Vermont8th Grade Math
Vermont 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to Vermont Mathematics Standards so your child keeps up with class or gets ahead.
Vermont 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. |
8th Grade Math in Vermont
Vermont 8th grade math is a pivotal year. Students transition from arithmetic-focused learning to more abstract reasoning, covering topics like irrational numbers, linear functions, and geometric transformations. All content aligns to the Vermont Mathematics Standards, which guide what students are expected to know before entering high school.
Key Topics in Vermont 8th Grade Math
- Number Systems: Understanding rational vs. irrational numbers, decimal expansions, and approximating irrational numbers on a number line.
- Exponents and Scientific Notation: Applying properties of integer exponents, using square and cube roots, and performing operations with numbers in scientific notation.
- Linear Equations and Systems: Solving one-variable linear equations and analyzing pairs of simultaneous linear equations.
- Functions: Understanding what a function is, comparing functions represented in different forms, and modeling linear relationships.
- Geometry: Exploring rotations, reflections, translations, dilations, congruence, similarity, and angle relationships.
- Pythagorean Theorem: Proving the theorem, applying it to find unknown side lengths, and using it to find distances between coordinate points.
- Volume: Using formulas for cones, cylinders, and spheres to solve real-world problems.
- Statistics and Data: Constructing scatter plots, fitting linear models, interpreting slope and intercept, and working with two-way tables.
How StudyPug Supports Vermont 8th Grade Math Students
StudyPug provides video lessons and practice problems for every topic listed above. Each lesson is short — typically 5 to 15 minutes — so students can focus on one concept at a time without feeling overwhelmed. Whether a student is trying to catch up on a missed lesson or preparing for the VCAP assessment, StudyPug gives them a reliable resource aligned to what Vermont schools teach.
Parents can monitor progress, and students can revisit any lesson as many times as they need. There is no pressure to move on before understanding a concept.
Preparing for the VCAP Math Assessment
Vermont administers the VCAP (Vermont Comprehensive Assessment Program) in grades 3 through 8 and grade 11. For 8th graders, the math assessment covers the full range of Vermont Mathematics Standards topics. StudyPug's 8th grade math content is organized to match these standards, giving students a clear path from learning a concept to practicing it and applying it on assessments.