Dept. of Mathematics Transitional Math Course Fall 2018 Instructor's Name: Jason Acevedo Tutoring Hours: Before school 6:30am, after school by appointment on Monday Office Phone: 815 577 5810 E-mail: jacevedo@psd202.org Course Description This course will provide students the opportunity to solve complex, multi-step algebraic problems in the context of authentic situations. The topic of functions and graphs will be stressed in each topic area. Topics studied include: lines, factoring, systems of equations, rational expressions, radicals, quadratics, and exponential functions. Appropriate technology will be used throughout with an emphasis on recognition of the level of precision required in different contexts Class Supplies Textbook Beginning & Intermediate Algebra 6 th Edition Elayn Martin-Gay, Publisher: Pearson Education, ISBN: 978-0-13-419617-6 Other Needed Materials Notebook or Binder and Loose Leaf Optional Aids MyMathLab Online resources Category Assignment Values Grading Scale Quizzes 15% 90-100% A Problem/Project-Based Tasks 10% 80-89% B Homework 5% 70-79% C Tests 50% 60-69% D Final Exam 20% 0-59% F A grade of C or better is required to earn proficiency credit for Math 098 at JJC, as well as to progress second semester. Math 126 Math for General Education Assessment guidelines: Six Tests (Lines, Functions and Systems, Factoring, Rational Expression, Radicals, Polynomial Functions) and a cumulative final exam. Rational expressions to be tested over two 50-minute exams. The topics of Exponentials may be assessed in a quiz or combined into an exam with additional topics incorporated at the discretion of the high school instructor Lowest Exam score can/will be replaced with the Final Exam There will be 1-2 Quizzes in each unit. Lowest quiz score will be dropped Does not apply to the Exponential Unit Assessment. Missed Exams or Quizzes are counted and recorded as zero points. Final exam score is never dropped. Exams are closed-book, closed-note, individual, proctored assessments. Exam will cover multiple objectives (i.e. a unit). Practice is due on the day of the quizzes, at the start of class. The lowest Practice Grade will be dropped. Problem/Project-Based Task are due on the given due date. Late, retake or redo homework, problem tasks, quizzes, or tests are not permitted.
Other course policies Graphing calculators are not permitted on exams. They may be used on projects at instructor discretion. Student work should follow proper mathematical notation (use of equal sign, notation involving exponents, etc.). Work should be organized and answers should include necessary units. Students should be encouraged to express final answers as an integer or fraction instead of decimal equivalents. Exceptions include if the original problem involved decimals or the problem scenario is appropriate to convey the answer in decimals (i.e. money). Answers should be exact unless specified to round. There is NO Extra Credit. Process standards The course emphasizes the mathematical practices necessary for success in a college course, particularly modeling. Mathematical understanding, communication, collaboration, authentic applications, and connections between concepts will be emphasized with procedural ability. The main emphasis of this course is the understanding of functions and how functions naturally arise through authentic modeling situations. Algebraic procedures are motivated with functions and modeling in rich, contextual problems or in the service of understanding functions and graphs of a particular function family. While a successful student can demonstrate the ability to solve complex, multi-step mathematical and contextualized problems, the content of the course is not always applicable to authentic contexts. In those cases, rich mathematical problems should be used so that students make deeper connections between numeric, algebraic, and/or graphic skills. Classroom Policies and Procedures There is to be no food or drink allowed in the classroom. Water in a clear bottle is ok. Cell phone use during class will also be prohibited, Cell phones will be confiscated. Refer to Electronic Devices on Page 32 of the PSHS Handbook. Attendance Policy/Make-up Policy If you are absent you are responsible for all missed work All missed tests and quizzes must be made up in a timely fashion, in accordance with the PSHS Handbook. If you are in school either arriving late or leaving early you are still responsible if work is due on the day, unless arraignments have been previously made with Mr. Acevedo Final Exam A comprehensive proctored final examination will be given. Academic Honor Code The objective of the academic honor code is to sustain a learning-centered environment in which all students are expected to demonstrate integrity, honor, and responsibility, and recognize the importance of being accountable for one s academic behavior. Any academic dishonesty will be reported to the college as well as be given a score of a zero. This score can not be dropped or replaced. Student Code of Conduct Each student is responsible for reading and adhering to the Student Code of Conduct as stated in the college catalog, as well as that of PSHS.
Content Standards LINES Identify dependent and independent variables in linear relationships and use this knowledge to model authentic situations. Understand the relationship between lines and their equations including slope. Graph a line using slope-intercept form of the linear equation. Determine the equation of a line from its graph and from the point-slope formula. Use graphs of lines to identify solutions to linear equations. Solve linear inequalities, expressing the solutions sets using interval notation and graphing solution sets on number lines, and interpret their solutions in context. Use and understand the slope criteria for parallel and perpendicular lines. FUNCTIONS AND SYSTEMS Understand the concept of a function and use function notation. Perform addition, subtraction, multiplication, division, and composition of functions. Interpret the dependent and independent variables in the context of functions. Create and interpret expressions for functions in terms of the situations they model including selecting appropriate domains for these functions. Understand the relationship between a function and its graph. Find the domain, including implied domains, and the range of a function. Analyze functions using different representations (verbal, graphic, numeric, algebraic). Solve applications and create models involving 2 x 2 systems of linear equations using both graphical and algebraic methods. Use linear inequalities and systems of linear inequalities in two unknowns to create models. Graphically identify solutions sets to linear inequalities or systems of inequalities. FACTORING Solve application problems and create models involving polynomial equations. Factor quadratic polynomials over the rational numbers and identify prime/irreducible polynomials over the rational numbers. Apply standard factoring techniques to polynomials (GCF, by grouping, trinomials, binomials). Solve equations by factoring. RATIONAL FUNCTIONS Solve applications and create models involving rational equations. Simplify rational expressions. Add, subtract, multiply, and divide rational expressions. Simplify complex fractions. Solve rational equations. Solve rational inequalities algebraically. RADICAL FUNCTIONS Solve applications and create models involving radical equations. Convert between radical and rational exponent notation. Simplify expressions involving radicals and rational exponents using appropriate exponent rules. Add, subtract, and multiply radicals. Rationalize numerators and denominators of rational expressions. Solve equations involving radical expressions. Add, subtract, multiply, and divide complex numbers. POLYNOMIAL FUNCTIONS Solve quadratic equations by factoring, completing the square, square root property, and the Quadratic Formula. Graph quadratic functions and be able to determine the quadratic function from the graph. Understand the relationship between zeros and factors of a polynomial of degree 2 and higher. Solve polynomial inequalities of degree 2 and higher. EXPONENTIAL FUNCTIONS Solve simple applications and create simple models involving exponential equations. Distinguish exponential growth from linear and polynomial growth. Graph and recognize the graph of exponential functions of the form f(x) = C b x. Solve simple exponential equations numerically. Solve simple exponential equations algebraically (optional). Graph logarithmic functions (optional). Write logarithmic functions using exponential notation and vice-versa (optional). Solve logarithmic equations using the equivalent exponential form (optional). Find the inverse of a given function (optional).
TOPICAL OUTLINE Chapter Topic Sections Objectives Pacing 6 Factoring Polynomials 6.1 6.7 1-3 3 weeks 7 Rational Expressions 7.1 7.7 4-7 3 weeks 8 9 10 More on Functions and Graphs Inequalities and Absolute Value Rational Exponents, Radicals and Complex Numbers 8.1, 8.2, 8.4 8-11 1.5 weeks 9.1 9.4 12-16 2 weeks 10.1 10.7 17-23 2.5 weeks 11 Quadratic Equations and Functions 11.1 11.3, 11.4 (quadratic inequalities only), 11.5 11.6 24 29 2 weeks 12 Exponential and Logarithmic Functions 12.1 12.3, 12.5 30-35 2 weeks