SRJC Course Outlines

3/28/2024 4:54:11 PMMATH 151 Course Outline as of Fall 2013

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 151Title:  ELEMENTARY ALGEBRA  
Full Title:  Elementary Algebra
Last Reviewed:4/8/2013

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum5.00Lecture Scheduled5.0017.5 max.Lecture Scheduled87.50
Minimum5.00Lab Scheduled08 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total5.00 Contact Total87.50
 
 Non-contact DHR0 Non-contact DHR Total0

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

Title 5 Category:  AA Degree Applicable
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:
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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: Untitled document
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

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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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
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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:
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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%
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%
Problem sets
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
70 - 95%
Exams: multiple choice, free response; quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 10%
Projects


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

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