North Dakota

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Skills available for North Dakota high school math standards

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North Dakota Content Standards (adopted in 2023): Algebra 1 North Dakota Content Standards (adopted in 2023): Algebra 1
North Dakota Content Standards (adopted in 2023): Algebra 2 North Dakota Content Standards (adopted in 2023): Algebra 2
North Dakota Content Standards (adopted in 2023): Fourth Courses North Dakota Content Standards (adopted in 2023): Fourth Courses
North Dakota Content Standards (adopted in 2023): Geometry North Dakota Content Standards (adopted in 2023): Geometry
North Dakota Content Standards (adopted in 2023): Mathematical Practices North Dakota Content Standards (adopted in 2023): Mathematical Practices
North Dakota Content Standards: Algebra 1 North Dakota Content Standards: Algebra 1
North Dakota Content Standards: Algebra 2 North Dakota Content Standards: Algebra 2
North Dakota Content Standards: Fourth Courses North Dakota Content Standards: Fourth Courses
North Dakota Content Standards: Geometry North Dakota Content Standards: Geometry
North Dakota Content Standards (Common Core) North Dakota Content Standards (Common Core)

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North Dakota

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9-10.NO Number and Operations

9-10.NO.1 Explain how the definition of rational exponents follows from extending the properties of integer exponents; rewrite simple expressions involving radicals and rational exponents using the properties of exponents.

9-10.NO.2 Perform basic operations on simple radical expressions to write a simplified equivalent expression.

9-10.NO.3 Choose and interpret the scale and the units in graphs and data displays.

9-10.NO.4 Define appropriate quantities and units for the purpose of descriptive modeling.

9-10.NO.5 Choose a level of accuracy or precision appropriate to limitations on measurement when reporting quantities.

Checkpoint opportunity

9-10.AR Algebraic Reasoning

9-10.AR Algebraic Reasoning

9-10.AR.1 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it.

9-10.AR.2 Rearrange formulas to isolate a quantity or variable(s) of interest using the same reasoning as in solving equations.

9-10.AR.3 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, and exponential functions.

9-10.AR.4 Create linear and exponential equations in two or more variables to represent relationships between quantities. Graph equations on coordinate axes with appropriate labels and scales.

9-10.AR.5 Justify each step in solving a linear equation that may or may not have a solution.

9-10.AR.6 Solve linear equations and inequalities (to include compound inequalities) in one variable.

9-10.AR.7 Solve a system of linear equations graphically and algebraically. Create and solve a system of linear equations in context.

9-10.AR.8 Graph the solution set to a two-variable system of linear inequalities. Create and graph the solution set to a two-variable system of linear inequalities in context.

Checkpoint opportunity

9-10.AR.9 Solve absolute value equations and inequalities in one or two variables.

9-10.AR.10 Solve quadratic equations in one variable by inspection (e.g., for x2 = 49), taking square roots, the quadratic formula, and factoring, as appropriate to the initial form of the equation.

9-10.AR.11 Add, subtract, and multiply polynomials.

9-10.AR.F Functions

9-10.AR.F.1 Determine whether a relationship is a function given a table, graph, or words, identifying x as an element of the domain and f(x) as an element in the range. Determine the domain and range of a function in context.

9-10.AR.F.2 Use function notation, evaluate functions for inputs in their domains and interpret statements that use function notation in context.

9-10.AR.F.3 Sketch the key features (to include intercepts, maximums, minimums, and lines of symmetry, where applicable) of linear, exponential, and quadratic functions modeling the relationship between two quantities using tables, graphs, written descriptions, and equations.

9-10.AR.F.4 Relate the domain of a linear, quadratic, or exponential function to its graph and, where applicable, to the quantitative relationship it describes.

Checkpoint opportunity

9-10.AR.F.5 Calculate and interpret the rate of change of linear, quadratic, or exponential functions (presented algebraically or as a table) over specified intervals. Estimate the rate of change from a graph.

Checkpoint opportunity

9-10.AR.F.6 Write a function defined by an expression in different but equivalent forms to reveal and explain the different properties of the function.

9-10.AR.F.6.a Use appropriate forms of linear, quadratic, and exponential functions to show zeros, extreme values, and symmetry (where applicable) and interpret them in context.

9-10.AR.F.6.b Use the properties of an exponential function to classify it as growth or decay.

9-10.AR.F.7 Compare key features of two linear, exponential, or quadratic functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

9-10.AR.F.8 Identify situations that can be modeled with linear, quadratic, and exponential functions. Justify the most appropriate model for a situation based on the rate of change over equal intervals. Include situations in which a quantity grows or decays.

9-10.AR.F.9 Identify the effect of transformations on the graph of a linear, absolute value, or quadratic function by replacing f(x) with af(x), f(x - h), and f(x) + k, for specific values of a, h, and k (both positive and negative). Find the value of a, h, and k given the graph of the function.

9-10.AR.F.10 Find the inverse of a linear function and describe the relationship between the domain, range, and graph of the function and its inverse in context.

9-10.AR.F.11 Interpret the parameters in a linear, quadratic, or exponential function in context.

9-10.AR.F.12 Identify, using graphs or tables, the solution(s) to linear and exponential functions f(x) = g(x) as x-value(s) that result in equivalent y-values.

Checkpoint opportunity

9-10.DPS Data, Probability, and Statistics

9-10.DPS.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).

9-10.DPS.2 Compare the center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets using statistics appropriate to the shape of the data distribution.

9-10.DPS.3 Represent data on two quantitative variables on a scatter plot and describe how the variables are related.

9-10.DPS.3.a Fit a linear function to the data (with or without technology) if appropriate.

9-10.DPS.3.b Compute (using technology) and interpret the correlation coefficient of a linear fit.

9-10.DPS.3.c Interpret the meaning of the slope and y-intercept of the linear model in context.

9-10.DPS.3.d Interpolate and extrapolate the linear model to predict values.

9-10.DPS.4 Distinguish between correlation and causation.

Checkpoint opportunity

9-10.AR.10 Solve quadratic equations in one variable by inspection (e.g., for x² = 49), taking square roots, the quadratic formula, and factoring, as appropriate to the initial form of the equation.