8th Grade Math Standards

8th Grade Math Standards 

• 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.

• NC.8.EE.1 Develop and apply the properties of integer exponents to generate equivalent numerical expressions.

• NC.8.EE.2 Use square root and cube root symbols.

• NC.8.EE.3 Use numbers expressed in scientific notation to estimate very large or very small quantities and to express how many times as much one is than the other.

• NC.8.EE.4 Perform multiplication and division with numbers expressed in scientific notation to solve real-world problems, including problems where both decimal and scientific notation are used.

• NC.8.EE.7 Solve real-world and mathematical problems by writing and solving equations and inequalities in one variable.

• NC.8.EE.8 Analyze and solve a system of two linear equations in two variables in slope-intercept form.

• NC.8.F.1 Understand that a function is a rule that assigns to each input exactly one output.

• NC.8.F.2 Compare properties of two linear functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

• NC.8.F.3 Identify linear functions from tables, equations, and graphs.

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

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

• NC.8.G.2 Use transformations to define congruence.

• NC.8.G.3 Describe the effect of dilations about the origin, translations, rotations about the origin in 90 degree increments, and reflections across the 𝑥-axis and 𝑦- axis on two-dimensional figures using coordinates.

• NC.8.G.4 Use transformations to define similarity.

• NC.8.G.5 Use informal arguments to analyze angle relationships.

• NC.8.G.6 Explain the Pythagorean Theorem and its converse.

• NC.8.G.7 Apply the Pythagorean Theorem and its converse to solve real-world and mathematical problems.

• NC.8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

• NC.8.G.9 Understand how the formulas for the volumes of cones, cylinders, and spheres are related and use the relationship to solve real-world and mathematical problems.

• NC.8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities.

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

• 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.