The Common Core in Iowa

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Skills available for Iowa high school math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

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Iowa Academic Standards for Mathematics (adopted in 2024): Algebra I Iowa Academic Standards for Mathematics (adopted in 2024): Algebra I
Iowa Academic Standards for Mathematics (adopted in 2024): Algebra II Iowa Academic Standards for Mathematics (adopted in 2024): Algebra II
Iowa Academic Standards for Mathematics (adopted in 2024): Calculus Iowa Academic Standards for Mathematics (adopted in 2024): Calculus
Iowa Academic Standards for Mathematics (adopted in 2024): Geometry Iowa Academic Standards for Mathematics (adopted in 2024): Geometry
Iowa Academic Standards for Mathematics (adopted in 2024): Mathematical Practices Iowa Academic Standards for Mathematics (adopted in 2024): Mathematical Practices
Iowa Academic Standards for Mathematics (adopted in 2024): Precalculus Iowa Academic Standards for Mathematics (adopted in 2024): Precalculus
Iowa Academic Standards for Mathematics (adopted in 2024): Statistics and Probability Iowa Academic Standards for Mathematics (adopted in 2024): Statistics and Probability
Iowa Core: Algebra 1 Iowa Core: Algebra 1
Iowa Core: Algebra 2 Iowa Core: Algebra 2
Iowa Core: Geometry Iowa Core: Geometry
Iowa Core: Mathematics 1 Iowa Core: Mathematics 1
Iowa Core: Mathematics 2 Iowa Core: Mathematics 2
Iowa Core: Mathematics 3 Iowa Core: Mathematics 3
Iowa Core: Precalculus Iowa Core: Precalculus

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A1.S Statistics and Probability

A1.S-ID Interpreting Categorical and Quantitative Data
- A1.S-ID.A Summarize, represent, and interpret data on a single count or measurement variable.
  - A1.S-ID.A.1 Represent data with plots on the real number line (dot plots, histograms, and box plots) in a modeling context.
  - A1.S-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.
  - A1.S-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-HH.9)
    - Identify an outlier and describe the effect of removing it (A1-II.5)
- Checkpoint opportunity
  - Checkpoint: Line plots, histograms, and box plots (A1-HH.12)
  - Checkpoint: Compare data sets (A1-II.8)
- A1.S-ID.B Summarize, represent, and interpret data on two categorical and quantitative variables.
  - A1.S-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-KK.3)
    - Find conditional probabilities using two-way frequency tables (A1-KK.4)
  - A1.S-ID.B.6 Represent data on two quantitative variables on a scatter plot and describe how the variables are related.
    - A1.S-ID.B.6.a Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
    - A1.S-ID.B.6.b Informally assess the fit of a function by plotting and analyzing residuals.
      - Interpret a scatter plot (A1-JJ.1)
    - A1.S-ID.B.6.c Informally assess the fit of a function by plotting and analyzing residuals.
      - Write equations for lines of best fit (A1-JJ.5)
- Checkpoint opportunity
  - Checkpoint: Two-way frequency tables (A1-KK.11)
- A1.S-ID.C Interpret linear models.
  - A1.S-ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
  - A1.S-ID.C.8 Compute (using technology) and interpret the correlation coefficient of a linear fit.
    - Match correlation coefficients to scatter plots (A1-JJ.3)
    - Calculate correlation coefficients (A1-JJ.4)
  - A1.S-ID.C.9 Distinguish between correlation and causation.
    - Correlation and causation (A1-JJ.11)
- Checkpoint opportunity
  - Checkpoint: Linear modeling (A1-JJ.12)

The Common Core in Iowa

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A1.N Number and Quantity

A1.N-RN The Real Number System

A1.N-RN.B Use properties of rational and irrational numbers.

A1.N-RN.B.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

A1.N-Q Quantities

A1.N-Q.A Reason quantitatively and use units to solve problems.

A1.N-Q.A.1 Use units 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.

A1.N-Q.A.2 Define appropriate quantities for the purpose of descriptive modeling.

A1.N-Q.A.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Checkpoint opportunity

A1.A Algebra

A1.A-SSE Seeing Structure in Expressions and Equations

A-SSE.A Interpret the structure of expressions.

A1.A-SSE.A.1.a Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients.

A1.A-SSE.A.2 Use the structure of an expression to identify ways to rewrite it.

A-SSE.B Write expressions and equations in equivalent forms to solve problems.

A1.A-SSE.B.3 Choose and produce an equivalent form of an expression or equation to reveal and explain properties of the quantity represented by the expression.

A1.A-SSE.B.3.a Factor a quadratic expression to reveal the zeros of the function it defines.

A1.A-SSE.B.3.b Complete the square in a quadratic equation to reveal the maximum or minimum value of the function it defines.

A1.A-SSE.B.3.c Use the properties of exponents to transform expressions for exponential functions.

Checkpoint opportunity

A1.A-CED Creating Equation

A1.A-CED.A Create equations that describe numbers or relationships.

A1.A-CED.A.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

A1.A-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A1.A-CED.A.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

A1.A-CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Checkpoint opportunity

A1.A-REI Reasoning with Equations and Inequalities

A1.A-REI.A Understand solving equations as a process of reasoning and explain the reasoning.

A1.A-REI.A.1 Explain each step-in solving equations as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A1.A-REI.A.2 Solve rational and radical equations in one variable and give examples showing how extraneous solutions may arise.

A1.A-REI.B Solve equations and inequalities in one variable.

A1.A-REI.B.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A1.A-REI.B.4 Solve quadratic equations in one variable.

A1.A-REI.B.4.a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions.

A1.A-REI.B.4.b Solve quadratic equations with real solutions using any method.

Checkpoint opportunity

A-REI.C Solve systems of equations.

A1.A-REI.C.5 Explain how the strategy of elimination results in finding solution(s) to a system of equations.

A1.A-REI.C.6 Solve systems of linear equations exactly and approximately.

A1.A-REI.C.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

A1.A-REI.D Represent and solve equations and inequalities graphically.

A1.A-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, often forming a curve (which could be a line).

Checkpoint opportunity

A1.F Functions

A1.F-IF Interpreting Functions

A1.F-IF.A Understand the concept of a function and use function notation.

A1.F-IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

A1.F-IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

A1.F-IF.B Interpret functions that arise in applications in terms of the context.

A1.F-IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

A1.F-IF.B.6 Calculate and interpret the average rate of change of a nonlinear function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

Checkpoint opportunity

A1.F-IF.C Analyze functions using different representations.

A1.F-IF.C.7 Graph functions expressed symbolically and show key features of the graph by hand in simple cases and using technology for more complicated cases.

A1.F-IF.C.7.a Graph linear and quadratic functions expressed symbolically and show key features of the graph by hand in simple cases and using technology for more complicated cases, including intercepts, maxima, and minima if they exist.

A1.F-IF.C.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

Checkpoint opportunity

A1.F-BF Building Functions

A1.F-BF.A Build a function that models a relationship between two quantities.

A1.F-BF.A.1.a Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from a context.

A1.F-BF.A.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. Interpret arithmetic sequences as linear functions and geometric sequences as exponential functions.

Checkpoint opportunity

A1.F-BF.B Build new functions from existing functions.

Checkpoint opportunity

A1.F-LE Linear, Quadratic, and Exponential Models

A1.F-LE.A Construct and compare linear, quadratic, and exponential models and solve problems.

A1.F-LE.A.1 Distinguish between situations that can be modeled with linear functions and with exponential functions.

A1.F-LE.A.1.a Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

A1.F-LE.A.1.b Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

A1.F-LE.A.1.c Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

A1.F-LE.A.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

A1.F-LE.A.3 Use graphs and tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

A1.F-LE.B Interpret expressions for functions in terms of the situation they model.

A1.F-LE.B.5 Interpret the parameters in a linear or exponential function in terms of a context.

Checkpoint opportunity

A1.A-REI.B.4.a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions.