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Mahomet-Seymour Schools

Curriculum

Mathematics - Trigonometry

 

Trigonometry

 

 

 

  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 co-functions to determine acute angles.

 

The learner will be able to use special right triangles to find an angleís 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 Heronís 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 DeMoivreís Theorem.

 

 

 

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