## Precalculus Syllabus

 Subject PRECALCULUS Nine Week Q1 Standard Classify real numbers and order real numbers that include transcendental expression, including roots and fractions of pi and e Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression, add, subtract, multiply, and divide rational expressions Perform arithmetic operations with complex numbers expressing answers in the form a+bi Find the conjugate of a complex number , se conjugates to find moduli and quotients of complex numbers Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of segment as the average of the numbers at its endpoints Represent complex numbers on the complex plane in rectangular and polar form, explain why the rectangular and polar forms of a given complex number represent the same number Extend polynomial identities to the complex numbers Know the Fundamental Theorem of Algebra, show that it is true for quadratic polynomials Objectives Categorize real numbers and understand their properties Give meaning of exponential and radical exponents Apply properties and perform operations of polynomials and rational expressions Solve polynomial equations and inequalities, interpreting correctness of solutions Apply properties of polynomials to solve real world problems Define functions and model the functions by graphing Applying transformations to functions in order to predict their graph Develop new functions by combining functions Determine inverse of function and describe its behavior Topics Prerequisite review of algebra 2 skills Fundamentals of algebra and applications Functions behavior and descriptions Major Assignment/s 9 weeks exam 6 chapter exams 12 quizzes Instructional Materials PRECALCULUS MATHEMATICS FOR CALCULLUS 6E, by James Stewart TI 84 GRAPHING CALCULATOR Field Trip/s NONE