Virginia8th Grade Math
Virginia 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to Virginia Mathematics Standards of Learning so students can keep up with class or get ahead.
Virginia 8th Grade Math Curriculum | StudyPugHelp
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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. |
8th Grade Math Topics Covered
Virginia 8th grade math spans a wide range of topics that build the foundation for high school mathematics. StudyPug covers every standard in the Virginia Mathematics Standards of Learning (SOL) for 8th grade, so students never have to search multiple sources for help.
- Number System: Rational and irrational numbers, decimal expansions, and comparing irrational numbers on a number line
- Exponents and Scientific Notation: Integer exponent properties, square roots, cube roots, and operations with numbers in scientific notation
- Linear Relationships: Slope, proportional relationships, graphing lines, and deriving equations of the form y = mx + b
- Linear Equations and Systems: Solving one-variable linear equations and pairs of simultaneous linear equations
- Functions: Understanding functions, comparing functions in different representations, and modeling linear relationships
- Geometry Transformations: Rotations, reflections, translations, dilations, congruence, and similarity
- Pythagorean Theorem: Proofs, applications in 2D and 3D problems, and finding distances in a coordinate system
- Volume: Formulas for cones, cylinders, and spheres applied to real-world problems
- Statistics and Data: Scatter plots, linear models, two-way tables, and interpreting bivariate data
How StudyPug Supports Virginia 8th Graders
Every lesson on StudyPug is built around the way students actually learn — short video explanations followed by practice problems with immediate feedback. When a Virginia 8th grader is stuck on the Pythagorean Theorem or can't figure out how to solve a system of equations, they can find the exact topic in the table, watch the lesson, and practice until they feel confident.
StudyPug aligns all 8th grade math content to Virginia Mathematics Standards of Learning, so every topic students see on StudyPug is a topic they will see in class and on the SOL test.
Preparing for the Virginia SOL Test
Virginia administers SOL tests in grades 3 through 8. The 8th grade math SOL assessment covers the full range of topics listed above. StudyPug's practice problems and step-by-step video lessons help students review each standard before test day, identify gaps, and build the problem-solving skills they need to succeed.
Explore all Virginia Math Curricula on StudyPug