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North Dakota Grade 8 Math

North Dakota 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: North Dakota Education Content Standards, North Dakota Department of Public Instruction.

North Dakota 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.

North Dakota NDSA Grade 8 Math Snapshot

NDSANorth Dakota State Assessment
6full practice tests
100minute timer each
Scientificcalculator policy

North Dakota Grade 8: connect practice to a classroom target

Use North Dakota 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.NO.NS.1
Compare and classify real numbers within the real number system
8.AR.EE.1
Explain the relationship between repeated multiplication and the properties of integer exponents. Apply a single exponent property to generate equivalent numeric and algebraic expressions that include numerical coefficients
8.GM.AV.1
Apply given formulas to solve problems involving the volume of cones, cylinders, and spheres, including authentic problems
8.DPS.D.1
Interpret scatter plots for bivariate measurement data to investigate 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.

North Dakota Grade 8 Math Topics

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

NDSA standard codes

North Dakota Grade 8 Math Standards

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

8.NO

  • 8.NO.NS.1Compare and classify real numbers within the real number system
  • 8.NO.NS.2Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them on a number line diagram, and estimate the value of irrational expressions involving one operation
  • 8.NO.NS.3Use scientific notation to represent very large or very small quantities. Interpret scientific notation generated by technology. Compare and order numbers in both scientific and standard notation
  • 8.NO.O.1Evaluate mentally the square roots of perfect squares up to 225 and cube roots of perfect cubes up to 1000
  • 8.NO.O.2Add, subtract, multiply, and divide rational numbers using strategies or procedures

8.AR

  • 8.AR.EE.1Explain the relationship between repeated multiplication and the properties of integer exponents. Apply a single exponent property to generate equivalent numeric and algebraic expressions that include numerical coefficients
  • 8.AR.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 non-negative rational number
  • 8.AR.EE.3Explain the characteristics of a linear relationship, including identifying the slope and y-intercept in tables, graphs, equations, and descriptions
  • 8.AR.EE.4Represent linear relationships using tables, graphs, equations, and descriptions when given a relationship in one of these forms
  • 8.AR.EE.5Solve linear equations with rational number coefficients and variables on both sides, including equations that require using the distributive property and/or combining and collecting like terms. Interpret the number of solutions. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions
  • 8.AR.EE.6Read, write, and evaluate numerical and algebraic expressions including expressions involving absolute value. Solve and graph equations of the form |x|=rwhereris a nonnegative rational number
  • 8.AR.EE.7Solve and graph inequalities in one variable with rational number coefficients and variables on both sides, including inequalities that require using the distributive property and/or combining like terms
  • 8.AR.EE.8Graph linear inequalities in two variables on a coordinate plane. Interpret the possible solutions in the context of authentic problems
  • 8.AR.F.1Defend whether a relation is a function from various representations using appropriate function language
  • 8.AR.F.2Compare and contrast properties of two linear functions, each represented in a different way (algebraically, graphically, numerically in tables, and/or by descriptions)
  • 8.AR.F.3Compare and contrast linear and non-linear functions represented in different ways (algebraically, graphically, numerically in tables, and/or by descriptions)
  • 8.AR.F.4Model a linear function between two quantities by creating a table, graph, and equation. Interpret the rate of change and initial value of a linear function in terms of the situation it models
  • 8.AR.F.5Describe qualitatively the functional relationship between two quantities by analyzing a graph including where the function is constant, increasing, or decreasing; linear or nonlinear; and discrete or continuous. Create a graph that exhibits the qualitative features of a function described

8.GM

  • 8.GM.AV.1Apply given formulas to solve problems involving the volume of cones, cylinders, and spheres, including authentic problems
  • 8.GM.GF.1Perform single transformations to a figure on the coordinate plane and determine whether the figures are congruent or similar
  • 8.GM.GF.2Describe the characteristics of transformations on the coordinate plane using transformation language
  • 8.GM.GF.3Name the type of transformation needed to map a pre-image to its image
  • 8.GM.GF.4Describe the following angle-pair relationships: interior and exterior angles of triangles and angles formed when a transversal cuts parallel lines or intersecting lines. Solve for an unknown angle in a figure by applying facts about these angles
  • 8.GM.GF.5Describe the relationship between the leg lengths and the hypotenuse length of a right triangle. Determine whether a triangle is a right triangle using this relationship
  • 8.GM.GF.6Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in two and three dimensions on and off a coordinate plane, including authentic problems

8.DPS

  • 8.DPS.D.1Interpret scatter plots for bivariate measurement data to investigate patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association
  • 8.DPS.D.2Draw an informal trend line on a given scatter plot with a linear association and justify its fit by describing the closeness of the data points to the line
  • 8.DPS.D.3Solve authentic problems in the context of bivariate measurement data by interpreting the slope and intercept(s) and making predictions using a linear model
  • 8.DPS.D.4Construct and interpret a two-way table summarizing bivariate categorical data collected from the same subjects

Standards: North Dakota Content Standards. Official source ↗

North Dakota NDSA Grade 8 Math FAQ

What is the NDSA Grade 8 math test?

The NDSA (North Dakota State Assessment) is North Dakota'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 North Dakota NDSA Starting Point

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

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North Dakota 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