MinnesotaMinnesota 8th Grade Math Curriculum
Video lessons and practice for every 8th grade math topic. Aligned to Minnesota Academic Standards Math so your child keeps up with class.
Minnesota 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 Topics in Minnesota
Minnesota 8th grade math covers a wide range of topics that lay the foundation for high school mathematics. Aligned to the Minnesota Academic Standards Math, the curriculum spans number systems, algebra, geometry, and statistics. StudyPug provides video lessons and practice problems for each of these areas so students never fall behind.
The Number System
Students learn the difference between rational and irrational numbers and understand that every number has a decimal expansion. Topics include converting repeating decimals to fractions, using rational approximations of irrational numbers, and locating irrational numbers on a number line. Students also master integer exponents, square roots, cube roots, and scientific notation — skills needed throughout high school math.
Expressions and Equations
8th grade algebra introduces proportional relationships and slope. Students graph proportional relationships, use similar triangles to explain why slope is constant on a line, and derive equations in the form y = mx and y = mx + b. They also solve linear equations in one variable and analyze pairs of simultaneous linear equations — core skills for the MCA and future algebra courses.
Functions
Students explore what makes a relationship a function and compare properties of two functions shown in different forms — graphs, tables, equations, or verbal descriptions. They interpret y = mx + b as a linear function, construct functions to model real-world situations, and describe how a function behaves by analyzing its graph.
Geometry
The geometry unit covers rotations, reflections, translations, and dilations. Students verify properties of transformations experimentally and use coordinate notation to describe their effects. They explore congruence and similarity, work with angle relationships in triangles and parallel lines, and study the Pythagorean Theorem — including its proof, applications in two and three dimensions, and use in finding distances on a coordinate plane. Volume formulas for cones, cylinders, and spheres round out the geometry unit.
Statistics and Probability
Students construct and interpret scatter plots, identify patterns of association such as clustering and outliers, and informally fit a line to data that shows a linear trend. They use the equation of a linear model to make predictions and interpret slope and intercept in context. Students also analyze bivariate categorical data using two-way tables and relative frequencies.
Preparing for the MCA in Minnesota
Minnesota administers the MCA Math assessment in 8th grade. StudyPug covers every standard assessed, giving students the practice they need to build confidence. Each topic in the table above corresponds to a Minnesota Academic Standards Math expectation, so students and parents can target exactly what will be tested.