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.