Arkansas

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Skills available for Arkansas high school math standards

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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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HSS Statistics and Probability

HSS.ID Interpreting Categorical and Quantitative Data
- HSS.ID.21 Summarize, represent, and interpret data on a single count or measurement variable
  - HSS.ID.A.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).
  - HSS.ID.A.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
  - HSS.ID.A.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
    - Box plots (A1-N.9)
    - Identify an outlier and describe the effect of removing it (A1-MM.5)
  - Checkpoint opportunity
    - Checkpoint: Line plots, histograms, and box plots (A1-N.10)
    - Checkpoint: Compare data sets (A1-MM.17)
- HSS.ID.22 Summarize, represent, and interpret data on two categorical and quantitative variables
  - HSS.ID.B.5 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
    - Find probabilities using two-way frequency tables (A1-LL.3)
    - Find conditional probabilities using two-way frequency tables (A1-LL.4)
  - HSS.ID.B.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.
  - Checkpoint opportunity
    - Checkpoint: Two-way frequency tables (A1-LL.11)
- HSS.ID.23 Interpret linear models
  - HSS.ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
    - Interpret regression lines (A1-MM.14)
    - Analyze a regression line of a data set (A1-MM.15)
  - HSS.ID.C.8 Compute (using technology) and interpret the correlation coefficient of a linear fit.
    - Match correlation coefficients to scatter plots (A1-MM.10)
    - Calculate correlation coefficients (A1-MM.11)
  - HSS.ID.C.9 Distinguish between correlation and causation.
    - Correlation and causation (A1-MM.16)
  - Checkpoint opportunity

Arkansas

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HSN Number and Quantity

HSN.RN The Real Number System

HSN.RN.1 Use properties of rational and irrational numbers

HSN.RN.B.4 Simplify radical expressions. Perform operations (add, subtract, multiply, and divide) with radical expressions. Rationalize denominators and/or numerators.

Checkpoint opportunity

HSN.Q Quantities

HSN.Q.2 Reason quantitatively and use units to solve problems

HSN.Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step problems. Choose and interpret units consistently in formulas. Choose and interpret the scale and the origin in graphs and data displays.

HSN.Q.A.2 Define appropriate quantities for the purpose of descriptive modeling. (I.E., Use units appropriate to the problem being solved.)

HSN.Q.A.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Checkpoint opportunity

HSA Algebra

HSA.SSE Seeing Structure in Expressions

HSA.SSE.3 Interpret the structure of expressions

HSA.SSE.A.1 Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression using appropriate vocabulary, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity.

HSA.SSE.A.2 Use the structure of an expression to identify ways to rewrite it.

HSA.SSE.4 Write expressions in equivalent forms to solve problems

Checkpoint opportunity

HSA.APR Arithmetic with Polynomials and Rational Expressions

HSA.APR.5 Perform arithmetic operations on polynomials

HSA.APR.A.1 Add, subtract, and multiply polynomials. Understand that polynomials, like the integers, are closed under addition, subtraction, and multiplication.

Checkpoint opportunity

HSA.APR.6 Understand the relationship between zeros and factors of polynomials

HSA.APR.B.3 Identify zeros of polynomials (linear, quadratic only) when suitable factorizations are available. Use the zeros to construct a rough graph of the function defined by the polynomial.

HSA.APR.7 Use polynomial identities to solve problems

HSA.APR.C.4 Prove polynomial identities and use them to describe numerical relationships.

HSA.APR.8 Rewrite rational expressions

HSA.APR.D.7 Add, subtract, multiply, and divide by nonzero rational expressions. Understand that rational expressions, like the integers, are closed under addition, subtraction, and multiplication.

HSA.CED Creating Equations

HSA.CED.9 Create equations that describe numbers or relationships

HSA.CED.A.1 Create equations and inequalities in one variable and use them to solve problems.

HSA.CED.A.2 Create equations in two or more variables to represent relationships between quantities. Graph equations, in two variables, on a coordinate plane.

HSA.CED.A.3 Represent and interpret constraints by equations or inequalities, and by systems of equations and/or inequalities. Interpret solutions as viable or nonviable options in a modeling and/or real-world context.

HSA.CED.A.4 Rearrange literal equations using the properties of equality.

Checkpoint opportunity

HSA.REI Reasoning with Equations and Inequalities

HSA.REI.10 Understand solving equations as a process of reasoning and explain the reasoning

HSA.REI.A.1 Assuming that equations have a solution, construct a solution and justify the reasoning used.

HSA.REI.A.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

HSA.REI.11 Solve equations and inequalities in one variable

HSA.REI.B.3 Solve linear equations, inequalities and absolute value equations in one variable, including equations with coefficients represented by letters.

Checkpoint opportunity

HSA.REI.12 Solve systems of equations and inequalities graphically

HSA.REI.C.5 Solve systems of equations in two variables using substitution and elimination. Understand that the solution to a system of equations will be the same when using substitution and elimination.

HSA.REI.C.6 Solve systems of equations algebraically and graphically.

HSA.REI.C.7 Solve systems of equations consisting of linear equations and nonlinear equations in two variables algebraically and graphically.

HSA.REI.13 Solve systems of equations

HSA.REI.D.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.

HSA.REI.D.12 Solve linear inequalities and systems of linear inequalities in two variables by graphing.

Checkpoint opportunity

HSF Functions

HSF.IF Interpreting Functions

HSF.IF.14 Understand the concept of a function and use function notation

HSF.IF.A.2 In terms of a real-world context: use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation.

HSF.IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

HSF.IF.15 Interpret functions that arise in applications in terms of the context

HSF.IF.B.4 For a function that models a relationship between two quantities: interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

HSF.IF.B.5 Relate the domain of a function to its graph. Relate the domain of a function to the quantitative relationship it describes.

HSF.IF.B.6 Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.

Checkpoint opportunity

HSF.IF.16 Analyze functions using different representations

HSF.IF.C.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Checkpoint opportunity

HSF.BF Building Functions

HSF.BF.17 Build a function that models a relationship between two quantities

HSF.BF.A.1 Write a function that describes a relationship between two quantities. From a context, determine an explicit expression, a recursive process, or steps for calculation.

HSF.BF.18 Build new functions from existing functions

Checkpoint opportunity

HSF.LE Linear, Quadratic, and Exponential Models

HSF.LE.19 Construct and compare linear, quadratic, and exponential models and solve problems

HSF.LE.A.2 Construct linear and exponential equations, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

HSF.LE.A.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or any polynomial function.

HSF.LE.20 Interpret expressions for functions in terms of the situation they model

HSF.LE.B.5 In terms of a context, interpret the parameters (rates of growth or decay, domain and range restrictions where applicable, etc.) in a function.

Checkpoint opportunity

HSS Statistics and Probability

HSS.ID Interpreting Categorical and Quantitative Data