Precalculus Unit 2

Big Idea:

Student Expectations:

Focus TEKS

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.J - analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems;

P.c.3.F- determine the conic section formed when a plane intersects a double-napped cone;

P.c.3.G-make connections between the locus definition of conic sections and their equations in rectangular coordinates;

P.c.3.H- use the characteristics of an ellipse to write the equation of an ellipse with center (h, k);

P.c.3.I- use the characteristics of a hyperbola to write the equation of a hyperbola with center (h, k).

P.c.5.J-solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems;

P.c.5.H-generate and solve logarithmic equations in mathematical and real-world problems;

Ongoing TEKS

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.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;

A2.c.3.B- solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution;

A2.c.4.D-transform a quadratic function f(x) = ax² + bx + c to the form f(x) = a(x - h)² + k to identify thedifferent attributes of f(x);

A2.c.7.A- add, subtract, and multiply complex numbers;

A2.c.7.C- determine the quotient of a polynomial of degree three and of degree four when divided by a polynomial of degree one and of degree two;

A2.c.8.B- use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data;

Student Learning Targets:

Essential Questions:

Extra Information:

Adopted Textbook:

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