Gizmos for North Dakota - Mathematics: 8th Grade (Content Standards adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

8.NO: : Number and Operations: Learners will develop a foundational understanding of the number system, operations, and computational fluency to create connections and solve problems within and across concepts.

8.NO.NS: : Number Systems: Learners will expand their knowledge of the number system to create connections and solve problems within and across concepts.

8.NO.NS.1: : Compare and classify real numbers within the real number system.

8.NO.NS.2: : Use 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.3: : Use 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: : Operations: Learners will expand their computational fluency to create connections and solve problems within and across concepts.

8.NO.O.1: : Evaluate mentally the square roots of perfect squares up to 225 and cube roots of perfect cubes up to 1000.

8.NO.O.2: : Add, subtract, multiply, and divide rational numbers using strategies or procedures.

8.AR: : Algebraic Reasoning: Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adopting approaches and solutions in novel situations.

8.AR.EE: : Expressions and Equations: Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adapting approaches in novel situations.

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.AR.EE.3: : Explain the characteristics of a linear relationship, including identifying the slope and y-intercept in tables, graphs, equations, and descriptions.

8.AR.EE.4: : Represent linear relationships using tables, graphs, equations, and descriptions when given a relationship in one of these forms.

8.AR.EE.5: : Solve 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.6: : Read, write, and evaluate numerical and algebraic expressions including expressions involving absolute value. Solve and graph equations of the form |x| = r where r is a non-negative rational number.

8.AR.EE.8: : Graph linear inequalities in two variables on a coordinate plane. Interpret the possible solutions in the context of authentic problems.

8.AR.F: : Functions: Learners will develop a foundational knowledge of functions and use them to model relationships between quantities.

8.AR.F.1: : Defend whether a relation is a function from various representations using appropriate function language.

8.AR.F.4: : Model 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.5: : Describe 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: : Geometry and Measurement: Learners will use visualization, spatial reasoning, geometric modeling, and measurement to investigate the characteristics of figures, perform transformations, and construct logical arguments.

8.GM.AV: : Area and Volume: Learners will use visualization and spatial reasoning to solve problems involving area, surface area, and volume of geometric figures.

8.GM.AV.1: : Apply given formulas to solve problems involving the volume of cones, cylinders, and spheres, including authentic problems.

8.GM.GF: : Geometric Figures: Learners will use visualization, spatial reasoning, and geometric modeling to investigate the characteristics of figures, perform transformations, and construct logical arguments.

8.GM.GF.1: : Perform single transformations to a figure on the coordinate plane and determine whether the figures are congruent or similar.

8.GM.GF.2: : Describe the characteristics of transformations on the coordinate plane using transformation language.

8.GM.GF.3: : Name the type of transformation(s) needed to map a pre-image to its image.

8.GM.GF.4: : Describe 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.5: : Describe 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.6: : Apply 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: : Data, Probability, and Statistics: Learners will ask and answer questions by collecting, organizing, and displaying relevant data, drawing inferences and conclusions, making predictions, and understanding and applying basic concepts of probability.

8.DPS.D: : Data Analysis: Learners will ask and answer questions by collecting, organizing, and displaying relevant data, drawing inferences and conclusions, and making predictions.

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.

8.DPS.D.2: : Draw 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.3: : Solve authentic problems in the context of bivariate measurement data by interpreting the slope and intercept(s) and making predictions using a linear model.

Correlation last revised: 12/17/2024

North Dakota - Mathematics: 8th Grade

Content Standards | Adopted: 2023

8.NO: : Number and Operations: Learners will develop a foundational understanding of the number system, operations, and computational fluency to create connections and solve problems within and across concepts.

8.AR: : Algebraic Reasoning: Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adopting approaches and solutions in novel situations.

8.GM: : Geometry and Measurement: Learners will use visualization, spatial reasoning, geometric modeling, and measurement to investigate the characteristics of figures, perform transformations, and construct logical arguments.

8.DPS: : Data, Probability, and Statistics: Learners will ask and answer questions by collecting, organizing, and displaying relevant data, drawing inferences and conclusions, making predictions, and understanding and applying basic concepts of probability.