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8th Grade Math

Illinois 8th Grade Math

Watch algebra and geometry videos, practice with hundreds of real problems

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Illinois 8th Grade Math Help | Build Strong SkillsHelp

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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.
Complete Illinois 8th Grade Math Coverage

8th Grade Math Lessons

60

Video Explanations

413

Practice Problems

390

Illinois Standards

100% Aligned

Why Illinois Families Choose StudyPug

IAR Test Prep

IAR Test Prep

Practice questions match the real IAR format

Certified Teachers

Certified Teachers

Certified teachers who know your Illinois standards

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Step-by-Step Solutions

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Success Stories

He was struggling with functions and now helps his classmates. The personalized practice made all the difference.

Marcus D.

IAR scores went up significantly. The test prep questions perfectly matched what was on the actual exam.

Patricia L.

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Common Questions About 8th Grade Math

Everything you need to know about helping your child succeed in Illinois 8th Grade Math

Is StudyPug aligned with Illinois Learning Standards?

Yes, our 8th Grade Math curriculum is 100% aligned with Illinois Learning Standards. Every lesson covers the exact topics your child learns in school.

How does StudyPug help with IAR test preparation?

Our practice problems match IAR test formats. Students work through questions that mirror the actual exam, building confidence and familiarity with test structure.

What 8th grade math topics does StudyPug cover?

We cover all core topics: linear equations, functions, transformations, Pythagorean theorem, exponents, scientific notation, and data analysis required for 8th grade.

Can StudyPug help with algebra and geometry?

Absolutely. Our 8th Grade Math includes comprehensive algebra and geometry lessons with video explanations and step-by-step practice for both subjects.

How do I track my child's progress?

The parent portal shows exactly which topics your child has mastered, time spent learning, quiz scores, and areas needing more practice in real-time.

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