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8th Grade Math

Maine 8th Grade Math Curriculum

Video lessons and practice for every 8th grade math topic. Aligned to Maine Learning Results Math standards. Get homework help anytime.

Maine 8th Grade Math Curriculum | StudyPugHelp

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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.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.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.

Maine 8th Grade Math: Key Topics

Maine 8th graders work through some of the most important math concepts before high school. StudyPug covers every topic listed in the Maine Learning Results Math standards so students always have a resource to turn to when class moves fast.

Number Systems and Exponents

Students learn the difference between rational and irrational numbers and understand that every number has a decimal expansion. They apply properties of integer exponents, work with square roots and cube roots, and use scientific notation to represent very large and very small quantities. These skills appear throughout science and high school math.

Linear Equations and Systems

8th grade math places heavy emphasis on linear relationships. Students solve linear equations in one variable, analyze pairs of simultaneous linear equations, and connect proportional relationships to the slope of a graph. Understanding y = mx + b is a central skill at this level.

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 (tables, graphs, equations, verbal descriptions) and construct functions to model linear relationships in real-world situations.

Geometry: Transformations and Similarity

The geometry units cover rotations, reflections, translations, and dilations. Students learn what it means for two figures to be congruent or similar and use coordinates to describe the effects of transformations on two-dimensional figures.

Pythagorean Theorem

Students explain a proof of the Pythagorean Theorem, apply it to find unknown side lengths in right triangles, and use it to find the distance between two points in a coordinate plane. These skills connect geometry to algebra in an important way.

Volume and Data Analysis

Students apply formulas for the volumes of cones, cylinders, and spheres to solve real-world problems. In data analysis, they construct and interpret scatter plots, fit linear models to data, and read two-way tables to identify patterns of association between categorical variables.

  • Rational and irrational numbers
  • Integer exponents and scientific notation
  • Linear equations and systems of equations
  • Functions and linear models
  • Geometric transformations, congruence, and similarity
  • Pythagorean Theorem and its applications
  • Volume of cones, cylinders, and spheres
  • Scatter plots, linear models, and two-way tables