### NQ: Number and Quantity

#### NQ.A: Extend and use the relationship between rational exponents and radicals.

NQ.A.4: Solve equations involving rational exponents and/or radicals and identify situations where extraneous solutions may result.

#### NQ.B: Use complex numbers.

NQ.B.1: Represent complex numbers.

NQ.B.2: Add, subtract, multiply and divide complex numbers.

### SSE: Seeing Structure in Expressions

#### SSE.A: Define and use logarithms.

SSE.A.2: Use the inverse relationship between exponents and logarithms to solve exponential and logarithmic equations.

### REI: Reasoning with Equations and Inequalities

#### REI.A: Solve equations and inequalities.

REI.A.1: Create and solve equations and inequalities, including those that involve absolute value.

REI.A.2: Solve rational equations where numerators and denominators are polynomials and where extraneous solutions may result.

#### REI.B: Solve general systems of equations and inequalities.

REI.B.1: Create and solve systems of equations that may include non-linear equations and inequalities.

### APR: Arithmetic with Polynomials and Rational Expressions

#### APR.A: Perform operations on polynomials and rational expressions.

APR.A.1: Extend the knowledge of factoring to include factors with complex coefficients.

APR.A.2: Understand the Remainder Theorem and use it to solve problems.

APR.A.5: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial.

### IF: Interpreting Functions

#### IF.A: Use and interpret functions.

IF.A.1: Identify and interpret key characteristics of functions represented graphically, with tables and with algebraic symbolism to solve problems.

IF.A.2: Translate between equivalent forms of functions.

### BF: Building Functions

#### BF.A: Create new functions from existing functions.

BF.A.1: Create new functions by applying the four arithmetic operations and composition of functions (modifying the domain and range as necessary).

BF.A.2: Derive inverses of functions, and compose the inverse with the original function to show that the functions are inverses.

BF.A.3: Describe the effects of transformations algebraically and graphically, creating vertical and horizontal translations, vertical and horizontal reflections and dilations (expansions/compressions) for linear, quadratic, cubic, square and cube root, absolute value, exponential and logarithmic functions.

### FM: Modeling

#### FM.A: Use functions to model real-world problems.

FM.A.1: Create functions and use them to solve applications of quadratic and exponential function model problems.

### DS: Data and Statistical Analysis

#### DS.A: Make inferences and justify conclusions.

DS.A.1: Analyze how random sampling could be used to make inferences about population parameters.

DS.A.2: Determine whether a specified model is consistent with a given data set.

DS.A.3: Describe and explain the purposes, relationship to randomization and differences among sample surveys, experiments and observational studies.

DS.A.4: Use data from a sample to estimate characteristics of the population and recognize the meaning of the margin of error in these estimates.

DS.A.5: Describe and explain how the relative sizes of a sample and the population affect the margin of error of predictions.

DS.A.6: Analyze decisions and strategies using probability concepts.

#### DS.B: Fit a data set to a normal distribution.

DS.B.1: Know and use the characteristics of normally distributed data sets; predict what percentage of the data will be above or below a given value that is a multiple of standard deviations above or below the mean.

DS.B.2: Fit a data set to a distribution using its mean and standard deviation to determine whether the data is approximately normally distributed.

Correlation last revised: 9/16/2020

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