IowaIowa 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to Iowa Core Math Standards so Iowa students can keep up with class or get ahead.
Iowa 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. |
Iowa Core Math Standards for 8th Grade
Iowa's 8th grade math curriculum follows the Iowa Core Math Standards, which set clear expectations for what students should know by the end of the school year. Topics span five major areas: the number system, expressions and equations, functions, geometry, and statistics and probability. StudyPug covers every one of these areas with video lessons and guided practice problems.
Numbers, Exponents, and Scientific Notation
8th grade math begins with a deeper look at the number system. Students learn to distinguish between rational and irrational numbers, understand that every number has a decimal expansion, and convert repeating decimals back into fractions. From there, students apply the properties of integer exponents to write equivalent expressions, work with square roots and cube roots, and use scientific notation to represent and compare very large or very small quantities. StudyPug has step-by-step video lessons for each of these concepts.
Linear Equations and Systems
A major focus of 8th grade math is linear equations. Students learn to interpret slope as a unit rate, derive the equation of a line, and solve linear equations in one variable. They also analyze and solve pairs of simultaneous linear equations — a skill that lays the groundwork for high school algebra. StudyPug breaks each of these topics into short, clear lessons with practice problems so students can master them one step at a time.
Functions
8th grade is when Iowa students are formally introduced to the concept of a function. They learn that a function assigns exactly one output to each input, compare functions represented in different forms, and interpret linear functions using the equation y = mx + b. Students also construct functions to model real-world linear relationships and describe how a function behaves by reading its graph. StudyPug's video lessons make these abstract ideas concrete and easy to follow.
Geometry: Transformations and the Pythagorean Theorem
In geometry, 8th graders explore rotations, reflections, translations, and dilations — learning how these transformations affect two-dimensional figures on a coordinate plane. They use these ideas to understand congruence and similarity between figures. Students also study angle relationships formed by parallel lines and transversals, and they explain and apply the Pythagorean Theorem to find unknown side lengths and distances between points. StudyPug covers all of these topics with visual, step-by-step explanations.
Statistics and Data Analysis
The data and statistics strand of 8th grade math introduces students to scatter plots, lines of best fit, and bivariate categorical data. Students learn to construct and interpret scatter plots, identify patterns such as clustering and association, and use a linear model to make predictions. They also organize categorical data in two-way tables and use relative frequencies to identify possible associations. StudyPug's practice problems give students hands-on experience working with real data contexts.
Preparing for the ISASP
Iowa uses the ISASP (Iowa Statewide Assessment of Student Progress) to measure student performance in math for grades 3–8 and 11. The 8th grade ISASP assesses students on all five major Iowa Core Math Standards domains. By working through StudyPug's video lessons and practice problems for every topic, Iowa 8th graders can build the skills and confidence they need for the ISASP and for high school math.