GeorgiaGeorgia 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to Georgia Standards of Excellence so your child can keep up with class or get ahead.
Georgia 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. |
Georgia 8th Grade Math: What Students Learn
Georgia 8th grade math follows the Georgia Standards of Excellence (GSE) and covers six major areas: number systems, expressions and equations, functions, geometry, and statistics and probability. These topics build the foundation students need for high school algebra and beyond.
Number System and Exponents
Students learn that numbers can be rational or irrational and practice converting repeating decimals to fractions. They apply the properties of integer exponents to simplify expressions, use square root and cube root symbols, and work with numbers in scientific notation — including performing operations and comparing very large or very small quantities.
Linear Equations and Systems
8th graders solve one-variable linear equations and analyze pairs of simultaneous linear equations. They graph proportional relationships, interpret slope, and derive equations in the form y = mx and y = mx + b using similar triangles to explain why slope is constant on a straight line.
Functions
Students are introduced to the concept of a function — a rule that assigns exactly one output to each input. They compare functions represented in different ways (graphs, tables, equations, verbal descriptions), identify linear vs. nonlinear functions, and construct functions to model real-world linear relationships, interpreting rate of change and initial value.
Geometry: Transformations and Similarity
8th grade geometry covers rotations, reflections, translations, and dilations of two-dimensional figures using coordinates. Students learn what it means for figures to be congruent or similar and describe sequences of transformations that connect two figures. They also explore angle relationships — including angles in triangles and angles formed by parallel lines cut by a transversal.
Pythagorean Theorem
Students explain a proof of the Pythagorean Theorem and its converse, then apply it to find unknown side lengths in right triangles in two and three dimensions. They also use the theorem to calculate the distance between two points on a coordinate plane. Volume formulas for cones, cylinders, and spheres round out the geometry strand.
Statistics and Probability: Bivariate Data
Students construct and interpret scatter plots, identify patterns of association (clustering, outliers, positive/negative association), and informally fit trend lines to data. They use linear models to solve real-world problems and interpret slope and intercept in context. Two-way tables introduce students to patterns in categorical bivariate data.
Preparing for the Georgia Milestones
Georgia administers the Georgia Milestones End-of-Grade assessment in 8th grade math. StudyPug covers every GSE standard tested, giving students targeted practice on the exact skills assessed. Every topic in the table above maps directly to what Georgia schools teach and what the Milestones measures.