Expected Outcome

MnTC
Goal Area

Understand slope, how to write the equation of a line, parallel and perpendicular lines.

Graph the trigonometric functions

Understand the use of graphing calculators in solving equations and inequalities graphically.

Understand the different types of symmetry.

Understand analytically the equation of a circle and its relation to center and radius.

Apply the distance formula and midpoint formula to coordinate geometry.

Understand the Law of Sines and the Law of Cosines and their applications in problem solving.

Understand the ideas of both trigonometric identity and algebraic identity.

Understand linear velocity and angular velocity, and the relationship between them.

Model harmonic motion using the sine and cosine functions.

Understand polar coordinates, graphs of polar equations, polar forms of complex numbers, and vectors.

Solve linear and quadratic inequalities.

Understand geometric, arithmetic, and harmonic sequences.

Understand sequence and summation notation.

Understand the graphs of the three conic sections.

Apply the concepts of direct variation and inverse variation to real life applications

Solve trigonometric equations.

Understand how the double angle identities are used to develop the power identities and the half angle identities.

Understand the addition and subtraction identities and how they are used to develop the double angle identities.

Understand that the secant, cosecant and cotangent functions are inverses of cosine, sine, and tangent functions, respectively.

Apply transformations to functions (horizontal shifts, vertical shifts, reflections, stretching and shrinking)

Understand the meaning of Increasing and Decreasing functions and the idea of Average Rate of Change

Understand the concept of a function and to be able to graph "basic function" with pencil and paper

Graph and model parametric equations

Apply the concept of maxima and minima to a function

Understand the idea of a composition of function and looking at complex functions as compositions of simpler functions

Apply right triangle trigonometry to real life problems

Understand the development of the sine, cosine, and tangent function from a unit circle approach

Model real life applications with equations

Understand the concept of an even and odd function

Understand the idea of combining functions (sum, difference, product, and quotient)

Understand exponential functions and that their inverse functions are logarithmic functions

Simplify algebraic expression and factor trinomials

Graph rational functions and understand the concept of horizontal and vertical asymptotes

Understand the Fundamental Theorem of Algebra

Divide polynomials and apply synthetic division when dividing by a linear polynomial

Understand rational exponents and their relation to radicals

Understand the laws of logarithms and apply them to solving exponential and logarithmic equations

Solve quadratic equations by factoring, completing the square, and quadratic formula

Sketch the graph of both exponential and logarithmic functions

Understand polynomial functions and their graphs and the idea of a zero of the polynomial

Understand the concept of a one-to-one function and its inverse.