ArkansasArkansas 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to Arkansas Mathematics Standards so your child stays on track with what school teaches.
Arkansas 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. |
Arkansas 8th Grade Math: Key Topics
Arkansas 8th grade math covers a wide range of topics that build the foundation for high school algebra and geometry. StudyPug organizes every topic to match what Arkansas schools teach, following Arkansas Mathematics Standards.
Number Systems and Exponents
Students learn the difference between rational and irrational numbers, understand decimal expansions, and work with integer exponents. Topics include square roots, cube roots, and scientific notation — both reading it and performing operations with it.
- Rational vs. irrational numbers and decimal expansions
- Properties of integer exponents
- Square roots and cube roots
- Scientific notation operations
Linear Equations and Functions
A major focus of 8th grade math is understanding linear relationships. Students graph proportional relationships, interpret slope, solve linear equations in one variable, and analyze systems of simultaneous linear equations. They also explore what makes a relationship a function and how to model linear functions.
- Graphing proportional relationships and slope
- Solving linear equations in one variable
- Systems of linear equations
- Defining and comparing functions
- Linear vs. nonlinear functions
Geometry: Transformations and the Pythagorean Theorem
Students explore rotations, reflections, translations, and dilations — and how these transformations affect congruence and similarity. The Pythagorean Theorem is introduced with proofs, real-world applications, and coordinate geometry uses.
- Rotations, reflections, and translations
- Congruence and similarity of two-dimensional figures
- Angle relationships with parallel lines and transversals
- Pythagorean Theorem proof and applications
- Distance between two points on a coordinate plane
- Volume of cones, cylinders, and spheres
Data Analysis and Statistics
Students construct and interpret scatter plots, fit lines to data, and use linear models to solve problems. They also work with two-way tables to find patterns in categorical data.
- Scatter plots and patterns of association
- Fitting a straight line to data
- Interpreting slope and intercept in context
- Two-way tables and relative frequencies
How StudyPug Supports Arkansas 8th Grade Math Students
StudyPug provides video lessons and practice problems for every topic in Arkansas 8th grade math. Students can search for any concept, watch a short lesson, and then practice right away. Whether your child needs help with tonight's homework or wants to prepare for the ACT Aspire, StudyPug covers every standard.