NQ: Number and Quantity

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

NQ.A.3: Add, subtract, multiply and divide radical expressions.

 Operations with Radical Expressions

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

 Operations with Radical Expressions
 Radical Functions

NQ.B: Use complex numbers.

NQ.B.1: Represent complex numbers.

 Points in the Complex Plane

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

 Points in the Complex Plane

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.

 Exponential Functions

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.

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Arithmetic Sequences
 Exploring Linear Inequalities in One Variable
 Geometric Sequences
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Solving Two-Step Equations
 Using Algebraic Equations

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.

 Linear Programming
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)
 Systems of Linear Inequalities (Slope-intercept form)

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.

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

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

 Dividing Polynomials Using Synthetic Division

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

 Graphs of Polynomial Functions
 Modeling the Factorization of x2+bx+c
 Polynomials and Linear Factors
 Quadratics in Factored Form
 Quadratics in Vertex Form

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.

 Absolute Value with Linear Functions
 Exponential Functions
 General Form of a Rational Function
 Graphs of Polynomial Functions
 Introduction to Exponential Functions
 Linear Functions
 Logarithmic Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Radical Functions

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

 Introduction to Functions
 Points, Lines, and Equations

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).

 Addition and Subtraction of Functions

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

 Logarithmic Functions

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.

 Absolute Value with Linear Functions
 Exponential Functions
 Introduction to Exponential Functions
 Quadratics in Vertex Form
 Translating and Scaling Functions
 Translations
 Zap It! Game

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.

 Exponential Functions
 Introduction to Exponential Functions
 Quadratics in Polynomial Form

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.

 Polling: City
 Polling: Neighborhood
 Populations and Samples

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

 Describing Data Using Statistics
 Polling: City
 Polling: Neighborhood

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.

 Polling: City
 Polling: Neighborhood

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

 Polling: City
 Polling: Neighborhood

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

 Estimating Population Size
 Probability Simulations
 Theoretical and Experimental Probability

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.

 Polling: City

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.

 Polling: City
 Populations and Samples
 Real-Time Histogram
 Sight vs. Sound Reactions

Correlation last revised: 4/4/2018

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