## Description

- Overview:
- Mathematics Scales for ND Mathematics prioritized by ND high schools teachers.

- Subject:
- Mathematics, Algebra
- Level:
- High School
- Material Type:
- Assessment
- Author:
- Kelli Graber
- Date Added:
- 05/16/2019

- License:
- Creative Commons Attribution Non-Commercial Share Alike
- Language:
- English
- Media Format:
- Text/HTML

## Standards

Learning Domain: Arithmetic with Polynomials and Rational Expressions

Standard: Add, subtract, and multiply polynomials. Understand that polynomials form a system comparable to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication

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Learning Domain: Creating Equations and Inequalities

Standard: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

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Learning Domain: Creating Equations and Inequalities

Standard: Create equations in two or more variables to represent relationships between quantities. Graph equations on coordinate axes with appropriate labels and scales.

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Learning Domain: Creating Equations and Inequalities

Standard: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

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Learning Domain: Reasoning with Equations and Inequalities

Standard: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane

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Learning Domain: Reasoning with Equations and Inequalities

Standard: Graph the solutions to a linear inequality in two variables as a half-plane. Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes

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Learning Domain: Reasoning with Equations and Inequalities

Standard: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters

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Learning Domain: Reasoning with Equations and Inequalities

Standard: Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions. (+) Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

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Learning Domain: Reasoning with Equations and Inequalities

Standard: Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables.

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Learning Domain: Seeing Structure in Expressions

Standard: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a. Factor a quadratic expression to reveal the zeros of the function it defines. b. Complete the square in a quadratic expression to produce an equivalent expression. c. Use the properties of exponents to transform exponential expressions.

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Learning Domain: Interpreting Functions

Standard: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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Learning Domain: Interpreting Functions

Standard: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and quadratic functions and show intercepts, maxima, and minima where appropriate. b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. d. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. e. Graph exponential and logarithmic functions, showing intercepts and end behavior. f. Graph f(x) = sin x and f(x) = cos x as representations of periodic phenomena. g. (+) Graph trigonometric functions, showing period, midline, phase shift and amplitude.

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Learning Domain: Interpreting Functions

Standard: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions

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Learning Domain: Linear, Quadratic, and Exponential Models

Standard: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a table, a description, or two input-output pairs given their relationship.

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Learning Domain: The Real Number System

Standard: Perform basic operations on radicals and simplify radicals to write equivalent expressions

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Learning Domain: Interpreting Categorical and Quantitative Data

Standard: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. Interpolate and extrapolate the linear model to predict values.

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