| 9/28/2023 5:25:36 PM |
| Inactive Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 70 | Title:
PRECALCULUS ENRICHMENT |
|
| Full Title:
Precalculus Problem Solving Enrichment |
| Last Reviewed:4/8/2013 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 1.00 | Lecture Scheduled | .50 | 17.5 max. | Lecture Scheduled | 8.75 |
| Minimum | 1.00 | Lab Scheduled | 1.50 | 17.5 min. | Lab Scheduled | 26.25 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 2.00 | | Contact Total | 35.00 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 17.50 | Total Student Learning Hours: 52.50 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade or P/NP
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
Catalog Description:
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Critical thinking for mathematics using precalculus concepts: cooperative learning study techniques, concept development and use of technology. The instructor will serve as a facilitator to student groups working collaboratively on provided problem sets of topics from Math 25, 27 and 58.
Prerequisites/Corequisites:
Concurrent enrollment in one of the following courses: MATH 25, 27 or 58.
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Critical thinking for mathematics using precalculus concepts: cooperative learning study techniques, concept development and use of technology. The instructor will serve as a facilitator to student groups working collaboratively on provided problem sets of topics from Math 25, 27 and 58.
(Grade or P/NP)
Prerequisites:Concurrent enrollment in one of the following courses: MATH 25, 27 or 58.
Recommended:
Limits on Enrollment:
Transfer Credit:
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
| Associate Degree: | Effective: | | Inactive: | |
| Area: | | |
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| CSU GE: | Transfer Area | | Effective: | Inactive: |
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| IGETC: | Transfer Area | | Effective: | Inactive: |
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| CSU Transfer: | | Effective: | | Inactive: | |
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| UC Transfer: | | Effective: | | Inactive: | |
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| C-ID: |
Certificate/Major Applicable:
Not Certificate/Major Applicable
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon completion of course, students will be able to:
1. Apply critical thinking skills to precalculus topics: analytic
geometry, algebraic functions, trigonometric functions, complex
numbers, vectors, and sequences and series
2. Discuss non-routine and open-ended precalculus problems in
collaborative teams, verbalizing concepts, solution strategies
and constructing written solutions
3. Compare and contrast different approaches to problems; discuss
the relative merit of each method
4. Use technology to solve applied mathematical problems
5. Develop collaborative working relationships with other students
6. Select appropriate problem solving strategies for a given
application
7. Adapt general problem solving techniques to a specific application
8. Analyze different forms of solutions to determine which are equivalent
9. Organize a portfolio of problem-solving situations and related
solutions
Topics and Scope
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I. Functions and graphs
A. Graphs and graphing utilities
B. Functions and notation
C. Graphs and transformations (reflections and translations)
D. Combinations of functions
E. Inverse functions
F. Modeling
II. Intercepts, zeros and solutions
A. Linear equations and modeling
B. Solving equations graphically and algebraically
C. Solving inequalities graphically and algebraically
III. Polynomial and rational functions
A. Polynomial functions of high degree
B. Complex and real zeros
C. Fundamental theorem of algebra
D. Rational functions, graphs and asymptotes
IV. Exponential and logarithmic functions
A. Graphs of exponential and logarithmic functions
B. Properties of logarithmic functions
C. Solving equations
D. Applications
V. Trigonometric functions
A. Radian and degree measures
B. Trigonometric functions and the unit circle
C. Graphs of trigonometric functions
D. Inverse trigonometric functions
E. Applications of trigonometry functions
F. Identities and equations involving trigonometric functions
VI. Triangles
A. Solutions of right triangles and oblique triangles
B. Laws of sines and cosines
VII. Vectors in the plane
A. Geometric and analytic definitions
B. Vector operations (sum, difference, scalar multiplication,
dot products)
VIII. Discrete topics
A. Sequences (arithmetic and geometric)
B. Series and summation notation
C. Finite and infinite geometric series
Assignments:
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1. Homework problem sets (5-16)
2. Oral and written presentations of mathematical problems and solutions (5-16)
3. Portfolio (0-1) of assignment sets and solutions
4. Oral and written tests (0-5)
Methods of Evaluation/Basis of Grade.
| Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. | Writing
0 - 0% |
| None | |
| This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course. |
|
| Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills. | Problem Solving
60 - 100% |
| Homework problems; oral and written presentations | |
| Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations
0 - 0% |
| None | |
| Exams: All forms of formal testing, other than skill performance exams. | Exams
0 - 20% |
| Objective examinations (multiple choice, true/False or completion) | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 20% |
| Portfolio of assignments | |
Representative Textbooks and Materials:
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Instructor prepared materials
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