NebraskaNebraska 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to Nebraska Mathematics Standards so your child gets help that matches what their school teaches.
Nebraska 8th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
8.NS.A.1 | Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. |
8.NS.A.2 | Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). |
8.EE.A.1 | Know and apply the properties of integer exponents to generate equivalent numerical expressions. |
8.EE.A.2 | Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. |
8.EE.A.3 | Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. |
8.EE.B.5 | Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. |
8.EE.B.6 | Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. |
8.EE.C.7 | Solve linear equations in one variable. |
8.EE.C.8 | Analyze and solve pairs of simultaneous linear equations. |
8.F.A.1 | Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. |
8.F.A.2 | Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). |
8.F.B.4 | Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. |
8.F.B.5 | Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. |
8.G.A.1 | Verify experimentally the properties of rotations, reflections, and translations. |
8.G.A.2 | Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. |
8.G.A.3 | Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. |
8.G.A.4 | Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. |
8.G.A.5 | Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. |
8.G.B.6 | Explain a proof of the Pythagorean Theorem and its converse. |
8.G.B.7 | Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. |
8.G.B.8 | Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. |
8.G.C.9 | Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. |
8.SP.A.1 | Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. |
8.SP.A.2 | Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. |
Nebraska 8th Grade Math Topics
Nebraska 8th grade math covers a wide range of topics that build toward high school algebra and geometry. StudyPug has video lessons and practice problems for every topic aligned to the Nebraska Mathematics Standards.
Number System and Exponents
Students learn the difference between rational and irrational numbers and understand that every number has a decimal expansion. Topics include converting repeating decimals to fractions, using rational approximations to locate irrational numbers on a number line, applying properties of integer exponents, and working with square roots and cube roots. Scientific notation is introduced so students can express and compute very large and very small quantities.
Linear Equations and Functions
A major focus of 8th grade math is understanding linear relationships. Students graph proportional relationships and interpret the unit rate as the slope of a line. They use similar triangles to explain why slope is constant on a straight line, then derive equations in the form y = mx and y = mx + b. Students solve linear equations in one variable and analyze pairs of simultaneous linear equations. They also explore what a function is, compare functions represented in different ways, and construct functions to model real-world linear relationships.
Geometry and Transformations
Students verify properties of rotations, reflections, and translations experimentally. They learn what it means for two figures to be congruent or similar, and describe sequences of transformations that connect figures. Topics also include angle relationships in triangles and with parallel lines cut by a transversal, the angle-angle criterion for triangle similarity, and a full introduction to the Pythagorean Theorem — including its proof, its converse, and applying it to find distances in coordinate systems and in three-dimensional problems. Students also learn volume formulas for cones, cylinders, and spheres.
Statistics and Data Analysis
The data strand in 8th grade introduces scatter plots for bivariate data, including how to identify clustering, outliers, and positive or negative associations. Students fit a line to a scatter plot informally and use the equation of that line to solve problems, interpreting slope and intercept in context. They also work with two-way tables for categorical data and use relative frequencies to describe associations between variables.
How StudyPug Helps Nebraska 8th Graders
- Video lessons for every 8th grade topic, aligned to Nebraska Mathematics Standards
- Practice problems after each lesson with step-by-step solutions
- Available on computers, tablets, and phones — anytime, anywhere
- Short lessons students can pause and replay at their own pace
- Covers NSCAS-tested content so students are prepared for the state assessment