Course Discipline and



GAVILAN cOLLEGE

cURRICULUM dEVELOPMENT

|form C |

|Modify or Inactivate an Existing Course |

|Date: |09/10/09 |Prepared & Submitted by: |Marla Dresch, Ken Wagman, Elena Dachkova |

|Department: |Natural Science |Course Discipline and Number: |Math 402 - PreAlgebra |

|1. |What is the effective term? |

| |Fall Spring Summer Academic Year: 2010 |

|2. | Inactivate Course(s): (Inactivating a course will remove it from the course catalog. Courses may be re-activated by updating the course |

| |and bringing it back to the Curriculum Committee for approval. Transferable courses will need to be re-articulated, should you decide to |

| |reactivate the course.) |

| |           |

| |Reason for inactivation:       |

|3. | Modification of the following: (Attach existing course outline, note changes as appropriate. Update Prerequisite/Advisory Form, if |

| |appropriate ) |

| Number | Hours | Prerequisite/Advisory | Discipline |

| Title | Units | Description | Content |

| Grading | GE Applicability | Repeatability | Transferability |

| General Update | Reinstate Course | Cross list course with       |

| Other (please describe.) Change the class from graded to Pass/No Pass. Credit will be given to students who achieve mastery level |

|learning. |

|FROM: |Math 402 |PreAlgebra |3 |3 |1 |

| |Discipline & Number |Course Title |Units |Lec |Lab |

| | | | |Hours per |Hours per |

| | | | |week |week |

|TO: |Math 402 |PreAlgebra |3 |3 |1 |

| |Discipline & Number |Course Title |Units |Lec |Lab |

| | | | |Hours per |Hours per |

| | | | |week |week |

|Reason for modification: Students who take Math 205 after taking Math 402 have a very poor chance of passing Math 205 if the grade received |

|in Math 402 was a B+ or less. (Students receiving a B+ have a better chance of passing Math 205 if they take Math 205A and 205B.) |

|4. |Will this course be offered via distance education? Yes No |

| |If yes, fill out Form D – Distance Education form. |

|5. |Routing/Recommendation for Approval |

| | |Signatures | | |Approval |

| |Dept. Approval (Chair Sign) | |Date | |Yes ___ |No ___ |

| |Area Dean | |Date | |Yes ___ |No ___ |

| |Curriculum Committee Chair | |Date | |Yes ___ |No ___ |

| |VP of Instruction | |Date | |Yes ___ |No ___ |

| |Superintendent/President For District | | | |Yes ___ |No ___ |

| |Board | | | | | |

| |CCC Chancellor’s Office | | Date | |Yes ___ |No ___ |

| |(if applicable) | | | | | |

GAVILAN COLLEGE

CURRICULUM DEVELOPMENT

|COURSE OUTLINE | |

|DISCIPLINE: |MATH 402 |DEPARTMENT: |Natural Science |

| |(Discipline and Number) | | |

|COURSE TITLE: |PreAlgebra |

(Maximum of 58 spaces)

|ABBREVIATED TITLE: |PREALGEBRA |

(Maximum of 28 spaces)

|SEMESTER UNITS: 3 |LEC HOURS PER WEEK: 3 |LAB HOURS PER WEEK: 1 |

|Classification: |Non Credit Category: |Occupational Code (SAM): |

|TOP Code: 0000.00 |LEH Factor:       |FTE Load:       |

CATALOG DESCRIPTION:

No Change

This course covers operations with integers, fractions and decimals and associated applications, percentages, ratio, and geometry and measurement, critical thinking and applications. Elementary algebra topics such as variables, expressions, and solving equations are introduced. This is a Pass/No Pass course where Pass is given for mastery of the above topics.

COURSE REQUISITES:

List all prerequisites separated by AND/OR, as needed. Also fill out and submit the Prerequisite/Advisory form.

No Change

Replaces existing Advisory/Prerequisite

In addition to existing Advisory/Prerequisite

Prerequisite: Receive a Pass or C or better in Math 400

Co-requisite:      

Advisory:      

GRADING SYSTEM:

Select only one: No Change

Standard Letter grade

Pass/ No Pass

Option of a standard letter grade or pass/no pass

Non Credit

REPEATABLE FOR CREDIT:

(Note: Course Outline must include additional skills that will be acquired by repeating this course.)

No Change

Credit Course Yes No If yes, how many times? 1 2 3

Non Credit Course Yes No If yes, how many times? 1 2 3 Unlimited

(Noncredit only)

STAND ALONE:

No Change

Yes (Course is NOT included in a degree or certificate program)

No (Course is included in a degree or certificate program)

METHODS OF INSTRUCTION:

No Change      

RECOMMENDED OR REQUIRED TEXT/S:

(The following information must be provided: Author, Title, Publisher, Year of Publication, Reading level and Reading level verification)

Recommended Required N/A

|Author: Martin-Gaye |Title: PreAlgebra |Publisher: Prentice Hall |Year of Publication: 2008 |

|ISBN: (if available)       |Reading level of text: 12 grade |Verified by: Marla Dresch |

|or other appropriate college level text. |

|Other textbooks or materials to be purchased by the student:       |

STUDENT LEARNING OUTCOMES:

1. Complete this section in a manner that demonstrates student’s use of critical thinking and reasoning skills. These include the ability to formulate and analyze problems and to employ rational processes to achieve increased understanding. Reference Bloom's Taxonomy of action verbs.

2. List the Type of Measures that will be used to measure the student learning outcomes, such as written exam, oral exam, oral report, role playing, project, performance, demonstration, etc

3. Identify which Institutional Learning Outcomes (ILO) apply to this course. List them, by number, in order of emphasis. For example: "2, 1" would indicate Cognition and Communication.

(1) Communication, (2) Cognition, (3) Information Competency, (4) Social Interaction, (5) Aesthetic Responsiveness, (6) Personal Development & Responsibility, (7) Content Specific.

4. For GE courses, enter the GE Learning Outcomes for this course. For example "A1, A2". GE Learning Outcomes are listed below.

|1) Student Learning Outcomes |2) Measure |3) Institutional |4) GE Learning Outcome |

| | |Learning Outcome |(only required if GE |

| | | |applicable) |

|Perform basic operations with whole numbers, integers, fractions and |Measure: Quiz, homework, |ILO: 2, 1 |GE-LO:       |

|decimals without the aid of a calculator |exams, labwork | | |

|Analyze a variety of problems, decide on a correct method or strategy of |Measure: Quiz, homework, |ILO: 2, 1 |GE-LO:       |

|solution, implement the strategy to solve the problem, and evaluate solution|exams, labwork | | |

|to determine if it is reasonable using estimation skills | | | |

|Simplify algebraic expressions and solve equations involving integers, |Measure: Quiz, homework, |ILO: 2, 1 |GE-LO:       |

|fractions and decimals without the aid of a calculator. |exams, labwork | | |

|Develop and utilize math specific study skills and test-taking strategies. |Measure: labwork, |ILO: 2, 1, 6 |GE-LO:       |

| |homework, quiz, and exams | | |

|Set up and solve applied problems involving proportion, ratio, unit |Measure: Quiz, homework, |ILO: 2, 1 |GE-LO:       |

|conversion, and percents. |exams, labwork | | |

|Compute area, volume and perimeter of basic geometric figures. |Measure: Quiz, homework, |ILO: 2, 1 |GE-LO:       |

| |exams, labwork | | |

|Understand basic geometric properties involving lines, angles, and other |Measure: Quiz, homework, |ILO: 2, 1 |GE-LO:       |

|geometric figures and use these properties to solve problems. |exams, labwork | | |

|      |Measure:       |ILO:       |GE-LO:       |

|      |Measure:       |ILO:       |GE-LO:       |

|      |Measure:       |ILO:       |GE-LO:       |

GENERAL EDUCATION LEARNING OUTCOMES

AREA A Communications in the English Language

After completing courses in Area A, students will be able to do the following:

1. Receive, analyze, and effectively respond to verbal communication.

2. Formulate, organize and logically present verbal information.

3. Write clear and effective prose using forms, methods, modes and conventions of English grammar that best achieve the writing’s purpose.

4. Advocate effectively for a position using persuasive strategies, argumentative support, and logical reasoning.

5. Employ the methods of research to find information, analyze its content, and appropriately incorporate it into written work.

6. Read college course texts and summarize the information presented.

7. Analyze the ideas presented in college course materials and be able to discuss them or present them in writing.

8. Communicate conclusions based on sound inferences drawn from unambiguous statements of knowledge and belief.

9. Explain and apply elementary inductive and deductive processes, describe formal and informal fallacies of language and thought, and compare effectively matters of fact and issues of judgment and opinion.

AREA B Physical Universe and its Life Forms

After completing courses in Area B, students will be able to do the following:

1. Explain concepts and theories related to physical and biological phenomena.

2. Identify structures of selected living organisms and relate structure to biological function.

3. Recognize and utilize appropriate mathematical techniques to solve both abstract and practical problems.

4. Utilize safe and effectives laboratory techniques to investigate scientific problems.

5. Discuss the use and limitations of the scientific process in the solution of problems.

6. Make critical judgments about the validity of scientific evidence and the applicability of scientific theories.

7. Utilize appropriate technology for scientific and mathematical investigations and recognize the advantages and disadvantages of that technology.

8. Work collaboratively with others on labs, projects, and presentations.

9. Describe the influence of scientific knowledge on the development of world’s civilizations as recorded in the past as well as in present times.

AREA C Arts, Foreign Language, Literature and Philosophy

After completing courses in Area C, students will be able to do the following:

1. Demonstrate knowledge of the language and content of one or more artistic forms: visual arts, music, theater, film/television, writing, digital arts.

2. Analyze an artistic work on both its emotional and intellectual levels.

3. Demonstrate awareness of the thinking, practices and unique perspectives offered by a culture or cultures other than one’s own.

4. Recognize the universality of the human experience in its various manifestations across cultures.

5. Express objective and subjective responses to experiences and describe the integrity of emotional and intellectual response.

6. Analyze and explain the interrelationship between self, the creative arts, and the humanities, and be exposed to both non-Western and Western cultures.

7. Contextually describe the contributions and perspectives of women and of ethnic and other minorities.

AREA D Social, Political, and Economic Institutions

After completing courses in Area D, students will be able to do the following:

1. Identify and analyze key concepts and theories about human and/or societal development.

2. Critique generalizations and popular opinion about human behavior and society, distinguishing opinion and values from scientific observation and study.

3. Demonstrate an understanding of the use of research and scientific methodologies in the study of human behavior and societal change.

4. Analyze different cultures and their influence on human development or society, including how issues relate to race, class and gender.

5. Describe and analyze cultural and social organizations, including similarities and differences between various societies.

AREA E Lifelong Understanding and Self-Development

After completing courses in Area E, students will be able to do the following:

1. Demonstrate an awareness of the importance of personal development.

2. Examine the integration of one’s self as a psychological, social, and physiological being.

3. Analyze human behavior, perception, and physiology and their interrelationships including sexuality, nutrition, health, stress, the social and physical environment, and the implications of death and dying.

AREA F Cultural Diversity

After completing courses in Area F, students will be able to do the following:

1. Connect knowledge of self and society to larger cultural contexts.

2. Articulate the differences and similarities between and within cultures.

Content, Student Performance Objectives, and *Out-of-Class Assignments:

|HOURS |*e.g., essays, library research, problems, projects required outside of class on a 2 to 1 basis for Lecture units granted. |

|3 lec, |CONTENT: Review Order of operations, adding/subtracting positive/negative numbers. |

|1 lab Hours |Orientation to math lab and other tutorial sources of help on campus |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to evaluate a numerical expression involving whole numbers, add and |

| |subtract integers and solve application problems without a calculator. |

|3 lec, |CONTENT: Multplying/dividing and order of ops with integers |

| |Introduce concept of variables. |

|1 lab Hours |Math study skills, test taking strategies |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to add/subtract, multiply/divide integers, evaluate a numerical |

| |expression involving integers without a calculator and solve application problems. Students will also be able to simplify |

| |simple algebraic expressions. |

|3 lec, |CONTENT: Simplifying algebraic expressions, solving equations |

|1 lab Hours |Exam #1 - Integers. |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to simplify algebraic expressions and solve simple equations involving |

| |integers without a calculator. |

|3 lec, |CONTENT: Simplifying fractions, mixed numbers vs. improper fractions. Multiplying and dividing fractions. |

| |Fraction Group Project |

|1 lab Hours |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to simplify fractions, convert between mixed numbers and improper |

| |fractions, and multiply/divide fractions without a calculator.CONTENT: finding LCD, adding/subracting fractions, order of |

| |operations |

| |Review of operations with fractions - fraction worksheet |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to find the LCD of two or more fractions, add/subtract fractions and |

| |evaluate numerical expressions involving fractions without the use of a calculator, and solve application problems. |

|3 lec, |CONTENT: Simplifying complex fractions, simplifying expressions involving fractions and solving equations with fractions |

| |Fraction project |

|1 lab Hours |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to simplify complex fractions and algebraic expressions involving |

| |fractions and solve simple equations involving fractions without the use of a calculator, and solve application problems.. |

|3 lec, |CONTENT: Review of adding/subtracting, multiplying/dividing decimals, order of operations with decimals. |

| |Decimal Project |

|1 lab Hours |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to add/subtract, multiply/divide and evaluate numerical expressions with |

| |decimals without a calculator. |

|3 lec, |CONTENT: Converting between fractions and decimals, equations with decimals, Exam #2 - fractions and decimals |

| |Review fractions and decimals |

|1 lab Hours |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to work with a combination of fractions and decimals, and solve equations|

| |with fractions and/or decimals without a calculator. |

|3 lec, |CONTENT: Ratios, Rates and Proportion, applications of proportions including similar and contruent triangles. |

| |Proportion Project |

|1 lab Hours |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to simplify a ratio, compute a rate, determine proportionality and solve |

| |a proportion and solve applications of proportions, including similar triangles. |

|3 lec, |CONTENT: Ratios, Rates and Proportion, applications of proportions including similar and contruent triangles. |

| |Proportion Project |

|1 lab Hours |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to simplify a ratio, compute a rate, determine proportionality and solve |

| |a proportion and solve applications of proportions, including similar triangles. |

|3 lec, |CONTENT: Review of Percentage/fraction/decimal, Solving percentage problems |

|1 lab Hours |Percentage/Fraction/Decimal project |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to express a percentage as a fraction and/or decimal and vice-versa, |

| |solve a basic percentage problem using a variety of methods. |

|3 lec, |CONTENT: Applications of percentages such as sales tax, mark up and discount and percentage increase/decrease. |

| |Percentage group project |

|1 lab Hours |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to set up and solve a application problem involving percentages. |

|3 lec, |CONTENT: Exam #3 - ratio, proportions and percentages, Introduction to basic geometry such as measurement of angles, lines, |

| |parallel/intersection lines, |

|1 lab Hours |Practice Test, Prepare for Exam |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to identify parallel lines, right angles, acute/obtuse angles, and draw |

| |an angle with a given measurement. |

|3 lec, |CONTENT: Linear measurement, Metric vs. english, perimeter |

|1 lab Hours |Geometry project |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to compute perimeter of basic geometric objects and convert between |

| |english and metric measurement systems. |

|3 lec, |CONTENT: Measurement of area, volume, weight and mass |

|1 lab Hours |Metric vs. English measurement activity |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will be able to compute area and volume of basic geoemetric figures and convert |

| |between english and metric measurement systems |

|3 lec, |CONTENT: Exam #4 - geometry and measurement, Review for final exam |

|1 lab Hours |Practice final exam |

| |HOMEWORK: Assigned reading and problems, lab assignment. |

| |STUDENT PERFORMANCE OBJECTIVES: Student will review semesters work and prepare for the final exam. |

|2 Hours |final exam |

METHODS OF EVALUATION:

|CATEGORY 1 - The types of writing assignments required: |

|Percent range of total grade:       % to       % |

| Written Homework |

| Reading Reports |

| Lab Reports |

| Essay Exams |

| Term or Other Papers |

| Other:       |

|If this is a degree applicable course, but substantial writing assignments are not appropriate, indicate reason: |

| Course is primarily computational |

| Course primarily involves skill demonstration or problem solving |

|CATEGORY 2 -The problem-solving assignments required: |

|Percent range of total grade: 90 % to 100 % |

| Homework Problems |

| Field Work |

| Lab Reports |

| Quizzes |

| Exams |

| Other: Projects, study skills assessment |

|CATEGORY 3 -The types of skill demonstrations required: |

|Percent range of total grade:       % to       % |

| Class Performance/s |

| Field Work |

| Performance Exams |

|CATEGORY 4 - The types of objective examinations used in the course: |

|Percent range of total grade: 5 % to 10 % |

| Multiple Choice |

| True/False |

| Matching Items |

| Completion |

| Other:      |

|CATEGORY 5 - Any other methods of evaluation: |

|Percent range of total grade:       % to       % |

|      |

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