Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: MATH 101B
Full Course Title: Elementary Algebra Second Half
Short Title: Elem Alg Sec Half
TOP Code: 1701.00 - Mathematics, General
Effective Term: Fall 2016

### Course Standards

Course Type: Credit - Not Degree Applicable
Units: 3.0
Total class hours: 162.0
Total contact hours in class: 54.0
Lecture hours: 54.0
Hours outside of class: 108.0
Repeatable: No

### Minimum Qualifications for Instructors

• Mathematics (Masters Required)

### Course Description

Together with Math 101A, to prepare students to take Intermediate Algebra. Topics include: real numbers; algebraic expressions; systems of linear equations (algebraic); linear inequalities in one and two variables (compound, system); scientific notation; absolute value function and equations; application problems. Designed for a variety of students, especially those who are math anxious or require a slower-paced, year-long version of Math 101. Math 101A and 101B, if taken sequentially, can substitute for Math 101 as a prerequisite or to meet degree requirements.

### Conditions of Enrollment

Satisfactory completion of: MATH 101A

• Language - recommended eligibility for English 1A
To be able to read and understand the textbook. To be able to read and understand word problems.

### Content

Course Lecture Content
1. Basic operations with powers (all integer exponents)
2. Introduction to scientific notation
3. Polynomial division
4. Systems of two linear equations: solving algebraically
5. Compound linear inequalities in one variable with rational-number coefficients
6. Linear inequalities in two variables with rational-number coefficients, and systems of two linear inequalities in two variables with rational-number coefficients
7. Equations in one variable that contain absolute value function
8. Applications that require one equation or a system of two equations, including
1. Perimeter and area
2. Distance-rate-time
3. Mixture
4. Applications of the Pythagorean theorem
9. OPTIONAL: Factor polynomials

### Objectives

1. Perform the basic operations of addition, subtraction, multiplication, and division, powers (integer exponents), and square roots of real numbers using the order of operations.

2. Translate between standard notation and scientific notation.

3. Perform polynomial division.

4. Solve systems of two linear equations algebraically. **Requires Critical Thinking**

5. Solve linear inequalities in one variable with rational-number coefficients. **Requires Critical Thinking**

6. Solve compound linear inequalities in one variable with rational-number coefficients. **Requires Critical Thinking**

7. Solve linear inequalities in two variables with rational-number coefficients, and systems of two linear inequalities in two variables with rational-number coefficients. **Requires Critical Thinking**

8. Solve equations in one variable that contain absolute value function. **Requires Critical Thinking**

9. Solve applications that require one equation or a system of two equations, including perimeter, area, distance-rate-time, mixture, applications of the Pythagorean theorem. **Requires Critical Thinking**

### Student Learning Outcomes

1. Perform arithmetic operations on polynomial expressions.
2. Solve linear inequalities in one variable.
3. Apply the properties of integer exponents.
4. Solve systems of linear equations.
5. Translate an application problem into a system of linear equations.

### Methods of Instruction

• Lecture/Discussion

### Assignments

Writing Assignments
Other Assignments

A selection of problems from each section of the textbook.

### Methods of Evaluation

• Exams
• Homework
• Oral Tests/Class Performance
• Participation
• Quizzes
• Other
Skills test

### Course Materials

Textbooks:
1. Martin-Gay, Elayn. Beginning & Intermediate Algebra – A Custom Edition for the Yuba Community College District, 1st custom ed ed. Pearson Learning Solutions, 2012, ISBN: 1256811173
Equivalent text is acceptable
Other:
1. Scientific calculator: Texas Instruments TI-30X IIS or equivalent.