Arkansas

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Skills available for Arkansas high school math standards

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Arkansas Mathematics Standards (adopted in 2023): Advanced Topics & Modeling Arkansas Mathematics Standards (adopted in 2023): Advanced Topics & Modeling
Arkansas Mathematics Standards (adopted in 2023): Algebra I Arkansas Mathematics Standards (adopted in 2023): Algebra I
Arkansas Mathematics Standards (adopted in 2023): Algebra II Arkansas Mathematics Standards (adopted in 2023): Algebra II
Arkansas Mathematics Standards (adopted in 2023): Algebra III Arkansas Mathematics Standards (adopted in 2023): Algebra III
Arkansas Mathematics Standards (adopted in 2023): Calculus Arkansas Mathematics Standards (adopted in 2023): Calculus
Arkansas Mathematics Standards (adopted in 2023): Critical Algebra I Arkansas Mathematics Standards (adopted in 2023): Critical Algebra I
Arkansas Mathematics Standards (adopted in 2023): Geometry Arkansas Mathematics Standards (adopted in 2023): Geometry
Arkansas Mathematics Standards (adopted in 2023): Mathematical Practices Arkansas Mathematics Standards (adopted in 2023): Mathematical Practices
Arkansas Mathematics Standards (adopted in 2023): Pre-Calculus Arkansas Mathematics Standards (adopted in 2023): Pre-Calculus
Arkansas Mathematics Standards (adopted in 2023): Statistics Arkansas Mathematics Standards (adopted in 2023): Statistics
Arkansas Mathematics Standards (adopted in 2023): Technical Math Arkansas Mathematics Standards (adopted in 2023): Technical Math
Arkansas Curriculum Framework: Advanced Topics and Modeling in Mathematics Arkansas Curriculum Framework: Advanced Topics and Modeling in Mathematics
Arkansas Curriculum Framework: Algebra I Arkansas Curriculum Framework: Algebra I
Arkansas Curriculum Framework: Algebra I Part A Arkansas Curriculum Framework: Algebra I Part A
Arkansas Curriculum Framework: Algebra I Part B Arkansas Curriculum Framework: Algebra I Part B
Arkansas Curriculum Framework: Algebra II/Advanced Algebra Arkansas Curriculum Framework: Algebra II/Advanced Algebra
Arkansas Curriculum Framework: Algebra III Arkansas Curriculum Framework: Algebra III
Arkansas Curriculum Framework: Bridge to Algebra II Arkansas Curriculum Framework: Bridge to Algebra II
Arkansas Curriculum Framework: Calculus Arkansas Curriculum Framework: Calculus
Arkansas Curriculum Framework: Computer Science and Mathematics Arkansas Curriculum Framework: Computer Science and Mathematics
Arkansas Curriculum Framework: Geometry Arkansas Curriculum Framework: Geometry
Arkansas Curriculum Framework: Geometry A Arkansas Curriculum Framework: Geometry A
Arkansas Curriculum Framework: Geometry B Arkansas Curriculum Framework: Geometry B
Arkansas Curriculum Framework: Mathematical Applications and Algorithms Arkansas Curriculum Framework: Mathematical Applications and Algorithms
Arkansas Curriculum Framework: Precalculus Arkansas Curriculum Framework: Precalculus
Arkansas Curriculum Framework: Statistics Arkansas Curriculum Framework: Statistics

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QFE Quadratic Functions & Equations

Create & Solve: Students create and solve equations that model quadratic relationships.
- A1.QFE.1 Represent and solve real-world problems using quadratic expressions and equations in one variable.
  - Interpret parts of quadratic expressions: word problems (A1-Y.13)
  - Solve quadratic equations: word problems (A1-Z.7)
- A1.QFE.2 Write quadratic equations with real number solutions that model the relationship between two quantities and produce a graph of the equation.
- A1.QFE.3 Solve quadratic equations with real number solutions, containing one variable, including those with variables on both sides of the equal sign. Equations should be solved by: graphing, factoring (including perfect square trinomials and difference of squares binomials), using the quadratic formula, completing the square, or taking the square root.
- Checkpoint opportunity
  - Checkpoint: Solve quadratic equations (A1)
Interpret Key Features: Students interpret key features of equations that model quadratic relationships.
- A1.QFE.4 Determine the domain and range of quadratic functions in mathematical problems.
  - Domain and range of quadratic functions: graphs (A1-Y.9)
  - Domain and range of quadratic functions: equations (A1-Y.10)
- A1.QFE.5 Determine reasonable domain and range values of quadratic functions representing real-world situations, both continuous and discrete; interpret the solution as reasonable or unreasonable in context.
- A1.QFE.6 Interpret the key features of a quadratic function that models a relationship between two quantities in a given context.
  - Characteristics of quadratic functions: graphs (A1-Y.1)
  - Characteristics of quadratic functions: equations (A1-Y.2)
- A1.QFE.7 Flexibly use different representations of a quadratic function, including graphs, tables, and equations.
- A1.QFE.8 Explain how each form of a quadratic expression (standard, factored, and vertex form) identifies different key attributes, using the different forms to interpret quantities in context.
  - Interpret parts of quadratic expressions: word problems (A1-Y.13)
- A1.QFE.9 Use factoring and completing the square to create equivalent forms of quadratic functions to reveal key attributes.
Graphing & Transformations: Students graph quadratic functions and explore different transformations of f(x) = x².
- A1.QFE.10 Graph quadratic functions given as an equation or in function notation, labeling key attributes, without technology.
- A1.QFE.11 Graph and describe the effect of transformations on quadratic functions.
  - Transformations of quadratic functions (A1-Y.4)
- A1.QFE.12 Given the graph of a quadratic function, explain the effects of the transformation from the parent function, y = x².
- Checkpoint opportunity
  - Checkpoint: Write and interpret equivalent expressions (A1)
Statistical Relationships: Students explore quadratic statistical relationships.
- A1.QFE.13 Write quadratic functions that provide a reasonable fit to data and use them to make predictions with technology.

EFE Exponential Functions & Equations

Create & Solve: Students create and solve problems that model exponential relationships.
- A1.EFE.1 Represent and solve real-world problems, using exponential equations in one variable.
  - Write exponential functions: word problems (A1-V.8)
- A1.EFE.2 Represent real-world problems (growth, decay, and compound interest), using exponential equations.
  - Exponential growth and decay: word problems (A1-V.9)
  - Compound interest: word problems (A1-V.10)
- A1.EFE.3 Construct exponential equations from geometric sequences with and without context.
Interpret Key Features: Students interpret key features of equations that model exponential relationships.
- A1.EFE.4 Determine the domain and range of exponential functions in mathematical problems.
  - Domain and range of exponential functions: graphs (A1-V.5)
  - Domain and range of exponential functions: equations (A1-V.6)
- A1.EFE.5 Determine reasonable domain and range values of exponential functions representing real-world situations, both continuous and discrete; interpret the solution as reasonable or unreasonable in context.
- A1.EFE.6 Interpret the key features of an exponential function that models a relationship between two quantities in a given context.
  - Match exponential functions and graphs I (A1-V.3)
  - Match exponential functions and graphs II (A1-V.4)
- A1.EFE.7 Flexibly use different representations of an exponential function, including graphs, tables, and equations.
- A1.EFE.8 Interpret the quantities in an exponential equation in the context of a real-world problem, including growth, decay, and compound interest.
- Checkpoint opportunity
  - Checkpoint: Compare linear and exponential functions (A1-AA.13)
  - Checkpoint: Write linear, exponential, and quadratic functions (A1)
Graphing: Students graph exponential functions.
- A1.EFE.9 Graph exponential functions that model real-world problems (growth, decay, and compound interest), showing key attributes.
- Checkpoint opportunity
  - Checkpoint: Exponential functions (A1)
Statistical Relationships: Students explore exponential statistical relationships.
- A1.EFE.10 Write exponential functions that provide a reasonable fit to data and use them to make predictions with technology.

SP Statistics & Probability

Numerical Data: Students summarize and describe distributions.
- A1.SP.1 Use box plots and histograms to determine the statistics appropriate to the shape of the data distribution; compare the center and spread of two or more data sets.
- A1.SP.2 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points.
  - Box plots (A1-HH.9)
  - Identify an outlier and describe the effect of removing it (A1-II.5)
- Checkpoint opportunity
  - Checkpoint: Compare data sets (A1-II.8)
  - Checkpoint: Histograms and box plots (A1)
Bivariate Data: Students will investigate patterns of association in bivariate data.
- A1.SP.3 Summarize data from two categorical variables in a frequency table; interpret relative frequencies in the context of the data, recognizing data trends and associations.
  - Find probabilities using two-way frequency tables (A1-KK.3)
  - Find conditional probabilities using two-way frequency tables (A1-KK.4)
- Checkpoint opportunity
  - Checkpoint: Two-way frequency tables (A1-KK.11)

Arkansas

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EX Expressions

Polynomials, Roots, & Exponent Laws: Students simplify algebraic and numerical expressions.

A1.EX.1 Add, subtract, and multiply polynomials; compare the system of polynomials to the system of integers when performing operations.

A1.EX.2 Simplify and perform operations with radical expressions without variables; rationalizing denominators should not include conjugates.

A1.EX.3 Simplify algebraic expressions using the laws of exponents.

A1.EX.4 Interpret the parts of expressions such as terms, factors, and coefficients in terms of a real-world context.

Checkpoint opportunity

FN Functions

Domain & Range, Function Notation: Students understand the concept of a function, domain and range, and use function notation; students use function notation to solve problems.

A1.FN.1 Explain that a function assigns each element in the domain to exactly one element in the range.

A1.FN.2 Use function notation to represent functions, understanding that if f is a function and x is an element of its domain, then f(x) represents the output of f corresponding to the input x.

A1.FN.3 Graph functions given in function notation, understanding that the graph contains the points (x, f(x)).

A1.FN.4 Evaluate functions expressed in function notation for one or more elements in their domains (inputs); use function notation to describe a contextual situation.

Checkpoint opportunity

Construct & Compare: Students construct and compare linear, quadratic, and exponential models and solve problems.

A1.FN.5 Differentiate between real-world scenarios that can be modeled by exponential or linear functions by determining whether the relationship has a common difference or a common ratio.

A1.FN.6 Compare the growth pattern of exponential to linear or quadratic functions using graphs and tables and recognize how exponential growth exceeds other functions.

LFE Linear Functions, Equations, & Inequalities

Create & Solve: Students create and solve equations that model linear relationships.

A1.LFE.1 Represent and solve real-world problems, using linear expressions, equations, and inequalities in one variable.

A1.LFE.2 Construct linear functions from arithmetic sequences with and without context.

A1.LFE.3 Solve linear formulas for a specified variable.

A1.LFE.4 Solve linear equations, linear inequalities, and absolute value equations in one variable, including those with rational number coefficients, and variables on both sides of the equal or inequality sign; solve them fluently, explaining the process used.

Checkpoint opportunity

Interpret Key Features: Students interpret key features of equations that model linear relationships.

A1.LFE.5 Determine the domain and range of linear functions in mathematical problems.

A1.LFE.6 Determine reasonable domain and range values of linear functions representing real-world situations, both continuous and discrete; interpret the solution as reasonable or unreasonable in context.

A1.LFE.7 Interpret the key features of a linear and absolute value functions that models a relationship between two quantities in a given context.

A1.LFE.8 Flexibly use different representations of a linear function, including graphs, tables, and equations.

A1.LFE.9 Calculate and interpret the rate of change of a linear function represented in a table, graph, or as an equation in context of real-world and mathematical problems.

A1.LFE.10 Translate among equivalent forms of equations for linear functions, including standard, point-slope, and slope-intercept forms; recognize that each form reveals key features in a given context.

Systems of Equations & Inequalities: Students solve systems of equations and inequalities.

A1.LFE.11 Solve systems of linear equations by substitution, elimination, and graphing with and without a real-world context; understand that the solutions will be the same regardless of the method for solving.

A1.LFE.12 Solve a system of equations consisting of a linear equation and a quadratic equation in two variables graphically with the assistance of technology.

A1.LFE.13 Explain why a solution to the equation f(x) = g(x) is the x-coordinate where the y-coordinate of f(x) and g(x) are the same using graphs, tables, or approximations. Include cases where f(x) and/or g(x) are linear, quadratic, absolute value, and exponential.

A1.LFE.14 Solve linear inequalities and systems of linear inequalities in two variables by graphing.

Checkpoint opportunity

Graphing & Transformations: Students graph linear functions, equations, and inequalities.

A1.LFE.15 Write linear equations that model the relationship between two quantities and produce a graph of the equation.

A1.LFE.16 Graph linear functions expressed as an equation and show intercepts of the graph without technology.

A1.LFE.17 Graph absolute value functions expressed as an equation with and without technology, showing intercepts and end behavior.

A1.LFE.18 Graph and generalize the effect of transformations on linear and absolute value functions.

A1.LFE.19 Given the graph of a linear function, explain the effects of the transformation from the parent function, y = x.

Checkpoint opportunity

Statistical Relationships: Students explore linear statistical relationships.

A1.LFE.20 Write linear functions that provide a reasonable fit to data and use them to make predictions, with and without technology; interpret the slope and y-intercept in context.

A1.LFE.21 Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association.

A1.LFE.22 Compare and contrast correlation and causation in real-world problems.

Checkpoint opportunity

QFE Quadratic Functions & Equations

Create & Solve: Students create and solve equations that model quadratic relationships.

A1.QFE.1 Represent and solve real-world problems using quadratic expressions and equations in one variable.

A1.QFE.2 Write quadratic equations with real number solutions that model the relationship between two quantities and produce a graph of the equation.

Checkpoint opportunity

Interpret Key Features: Students interpret key features of equations that model quadratic relationships.

A1.QFE.4 Determine the domain and range of quadratic functions in mathematical problems.

A1.QFE.5 Determine reasonable domain and range values of quadratic functions representing real-world situations, both continuous and discrete; interpret the solution as reasonable or unreasonable in context.

A1.QFE.6 Interpret the key features of a quadratic function that models a relationship between two quantities in a given context.

A1.QFE.7 Flexibly use different representations of a quadratic function, including graphs, tables, and equations.

A1.QFE.8 Explain how each form of a quadratic expression (standard, factored, and vertex form) identifies different key attributes, using the different forms to interpret quantities in context.

A1.QFE.9 Use factoring and completing the square to create equivalent forms of quadratic functions to reveal key attributes.

Graphing & Transformations: Students graph quadratic functions and explore different transformations of f(x) = x2.

A1.QFE.10 Graph quadratic functions given as an equation or in function notation, labeling key attributes, without technology.

A1.QFE.11 Graph and describe the effect of transformations on quadratic functions.

A1.QFE.12 Given the graph of a quadratic function, explain the effects of the transformation from the parent function, y = x2.

Checkpoint opportunity

Statistical Relationships: Students explore quadratic statistical relationships.

A1.QFE.13 Write quadratic functions that provide a reasonable fit to data and use them to make predictions with technology.

EFE Exponential Functions & Equations

Create & Solve: Students create and solve problems that model exponential relationships.

A1.EFE.1 Represent and solve real-world problems, using exponential equations in one variable.

A1.EFE.2 Represent real-world problems (growth, decay, and compound interest), using exponential equations.

A1.EFE.3 Construct exponential equations from geometric sequences with and without context.

Interpret Key Features: Students interpret key features of equations that model exponential relationships.

A1.EFE.4 Determine the domain and range of exponential functions in mathematical problems.

A1.EFE.5 Determine reasonable domain and range values of exponential functions representing real-world situations, both continuous and discrete; interpret the solution as reasonable or unreasonable in context.

A1.EFE.6 Interpret the key features of an exponential function that models a relationship between two quantities in a given context.

Graphing & Transformations: Students graph quadratic functions and explore different transformations of f(x) = x².

A1.QFE.12 Given the graph of a quadratic function, explain the effects of the transformation from the parent function, y = x².