The Common Core in North Carolina

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Skills available for North Carolina 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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NC.8.NS The Number System

  • Know that there are numbers that are not rational, and approximate them by rational numbers.

    • NC.8.NS.1 Understand that every number has a decimal expansion. Building upon the definition of a rational number, know that an irrational number is defined as a non-repeating, non-terminating decimal.

    • NC.8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers and locate them approximately on a number line. Estimate the value of expressions involving:

      • NC.8.NS.2.a Square roots and cube roots to the tenths.

      • NC.8.NS.2.b π to the hundredths.

NC.8.EE Expressions and Equations

NC.8.F Functions

  • Define, evaluate, and compare functions.

  • Use functions to model relationships between quantities.

    • NC.8.F.4 Analyze functions that model linear relationships.

      • NC.8.F.4.a Understand that a linear relationship can be generalized by y = mx + b.

      • NC.8.F.4.b Write an equation in slope-intercept form to model a linear relationship by determining the rate of change and the initial value, given at least two (x, y) values or a graph.

      • NC.8.F.4.c Construct a graph of a linear relationship given an equation in slope-intercept form.

      • NC.8.F.4.d Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of the slope and y-intercept of its graph or a table of values.

    • NC.8.F.5 Qualitatively analyze the functional relationship between two quantities.

      • NC.8.F.5.a Analyze a graph determining where the function is increasing or decreasing; linear or non-linear.

      • NC.8.F.5.b Sketch a graph that exhibits the qualitative features of a real-world function.

NC.8.G Geometry

NC.8.SP Statistics and Probability

  • Investigate patterns of association in bivariate data.

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

    • NC.8.SP.2 Model the relationship between bivariate quantitative data to:

      • NC.8.SP.2.a Informally fit a straight line for a scatter plot that suggests a linear association.

      • NC.8.SP.2.b Informally assess the model fit by judging the closeness of the data points to the line.

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

    • NC.8.SP.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.

      • NC.8.SP.4.a Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects.

      • NC.8.SP.4.b Use relative frequencies calculated for rows or columns to describe possible association between the two variables.