### 1: Determine the relationships among the subsets of complex numbers.

Points in the Complex Plane - Activity A

### 2: Simplify expressions involving complex numbers, using order of operations and including conjugate and absolute value.

Absolute Value of a Complex Number

Points in the Complex Plane - Activity A

### 3: Analyze families of functions, including shifts, reflections, and dilations of y = k/x (inverse variation), y = kx (direct variation/linear), y = x² (quadratic), y = a to the x power (exponential), and y = log to base a of x (logarithmic).

#### 3.1: Identifying the domain and range of a relation given its graph, a table of values, or its equation, including those with restricted domains

Distance-Time Graphs

Functions Involving Square Roots

Introduction to Functions

Using Tables, Rules and Graphs

### 4: Determine approximate real zeros of functions graphically and numerically and exact real zeros of polynomial functions.

#### 4.1: Using completing the square, the zero product property, and the quadratic formula

Roots of a Quadratic

### 5: Identify the characteristics of quadratic functions from their roots, graphs, or equations.

#### 5.1: Writing an equation when given its roots or graph

Polynomials and Linear Factors

#### 5.2: Graphing a function when given its equation

Function Machines 2 (Functions, Tables, and Graphs)

#### 5.3: Determining the nature of the solutions of a quadratic equation

Roots of a Quadratic

#### 5.4: Determining the maximum or minimum values of quadratic functions both graphically and algebraically

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

### 6: Perform operations on functions, including addition, subtraction, multiplication, division, and composition.

#### 6.1: Determining the inverse of a function or a relation

Function Machines 3 (Functions and Problem Solving)

#### 6.2: Performing operations on polynomial and rational expressions containing variables

Addition of Polynomials - Activity A

Dividing Exponential Expressions

#### 6.3: Constructing graphs by analyzing their functions as sums or differences

Addition and Subtraction of Polynomials

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Using Tables, Rules and Graphs

### 7: Solve equations, inequalities, and applied problems involving absolute values, radicals, and quadratics over the complex numbers, as well as exponential and logarithmic functions.

#### 7.2: Expressing the solution of an equation, inequality, or applied problem as a graph on a number line or by using set or interval notation

Compound Inequalities

Function Machines 2 (Functions, Tables, and Graphs)

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

### 10: Use different forms of representation to compare characteristics of data gathered from two populations.

#### 10.2: Describing how sample statistics reflect values of population parameters

Polling: City

Polling: Neighborhood

### 11: Determine an equation of linear regression from a set of data.

#### 11.1: Examining data to determine if a linear or quadratic relationship exists and to predict outcomes

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Quadratics in Factored Form

Roots of a Quadratic

### 12: Calculate probabilities of events using the laws of probability.

#### 12.1: Using permutations and combinations to calculate probabilities

Binomial Probabilities

Permutations

Permutations and Combinations

#### 12.3: Calculating probabilities of mutually exclusive events, independent events, and dependent events

Compound Independent Events

Compound Independent and Dependent Events

Correlation last revised: 3/17/2015