Gizmos for North Dakota - Mathematics: 7th 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.

7.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.

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

7.NO.NS.1: : Describe the absolute value of a number as its distance from zero on a number line.

7.NO.NS.2: : Recognize common fractions and decimal equivalencies up to a denominator of 10. Convert a rational number to a decimal using technology.

7.NO.O: : Operations: Learners will expand their computational fluency to create connections and solve problems within and across concepts.

7.NO.O.1: : Add, subtract, multiply, and divide integers using visual models and properties of operations in multi-step problems, including authentic problems.

7.NO.O.2: : Add, subtract, multiply, and divide nonnegative fractions in multi-step problems, including authentic problems.

7.NO.O.3: : Add, subtract, multiply, and divide nonnegative decimals to the hundredth place in multistep problems using strategies or procedures, including authentic problems.

7.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.

7.AR.RP: : Ratios and Proportional Relationships: Learners will use ratios, rates, and proportions to model relationships and solve problems.

7.AR.RP.1: : Calculate unit rates associated with ratios of rational numbers, including ratios of lengths, areas, and other quantities measured in like or different units.

7.AR.RP.2: : Analyze the relationship between the dependent and independent variables of a proportional relationship using graphs and tables. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, k) where k is the unit rate.

7.AR.RP.3: : Identify the constant of proportionality in tables, graphs, equations, diagrams, and descriptions of proportional relationships. Represent proportional relationships by an equation of the form y = kx, where k is the constant of proportionality, and describe the meaning of each variable (y, k, x) in the context of the situation.

7.AR.RP.4: : Use proportional relationships to solve multi-step problems involving ratios, percents, and scale drawings of geometric figures, including authentic problems.

7.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.

7.AR.EE.1: : Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions involving variables, integers, and/or nonnegative fractions and decimals with an emphasis on writing equivalent expressions.

7.AR.EE.2: : Write and solve equations of the form px + q = r and p(x + q) = r, including authentic problems.

7.AR.EE.3: : Write and solve one- or two-step inequalities where coefficients and solutions are integers and/or non-negative fractions and decimals, including authentic problems. Graph the solution set of the inequality and interpret it in the context of the problem.

7.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.

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

7.GM.AV.1: : Describe the relationship between the circumference and diameter of a circle (pi). Apply given formulas to calculate the area and circumference of a circle, including authentic problems.

7.GM.AV.2: : Calculate areas of polygons by composing and/or decomposing them into rectangles and triangles, including authentic problems. Solve problems involving the surface area of prisms and right pyramids using nets, including authentic problems.

7.GM.AV.3: : Solve problems involving the volume of prisms and composite solids, including authentic problems.

7.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.

7.GM.GF.1: : Draw triangles from given conditions using appropriate tools. Defend whether a unique triangle, multiple triangles, or no triangle can be constructed when given three measures of angles or sides.

7.GM.GF.2: : Describe the following angle-pair relationships: supplementary angles, complementary angles, vertical angles, and adjacent angles. Solve for an unknown angle in a figure by applying facts about these angles.

7.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.

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

7.DPS.D.1: : Identify the strengths and weaknesses of a population sample including bias in the process of the data collection.

7.DPS.D.2: : Analyze and draw inferences about a population using single and multiple random samples by using given measures of center and variability for the numerical data set.

7.DPS.P: : Probability: Learners will understand and apply basic concepts of probability.

7.DPS.P.1: : Develop a probability model to find probabilities of theoretical events and contrast probabilities from an experimental model.

7.DPS.P.2: : Develop a probability model to find theoretical probabilities of independent compound events.

Correlation last revised: 12/17/2024

North Dakota - Mathematics: 7th Grade

Content Standards | Adopted: 2023

7.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.

7.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.

7.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.

7.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.