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Skills available for Kansas 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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Kansas College and Career Ready Standards: Algebra 1 Kansas College and Career Ready Standards: Algebra 1
Kansas College and Career Ready Standards: Algebra 2 Kansas College and Career Ready Standards: Algebra 2
Kansas College and Career Ready Standards: Fourth Courses Kansas College and Career Ready Standards: Fourth Courses
Kansas College and Career Ready Standards: Geometry Kansas College and Career Ready Standards: Geometry

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S Statistics and Probability

S.ID Interpreting Categorical and Quantitative Data
- Summarize, represent, and interpret data on a single count or measurement variable.
  - S.ID.1 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.
  - S.ID.2 Interpret differences in shape, center, and spread in the context of the data sets using dot plots, histograms, and box plots, 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: Compare data sets (A1-MM.17)
- Summarize, represent, and interpret data on two categorical and quantitative variables.
  - S.ID.4 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)
  - S.ID.5 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
    - S.ID.5a Use a given linear function to solve problems in the context of data.
      - Interpret regression lines (A1-MM.14)
    - S.ID.5b Fit a linear function to data and use it to solve problems in the context of the data.
  - Checkpoint opportunity
    - Checkpoint: Two-way frequency tables (A1-LL.11)
- Interpret linear models.
  - S.ID.6 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)
  - Checkpoint opportunity
    - Checkpoint: Linear modeling (A1-MM.18)

Kansas

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N Number and Quantity

N.RN The Real Number System

Use properties of rational numbers and irrational numbers.

N.RN.1 Know and apply the properties of integer exponents to generate equivalent numerical and algebraic expressions.

N.Q Quantities

Reason quantitatively and use units to solve problems.

N.Q.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.

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

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

Checkpoint opportunity

A Algebra

A.SSE Seeing Structure in Expressions

Interpret the structure of expressions.

A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)n as the product of P and (1 + r)n.

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

Write expressions in equivalent forms to solve problems.

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

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

Checkpoint opportunity

A.APR Arithmetic with Polynomials and Rational Expressions

Perform arithmetic operations on polynomials.

A.APR.1 Add, subtract, and multiply polynomials.

Checkpoint opportunity

Use polynomial identities to solve problems.

A.APR.4 Generate polynomial identities from a pattern.

A.CED Creating Equations

Create equations that describe numbers or relationships.

A.CED.1 Apply and extend previous understanding to create equations and inequalities in one variable and use them to solve problems.

A.CED.2 Apply and extend previous understanding to create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

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

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

Checkpoint opportunity

A.REI Reasoning with Equations and Inequalities

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

A.REI.1 Explain each step in solving a simple equation 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.

Solve equations and inequalities in one variable.

A.REI.2 Apply and extend previous understanding to solve equations, inequalities, and compound inequalities in one variable, including literal equations and inequalities.

A.REI.3 Solve equations in one variable and give examples showing how extraneous solutions may arise.

A.REI.3a Solve rational, absolute value and square root equations.

A.REI.5 Solve quadratic equations and inequalities.

A.REI.5a Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives no real solutions.

Checkpoint opportunity

Solve systems of equations.

A.REI.6 Analyze and solve pairs of simultaneous linear equations.

A.REI.6a Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

A.REI.6b Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

A.REI.6c Solve real-world and mathematical problems leading to two linear equations in two variables.

Represent and solve equations and inequalities graphically.

A.REI.8 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).

A.REI.9 Solve an equation f(x) = g(x) by graphing y = f(x) and y = g(x) and finding the x-value of the intersection point. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

A.REI.10 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Checkpoint opportunity

F Functions

F.IF Interpreting Functions

Understand the concept of a function and use function notation.

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

F.IF.3 Recognize patterns in order to write functions whose domain is a subset of the integers.

Interpret functions that arise in applications in terms of the context.

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

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

Checkpoint opportunity

Analyze functions using different representations.

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

F.IF.7a Graph linear, quadratic and absolute value functions and show intercepts, maxima, minima and end behavior.

F.IF.8 Write a function in different but equivalent forms to reveal and explain different properties of the function.

F.IF.8a Use different forms of linear functions, such as slope-intercept, standard, and point-slope form to show rate of change and intercepts.

F.IF.9 Compare properties of two functions using a variety of representations (algebraically, graphically, numerically in tables, or by verbal descriptions).

Checkpoint opportunity

F.BF Building Functions

Build a function that models a relationship between two quantities.

F.BF.1 Use functions to model real-world relationships.

F.BF.1a Combine multiple functions to model complex relationships.

Build new functions from existing functions.

Checkpoint opportunity

S Statistics and Probability

A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)ⁿ as the product of P and (1 + r)ⁿ.