Students will be able to …

Writing recursive formulas for a given arithmetic or geometric sequence.

Finding the sum of a finite arithmetic or geometric series.

Finding the sum of an infinite geometric series.

Writing arithmetic and geometric series using sigma notation.

Expanding a binomial expression.

Students will be able to …

Distinguish non-trigonometric parent functions by their attributes.

Classify relations as even, odd, or neither.

Describe the end behavior of non-trigonometric functions.

Students will be able to …

Recognize zeros using the Intermediate Value Theorem.

Classify extrema from a graph.

Determine intervals on which functions are increasing, decreasing or constant.

List all real zeros of a polynomial.

Understand the relationship between a polynomial function, its attributes, and its graph.

Students will be able to …

Describe asymptotic behavior of a rational function.

Understand the relationship between a rational function, its attributes, and its graph.

Students will be able to …

Solve polynomial equations and determine the validity of the solution(s) in context.

Solve rational equations and determine the validity of the solution(s) in context.

Solve power equations and determine the validity of the solution(s) in context.

Students will be able to …

Apply properties of logarithms to analyze logarithmic expressions.

Solve exponential equations and determine the validity of the solution(s) in context.

Solve logarithmic equations and determine the validity of the solution(s) in context.

Manipulate literal equations to solve for a given variable.

Students will be able to …

Build and evaluate composite functions.

Model real-world applications using composite functions.

Decompose composite functions.

Write an inverse function when it exists.

Students will be able to …

Identify radian and degree measures on the unit circle.

List co-terminal angles.

Calculate the linear and angular velocity of a rotating object.

Recognize coordinate pairs of special angles (arc lengths) in the unit circle.

Understand the relationship between a coordinate pair and its trigonometric ratios.

Students will be able to …

Graph trigonometric parent functions.

Identify the attributes of trigonometric parent functions.

Understand the relationship between the equation of a transformed parent function and its graph.

Model real-world situations using sinusoidal functions.

Students will be able to …

Identify the attributes and graph inverse trigonometric functions.

Evaluate inverse trigonometric functions.

Evaluate compositions containing trigonometric functions and inverse trigonometric functions.

Students will be able to …

Recognize trigonometric identities.

Simplify trigonometric expressions using trigonometric identities.

Evaluate trigonometric expressions using trigonometric identities.

Verify the equality of two trigonometric expressions using trigonometric identities.

Students will be able to …

Solve trigonometric equations and determine the validity of the solution(s) in context.

Differentiate between general solutions and solutions over specified intervals.

Students will be able to …

Solve oblique triangles using Law of Sines in context.

Identify the ambiguous case and determine the number of triangles formed.

Solve oblique triangles using Law of Cosines in context.

Calculate the area of any triangle.

Students will be able to …

Represent points using the polar coordinate system.

Convert coordinates and equations between polar and rectangular.

Understand the relationship between a polar equation and its graph.

Solve systems of polar equations.

Convert complex numbers between polar and rectangular forms.

Perform operations with complex numbers in polar form.

Students will be able to …

Identify conic sections from a double-napped cone and the locus definition of the conic.

Understand the relationship between the equation of an ellipse, its attributes, and its graph.

Understand the relationship between the equation of a hyperbola, its attributes, and its graph.

Graph parametric equations.

Understand the relationship between rectangular and parametric forms of equations.

Solve real-world applications involving projectile motion.

Solve systems of parametric equations.