exponents, one variable, positive exponents, coefficients other than one
• Quotient Rule of Exponents
• 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, positive exponents
• Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, positive exponents
• Apply quotient rule of exponents, two or three variables, two or three factors in numerator & denominator, positive exponents
• Apply product & quotient rules of exponents, one or two variables, positive exponents
• Negative Exponents
• Basic Negative Exponents
• Express negative power using positive exponent
• Power Rule with Negative Exponents
• Apply power rule, one variable, at least one negative exponent
• Apply power rule, one variable, including non-positive exponents
• Apply power rule, one variable, coefficient of negative one, at least one negative exponent
• Apply power rule, including multiple variables & negative exponents
• Apply power rule, coefficient of negative one, multiple variables, including negative exponents
• Apply power rule, negative base or coefficient, multiple variables, including negative exponents
• Apply power rule, including multiple variables & negative exponents
• Apply power rule, coefficient of negative one in power, including multiple variables & negative exponents
• Apply power rule of exponents, negative exponents
• Apply power & product rules of exponents, fraction with numerator of one, including negative exponents
• Apply power & product rules of exponents, fraction with numerator of one, coefficient of negative one in power, including negative exponents
• Apply product, quotient, & power rules of exponents, multiple variables, coefficient of negative one
• Product Rule with Negative Exponents
• Apply power rule, multiple variables, coefficients other than one, including negative exponents
• Apply product rule of exponents, one variable, no coefficients, at least one negative exponent
• Apply product rule of exponents, negative exponents
• Apply product rule of exponents, two variables, three to four factors, at least one negative exponent
• Apply product rule of exponents, two variables, three to four factors, one variable cancels
• Apply product rule of exponents, two variables, four to six factors, at least one negative exponent
• Apply product rule of exponents, two variables, four to six factors, at least one variable cancels
• Apply product rule, multiple variables, coefficients other than one, including negative exponents
• Quotient Rule with Negative Exponents
• Apply quotient rule of exponents, one variable, at least one negative exponent
• Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, at least one negative exponent
• Apply quotient rule of exponents, two or three variables, two or three factors in numerator & denominator, at least one negative exponent
• Apply quotient rule of exponents, negative exponents
• Apply product & quotient rules of exponents, one or two variables, at least one negative exponent
• Mixed Properties of Exponents
• Simplifying Exponential Expressions
• Express negative power using positive exponent, coefficient other than one
• Apply power rule of exponents, positive exponents
• Simplify powers, fractional algebraic base, including negative exponents
• Apply product rule of exponents, coefficients other than one
• Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, positive exponents, coefficients other than one
• Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, including negative exponents, coefficients other than one
• Apply product, quotient, & power rules of exponents, one variable
• Apply product & quotient rules of exponents, multiply two fractions, one or two variables, at least one non-positive exponent
• Apply power, product, & quotient rules of exponents, positive exponents
• Apply power, product, & quotient rules of exponents, including negative exponents
• Apply power, product, & quotient rules of exponents, including negative exponents & coefficient of negative one in power
• Multiplying Exponential Expressions
• Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent
• Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent
• Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one negative exponent
• Apply product & quotient rules of exponents, divide fractions, one or two variables, coefficients other than one, including negative exponents
• Apply product & quotient rules of exponents, multiply two fractions, multiple variables, positive exponents
• Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent
• Apply power, product, & quotient rules of exponents, multiply fractions, positive exponents
• Apply power, product, & quotient rules of exponents, multiply fractions, including negative exponents
• Dividing Exponential Expressions
• Apply product & quotient rules of exponents, divide two fractions, one or two variables, at least one non-positive exponent
• Apply product & quotient rules of exponents, multiply fractions, one or two variables, coefficients other than one, including negative exponents
• Apply product & quotient rules of exponents, divide two fractions, multiple variables, at least one non-positive exponent
• Apply product & quotient rules of exponents, divide two fractions, multiple variables, at least one non-positive exponent
• Apply power, product, & quotient rules of exponents, divide fractions, positive exponents
• Apply power, product, & quotient rules of exponents, divide fractions, including negative exponents
• Mixed Operations of Exponential Expressions
• Apply product & quotient rules of exponents, negative exponents
• Apply product & quotient rules of exponents, negative exponents, coefficients other than one
• Apply product, quotient, & power rules of exponents, multiple variables
• Application of Exponents
• Determine algebraic expressions for perimeter & area of rectangles
• Given algebraic expressions for area & side of rectangles, determine expression for missing side
• Numerical Exponential Expressions
• Evaluate powers, whole number base, non-positive exponent
• Evaluate powers, integer base, non-positive exponent, including negative coefficients
• Evaluate powers, positive fractional base, including non-positive exponents
• Evaluate powers, fractional base, positive exponent
• Evaluate powers, fractional base, negative exponent
• Evaluate powers, fractional bases
• Condensed: Evaluate powers with negative exponents
• Rational Exponents
• Evaluate numerical expressions with rational exponents
• Simplify numerical expressions with rational exponents
• Determine square roots of perfect squares
• Determine principal square root of perfect squares
• Simplify square roots
• Simplify square roots, coefficient greater than one
• Identify steps to simplify square roots
• Given square root expression, evaluate for specific value
• Condensed: Simplify square roots, including algebraic expressions
• Evaluate perfect cube roots
• Simplify radical expressions, perfect powers
• Multiply radical expressions, numbers & variables
• Solve perfect square root equations
• Condensed: Determine square roots of perfect squares
• Solve perfect cube root equations
• Condensed: Determine cube roots of perfect cubes
• Condensed: Evaluate & compare perfect square & cube roots
• Solve square root equations, square root = #
• Solve square root equations, square root = square root
• Solve square root equations, add & subtract from root
• Identifying Key Features of Quadratic Functions
• Determine Intercepts
• Determine x-intercept(s) of quadratic functions
• Determine y-intercept of quadratic functions
• Determine x-intercepts/zeros & y-intercepts of quadratic functions, vertex form
• Determine zero(s)/x-intercept(s) of quadratic functions, b = 0
• Determine zero(s) of quadratic functions
• Given graph or table of quadratic function, determine x- & y- intercepts
• Determine Maximum & Minimum Values
• Given graph of quadratic function, determine minimum or maximum value
• Given quadratic equation, determine minimum or maximum value
• Determine minimum & maximum of quadratic functions
• Determine Vertex, Symmetry, Increase & Decrease, & End Behavior
• Determine vertex of quadratic functions
• Determine symmetry of quadratic functions
• Determine intervals of increase & decrease of quadratic functions
• Determine intervals where quadratic function is positive or negative
• Determine end behavior of quadratic functions
• Determine Attributes & Graph
• Determine axis of symmetry, vertex, & minimum & maximum of quadratic functions, vertex form
• Given graph of quadratic function, determine attributes
• Condensed: Determine graphical attributes of quadratic functions
• Condensed: Given graph, equation, or table, determine attributes of quadratic function
• Given quadratic equation, determine attributes & graph, a ≠ ±1
• Given quadratic equation, determine attributes & graph, a = 1
• Given quadratic equation, determine attributes & graph, a = -1
• Condensed: Given quadratic equation, determine attributes & graph
• Given quadratic equation, determine graph, b = 0
• Given quadratic equation, determine graph, b = 0, including fractional leading coefficient
• Given quadratic equation in vertex form, determine graph
• Given quadratic equation in standard form, determine graph
• Graph quadratic functions using all transformations
• Given equation, graph quadratic function
• Given quadratic equation, vertex, & point, graph function & determine attributes
• Condensed: Graph quadratic functions using any transformation
• Writing Equations of Quadratic Functions
• Given graph of quadratic function, determine equation
• Given graph of quadratic function, determine equation
• Given vertex & point, determine quadratic equation, vertex form
• Given quadratic equation in standard form, determine vertex form of equation
• Given vertex & point, determine quadratic equation, standard form
• Given graphical attributes, determine equation of parabola
• Given quadratic equation in vertex form, determine standard form of equation
• Apply zero product property to solve factored quadratic equations
• Identify zeros of factored quadratics
• Determine relationship between zeros & linear factors of quadratic functions
• Solve quadratic binomial equation by factoring out GCF
• Solve quadratic binomial equation by factoring out GCF, one term on each side
• Solve quadratic binomial equation by factoring out GCF, combining like terms necessary
• Solving Quadratics, Factoring Trinomials & Difference of Squares
• Solve quadratic equations using factoring, a = 1, b > 0, 0 < c ≤ 40, zero on one side
• Solve quadratic equations using factoring, a = 1, b ≠ 0, |c| ≤ 40, zero on one side
• Solve quadratic equations using factoring, a = 1, b ≠ 0, c ≤ 40, terms on both sides
• Solve quadratic equations using factoring, 1 ≤ a ≤ 10, b > 0, 1 ≤ c ≤ 10, terms on both sides
• Solve quadratic equations using factoring, 0 < a ≤ 10, b > 0, 0 < c ≤ 40, zero on one side
• Solve quadratic equations using factoring, |a| ≤ 10, b ≠ 0, |c| ≤ 40, zero on one side
• Solve quadratic equations using factoring, |a| ≤ 10, |c| ≤ 40, terms on both sides
• Solve quadratic equations using factoring, 1 ≤ a ≤ 10, b > 0, 1 ≤ c ≤ 10, zero on one side
• Solve quadratic equations using factoring, difference of squares
• Factor perfect square trinomials, degree two, one variable
• Factor perfect square trinomials, degree two, two variables
• Solving Quadratics, Square Root Method
• Determine solutions to quadratic equations, a ≠ ±1, b = 0, integer solutions
• Determine solutions to quadratic equations, a ≠ ±1, b = 0, rounded solutions
• Determine solutions to quadratic equations, a ≠ ±1, b = 0, integer or rounded solutions
• Determine fractional solution to quadratic equations, a ≠ ±1, b = 0
• Determine exact solution to quadratic equations, a = ±1, b = 0
• Condensed: Determine solutions to quadratic equations, a ≠ ±1, b = 0
• Given quadratic equation in standard form, determine discriminant
• Given quadratic equation in standard form, determine number of solutions
• Given quadratic equation in standard form, determine solutions rounded to nearest hundredth
• Given quadratic equation, determine solutions rounded to nearest hundredth, constant on one side
• Given quadratic equation, determine solutions rounded to nearest hundredth, combine like terms first
• Given quadratic equation in standard form, determine attributes & solutions rounded to nearest hundredth
• Given quadratic equation in standard form, determine exact solutions
• Given quadratic equation in standard form, determine exact solutions, combine like terms first
• Solving Quadratics, Completing the Square
• Determine constant required to complete the square, a ≥ 1, including fractions
• Solve quadratic equations, complete the square, integers, a = 1, real solutions
• Solve quadratic equations, complete the square, integers, a > 1, real solutions
• Solve quadratic equations, complete the square, a > 1, real solutions
• Condensed: Solve quadratic equations, complete the square, integers, real solutions
• Identify & graph vertical & horizontal shifts of quadratic functions
• Identify & graph vertical & horizontal stretches & compressions of quadratic functions
• Given quadratic equation, identify description of transformation
• Identify descriptions of graphs of quadratic parent functions & transformed functions
• Given description of transformation, determine quadratic function
• Describe parameter changes to quadratic parent functions
• Determine effects of parameter changes in quadratic relationships, real-world context
• Vertical Motion Problems
• Given initial height & velocity of object in vertical motion, determine function, table, & graph of position
• Given initial height & velocity of object in vertical motion, determine position function & maximum height
• Given initial height & velocity of object in vertical motion, determine position function & time to maximum height
• Given initial height & velocity of object in vertical motion, determine position function & time to ground
• Given initial height & velocity of object in vertical motion, determine position function & specific time
• Given initial height at ground & positive velocity of object in vertical motion, determine position function & time to ground
• Given initial height & negative velocity of object in vertical motion, determine position function & specific time
• Given initial height & velocity of object in vertical motion, determine position function, specific time, & specific height
• Given height of dropped object, determine position function & specific time
• Condensed: Given initial height & velocity of object in vertical motion, determine position function, maximum height, or time to maximum height
• Condensed: Given initial height & velocity of object in vertical motion, determine position function & specific times
• Condensed: Given initial height & velocity of object in vertical motion, determine position graph, position function, & specific times
• Domain & Range of Quadratic Functions
• Given description of domain & range of quadratic function, choose graph
• Given graph of quadratic function, determine domain & range
• Given equation of quadratic function, determine domain & range
• Condensed: Determine domain & range of quadratic function
• Determine restricted domain & range of quadratic functions
• Absolute Value Functions
• Given graph, determine absolute value equation
• Given description of transformation, determine absolute value equation
• Condensed: Graph absolute value functions using any transformation
• Exponential Functions
• Evaluating Exponential Functions
• Given exponential function, determine function value, non-negative input
• Given exponential function, determine function value, negative input
• Given exponential function, determine function value, rational base
• Given exponential function, determine function value, rational coefficient
• Given exponential function, determine function value, rational base & coefficient
• Graphing Exponential Functions
• Given exponential growth function, determine graph
• Given exponential growth function, determine graph, includes fractional coefficients
• Given exponential growth or decay function, determine graph, includes fractional coefficients
• Given graph, identify solution to exponential equation
• Given graph, determine equation of exponential function
• Given equation, graph exponential function
• Given equation, graph exponential function, including base e
• Writing Exponential Functions
• Given table, determine exponential growth function
• Given table, determine exponential decay function
• Given table, determine linear or exponential growth function
• Given graph, determine equation of exponential function
• Application of Exponential Functions
• Calculate investment value, annual compounding
• Calculate investment value, various compounding
• Calculate depreciating asset value, annual compounding
• Condensed: Calculate investment & depreciating asset values, annual compounding
• Determine exponential function, real-world context
• Given table, determine attributes of exponential function
• Interpret values in exponential functions, real-world context
• Given absolute value equation, identify description of transformation
• Polynomials
• Standard Form of Polynomials
• Identify leading coefficient of polynomials
• Identify leading coefficient of polynomials, including two variables
• Identify terms of expressions
• Determine degree, leading coefficient, & type of polynomial
• Condensed: Determine degree, lead coefficient, standard form, & type of polynomial, including two variables
• Determine standard form of polynomial, no like terms
• Determine standard form of polynomial, like terms
• Determine standard form of polynomial, no like terms, including two variables
• Determine standard form of polynomial, like terms, including two variables
• Classifying Polynomials
• Determine degree of polynomials
• Determine degree of polynomials, including two variables
• Identify polynomial as monomial, binomial, or trinomial
• Identify polynomial as monomial, binomial, or trinomial, including two variables
• Classify polynomials by degree
• Classify polynomials by degree & number of terms
• Condensed: Classify polynomials & identify components of polynomials
• Operations of Polynomials
• Addition & Subtraction of Polynomials
• Add binomials & trinomials, degrees zero to two
• Subtract binomials & trinomials, degrees zero to two
• Add binomials & trinomials, degrees zero to three
• Subtract binomials & trinomials, degrees zero to three
• Condensed: Add or subtract binomials & trinomials
• Multiplication & Division of Polynomials
• Multiply monomial times binomial or trinomial, degrees zero to two
• Multiply monomial times binomial or trinomial, mixed degrees
• Multiply binomial times binomial, both degree one
• Square linear binomial
• Condensed: Multiply binomial times binomial
• Multiply binomial times binomial, mixed degrees
• Multiply linear binomial times quadratic trinomial
• Multiply binomial times trinomial, mixed degrees
• Divide polynomials, degree one or two by degree one or two
• Divide polynomials, degree three or four by degree one
• Divide polynomials, divisor supports synthetic division
• Mixed Operations of Polynomials
• Condensed: Add or subtract binomials & trinomials or multiply monomial times binomial or trinomial
• Factoring Polynomials
• GCF or LCM of Polynomials
• Determine GCF in polynomials, one variable
• Determine GCF of two monomials, two variables
• Determine LCM of two monomials, two variables
• Condensed: Determine GCF or LCM of two monomials, two variables
• Factor GCF in polynomials, degree one or two, one variable
• Factor GCF in polynomials, one variable
• Factor GCF in polynomials, including two variables
• Determine missing component of GCF
• Given GCF & one monomial, identify second monomial
• Factoring Trinomials, a=1
• Factor quadratic trinomials, a = 1, b > 0, c > 0
• Factor quadratic trinomials, a = 1
• Factor quadratic trinomials, a = 1, terms scrambled
• Factor quadratic trinomials, 1 ≤ a ≤ 10, 0 < c ≤ 10
• Factor quadratic trinomials, 1 ≤ a ≤ 10, 0 < |c| ≤ 10
• Condensed: Factor quadratic trinomials, 1 ≤ a ≤ 10, 0 < c ≤ 10 or 0 < |c| ≤ 10
• Factoring Trinomials, a>1
• Factor quadratic trinomials, 1 < a ≤ 10, no GCF
• Factor quadratic trinomials, 1 < |a| ≤ 10, 0 < |c| ≤ 30
• Factor quadratic trinomials, 1 < a ≤ 10, 0 < c ≤ 30
• Factor quadratic trinomials, 1 < |a| ≤ 30, 0 < |c| ≤ 40
• Factor quadratic trinomials, 1 < a ≤ 30, 0 < c ≤ 40
• Factoring Using Difference of Squares
• Factor difference of two squares, degree two, one variable, coefficient one
• Factor difference of two squares, degree two, one variable, terms scrambled
• Factor difference of two squares, degree two, one variable
• Factor difference of two squares, two variables
• Factor difference of two squares, one or two variables
• Condensed: Factor difference of two squares, degree two
• Mixed Factoring
• Factor GCF & remaining quadratic expression, a = 1, one variable
• Factor GCF & remaining quadratic expression, a ≥ 1, one variable
• Factor common binomial
• Factor binomial & its opposite
• Factor cubic polynomial by grouping, one variable
• Factor cubic polynomial by grouping & difference of two squares, one variable
• Identify factors of polynomials
• Application of Polynomials
• Determine sums of polynomials or missing polynomial addends
• Determine differences of polynomials or missing polynomial subtrahends
• Condensed: Determine sums or differences of polynomials or missing polynomial operands
• Given polynomial & sum of polynomials, determine missing polynomial
• Given polynomial & difference of polynomials, determine missing polynomial
• Add & subtract polynomials to determine expressions for perimeter of various shapes
• Given monomial & binomial or trinomial, multiply or identify missing value
• Determine missing value to make polynomial statement true, multiplication
• Multiply polynomials to determine expressions for areas of rectangles & triangles
• Divide quadratic trinomial by linear binomial, word problem context
• Add & multiply polynomials to determine expressions for area & perimeter of rectangles & triangles
• Rational Expressions & Functions
• Operations of Rational Expressions
• Multiply rational expressions
• Divide rational expressions
• Simplifying Rational Expressions
• Simplify rational expressions by factoring GCF, one monomial & one binomial
• Simplify rational expressions by factoring GCF, two binomials
• Simplify rational expressions by factoring GCF, two binomials, remaining binomials cancel
• Simplify rational expressions by factoring GCF, one trinomial or difference of squares
• Simplify rational expressions by factoring GCF, trinomials & differences of squares
• Simplify rational expressions by factoring GCF, remaining leading coefficient one
• Condensed: Simplify rational expressions
• Condensed: Simplify rational expressions, including trinomials
• Rational Functions
• Identify value that makes rational expression undefined
• Determine values that make rational expressions undefined
• Given rational function, determine function value
• Graph rational functions
• Sequences
• Arithmetic Sequences
• Determine terms in arithmetic sequences
• Given arithmetic sequence, determine common difference & next term
• Given formula, determine specific term of arithmetic sequence
• Determine common difference, first term, & formula of arithmetic sequences
• Condensed: Determine formula & specific terms of arithmetic sequences
• Geometric Sequences
• Given formula, determine specific term of geometric sequence
• Determine formula & specific term of geometric sequences
• Determine function & specific term for geometric sequences, real-world context
• Condensed: Determine formula or specific term of geometric sequences
• Arithmetic & Geometric Sequences
• Identify arithmetic & geometric sequences & determine common difference or common ratio
• Given table, determine difference in terms in arithmetic sequence, real-world context
• Given formula, determine terms in arithmetic & geometric sequences
• Determine function & specific term for arithmetic & geometric sequences, real-world context
• Condensed: Identify arithmetic & geometric sequences & determine components of sequences
• Data Analysis & Probability
• Counting Methods
• Fundamental Counting Principle
• Determine number of combinations using fundamental counting principle, real-world context
• Determine number of combinations using fundamental counting principle, including repeated letters & digits, real-world context
• Permutations
• Given visual model, determine permutations, specified items predetermined
• Determine permutations using all items, real-world context
• Determine permutations, real-world context
• Determine permutation of letters in word, nondistinct letters
• Determine permutation of letters in word, distinct letters
• Determine permutations, one nondistinct item, real-world context
• Determine permutations, multiple nondistinct items, real-world context
• Condensed: Determine permutation of letters in word, including nondistinct letters
• Combinations
• Given lists, determine combinations, choose from one list, real-world context
• Given lists, determine combinations, choose from two lists, real-world context
• Determine combinations, real-world context
• Permutations & Combinations
• Determine combinations & permutations, two questions, real-world context
• Determine combinations & permutations, four questions, real-world context
• Probabiltiy
• Basic Probability
• Determine sample spaces
• Classify probabilities by levels of likelihood
• Determine odds
• Determine probabilities & odds, including visual models
• Determine equivalent probabilities & odds
• Determine theoretical probabilities
• Determine theoretical probabilities, fraction answers
• Determine probabilities of single events
• Determine probabilities & complementary probabilities of single events, including visual models
• Determine probabilities & complementary probabilities of single events as fractions, decimals, or percents, including visual models
• Determine probabilities of flipping coins specified number of times
• Compound Probability
• Determine AND Probabilities
• Given visual model, determine "and" probability as fraction, decimal, or percent, dependent events
• Determine "and" probabilities, independent events, visuals provided
• Determine "and" probabilities, independent events, same sample space
• Determine "and" probabilities, independent events, two distinct sample spaces
• Determine probabilities of flipping coins & rolling die
• Determine "and" probabilities, dependent events, multiple choice
• Determine "and" probabilities, dependent events
• Determine "and" probabilities, independent & dependent events
• Determine "and" probabilities, independent & dependent events, including complementary events
• Determine OR Probabilities
• Given visual model, determine "or" probability
• Given visual model, determine "or" probability as fraction, decimal, or percent
• Determine "or" probabilities as fractions
• Determine "or" probabilities as fractions, decimals, or percents
• Determine "or" probabilities
• Given visual model, determine "or" probability
• Given visual model, determine "or" probability as fraction, decimal, or percent
• Determine "and" probabilities, independent events, visuals provided
• Determine "and" probabilities, independent events, same sample space
• Determine "and" probabilities, independent events, two distinct sample spaces
• Determine "and" probabilities, dependent events, multiple choice
• Determine "and" probabilities, dependent events
• Given visual model, determine "and" probability as fraction, decimal, or percent, dependent events
• Determine probabilities of flipping coins & rolling die
• Determine "or" probabilities as fractions
• Determine "or" probabilities as fractions, decimals, or percents
• Determine "and" probabilities, independent & dependent events
• Determine "and" probabilities, independent & dependent events, including complementary events
• Determine "or" probabilities
• Experimental Probability & Sampling
• Identify samples & populations
• Identify biased samples & questions
• Identify variables of interest
• Identify simulations used to acquire simple random samples
• Identify simulations to model probability events
• Identify statistical inferences
• Condensed: Identify samples, populations, variables of interest, & statistical inferences
• Determine size of sample spaces, compound events
• Determine sample spaces, compound events
• Determine experimental probabilities
• Determine experimental probabilities, fraction answers
• Compare data from two samples, various representations
• Predictions from Probabilities
• Determine inferences from samples
• Determine predicted values or compare likelihood of events
• Determine predicted values, theoretical probability
• Determine predicted values, experimental probability
• Determine predicted values, experimental or theoretical probability
• Determine predicted values, theoretical probability, compound events
• Determine predicted values, experimental probability, compound events
• Mixed Probability
• Determine "or" probabilities
• Determine "or" probabilities, including "and" situations
• Condensed: Determine probabilities
• Condensed: Determine experimental & theoretical probabilities
• Conditional Probaility
• Determine conditional probabilities from two-way frequency tables
• Determine conditional probabilities, including two-way frequency tables
• Data Analysis
• Measures of Center & Spread
• Calculating Measures of Center & Spread
• Identify definition of mean, median, mode, or range
• Determine mean, median, mode, & range
• Determine mean, median, mode, or range
• Determine mean, median, mode, or range from various graphs
• Given various representations of data, identify mean, median, mode, & range
• Given mean, median, or range, determine missing or additional value in data set
• Given mean, median, mode, or range, determine missing value in data set
• Given additional value in data set, determine change in mean, median, mode, or range
• Condensed: Determine mean, median, mode, or range, including graphs
• Determine interquartile range of data
• Interpreting Measures of Center & Spread
• Identify & interpret measures of center
• Identify & interpret measures of variability
• Identify measures of center based on data distribution
• Identify measures of variability based on data distribution
• Determine or interpret shapes & features of graphs
• Determine or interpret measures of center & spread from graphs
• Given various representations of data, identify outlier
• Identify outliers in scatter plots
• Identify scatterplots with clustered data
• Stem-&-Leaf Plots
• Determine mean, median, mode, & range from stem-&-leaf plots
• Determine mean, median, mode, or range from stem-&-leaf plots
• Box Plots
• Determine five-number summary
• Given boxplot, determine values from five-number summary
• Determine characteristics of boxplots
• Solve problems involving interpretation of box plots
• 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