### 1: Perform the vector operations of addition, scalar multiplication, and absolute value.

#### 1.1: Determining coincidence, parallelism, collinearity, or perpendicularity of vectors

Adding Vectors

Vectors

#### 1.2: Using vectors to model real-life and mathematical situations

Adding Vectors

Vectors

### 3: Graph conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from second-degree equations.

#### 3.1: Formulating equations of conic sections from their determining characteristics

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

### 5: Analyze the effects of parameter changes on the graphs of trigonometric, logarithmic, and exponential functions.

#### 5.1: Determining the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Functions

### 7: Solve trigonometric equations and inequalities using sum, difference, and half-and double-angle identities.

#### 7.1: Verifying trigonometric identities

Simplifying Trigonometric Expressions

### 9: Solve applied problems involving sequences with recurrence relations.

#### 9.1: Determining characteristics of arithmetic and geometric sequences and series, including those defined with recurrence relations, first terms, common differences or ratios, nth terms, limits, or statements of convergence or divergence

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

### 10: Find limits of functions at specific values and at infinity numerically, algebraically, and graphically.

#### 10.1: Applying limits in problems involving convergence and divergence

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

### 11: Convert coordinates, equations, and complex numbers in Cartesian form to polar form and from polar form to Cartesian form.

#### 11.2: Graphing polar coordinates and complex numbers

Complex Numbers in Polar Form

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Points in Polar Coordinates

Points in the Complex Plane - Activity A

### 12: Determine the equation of a curve of best fit from a set of data by using exponential, quadratic, or logarithmic functions.

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratics in Factored Form

Roots of a Quadratic

Correlation last revised: 3/17/2015