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Subject Area - CC.2:
Mathematics
  • Standard Area - CC.2.2: Algebraic Concepts
  • Grade Level - CC.2.2.HS: GRADE High School
Standard - CC.2.2.HS.C.1

Use the concept and notation of functions to interpret and apply them in terms of their context.

  • Standard Area - CC.2.2: Algebraic Concepts
  • Assessment Anchor - A1.2.1:

    Functions

    • Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
    • Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
    • Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
    • Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
    • Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
    • Assessment Anchor - A1.2.2:

      Coordinate Geometry

  • Eligible Content - A1.2.2.1.1 Identify, describe and/or use constant rates of change.
  • Eligible Content - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
  • Eligible Content - A1.2.2.1.3

    Write or identify a linear equation when given

    • the graph of the line
    • 2 points on the line, or
    • the slope and a point on a line,

    (Linear equation may be in point-slope, standard and/or slope-intercept form).

  • Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
  • Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
  • Assessment Anchor - A2.2.1:

    Patterns, Relations, and Functions

  • Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
  • Eligible Content - A2.2.1.1.2

    Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).

  • Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
  • Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
  • Assessment Anchor - G.2.2:

    Measurements of Two-Dimensional Shapes and Figures

  • Eligible Content - G.2.2.1.1 Use properties of angles formed by intersecting lines to find the measures of missing angles.
  • Eligible Content - G.2.2.1.2 Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles.
  • Eligible Content - G.2.2.2.1 Estimate area, perimeter or circumference of an irregular figure.
  • Eligible Content - G.2.2.2.2 Find the measurement of a missing length given the perimeter, circumference, or area.
  • Eligible Content - G.2.2.2.3 Find the side lengths of a polygon with a given perimeter to maximize the area of the polygon.
  • Eligible Content - G.2.2.2.4 Develop and/or use strategies to estimate the area of a compound/composite figure.
  • Eligible Content - G.2.2.2.5 Find the area of a sector of a circle.
  • Eligible Content - G.2.2.3.1 Describe how a change in the linear dimension of a figure affects its perimeter, circumference, and area. (e.g., How does changing the length of the radius of a circle affect the circumference of the circle?).
  • Eligible Content - G.2.2.4.1 Use area models to find probabilities.
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.2.1:

      Functions

  • Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
  • Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
  • Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
  • Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
  • Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
  • Assessment Anchor - A1.2.2:

    Coordinate Geometry

  • Eligible Content - A1.2.2.1.1 Identify, describe and/or use constant rates of change.
  • Eligible Content - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
  • Eligible Content - A1.2.2.1.3

    Write or identify a linear equation when given

    • the graph of the line
    • 2 points on the line, or
    • the slope and a point on a line,

    (Linear equation may be in point-slope, standard and/or slope-intercept form).

  • Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
  • Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
  • Assessment Anchor - A2.2.1:

    Patterns, Relations, and Functions

  • Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
  • Eligible Content - A2.2.1.1.2

    Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).

  • Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
  • Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.2:

      Linear Equations

  • Eligible Content - A1.1.2.1.1 Write, solve and/or apply a linear equation (including problem situations).
  • Eligible Content - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).
  • Eligible Content - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation (linear equations only).
  • Eligible Content - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).
  • Eligible Content - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).
  • Assessment Anchor - A1.2.1:

    Functions

  • Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
  • Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
  • Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
  • Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
  • Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
  • Assessment Anchor - A1.2.2:

    Coordinate Geometry

  • Eligible Content - A1.2.2.1.1 Identify, describe and/or use constant rates of change.
  • Eligible Content - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
  • Eligible Content - A1.2.2.1.3

    Write or identify a linear equation when given

    • the graph of the line
    • 2 points on the line, or
    • the slope and a point on a line,

    (Linear equation may be in point-slope, standard and/or slope-intercept form).

  • Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
  • Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
  • Assessment Anchor - A2.2.1:

    Patterns, Relations, and Functions

  • Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
  • Eligible Content - A2.2.1.1.2

    Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).

  • Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
  • Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
  • Assessment Anchor - A2.2.2:

    Applications of Functions

  • Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
  • Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
  • Eligible Content - A2.2.2.1.3

    Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.

  • Eligible Content - A2.2.2.1.4

    Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).

  • Eligible Content - A2.2.2.2.1

    Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).

  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.2.1:

      Functions

  • Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
  • Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
  • Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
  • Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
  • Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
  • Assessment Anchor - A2.2.2:

    Applications of Functions

  • Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
  • Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
  • Eligible Content - A2.2.2.1.3

    Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.

  • Eligible Content - A2.2.2.1.4

    Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).

  • Eligible Content - A2.2.2.2.1

    Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).

  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.2.2:

      Coordinate Geometry

  • Eligible Content - A1.2.2.1.1 Identify, describe and/or use constant rates of change.
  • Eligible Content - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
  • Eligible Content - A1.2.2.1.3

    Write or identify a linear equation when given

    • the graph of the line
    • 2 points on the line, or
    • the slope and a point on a line,

    (Linear equation may be in point-slope, standard and/or slope-intercept form).

  • Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
  • Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
  • Assessment Anchor - A2.2.1:

    Patterns, Relations, and Functions

  • Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
  • Eligible Content - A2.2.1.1.2

    Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).

  • Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
  • Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
  • Assessment Anchor - A2.2.2:

    Applications of Functions

  • Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
  • Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
  • Eligible Content - A2.2.2.1.3

    Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.

  • Eligible Content - A2.2.2.1.4

    Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).

  • Eligible Content - A2.2.2.2.1

    Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).

  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.2.1:

      Functions

  • Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
  • Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
  • Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
  • Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
  • Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
  • Assessment Anchor - A1.2.2:

    Coordinate Geometry

  • Eligible Content - A1.2.2.1.1 Identify, describe and/or use constant rates of change.
  • Eligible Content - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
  • Eligible Content - A1.2.2.1.3

    Write or identify a linear equation when given

    • the graph of the line
    • 2 points on the line, or
    • the slope and a point on a line,

    (Linear equation may be in point-slope, standard and/or slope-intercept form).

  • Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
  • Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
  • Assessment Anchor - A2.2.1:

    Patterns, Relations, and Functions

  • Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
  • Eligible Content - A2.2.1.1.2

    Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).

  • Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
  • Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
  • Assessment Anchor - A2.2.2:

    Applications of Functions

  • Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
  • Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
  • Eligible Content - A2.2.2.1.3

    Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.

  • Eligible Content - A2.2.2.1.4

    Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).

  • Eligible Content - A2.2.2.2.1

    Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).

  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - G.1.3:

      Congruence, Similarity, and Proofs

  • Eligible Content - G.1.3.1.1 Identify and/or use properties of congruent and similar polygons or solids.
  • Eligible Content - G.1.3.1.2 Identify and/or use proportional relationships in similar figures.
  • Eligible Content - G.1.3.2.1 Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).
  • Assessment Anchor - G.2.1:

    Coordinate Geometry and Right Triangles

  • Eligible Content - G.2.1.1.1 Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles.
  • Eligible Content - G.2.1.1.2 Use trigonometric ratios to write and/or solve problems involving right triangles.
  • Eligible Content - G.2.1.2.1 Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane.
  • Eligible Content - G.2.1.2.2 Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).
  • Eligible Content - G.2.1.2.3 Use slope, distance and/or midpoint between 2 points on a coordinate plane to establish properties of a 2-dimensional shape.
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.1:

      Operations with Real Numbers and Expressions

  • Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
  • Eligible Content - A1.1.1.1.2

    Simplify square roots (e.g., √24 = 2√6).

  • Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
  • Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
  • Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
  • Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
  • Eligible Content - A1.1.1.5.2

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors).

  • Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
  • Assessment Anchor - A2.1.2:

    Non-Linear Expressions

  • Eligible Content - A2.1.2.1.1 Use exponential expressions to represent rational numbers.
  • Eligible Content - A2.1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers - exponents should not exceed power of 10).
  • Eligible Content - A2.1.2.1.3

    Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (limit to rational exponents).

  • Eligible Content - A2.1.2.1.4

    Simplify or evaluate expressions involving logarithms and exponents (e.g. log28 = 3 or log42 = ½).

  • Eligible Content - A2.1.2.2.1

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).

  • Eligible Content - A2.1.2.2.2 Simplify rational algebraic expressions.
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.1:

      Operations with Real Numbers and Expressions

  • Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
  • Eligible Content - A1.1.1.1.2

    Simplify square roots (e.g., √24 = 2√6).

  • Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
  • Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
  • Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
  • Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
  • Eligible Content - A1.1.1.5.2

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors).

  • Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
  • Assessment Anchor - A2.1.2:

    Non-Linear Expressions

  • Eligible Content - A2.1.2.1.1 Use exponential expressions to represent rational numbers.
  • Eligible Content - A2.1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers - exponents should not exceed power of 10).
  • Eligible Content - A2.1.2.1.3

    Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (limit to rational exponents).

  • Eligible Content - A2.1.2.1.4

    Simplify or evaluate expressions involving logarithms and exponents (e.g. log28 = 3 or log42 = ½).

  • Eligible Content - A2.1.2.2.1

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).

  • Eligible Content - A2.1.2.2.2 Simplify rational algebraic expressions.
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.1:

      Operations with Real Numbers and Expressions

  • Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
  • Eligible Content - A1.1.1.1.2

    Simplify square roots (e.g., √24 = 2√6).

  • Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
  • Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
  • Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
  • Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
  • Eligible Content - A1.1.1.5.2

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors).

  • Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
  • Assessment Anchor - A2.1.2:

    Non-Linear Expressions

  • Eligible Content - A2.1.2.1.1 Use exponential expressions to represent rational numbers.
  • Eligible Content - A2.1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers - exponents should not exceed power of 10).
  • Eligible Content - A2.1.2.1.3

    Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (limit to rational exponents).

  • Eligible Content - A2.1.2.1.4

    Simplify or evaluate expressions involving logarithms and exponents (e.g. log28 = 3 or log42 = ½).

  • Eligible Content - A2.1.2.2.1

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).

  • Eligible Content - A2.1.2.2.2 Simplify rational algebraic expressions.
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A2.1.2:

      Non-Linear Expressions

  • Eligible Content - A2.1.2.1.1 Use exponential expressions to represent rational numbers.
  • Eligible Content - A2.1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers - exponents should not exceed power of 10).
  • Eligible Content - A2.1.2.1.3

    Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (limit to rational exponents).

  • Eligible Content - A2.1.2.1.4

    Simplify or evaluate expressions involving logarithms and exponents (e.g. log28 = 3 or log42 = ½).

  • Eligible Content - A2.1.2.2.1

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).

  • Eligible Content - A2.1.2.2.2 Simplify rational algebraic expressions.
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.1:

      Operations with Real Numbers and Expressions

  • Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
  • Eligible Content - A1.1.1.1.2

    Simplify square roots (e.g., √24 = 2√6).

  • Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
  • Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
  • Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
  • Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
  • Eligible Content - A1.1.1.5.2

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors).

  • Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
  • Assessment Anchor - A2.1.2:

    Non-Linear Expressions

  • Eligible Content - A2.1.2.1.1 Use exponential expressions to represent rational numbers.
  • Eligible Content - A2.1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers - exponents should not exceed power of 10).
  • Eligible Content - A2.1.2.1.3

    Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (limit to rational exponents).

  • Eligible Content - A2.1.2.1.4

    Simplify or evaluate expressions involving logarithms and exponents (e.g. log28 = 3 or log42 = ½).

  • Eligible Content - A2.1.2.2.1

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).

  • Eligible Content - A2.1.2.2.2 Simplify rational algebraic expressions.
  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.1:

      Operations with Real Numbers and Expressions

  • Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
  • Eligible Content - A1.1.1.1.2

    Simplify square roots (e.g., √24 = 2√6).

  • Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
  • Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
  • Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
  • Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
  • Eligible Content - A1.1.1.5.2

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors).

  • Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.2:

      Linear Equations

  • Eligible Content - A1.1.2.1.1 Write, solve and/or apply a linear equation (including problem situations).
  • Eligible Content - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).
  • Eligible Content - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation (linear equations only).
  • Eligible Content - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).
  • Eligible Content - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).
  • Assessment Anchor - A1.1.3:

    Linear Inequalities

  • Eligible Content - A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
  • Eligible Content - A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
  • Eligible Content - A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation (limit to linear inequalities).
  • Eligible Content - A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing (limit systems to 2 linear inequalities).
  • Eligible Content - A1.1.3.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear inequalities only).
  • Assessment Anchor - A2.2.2:

    Applications of Functions

  • Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
  • Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
  • Eligible Content - A2.2.2.1.3

    Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.

  • Eligible Content - A2.2.2.1.4

    Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).

  • Eligible Content - A2.2.2.2.1

    Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).

  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.2:

      Linear Equations

  • Eligible Content - A1.1.2.1.1 Write, solve and/or apply a linear equation (including problem situations).
  • Eligible Content - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).
  • Eligible Content - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation (linear equations only).
  • Eligible Content - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).
  • Eligible Content - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).
  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.1:

      Operations with Real Numbers and Expressions

  • Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
  • Eligible Content - A1.1.1.1.2

    Simplify square roots (e.g., √24 = 2√6).

  • Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
  • Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
  • Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
  • Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
  • Eligible Content - A1.1.1.5.2

    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors).

  • Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
  • Assessment Anchor - A1.1.2:

    Linear Equations

  • Eligible Content - A1.1.2.1.1 Write, solve and/or apply a linear equation (including problem situations).
  • Eligible Content - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).
  • Eligible Content - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation (linear equations only).
  • Eligible Content - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).
  • Eligible Content - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).
  • Assessment Anchor - A1.1.3:

    Linear Inequalities

  • Eligible Content - A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
  • Eligible Content - A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
  • Eligible Content - A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation (limit to linear inequalities).
  • Eligible Content - A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing (limit systems to 2 linear inequalities).
  • Eligible Content - A1.1.3.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear inequalities only).
  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
    • Standard Area - CC.2.2: Algebraic Concepts
    • Assessment Anchor - A1.1.2:

      Linear Equations

  • Eligible Content - A1.1.2.1.1 Write, solve and/or apply a linear equation (including problem situations).
  • Eligible Content - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).
  • Eligible Content - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation (linear equations only).
  • Eligible Content - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).
  • Eligible Content - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).
  • Assessment Anchor - A1.1.3:

    Linear Inequalities

  • Eligible Content - A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
  • Eligible Content - A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
  • Eligible Content - A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation (limit to linear inequalities).
  • Eligible Content - A1.1.3.2.1 Write and/or solve a system of linear inequalities using graphing (limit systems to 2 linear inequalities).
  • Eligible Content - A1.1.3.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear inequalities only).
  • Assessment Anchor - A2.1.3:

    Non-Linear Equations

  • Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
  • Eligible Content - A2.1.3.1.2

    Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).

  • Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
  • Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
  • Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
  • Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
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