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Ohio Grade 8 Math

Ohio Grade 8 Math: explore grade-level lessons, worksheets, and learning references. Check the curriculum source and choose practice for your next skill.

Focused lessons · Useful practice · Clear next steps

Standards source: Ohio’s Learning Standards, Ohio Department of Education and Workforce.

Ohio Grade 8 Math Skill Quizzes

Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full solutions, then jump to the matching lesson. Each opens right here.

Ohio OST Grade 8 Math Snapshot

OSTOhio's State Tests
6full practice tests
100minute timer each
Scientificcalculator policy

Ohio Grade 8: connect practice to a classroom target

Use Ohio curriculum source to check the expectation your class is studying. The topic directory provides general lessons; it is not a complete state alignment. These selected learning references give you more precise ideas to compare with an assignment. Common Core-style codes are Common Core references, and other codes come from the existing planning reference. Confirm current state wording and placement before treating either as an official local requirement.

8.NS.1
Know that real numbers are either rational or irrational. Understand informally that every number has a decimal expansion which is repeating, terminating, or is non-repeating and non-terminating
8.EE.1
Understand, explain, and apply the properties of integer exponents to generate equivalent numerical expressions
8.F.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. Function notation is not required in Grade 8
8.G.1
Verify experimentally the properties of rotations, reflections, and translations (include examples both with and without coordinates)
8.SP.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, negative, or no association; and linear association and nonlinear association

Choose practice from the explanation

Ask the student to explain one of the ideas above with a drawing, model, table, or short calculation. If the explanation is unclear, open the related lesson before assigning a mixed test. If the idea is understood but the calculation is unreliable, choose a focused worksheet and review the strategy afterward.

Keep the classroom target, the resource used, and the next step together in a study note. A topic quiz can guide review; its score is not an official state performance level. Revisit the skill in a new context after a few days.

Ohio Grade 8 Math Topics

Student-friendly Grade 8 math skills connected to the Ohio standards, each tagged with its OST standard code and a focused lesson.

OST standard codes

Ohio Grade 8 Math Standards

The official Ohio Grade 8 math standards, grouped by domain with the exact code and description for each expectation.

8.NS · The Number System

  • 8.NS.1Know that real numbers are either rational or irrational. Understand informally that every number has a decimal expansion which is repeating, terminating, or is non-repeating and non-terminating
  • 8.NS.2Use 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 · Expressions & Equations

  • 8.EE.1Understand, explain, and apply the properties of integer exponents to generate equivalent numerical expressions
  • 8.EE.2Use 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.3Use 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.4Perform operations with numbers expressed in scientific notation, including problems where both decimal notation and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities, e.g., use millimeters per year for seafloor spreading. Interpret scientific notation that has been generated by technology
  • 8.EE.5Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways
  • 8.EE.6Use 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.7Solve linear equations in one variable
  • 8.EE.7aGive examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers)
  • 8.EE.7bSolve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms
  • 8.EE.8Analyze and solve pairs of simultaneous linear equations graphically
  • 8.EE.8aUnderstand that the solution to a pair of linear equations in two variables corresponds to the point(s) of intersection of their graphs, because the point(s) of intersection satisfy both equations simultaneously
  • 8.EE.8bUse graphs to find or estimate the solution to a pair of two simultaneous linear equations in two variables. Equations should include all three solution types: one solution, no solution, and infinitely many solutions. Solve simple cases by inspection
  • 8.EE.8cSolve real-world and mathematical problems leading to pairs of linear equations in two variables

8.F · Functions

  • 8.F.1Understand 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. Function notation is not required in Grade 8
  • 8.F.2Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)
  • 8.F.3Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear
  • 8.F.4Construct 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.5Describe 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 · Geometry

  • 8.G.1Verify experimentally the properties of rotations, reflections, and translations (include examples both with and without coordinates)
  • 8.G.1aLines are taken to lines, and line segments are taken to line segments of the same length
  • 8.G.1bAngles are taken to angles of the same measure
  • 8.G.1cParallel lines are taken to parallel lines
  • 8.G.2Understand 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. (Include examples both with and without coordinates.)
  • 8.G.3Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
  • 8.G.4Understand 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. (Include examples both with and without coordinates.)
  • 8.G.5Use 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.6Analyze and justify an informal proof of the Pythagorean Theorem and its converse
  • 8.G.7Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions
  • 8.G.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
  • 8.G.9Solve real-world and mathematical problems involving volumes of cones, cylinders, and spheres

8.SP · Statistics & Probability

  • 8.SP.1Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering; outliers; positive, negative, or no association; and linear association and nonlinear association
  • 8.SP.2Understand 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
  • 8.SP.3Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept
  • 8.SP.4Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables

Standards: Ohio Learning Standards. Official source ↗

Ohio OST Grade 8 Math FAQ

What is the OST Grade 8 math test?

The OST (Ohio's State Tests) is Ohio's Grade 8 mathematics assessment. The linked activities are independent Grade 8 practice. Their question count, timer, scoring, and item types may differ from the official assessment. Use the directions inside each activity.

Can I use a calculator?

Calculator rules depend on the grade, assessment, test segment, and approved accommodations. Follow the current assessment guidance and ask your school which rules apply. A tool available in independent practice does not establish permission on the official test.

How long is each practice test?

Read the timer and question count shown in the practice activity you open. These are practice settings, not a statement of the official assessment’s duration or scoring.

Is it free?

The linked general practice and topic resources are available separately from optional books. Check each activity’s directions and access requirements. The study guide and bundle are optional next steps.

Grade 8 Math in Other States

Explore Grade 8 math standards, practice tests, and worksheets for every state.

Make This Your Ohio OST Starting Point

Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the OST study guide.

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Ohio Grade 8 Math: study questions

How should I choose a Grade 8 math study target?

Choose a current classroom target, find the matching learning reference, and use a lesson or available practice resource to check understanding. State documents control local wording and placement; shared reference codes are not a certified crosswalk.

Official source ↗
Are these activities official state assessments?

These are independently published learning resources. A practice score does not predict or replace an official state score. Use the directions in each activity and consult your school for official testing and accommodation rules.

Resources from Effortless Math · Editorial standards