Precalculus Unit 4

Big Idea:

Student Expectations:

Focus TEKS

P.c.2.F- graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions;

P.c.2.G-graph functions, including exponential, logarithmic, sine, cosine, rational, polynomial, and power functions and their transformations, including af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d, in mathematical and real-world problems;

P.c.2.H- graph arcsin x and arccos x and describe the limitations on the domain;

P.c.2.I-determine and analyze the key features of exponential, logarithmic, rational, polynomial, power,trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing;

P.c.2.O-develop and use a sinusoidal function that models a situation in mathematical and real-world problems; and

P.c.2.P- determine the values of the trigonometric functions at the special angles and relate them in mathematical and real-world problems.

P.c.4.A-determine the relationship between the unit circle and the definition of a periodic function to evaluate trigonometric functions in mathematical and real-world problems;

P.c.4.B-describe the relationship between degree and radian measure on the unit circle;

P.c.4.C- represent angles in radians or degrees based on the concept of rotation and find the measure of reference angles and angles in standard position;

P.c.4.D-represent angles in radians or degrees based on the concept of rotation in mathematical and real-world problems, including linear and angular velocity;

P.c.4.E-determine the value of trigonometric ratios of angles and solve problems involving trigonometric ratios in mathematical and real-world problems;

P.c.4.F- use trigonometry in mathematical and real-world problems, including directional bearing;

P.c.4.G-use the Law of Sines in mathematical and real-world problems;

P.c.4.H- use the Law of Cosines in mathematical and real-world problems;

P.c.5.M-use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions; and

P.c.5.N- generate and solve trigonometric equations in mathematical and real-world problems.

Ongoing TEKS

P.c.2.E determine an inverse function, when it exists, for a given function over its domain or a subset of its domain and represent the inverse using multiple representations;

Student Learning Targets:

Essential Questions:

Extra Information:

Adopted Textbook:

District Grading Policy

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