North Carolina EOG Grade 8 Math Prep Online Center

NC.8

• NC.8.NS.1Understand 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.2Use 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: square roots and cube roots to the tenths; π to the hundredths
• NC.8.EE.1Develop and apply the properties of integer exponents to generate equivalent numerical expressions
• NC.8.EE.2Use square root and cube root symbols to:
• NC.8.EE.3Use 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.4Perform 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.7Solve real-world and mathematical problems by writing and solving equations and inequalities in one variable
• NC.8.EE.8Analyze and solve a system of two linear equations in two variables in slope-intercept form
• NC.8.F.1Understand that a function is a rule that assigns to each input exactly one output
• NC.8.F.2Compare properties of two linear functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)
• NC.8.F.3Identify linear functions from tables, equations, and graphs
• NC.8.F.4Analyze functions that model linear relationships
• NC.8.F.5Qualitatively analyze the functional relationship between two quantities
• NC.8.G.2Use transformations to define congruence
• NC.8.G.3Describe 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.4Use transformations to define similarity
• NC.8.G.5Use informal arguments to analyze angle relationships
• NC.8.G.6Explain the Pythagorean Theorem and its converse
• NC.8.G.7Apply the Pythagorean Theorem and its converse to solve real-world and mathematical problems
• NC.8.G.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
• NC.8.G.9Understand 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.1Construct 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.2Model the relationship between bivariate quantitative data to:
• NC.8.SP.3Use 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.4Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table