OUTCOMES BASED LEARNING MATRIX

Course: MATH204 Precalculus Department: Mathematics

Course Description: This course continues the mathematics preparation for successful completion of Calculus. Topics include the operation and use of graphing utilities, the properties and graphs of rational functions, one-to-one and inverse functions, exponential and logarithmic functions, and trigonometric functions.

Prerequisite: C- or better in College Algebra (MATH203) or waiver by placement testing results or Departmental Approval

COURSE OUTCOMES	OUTCOMES ACTIVITIES	ASSESSMENT TOOLS
At the end of this course, students will be able to
Use a graphing utility in order to apply these skills to further topics and problems in mathematics and related courses.	1. Use the graphing function of a graphing utility. (CT,TS) 2. Find zeros, points of intersection, extreme values and functional values. (CT,TS) 3. Use the table function of a graphing utility. (CT,TS)	1. In-class problems (CT,QS,R) 2. Written quiz (CT,QS,R) 3. Written exam (CT,QS,R) 4. Homework assignments (CT,QS,R) 5. Group projects (CT,QS,R) 6. Hand-in assignments (CT,QS,R) 7. Mediated learning (R,CT,QS,TS,W)
Graph rational functions in order to apply these skills to further topics and problems in mathematics and related courses.	1. Find the domain of a rational function. (CT,QS,R) 2. Find horizontal, vertical, and slant asymptotes. (CT,QS,R) 3. Graph a rational function. (CT,QS,R,TS) 4. Solve rational inequalities. (CT,QS,R,TS) 5. Evaluate the difference quotient for rational functions. CT,QS,R)	1. In-class problems (CT,QS,R) 2. Written quiz (CT,QS,R) 3. Written exam (CT,QS,R) 4. Homework assignments (CT,QS,R) 5. Group projects (CT,QS,R) 6. Hand-in assignments (CT,QS,R) 7. Mediated learning (R,CT,QS,TS,W)
Demonstrate knowledge of one-to-one and inverse functions in order to apply these skills to further topics and problems in mathematics and related courses.	1. Determine whether a function is one-to-one. (CT,QS,R) 2. Find the inverse of a function algebraically and graphically. (CT,QS,R,TS) 3. Verify that two functions are inverses of each other algebraically and graphically. (CT,QS,TS) 4. Find the domain and range of a function and its inverse. (CT,QS,TS) 5. Sketch the graph of a function and its inverse. (CT,TS)	1. In-class problems (CT,QS,R) 2. Written quiz (CT,QS,R) 3. Written exam (CT,QS,R) 4. Homework assignments (CT,QS,R) 5. Group projects (CT,QS,R) 6. Hand-in assignments (CT,QS,R) 7. Mediated learning (R,CT,QS,TS,W)
Demonstrate knowledge of logarithmic and exponential functions in order to apply these skills to further topics and problems in mathematics and related courses.	1. Evaluate and graph exponential and logarithmic functions. (CT,QS,R,TS) 2. Convert between logarithmic and exponential forms. (CT,QS,R) 3. Use the change-of-base formula to rewrite and evaluate logarithmic functions with different bases. (CT,QS,R,TS) 4. Use properties of logarithms to evaluate, rewrite, expand or condense logarithmic expressions. (CT,QS,R) 5. Solve exponential and logarithmic equations. (CT,QS,R,TS) 6. Solve applied problems using exponential and logarithmic functions. (CT,QS,R,TS,W)	1. In-class problems (CT,QS,R) 2. Written quiz (CT,QS,R) 3. Written exam (CT,QS,R) 4. Homework assignments (CT,QS,R) 5. Group projects (CT,QS,R) 6. Hand-in assignments (CT,QS,R) 7. Mediated learning (R,CT,QS,TS,W)
Demonstrate knowledge of the trigonometric functions in order to apply these skills to further topics and problems in mathematics and related courses.	1. Convert between degree and radian measure. (CT,QS,R,TS) 2. Evaluate trigonometric functions of any angle. (CT,QS,R,TS) 3. Determine the domain, range, and period of a trigonometric function. (CT,QS,R) 4. Sketch the graphs of the six trigonometric functions. (CT,QS,R,TS) 5. Determine the period, amplitude, phase shift, and graph of a sinusoidal function. (CT,QS,R) 6. Use trigonometric identities. (CT,QS,R) 7. Evaluate inverse trigonometric functions. (Ct,QS,R,TS) 8. Solve trigonometric equations. (CT,QS,R,TS) 9. Use trigonometric functions to model and solve real-life problems. (CT,QS,R,TS,W) 10. OPTIONAL: Use the Law of Sines and the Law of Cosines. (CT,QS,R,TS)	1. In-class problems (CT,QS,R) 2. Written quiz (CT,QS,R) 3. Written exam (CT,QS,R) 4. Homework assignments (CT,QS,R) 5. Group projects (CT,QS,R) 6. Hand-in assignments (CT,QS,R) 7. Mediated learning (R,CT,QS,TS,W)
Strengthen Core Competencies** in order to increase success in this and other courses and in the workplace.	Referenced above	Referenced above

**Indicate the Core Competencies that apply to the outcomes activities and assessment tools: Critical Thinking (CT); Technology Skills (TS); Oral Communications (OC); Quantitative Skills (QS); Reading (R); Writing (W).