Active Outline

General Information

Course ID (CB01A and CB01B)
MATHD242.
Course Title (CB02)
Academic Excellence in Precalculus II
Course Credit Status
Credit - Not Degree Applicable
Effective Term
Fall 2023
Course Description
This course allows students to critically think and provides skills reinforcement in a trigonometry setting, which includes cooperative learning/study techniques, concept development, and the use of technology.
Faculty Requirements
Course Family
Not Applicable

Course Justification

This is a stand-alone course. Precalculus courses serve as gatekeepers to the Calculus sequence required in many majors. This course provides supplemental instruction for Precalculus II students who could benefit from additional practice in the Precalculus II course content.

Foothill Equivalency

Does the course have a Foothill equivalent?
No
Foothill Course ID

Course Philosophy

Formerly Statement

Course Development Options

Basic Skill Status (CB08)
Course is not a basic skills course.
Grade Options
  • Letter Grade
  • Pass/No Pass
Repeat Limit
0

Transferability & Gen. Ed. Options

Transferability
Not transferable

Units and Hours

Summary

Minimum Credit Units
1.0
Maximum Credit Units
1.0

Weekly Student Hours

TypeIn ClassOut of Class
Lecture Hours0.00.0
Laboratory Hours3.00.0

Course Student Hours

Course Duration (Weeks)
12.0
Hours per unit divisor
36.0
Course In-Class (Contact) Hours
Lecture
0.0
Laboratory
36.0
Total
36.0
Course Out-of-Class Hours
Lecture
0.0
Laboratory
0.0
NA
0.0
Total
0.0

Prerequisite(s)

Corequisite(s)

MATH D042. or MATH D042H

Advisory(ies)

ESL D272. and ESL D273., or ESL D472. and ESL D473., or eligibility for EWRT D001A or EWRT D01AH or ESL D005.

Limitation(s) on Enrollment

Entrance Skill(s)

General Course Statement(s)

Methods of Instruction

Concept exploration, problem solving and skill development activities using computer assisted instruction software;

Group discussion and problem-solving performed in class;

Problem solving and concept exploration using collaborative learning and small groups;

Problem solving and exploration activities using graphing calculators

Assignments

  1. Students will use computer aided instruction to review prerequisite concepts from algebra and build skills
  2. Students will complete worksheets comprised of problems taken from the Precalculus II curriculum
  3. Students will keep a notebook of problems, alternative solutions, and develop a synthesis of problem-solving techniques

Methods of Evaluation

  1. Participation in computer aided instruction sessions. Students will be evaluated on satisfactory completion of computer problems as well as accuracy of solutions.
  2. Active participation in small group and collaborative activities. Evaluation of active participation will be based upon effective collaboration in writing group solutions and presentation of solutions to the class.
  3. Satisfactory completion of worksheet problems. Evaluation of student solutions will be based upon effective participation in group solutions and presentation of solutions to the class.
  4. Final submission of student notebook with problems, alternative solutions and problem solving techniques. Notebooks will be evaluated on inclusion of group problems from the class.

Essential Student Materials/Essential College Facilities

Essential Student Materials: 
  • Graphing calculator, tutorial software
Essential College Facilities:
  • Computer laboratory

Examples of Primary Texts and References

AuthorTitlePublisherDate/EditionISBN
Webassign access code for Larson, Precalculus with Limits; 4th. Edition; Brooks-Cole/Cengage Learning; 2018
Instructor-generated problem worksheets

Examples of Supporting Texts and References

AuthorTitlePublisher
Larson, Precalculus with Limits; 3d. Edition; Brooks-Cole/Cengage Learning; 2014

Learning Outcomes and Objectives

Course Objectives

  • Review prerequisite algebra skills and practice course skills through computer aided instruction
  • Demonstrate mastery of prerequisite algebra skills
  • Analyze problems based on the Precalculus II curriculum in a group setting, verbalizing both concepts and solution strategies
  • Develop mathematical self-confidence
  • Create working relationships with other students
  • Integrate the use of technology into problem solving

CSLOs

  • Formulate, construct, and evaluate trigonometric models to analyze periodic phenomena, identities, and geometric applications.

  • Communicate concepts and solutions for problems both verbally and in writing.

Outline

  1. Review prerequisite algebra skills and practice course skills through computer aided instruction
    1. identify algebra skills in which the student is proficient or deficient
    2. provide, through computer aided instruction, concept review and skills development in deficient skills
    3. develop course skills through practice using computer aided instruction, emphasizing:
      1. definition and evaluation of trigonometric functions using both degree and radian measure
      2. solution of oblique and right triangles
      3. solution of arc length and sector area problems
      4. graphs and analysis of the six trigonometric functions
      5. using trigonometric identities to evaluate trigonometric expressions and verify other identities
      6. analysis of the inverse trigonometric functions
      7. solution of trigonometric equations
      8. examination of 2-D vectors
      9. examination of conditional and bi-conditional statements as they appear in mathematical statements
  2. Demonstrate mastery of prerequisite algebra skills
    1. through demonstrated performance on skills assessments
    2. through application of appropriate skills to problem solving situations
  3. Analyze problems based on the Precalculus II curriculum in a group setting, verbalizing both concepts and solution strategies
    1. Explain the problem and possible solution techniques
    2. Organize the information and data
    3. Analyze proposed solution techniques
    4. Compare and evaluate outcomes
  4. Develop mathematical self-confidence
    1. through successful synthesis of concepts
    2. through successful development of valid problem solving strategies
    3. through development of critical thinking skills
    4. through recognition of the variety of valid approaches to a problem
  5. Create working relationships with other students
    1. through collaborative learning activities
    2. through discussion of various approaches to problem solving
    3. through debate of the relative merits of each suggested approach
  6. Integrate the use of technology into problem solving
    1. by using calculators and computers in the exploration of concepts
    2. by using calculators as tools in problem solving
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