Course Discipline and



GAVILAN COLLEGE

CURRICULUM DEVELOPMENT

|NEW COURSE PROPOSAL - SECOND READING |

|Date: |2/4/13 |Prepared & Submitted by: |Marla Dresch |

|Department: |Nat. Sci/Math |Course Discipline and Number: |Math 430 |

|1. |Anticipated first term of offering: Fall Spring Summer Year: 2013 |

|2. Suggested discipline, number, title, units, lecture and/or lab hours: |

|Math |430 |      |Algebra I |5 |5 |      |      |

|Discipline |Course Number |TOP Code |Course Title |Units |Lecture |Lab hours |Recommended |

| | | | | |hours per |per week |LEH Factor |

| | | | | |week | | |

Course Numbering System:

0-99 Transfer & Degree Appropriate 99, 199, 299 Emergency, One Term, Special Topics Course

100-198 Degree Appropriate & Potential Transfer 300s Non Degree, Non Transfer Occupational

200-298 Associate Degree Appropriate & Non Transfer 400s Developmental courses

500s Special Populations (see College Catalog for complete descriptions) 600s Adult Education

700s Non Credit

3. Course Catalog Description:

This is the first course of algebra. It will cover simplifying algebraic expressions, linear equations and inequalities, linear functions and their graphs, systems of equations, polynomials, factoring, rational expressions, and applications of all of the above.

4. Justification of recommendation for new course: (e.g. requirement for major’s sequence, general education, trends in field or scholarship, etc. List agencies, groups, resources consulted to determine need, i.e., State Boards, advisory committees, surveys, other colleges’ offerings, etc.)

The math department is rewriting the Algebra sequence to reduce repetition of topics between beginning and intermediate algebra and to align itself with the Integrated Math class, Math 235.

5. Proposed Grading System:

[pic] [pic]

[pic] [pic]

6. Will course be Repeatable?

Additional skills that will be acquired by repeating this course must be included in the course outline.

a. Credit course - Yes No If yes, how many times? 1 2 3

b. Non credit course - Yes No If yes, how many times? 1 2 3 Unlimited (Non credit only)

7. Is this a stand alone course?

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

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

8. Course Requisites:

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

Prerequisite: Math 402 with a grade "Pass", Math 411 or Math 205A with a C or better, or assessment test recomendation

Co-requisite:      

Advisory:      

9. Does this course focus on basic skills in English, ESL or Math?

No

Yes If yes,

Proposed 6 Digit TOP code      

Prior to College Code (A, B, C, D, E, F, G, H, Y)      

10. Will this course be offered via Distance Education? Yes No

If yes, fill out and submit form D - "Distance Education."

Internet-based:

Course development software, such as Moodle

Other      

Hybrid

Video conference

Telecourse

Other      

11. Does this course meet the cultural diversity requirement? Yes No

If Yes, please indicate which criteria apply. At least two criteria must be selected and evidenced in the course content section and at least one Student Learning Outcome must apply to cultural diversity.

This course promotes understanding of:

Cultures and subcultures

Cultural awareness

Cultural inclusiveness

Mutual respect among diverse peoples

Familiarity with cultural developments and their complexities

SLO #      

12. What resources will be needed in order to offer this class at Gavilan?

a. Staffing: none

b. Facility Usage: yes

c. Supplies and equipment (include cost estimates): none

d. Tutoring Center resources, if applicable: yes

e. Can existing library resources at Gavilan accommodate student needs for this class?

Yes No Verified by:       (Verbal verification of Librarian is adequate.)

If no, list additional resources necessary & budget estimate.

     

f. Can existing computer software, hardware, and other technological resources at

Gavilan accommodate student’s needs for this class? Yes No N/A

If no, list additional resources necessary & budget estimate.      

13. If degree applicable, is a similar course offered at community colleges or 4 year colleges & universities?

| Yes No | | |Upper or |Units |

| | | |Lower Div |Sem/Qtr |

|      |      |      | U L |      |

|Discipline & No |Title |College or Univ. | | |

|      |      |      | U L |      |

|Discipline & No |Title |College or Univ. | | |

|      |      |      | U L |      |

|Discipline & No |Title |College or Univ. | | |

14. If degree applicable, please complete the following information on articulation recommendations. See College Articulation Officer for assistance.

14A. Transfer: Would you recommend that this be a course that transfers to:

State Universities and Colleges Yes No

University of California Yes No

Will the course satisfy a major requirement at CSU or UC?

If so, complete the following:

|      |at |      |Required for |      |

|Course Title & No. | | CSUC or UC Campus | |Program or Major |

|      |at |      |Required for |      |

|Course Title & No. | | CSUC or UC Campus | |Program or Major |

|      |at |      |Required for |      |

|Course Title & No. | | CSUC or UC Campus | |Program or Major |

14B. General Education: Would you recommend that this be a course that satisfies the GE requirement in the following:

| |Natural |Social |Humanities/Art |Lifelong |Commun |Math/ |American |Cultural |

| |Science |Science | |Learning | |Quantitative |Institutions |Diversity |

|AA/AS/GE Degree | | | | | | | | |

|CSU G.E. | | | | | | | | |

|UC Transfer/GE | | | | | | | | |

|IGETC | | | | | | | | |

(Note that definitions of areas that can be counted in UC or CSU vary. Be sure to ask for assistance if needed.)

15. Second Reading - Routing/Recommendation for Approval:

Signatures

Department Approval

(Dept. Chair signature) _________________________________________ Date __________________

Area Dean _________________________________________ Date __________________

Curriculum Committee Chair _________________________________________ Date __________________

Head Librarian (if applicable) _________________________________________ Date __________________

Distance Education _________________________________________ Date __________________

Coordinator (if applicable)

16. Approval:

Vice President of

Instruction _________________________________________ Date __________________

President _________________________________________ Date __________________

GAVILAN COLLEGE

CURRICULUM DEVELOPMENT

|COURSE OUTLINE |Course Discipline and #Math 430 |

|DISCIPLINE: |MATH 430 |DEPARTMENT: |Nat.Sci/Math |

| |(Name and Number) | | |

|COURSE TITLE: |Algebra I |

(Maximum of 60 spaces)

|ABBREVIATED TITLE: |ALGEBRA I |

(Maximum of 30 spaces)

|SEMESTER UNITS: 5 |LEC HOURS PER WEEK: 5 |LAB HOURS PER WEEK:       |

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

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

CATALOG DESCRIPTION:

This is the first course of algebra. It will cover simplifying algebraic expressions, linear equations and inequalities, linear functions and their graphs, systems of equations, polynomials, factoring, rational expressions, and applications of all of the above.

COURSE REQUISITES:

(List all prerequisites and advisories separated by AND/OR, as needed. Attach Validation Form.)

Prerequisite: Math 402 with a grade of "Pass",Math 411 or Math 205A with a C or better, or assesment test recomendation

Co-requisite:      

Advisory:      

PROPOSED GRADING SYSTEM:

[pic] [pic]

[pic]

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

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

REPEATABLE FOR CREDIT:

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

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)

METHODS OF INSTRUCTION:

Lecture, group work

RECOMMENDED OR REQUIRED TEXT/S:

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

Required: Recommended: n/a

Author: Blitzer Title: Introductory and Intermediate Algebra Publisher: Pearson/Prentice Hall, 4th Ed. Year of Publication: 2013

or other appropriate college level text.

ISBN: 978-0-32178010-2 (if available)

Reading level of text, Grade: 12th Verified by: Ken Wagman

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 Program Learning Outcomes (PLO) are aligned with this course. List them by number in order of emphasis.

4. Identify which Institutional Learning Outcomes (ILO) are aligned with 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.

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

6. Indicate when the course was last assessed.

If the course will be program applicable, copy and paste the appropriate Program Learning Outcomes (PLO) and number them. Indicate which PLO(s) are addressed by each Student Learning Outcome.

     

Student Learning Outcomes:

Indicate by number which Program Learning Outcomes, Institutional Learning Outcomes and GE Learning Outcomes are supported by each of the Student Learning Outcomes.

|1. |Simplify and evaluate algebraic expressions. Solve linear equations and inequalities in one variable including compound inequalities. Evaluate and |

| |solve formulas. Analyze and solve problems involving applictions of linear equations and inequalities in one variable. |

| |Measure: Quizzes, exams, |PLO:       |ILO: 2,7 |GE-LO: B3, B8 |Year Assessed:       |

| |projects and/or homework | | | | |

|2. |Graph linear functions and inequalities in two variables. Determine slope, y-intercept, x-intercept and other information from either the graph, |

| |given the equation, or other information about the line. Utilize the graphs in problem solving. Solve systems of equations and inequalities in two |

| |and three variables algebraically, Solve systems of equations in two variables graphically. Analyze and solve problems involving applications of |

| |linear equations, linear inequalities, and systems of linear equations in two variables. |

| |Measure: Quizzes, exams, |PLO:       |ILO: 2,7 |GE-LO: B3, B8 |Year Assessed:       |

| |projects and/or homework | | | | |

|3. |Add/subtract, multiply and divide polynomials and numbers in scientific notation. Simplify exponential expressions using properties of exponents. |

| |Solve application problems in all of the above. |

| |Measure: Quizzes, exams, |PLO:       |ILO: 2,7 |GE-LO: B3, B8 |Year Assessed:       |

| |projects and/or homework | | | | |

|4. |Identify and implement the appropriate strategy for factoring polynomials. Solve polynomial equations by factoring, set up and solve application |

| |problems involving polynomials and quadratic equations. |

| |Measure: Quizzes, exams, |PLO:       |ILO: 2,7 |GE-LO: B3, B8 |Year Assessed:       |

| |projects and/or homework | | | | |

|5. |Simplify, multiply, divide, add and subract rational expressions and solve rational equations. Simplify complex fractions. Set up and solve |

| |rational equations for application problems. |

| |Measure: Quizzes, exams, |PLO:       |ILO: 2.7 |GE-LO: B3, B8 |Year Assessed:       |

| |projects and/or homework | | | | |

|6. |Analyze and translate verbal Expressions into Algebraic. Use symbolic language to name algebraic structures. |

| |Measure: Quizzes, exams, |PLO:       |ILO: 2, 7 |GE-LO: B3 |Year Assessed:       |

| |projects and/or homework | | | | |

|7. |Demostrate proficiency with a scientific calculator |

| |Measure: Quizzes, exams, |PLO:       |ILO: 2,7 |GE-LO: B3, B8 |Year Assessed:       |

| |projects and/or homework | | | | |

|8. |      |

| |Measure:       |PLO:       |ILO:       |GE-LO:       |Year Assessed:       |

|9. |      |

| |Measure:       |PLO:       |ILO:       |GE-LO:       |Year Assessed:       |

|10. |      |

| |Measure:       |PLO:       |ILO:       |GE-LO:       |Year Assessed:       |

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.

|HOURS |Content, Student Performance Objectives, and Out-of-Class Assignments. |

| |Hours: Total number of hours should be based on an 18 week semester, even though we are on a compressed 16 week calendar. For |

| |example, a 3 unit course should have 54 hours, less 2 for the final. |

| |Out of Class Assignments: essays, library research, problems, projects required outside of class on a 2 to 1 basis for Lecture |

| |units granted. Include specific examples of reading and writing assignments. |

|8 Hours |Content: Fractions, Operations of real numbers, simplifying expressions. |

| |Student Performance Objectives (SPO): Students will be able to perform mathematical operations with real numbers, evaluate |

| |numerical and algebraic expressions using the order of operations, simplify linear expressions. |

| |Out-of-Class Assignments: Homework assignment |

|12 Hours |Content: Solving linear equations. Solving linear inequalities including compound inequalities in one variable and expressing the |

| |solution algebraically, graphically on the numberline, in interval notation and in set builder notation. Translating verbal |

| |expressions into algebraic expressions and equations. Evaluating and solving formulas; problem solving strategies involving |

| |linear equations and inequalities in one variable. Applications of linear equations/ inequalities. |

| |Student Performance Objectives (SPO): Students will be able to solve linear equations and inequalities, and express the solution |

| |to linear inequalities graphically, algebraically, in set builder notation and in interval format. Students will be able to |

| |evaluate formulas, solve formulas for a specified variable and use formulas in problem solving. Student will be able to set up and|

| |solve linear equations and inequalities for application problems, including solution mixture, investment, and distance problems. |

| |Out-of-Class Assignments: Homework assignment, project |

|12 Hours |Content: Cartesian coordinate system. Solving linear equations in two variables. Reading the graphs and graphing linear |

| |equations in two variables. Finding the slope and intercepts of the line. Slopes of vertical, horizontal, parallel and |

| |perpendicular lines. Solving application problems. Slope - intercept equation of a line, point - slope equation of a line, |

| |applications. Graphing linear inequalities in two variables, including compound inequalities. |

| |Student Performance Objectives (SPO): Students will be able to solve and graph linear equations in two variables, identify the |

| |slope and intercepts of a line given the graph or equation, and identify lines that are parallel and perpendicular Student will be|

| |able to find the equation of a line given slope and y-intercept, point and slope, two points, graph of the line or any other |

| |information about the line. Solve application problems. Graph solution set to linear inequalities and to compound linear |

| |inequalities in two variables. |

| |Out-of-Class Assignments: Homework assignment, project |

|7 Hours |Content: Solving systems of of linear equitons in two variables by graphing, and systems of linear equations in both two and |

| |three variables using substitution and elimination. Problem soving strategies involving linear functions and systems of |

| |equations. Number, Geometric, Uniform Motion, Investment and Mixture Applications. |

| |Student Performance Objectives (SPO): Students will be able to solve 2x2 systems graphically and identify consistent, inconsistent|

| |and dependent systems as well as systems with one solution, no solution and infinitely many solutions. Students will be able to |

| |solve 2x2 and 3x3 systems of equations using substitution and elimination, and solve application problems involving systems of |

| |equations, |

| |Out-of-Class Assignments: Homework Assignment. |

|3 Hours |Content: Utilitze the quotient, product , and power rules for exponents and evaluate numerical expressions with negative and zero|

| |exponents. Write numbers in scientific notation and perform operations using a scientific calculator. |

| |Student Performance Objectives (SPO): Students will be able to apply the rules for exponents to simplify an exponential |

| |expression, convert from scientific notation to standard noatation and visa versa, use a scientific calculator to perform |

| |operations with numbers written in scientific notation, and solve application problems involving numbers in scientific notation. |

| |Out-of-Class Assignments: Homework assignment, project |

|8 Hours |Content: Introduction to polynomials. Simplifying,adding and subtracting, multiplying, dividing polynomials. |

| |Student Performance Objectives (SPO): Students will be able to identify the degree of a polynomial and put in standard form. |

| |Students will be able to simplify, add, subtract, multiply and divide polynomials. Students will be able to divide with long |

| |division and/or synthetic division. |

| |Out-of-Class Assignments: Homework assignment, project |

|12 Hours |Content: Factoring polynomials. Factoring the Special Products, Trinomials, and factoring by grouping. Solving polynomial |

| |equations by factoring; problem solving strategies involving polynomial equations. |

| |Student Performance Objectives (SPO): Students will be able to factor completely a polynomial expressions, including difference of|

| |squares and difference/sum of cubes. Students will be able to do factor by grouping on a trinomial or polynimial. Students will |

| |be able to set up and solve polynomial equations for application problems. |

| |Out-of-Class Assignments: Homework Assignment. |

|20 Hours |Content: Simplifying rational expressions, multiplying, dividing and adding/subtracting rational expressions, simplifying complex |

| |fractions and solving rational equations. Applications of rational equations. |

| |Student Performance Objectives (SPO): Students will be able to simplify a rational expression and indicate where a rational |

| |expression is undefined. Students will be able to add, subtract, multiply and divide rational expressions, and simplify complex |

| |expressions including complex expressions with negative exponents. Student will be able to solve rational equations and set up a |

| |rational equation to solve a word problem. |

| |Out-of-Class Assignments: Homework assignment, project |

|5 Hours |Content: Review for the Final Exam. |

| |Student Performance Objectives (SPO): Students will be able to review and re-learn the basic concepts. |

| |Out-of-Class Assignments: Practice Final Exam handouts. |

|      Hours |Content:       |

| |Student Performance Objectives (SPO):       |

| |Out-of-Class Assignments:       |

|      Hours |Content:       |

| |Student Performance Objectives (SPO):       |

| |Out-of-Class Assignments:       |

|      Hours |Content:       |

| |Student Performance Objectives (SPO):       |

| |Out-of-Class Assignments:       |

|      Hours |Content:       |

| |Student Performance Objectives (SPO): S |

| |Out-of-Class Assignments:       |

|      Hours |Content:       |

| |Student Performance Objectives (SPO):       |

| |Out-of-Class Assignments:       |

|      Hours |Content:       |

| |Student Performance Objectives (SPO):       |

| |Out-of-Class Assignments:       |

|      Hours |Content:       |

| |Student Performance Objectives (SPO):       |

| |Out-of-Class Assignments:       |

|2 Hours |Final |

|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: 95 % to 100 % |

| Homework Problems |

| Field Work |

| Lab Reports |

| Quizzes |

| Exams |

| Other: projects |

|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: 0 % to 5 % |

| Multiple Choice |

| True/False |

| Matching Items |

| Completion |

| Other: conceptual questions |

|CATEGORY 5 - Any other methods of evaluation: |

|      Percent range of total grade:       % to       % |

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