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North Carolina Math Standards - 8th Grade
MathScore aligns to the North Carolina Math Standards for 8th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the North Carolina Math Standards at other levels.
Number and Operations
8.N.1 Apply combinations of addition, subtraction, multiplication, and division to solve multi-step problems with all rational numbers.8.N.1.1 Use all four operations for all rational numbers, including formal algorithms. (Scientific Notation 2 , Integer Addition , Integer Subtraction , Integer Multiplication , Integer Division )
8.N.2 Understand the structure of the Real number system.
8.N.2.1 Classify Real numbers as natural, whole, integer, rational or irrational providing a justification.
8.N.2.2 Represent Real numbers on a number line using opposites and absolute value. (Compare Integers , Absolute Value 1 )
8.N.2.3 Compare Real numbers. (Estimating Square Roots )
Algebra
8.A.1 Use the combining of like terms and the distributive property to write equivalent expressions.8.A.1.1 Use area models to illustrate the distributive property. (Distributive Property , Distributive Property 2 , Basic Distributive Property )
8.A.1.2 Use Greatest Common Factor and area models to determine possible dimensions of a rectangle when given the area.
8.A.1.3 Use like terms to write equivalent expressions. (Simplifying Algebraic Expressions )
8.A.1.4 Use a given value of the variable to identify equivalent expressions. (Variable Substitution , Variable Substitution 2 )
8.A.2 Apply mathematical operations and properties to solve inequalities and equations, including variables on both sides.
8.A.2.1 Use mathematical operations and properties to solve equations. (Linear Equations , Single Variable Equations 2 , Single Variable Equations 3 , Absolute Value Equations )
8.A.2.2 Use mathematical operations and properties to solve inequalities. (Single Variable Inequalities , Number Line Inequalities , Absolute Value Equations )
8.A.3 Understand the use of linear relationships in slope-intercept form to solve relevant problems.
8.A.3.1 Translate a linear relationship between its verbal, tabular, graphic and algebraic forms. (Determining Slope , Graphs to Linear Equations , Graphs to Linear Equations 2 )
8.A.3.2 Interpret the meaning of x-intercepts and y-intercepts.
8.A.3.3 Represent a linear equation in slope-intercept form, given the slope and y-intercept, slope and a point or two points. (Applied Linear Equations 1 )
8.A.3.4 Classify ordered pairs as correct or incorrect solutions to a linear equation.
8.A.4 Interpret the meaning and value of slope of linear relationships.
8.A.4.1 Represent slope given a table, graph, linear equation or two points. (Determining Slope )
8.A.4.2 Compare the slopes of two linear relationships to determine whether the lines are parallel or intersect at a point. (Parallel and Perpendicular Lines , Applied Linear Equations 2 )
8.A.4.3 Interpret the rate of change in tables to identify linear and non- linear relationships between variables.
8.A.5 Use the Cartesian coordinate system to solve problems involving a linear inequality.
8.A.5.1 Represent a linear inequality on the Cartesian coordinate system. (Graphs to Linear Inequalities )
8.A.5.2 Use graphs to find solutions to a linear inequality.
Geometry
8.G.1 Understand square roots and cube roots.8.G.1.1 Understand the relationship between geometric squares, perfect squares and their square roots. (Perfect Squares )
8.G.1.2 Understand the relationship between geometric cubes, cube numbers and their cube roots.
8.G.1.3 Infer an approximate square root of non-perfect squares between two consecutive integers. (Estimating Square Roots )
8.G.2 Apply the Pythagorean Theorem and its converse to solve relevant problems.
8.G.2.1 Apply the concepts of squares and square roots with the Pythagorean Theorem to find the side lengths of right triangles. (Pythagorean Theorem )
8.G.2.2 Use the converse of the Pythagorean theorem to identify right triangles.
8.G.3 Apply properties of angle relationships to solve problems.
8.G.3.1 Use properties of adjacent, vertical, supplementary and complementary angles to solve problems. (Identifying Angles , Angle Measurements )
8.G.3.2 Use properties of parallel lines cut by a transversal to determine angle measures. (Identifying Angles , Angle Measurements 2 )
8.G.3.3 Use proportional reasoning to determine arc lengths and central angles.
8.G.4 Understand rotations of points and two-dimensional geometric shapes about the origin in the Cartesian coordinate system.
8.G.4.1 Illustrate symbolic representation for rotations of points for 90°, 180°, 270°, both clockwise and counterclockwise about the origin.
8.G.4.2 Illustrate symbolic representation for rotations of two- dimensional geometric shapes for 90°, 180°, 270°, both clockwise and counterclockwise about the origin.
Measurement
8.M.1 Explain the effect of one or more changes in dimensions on perimeter, area, volume and surface area of two-dimensional and three-dimensional figures (prisms and cylinders).8.M.1.1 Understand the effect that dimension changes have on perimeter and area of two-dimensional figures. (Area And Volume Proportions )
8.M.1.2 Understand the effect that dimension changes have on volume and surface area of prisms and cylinders. (Area And Volume Proportions )
Statistics and Probability
8.S.1 Calculate the probabilities of dependent and independent events.8.S.1.1 Use probabilities of simple events to calculate the probabilities of independent and dependent events. (Object Picking Probability )
8.S.2 Use scatterplots to summarize bivariate data.
8.S.2.1 Classify type (positive, negative, no relation) of bivarate data correlation in scatterplots.
8.S.2.2 Represent trends in bivariate data, when appropriate, with a linear model.
8.S.2.3 Represent the linear model with a linear equation in slope- intercept form. (Graphs to Linear Equations )
8.S.2.4 Predict the value of one variable based on the other using the linear model to fit the data.
8.S.3 Understand misuse and distortion of data, statistical measures and graphical displays.
8.S.3.1 Understand how to determine outliers using the formula.
8.S.3.2 Understand the effect of an outlier on the mean, median, inter- quartile range and range of a set of data.
8.S.3.3 Understand misuses of surveys, sampling, graphs and statistics.
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