The
learner will be able to use interval notation, graphical notation, and set
notation to describe sets of numbers.
The
learner will be able to distinguish between relations and functions.
The
learner will be able to find the domain and range of any function by using
their graph or by their algebraic expression.
The
learner will be able to use the DMS system to measure angles.
The
learner will be able to classify triangles by side lengths and angles.
The
learner will be able to know the signs of all 6 trigonometric functions in
each of the 4 quadrants.
The
learner will know and be able to use the Pythagorean identities to solve
trigonometric equations.
The
learner will be able to use cofunctions to determine acute angles.
The
learner will be able to use special right triangles to find an angle’s 6
trigonometric values.
The
learner will be able to find any trigonometric function for any obtuse or
acute angle.
The
learner will be able to use arc length as a means to using radians.
The
learner will be able to find the area of a sector.
The
learner will be able to find linear and angular velocity.
The
learner will be able to graph all 6 trigonometric functions with their
appropriate translations and transformations i.e. phase shifts, period
changes, vertical stretches and shifts, asymptotes, etc.
The
learner will be able to use the reciprocal, quotient, negative angle, and
Pythagorean identities.
The
learner will be able to verify trigonometric statements by substituting and
manipulating variables.
The
learner will be able to use the sum & difference, double angle, and
half angle identities of the sine, cosine, and tangent.
The
learner will be able to use the inverse trigonometric functions to find
angles.
The
learner will be able to solve trigonometric equations by using adjusted
ranges, inverses, and the quadratic formula.
The
learner will be able to use the Law of Cosines and the Law of Sines.
The
learner will be able to identify and adapt to the ambiguous case for the
Law of Sines.
The
learner will be able to use Heron’s formula.
The
learner will be able to graph complex numbers on the complex plane.
The
learner will be able to convert from rectangular to trigonometric form.
The
learner will be able to use the product and quotient theorem of complex
numbers.
The
learner will be able to use DeMoivre’s Theorem.
