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Maine Grade 8 Math
Maine 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: Content Standards, Maine Department of Education.
Start With a TYA Practice Test
Six full, timed Maine TYA Grade 8 math practice tests, 40 questions each, instant scoring, a topic-by-topic breakdown, and full step-by-step solutions. Each one opens right here in a popup. Calculator: Scientific calculator (on part).
TYA Practice Test 1
A full diagnostic across every Maine Grade 8 math topic.
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TYA Practice Test 2
Fresh questions and problem types to build accuracy.
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TYA Practice Test 3
New problems to add speed and confidence on every skill.
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TYA Practice Test 4
Another complete, timed exam to build pacing and stamina.
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TYA Practice Test 5
A brand-new mixed set to test your readiness.
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TYA Practice Test 6
A final full-length simulation to confirm you are ready.
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Maine Grade 8 Math Study Tools
A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.
Maine 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.
The Number System & Real Numbers
A quick 10-question check on The Number System & Real Numbers with instant scoring and step-by-step solutions.
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Exponents & Scientific Notation
A quick 10-question check on Exponents & Scientific Notation with instant scoring and step-by-step solutions.
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Equations & Inequalities
A quick 10-question check on Equations & Inequalities with instant scoring and step-by-step solutions.
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Functions
A quick 10-question check on Functions with instant scoring and step-by-step solutions.
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Geometry & Transformations
A quick 10-question check on Geometry & Transformations with instant scoring and step-by-step solutions.
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Statistics & Probability
A quick 10-question check on Statistics & Probability with instant scoring and step-by-step solutions.
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Financial Literacy
A quick 10-question check on Financial Literacy with instant scoring and step-by-step solutions.
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Mixed Grade 8 Review
A quick 10-question check on Mixed Grade 8 Review with instant scoring and step-by-step solutions.
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Maine TYA Grade 8 Math Snapshot
Maine Grade 8: connect practice to a classroom target
Use Maine 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.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.EE.A.1
- Know and apply the properties of integer exponents to generate equivalent numerical expressions.
- 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.G.A.1
- Verify experimentally the properties of rotations, reflections, and translations
- 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.
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.
Common Core excerpts: © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Public license and attribution.
Maine Grade 8 Math Topics
Student-friendly Grade 8 math skills connected to the Maine standards, each tagged with its TYA standard code and a focused lesson.
Number Sense
- 8.QRRational and Irrational NumbersWorksheetsQuiz
- 8.QRTurning Repeating Decimals into FractionsWorksheetsQuiz
- 8.QREstimating Irrational NumbersWorksheetsQuiz
- 8.QREstimating Expressions with Irrational NumbersWorksheetsQuiz
- 8.QRPersonal Financial LiteracyWorksheetsQuiz
- 8.QRPrime Factorization with ExponentsWorksheetsQuiz
- 8.QRDensity of Real NumbersWorksheetsQuiz
Exponents and Scientific Notation
Equations and Inequalities
- 8.EEGraphing Proportional RelationshipsWorksheetsQuiz
- 8.EESlope as Rate of ChangeWorksheetsQuiz
- 8.EESlope and the Equations of a LineWorksheetsQuiz
- 8.EESolving Linear Equations in One VariableWorksheetsQuiz
- 8.EESolving Systems of Two EquationsWorksheetsQuiz
- 8.EESolving Real Problems with SystemsWorksheetsQuiz
- 8.EESolving Linear InequalitiesWorksheetsQuiz
- 8.EEMultiplying Linear Expressions and FactoringWorksheetsQuiz
- 8.EEGraphing Linear Inequalities in Two VariablesWorksheetsQuiz
- 8.EEParallel and Perpendicular LinesWorksheetsQuiz
- 8.EEPoint Slope and Standard FormWorksheetsQuiz
- 8.EELiteral EquationsWorksheetsQuiz
- 8.EEAbsolute Value Equations and InequalitiesWorksheetsQuiz
- 8.EEEquations with Special SolutionsWorksheetsQuiz
Functions
- 8.FWhat is a FunctionWorksheetsQuiz
- 8.FReading Function ValuesWorksheetsQuiz
- 8.FComparing Two FunctionsWorksheetsQuiz
- 8.FLinear vs Nonlinear FunctionsWorksheetsQuiz
- 8.FBuilding Linear FunctionsWorksheetsQuiz
- 8.FSketching and Describing Function GraphsWorksheetsQuiz
- 8.FDomain and Range of a FunctionWorksheetsQuiz
- 8.FArithmetic SequencesWorksheetsQuiz
- 8.FGeometric SequencesWorksheetsQuiz
Geometry
- 8.GRotations Reflections and TranslationsWorksheetsQuiz
- 8.GCongruent FiguresWorksheetsQuiz
- 8.GTransformations on the Coordinate PlaneWorksheetsQuiz
- 8.GSimilarity and DilationsWorksheetsQuiz
- 8.GAngles in Triangles and Parallel LinesWorksheetsQuiz
- 8.GThe Pythagorean TheoremWorksheetsQuiz
- 8.GFinding Distance with the Pythagorean TheoremWorksheetsQuiz
- 8.GVolume of CylindersWorksheetsQuiz
- 8.GAngle RelationshipsWorksheetsQuiz
- 8.GSurface Area of Prisms Cylinders and PyramidsWorksheetsQuiz
- 8.GVolume of PyramidsWorksheetsQuiz
- 8.GComposite Figures Area and PerimeterWorksheetsQuiz
- 8.GInterior Angles of PolygonsWorksheetsQuiz
- 8.GTriangle Inequality TheoremWorksheetsQuiz
- 8.GSurface Area of SpheresWorksheetsQuiz
- 8.GArc Length and Area of SectorsWorksheetsQuiz
- 8.GCross Sections of 3D FiguresWorksheetsQuiz
- 8.GParallel Lines and TransversalsWorksheetsQuiz
- 8.G(merged topic)WorksheetsQuiz
- 8.GVolume of Cones and SpheresWorksheetsQuiz
Statistics and Probability
- 8.SPScatter Plots and Patterns in DataWorksheetsQuiz
- 8.SPFitting a Line to DataWorksheetsQuiz
- 8.SPUsing a Linear ModelWorksheetsQuiz
- 8.SPTwo Way Tables for Categorical DataWorksheetsQuiz
- 8.SPMean Absolute DeviationWorksheetsQuiz
- 8.SPProbability of Simple EventsWorksheetsQuiz
- 8.SPCounting Principle and PermutationsWorksheetsQuiz
- 8.SPBox Plots and Interquartile RangeWorksheetsQuiz
- 8.SPRandom SamplingWorksheetsQuiz
- 8.SPEffect of Data Changes on StatisticsWorksheetsQuiz
- 8.SP(merged topic)WorksheetsQuiz
Best Maine TYA Grade 8 Math Books
Each book has a job: start from scratch, drill weak skills, or build pacing with full tests. All of them pair with the free tools on this page.
Choose the right Maine Grade 8 math book
The Ultimate Middle School Math Bundle
The full prep library, study guide, workbook, and practice tests together.
7 Maine TYA Grade 8 Math Practice Tests
Use after topic review to build pacing and test stamina.
Maine Through Year Assessment Grade 8 Math & ELA Mega Bundle
9 books and 44 full-length practice tests in one TPT bundle.
Maine Grade 8 Math Standards
The official Maine Grade 8 math standards, grouped by domain with the exact code and description for each expectation.
8.QR
- 8.QR.EA.6Know that there are numbers that are not rational, and approximate them by rational numbers
8.NS · The Number System
- 8.NS.A.1Know 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 expansions terminate in 0s or eventually repeats and convert a decimal expansion into a rational number
- 8.NS.A.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 ). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations
8.AR
- 8.AR.EA.6Work with radicals and integer exponents
- 8.AR.EA.7Understand the connections between proportional relationships, lines, and linear equations
- 8.AR.EA.8Analyze and solve linear equations and pairs of simultaneous linear equations
- 8.AR.EA.9Define, evaluate, and compare functions to model relationships between quantities
8.EE · Expressions & Equations
- 8.EE.A.1Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × 3⁻⁵ = 3⁻³ = (1/3)³ = 1/27
- 8.EE.A.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.A.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. For example, estimate the population of the United States as 3 times 10⁸; and the population of the world as 7 times 10⁹, and determine that the world population is more than 20 times larger
- 8.EE.A.4Perform operations with numbers expressed in scientific notation, including problems where both decimal 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.B.5Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed
- 8.EE.B.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 14 equation y = mx + b for a line intercepting the vertical axis at b. For example, given the line y = 0.5x + 3 explain why the similar triangles have the same slope
- 8.EE.C.7Solve linear equations in one variable
- 8.EE.C.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.C.7bSolve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms
- 8.EE.C.8Analyze and solve pairs of simultaneous linear equations
- 8.EE.C.8aUnderstand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously
- 8.EE.C.8bSolve systems of two linear equations in two variables algebraically (i.e. By substitution or elimination) and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6
- 8.EE.C.8cSolve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair
8.F · Functions
- 8.F.A.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
- 8.F.A.2Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change
- 8.F.A.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. For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line
- 8.F.B.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.B.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.GR
- 8.GR.EA.3Understand congruence and similarity using physical models, transparencies, or geometry software
- 8.GR.EA.4Understand and apply the Pythagorean Theorem
8.G · Geometry
- 8.G.A.1Verify experimentally the properties of rotations, reflections, and translations:
- 8.G.A.1aLines are taken to lines, and line segments to line segments of the same length
- 8.G.A.1bAngles are taken to angles of the same measure
- 8.G.A.1cParallel lines are taken to parallel lines
- 8.G.A.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
- 8.G.A.3Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
- 8.G.A.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
- 8.G.A.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. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so
- 8.G.B.6Explain a proof of the Pythagorean Theorem and its converse using pictures, diagrams, narratives or models
- 8.G.B.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.B.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
8.SR
- 8.SR.EA.4Investigate patterns of association in bivariate data
8.SP · Statistics & Probability
- 8.SP.A.1Construct 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.2Know 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.A.3Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height
- 8.SP.A.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. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?
Standards: Maine Learning Results. Official source ↗
Maine TYA Grade 8 Math FAQ
What is the TYA Grade 8 math test?
The TYA (Maine Through Year Assessment) is Maine'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 Maine TYA Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the TYA study guide.
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Maine 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