10/20/2019 12:12:11 PM | MATH 151 Course Outline as of Fall 2017
| Changed Course |

CATALOG INFORMATION |
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Discipline and Nbr: MATH 151 | Title: ELEMENTARY ALGEBRA | |

Full Title: Elementary Algebra | ||

Last Reviewed:4/8/2013 |

Units | Course Hours per Week | Nbr of Weeks | Course Hours Total | ||||
---|---|---|---|---|---|---|---|

Maximum | 5.00 | Lecture Scheduled | 5.00 | 17.5 max. | Lecture Scheduled | 87.50 | |

Minimum | 5.00 | Lab Scheduled | 0 | 8 min. | Lab Scheduled | 0 | |

Contact DHR | 0 | Contact DHR | 0 | ||||

Contact Total | 5.00 | Contact Total | 87.50 | ||||

Non-contact DHR | 0 | Non-contact DHR Total | 0 |

Total Out of Class Hours: 175.00 | Total Student Learning Hours: 262.50 |

Grading: Grade Only

Repeatability: 00 - Two Repeats if Grade was D, F, NC, or NP

Also Listed As:

Formerly:

**Catalog Description:**

This course is a beginning algebra course, including equations and inequalities in one variable, integer exponents, polynomials, equations and inequalities in two variables, rational expressions, radicals and rational exponents, quadratic equations, and the graphs of parabolas. Not open to those who have taken MATH 150B with a grade of "C" or better.

**Prerequisites/Corequisites:**

Course Completion of CSKLS 372 or higher (VE) OR Course Completion of DRD 382

**Recommended Preparation:**

**Limits on Enrollment:**

**Schedule of Classes Information**

Description:

This course is a beginning algebra course, including equations and inequalities in one variable, integer exponents, polynomials, equations and inequalities in two variables, rational expressions, radicals and rational exponents, quadratic equations, and the graphs of parabolas. Not open to those who have taken MATH 150B with a grade of "C" or better.

(Grade Only)

Prerequisites:Course Completion of CSKLS 372 or higher (VE) OR Course Completion of DRD 382

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: | |||||

CSU GE: | Transfer Area | Effective: | Inactive: | ||

IGETC: | Transfer Area | Effective: | Inactive: | ||

CSU Transfer: | Effective: | Inactive: | |||

UC Transfer: | Effective: | Inactive: | |||

C-ID: |

Certificate/Major Applicable: Not Certificate/Major Applicable

__COURSE CONTENT__**Student Learning Outcomes:**

Upon completion of the course, students will be able to:

1. Solve linear equations and inequalities in a single variable.

2. Solve systems of equations by the following methods: graphing, substitution and addition.

3. Perform operations on and solve equations involving polynomial, rational and radical expressions.

4. Solve quadratic equations by the following methods: factoring, square root, completing the square, and the quadratic formula.

5. Graph linear and quadratic equations in two variables.

6. Use algebraic problem solving methods in a variety of applications.

**Objectives:**

Upon successful completion of the course, students will be able to:

1. Solve advanced linear equations and inequalities in one variable and related applications.

2. Evaluate and solve formulas.

3. Graph linear equations and inequalities in two variables, including the slope-intercept method, and find the equation of a line.

4. Define a polynomial and perform the operations of addition, subtraction, multiplication, division, and factoring of polynomials.

5. Apply the laws of exponents to algebraic expressions.

6. Solve systems of equations and inequalities in two variables and related applications.

7. Perform operations of addition, subtraction, multiplication, and division on radical expressions and simplify.

8. Solve radical equations and related applications.

9. Manipulate expressions involving rational exponents.

10. Perform operations of addition, subtraction, multiplication, and division on rational expressions, and simplify rational expressions and complex fractions.

11. Solve rational equations and related applications.

12. Solve quadratic equations by completing the square and the quadratic formula.

**Topics and Scope**

I. Linear equations and inequalities in one variable

A. Linear equations

B. Applications of linear equations

C. Linear inequalities

D. Formulas

II. Linear equations and inequalities in two variables

A. Cartesian coordinate system

B. Graphing linear equations, including the slope-intercept method

C. Finding the equation of a line

D. Graphing linear inequalities

E. Systems of equations in two variables

1. Solving by graphing

2. Solving by elimination

3. Solving by substitution

4. Applications

F. Systems of inequalities

G. Introduction to function notation

III. Integer exponents and laws of exponents

IV. Polynomials

A. Definition

B. Operations

C. Factoring

1. Common factors

2. Trinomials

3. Difference of squares

4. Sum and difference of cubes

5. Grouping

V. Rational expressions

A. Simplification

B. Operations

C. Complex fractions

D. Rational equations

E. Applications

VI. Radicals

A. Square roots

B. Simplification

C. Sums and products of radicals

D. Rationalizing denominators of square roots

E. Higher-index radicals

F. Pythagorean Theorem

G. Radical equations

H. Rational exponents

I. Applications

VII. Quadratic equations

A. Solution by factoring

B. Completing the square

C. Quadratic formula

D. Applications

VIII. Graphing parabolic functions

A. Intercepts

B. Vertex

**Assignments:**

1. Weekly reading outside of class (0-50 pages)

2. Problem set assignments (10-30)

3. Mid-terms (2-5) and a final exam; quizzes (0-15)

4. Projects (for example, calculator explorations and activities) (0-2)

**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% |
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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 5 - 20% |
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Problem sets | |||

Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations 0 - 0% |
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None | |||

Exams: All forms of formal testing, other than skill performance exams. | Exams 70 - 95% |
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Exams: multiple choice, free response; quizzes | |||

Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category 0 - 10% |
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Projects |

**Representative Textbooks and Materials:**

Beginning Algebra (6th ed.). Martin-Gay, Elayn. Prentice-Hall: 2013.