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