The Common Core in Arizona

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Skills available for Arizona eighth-grade 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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8.NS The Number System

  • 8.NS.A Understand that there are irrational numbers, and approximate them using rational numbers.

    • 8.NS.A.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion. Know that numbers whose decimal expansions do not terminate in zeros or in a repeating sequence of fixed digits are called irrational.

    • 8.NS.A.2 Use rational approximations of irrational numbers to compare the size of irrational numbers. Locate them approximately on a number line diagram, and estimate their values.

    • 8.NS.A.3 Understand that given any two distinct rational numbers, a < b, there exist a rational number c and an irrational number d such that a < c < b and a < d < b. Given any two distinct irrational numbers, a < b, there exist a rational number c and an irrational number d such that a < c < b and a < d < b.

8.EE Expressions and Equations

8.F Functions

8.G Geometry

8.SP Statistics and Probability

  • 8.SP.A Investigate patterns of association in bivariate data.

    • 8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data to investigate and describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

    • 8.SP.A.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

    • 8.SP.A.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

    • 8.SP.A.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

  • 8.SP.B Investigate chance processes and develop, use, and evaluate probability models.

    • 8.SP.B.5 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

      • 8.SP.B.5.a Understand that the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

      • 8.SP.B.5.b Represent sample spaces for compound events using organized lists, tables, tree diagrams and other methods. Identify the outcomes in the sample space which compose the event.

      • 8.SP.B.5.c Design and use a simulation to generate frequencies for compound events.