### NQ: Number and Quantity

#### NQ.A: Extend and use properties of rational exponents.

NQ.A.1: Explain how the meaning of rational exponents extends from the properties of integer exponents.

#### NQ.B: Use units to solve problems.

NQ.B.1: Use units of measure as a way to understand and solve problems involving quantities.

NQ.B.1.b: Convert units and rates.

### SSE: Seeing Structure in Expressions

#### SSE.A: Interpret and use structure.

SSE.A.1: Interpret the contextual meaning of individual terms or factors from a given problem that utilizes formulas or expressions.

SSE.A.2: Analyze the structure of polynomials to create equivalent expressions or equations.

SSE.A.3: Choose and produce equivalent forms of a quadratic expression or equations to reveal and explain properties.

SSE.A.3.a: Find the zeros of a quadratic function by rewriting it in factored form.

SSE.A.3.b: Find the maximum or minimum value of a quadratic function by completing the square.

### CED: Creating Equations

#### CED.A: Create equations that describe linear, quadratic and exponential relationships.

CED.A.1: Create equations and inequalities in one variable and use them to model and/or solve problems.

CED.A.2: Create and graph linear, quadratic and exponential equations in two variables.

CED.A.3: Represent constraints by equations or inequalities and by systems of equations or inequalities, and interpret the data points as a solution or non-solution in a modeling context.

CED.A.4: Solve literal equations and formulas for a specified variable that highlights a quantity of interest.

### REI: Reasoning with Equations and Inequalities

#### REI.A: Understand solving equations as a process, and solve equations and inequalities in one variable.

REI.A.1: Explain how each step taken when solving an equation or inequality in one variable creates an equivalent equation or inequality that has the same solution(s) as the original.

REI.A.2: Solve problems involving quadratic equations.

REI.A.2.a: Use the method of completing the square to create an equivalent quadratic equation.

REI.A.2.c: Analyze different methods of solving quadratic equations.

#### REI.B: Solve systems of equations.

REI.B.1: Solve a system of linear equations algebraically and/or graphically.

REI.B.3: Justify that the technique of linear combination produces an equivalent system of equations.

#### REI.C: Represent and solve linear and exponential equations and inequalities graphically.

REI.C.1: Explain that the graph of an equation in two variables is the set of all its solutions plotted in the Cartesian coordinate plane.

REI.C.2: Graph the solution to a linear inequality in two variables.

REI.C.3: Solve problems involving a system of linear inequalities.

### APR: Arithmetic with Polynomials and Rational Expressions

#### APR.A: Perform operations on polynomials.

APR.A.1: Add, subtract and multiply polynomials, and understand that polynomials follow the same general rules of arithmetic and are closed under these operations.

APR.A.2: Divide polynomials by monomials.

### IF: Interpreting Functions

#### IF.A: Understand the concept of a function and use function notation.

IF.A.1: Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range.

IF.A.1.a: Represent a function using function notation.

IF.A.1.b: Understand that the graph of a function labeled 𝑓 is the set of all ordered pairs (𝑥, y) that satisfy the equation 𝑦=f(𝑥).

IF.A.2: Use function notation to evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

#### IF.B: Interpret linear, quadratic and exponential functions in terms of the context.

IF.B.1: Using tables, graphs and verbal descriptions, interpret key characteristics of a function that models the relationship between two quantities.

IF.B.2: Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.

IF.B.3: Determine the average rate of change of a function over a specified interval and interpret the meaning.

IF.B.4: Interpret the parameters of a linear or exponential function in terms of the context.

#### IF.C: Analyze linear, quadratic and exponential functions using different representations.

IF.C.1: Graph functions expressed symbolically and identify and interpret key features of the graph.

IF.C.2: Translate between different but equivalent forms of a function to reveal and explain properties of the function and interpret these in terms of a context.

IF.C.3: Compare the properties of two functions given different representations.

### BF: Building Functions

#### BF.A: Build new functions from existing functions (limited to linear, quadratic and exponential).

BF.A.1: Analyze the effect of translations and scale changes on functions.

### LQE: Linear, Quadratic and Exponential Models

#### LQE.A: Construct and compare linear, quadratic and exponential models and solve problems.

LQE.A.1: Distinguish between situations that can be modeled with linear or exponential functions.

LQE.A.1.a: Determine that linear functions change by equal differences over equal intervals.

LQE.A.1.b: Recognize exponential situations in which a quantity grows or decays by a constant percent rate per unit interval.

LQE.A.2: Describe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.

LQE.A.3: Construct linear, quadratic and exponential equations given graphs, verbal descriptions or tables.

#### LQE.B: Use arithmetic and geometric sequences.

LQE.B.1: Write arithmetic and geometric sequences in recursive and explicit forms, and use them to model situations and translate between the two forms.

LQE.B.2: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the set of integers.

LQE.B.3: Find the terms of sequences given an explicit or recursive formula.

### DS: Data and Statistical Analysis

#### DS.A: Summarize, represent and interpret data.

DS.A.1: Analyze and interpret graphical displays of data.

DS.A.2: Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets.

DS.A.3: Interpret differences in shape, center and spreads in the context of the data sets, accounting for possible effects of outliers.

DS.A.4: Summarize data in two-way frequency tables.

DS.A.4.a: Interpret relative frequencies in the context of the data.

DS.A.4.b: Recognize possible associations and trends in the data.

DS.A.5: Construct a scatter plot of bivariate quantitative data describing how the variables are related; determine and use a function that models the relationship.

DS.A.5.a: Construct a linear function to model bivariate data represented on a scatter plot that minimizes residuals.

DS.A.5: Construct an exponential function to model bivariate data represented on a scatter plot that minimizes residuals.

DS.A.6: Interpret the slope (rate of change) and the y-intercept (constant term) of a linear model in the context of the data.

DS.A.7: Determine and interpret the correlation coefficient for a linear association.

Correlation last revised: 9/16/2020

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