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Arizona Grade 8 Math

Arizona 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: Arizona Academic Standards, Arizona Department of Education.

Arizona 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.

Arizona AASA Grade 8 Math Snapshot

AASAArizona's Academic Standards Assessment
6full practice tests
100minute timer each
Scientificcalculator policy

Arizona Grade 8: connect practice to a classroom target

Use Arizona 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.NS.A.3
Understand that given any two distinct rational numbers,a<b, there exist a rational number c and an irrational number d such that a < c < b and a < d < b. Given any two distinct irrational numbers,a<b, there exist a rational number c and an irrational number d such that a < c < b and a < d < b
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.

Arizona Grade 8 Math Topics

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

AASA standard codes

Arizona Grade 8 Math Standards

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

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. Know that numbers whose decimal expansions do not terminate in zeros or in a repeating sequence of fixed digits are called irrational
  • 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 their values
  • 8.NS.A.3Understand that given any two distinct rational numbers,a<b, there exist a rational number c and an irrational number d such that a < c < b and a < d < b. Given any two distinct irrational numbers,a<b, there exist a rational number c and an irrational number d such that a < c < b and a < d < b

8.EE · Expressions & Equations

  • 8.EE.A.1Understand and apply the properties of integer exponents to generate equivalent numerical expressions
  • 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. 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 express how many times larger or smaller one is than the other
  • 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
  • 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
  • 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 equation y = mx + b for a line intercepting the vertical axis at (0,b)
  • 8.EE.C.7Fluently solve linear equations and inequalities in one variable
  • 8.EE.C.8Analyze and solve pairs of simultaneous linear equations

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. (Function notation is not required in Grade 8.)
  • 8.F.A.2Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)
  • 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
  • 8.F.B.4Given a description of a situation, generate 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 a graph. Track how the values of the two quantities change together. Interpret the rate of change and initial value of a linear function in terms of the situation it models, its graph, or its 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.G · Geometry

  • 8.G.A.1Verify experimentally the properties of rotations, reflections, and translations. Properties include: lines are taken to lines, line segments are taken to line segments of the same length, angles are taken to angles of the same measure, parallel lines are taken to parallel lines
  • 8.G.A.2Understand that a two-dimensional figure is congruent to another if one can be obtained from the other by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that demonstrates congruence
  • 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, and only if, one can be obtained from the other by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that demonstrates similarity
  • 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
  • 8.G.B.6Understand the Pythagorean Theorem and its converse
  • 8.G.B.7Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world context 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.G.C.9Understand and use formulas for volumes of cones, cylinders and spheres and use them to solve real-world context and mathematical problems

8.SP · Statistics & Probability

  • 8.SP.A.1Construct and interpret scatter plots for bivariate measurement data to investigate and 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
  • 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
  • 8.SP.B.5Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

Standards: Arizona Mathematics Standards. Official source ↗

Arizona AASA Grade 8 Math FAQ

What is the AASA Grade 8 math test?

The AASA (Arizona's Academic Standards Assessment) is Arizona'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 Arizona AASA Starting Point

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

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Arizona 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