Yuba Community College District

Yuba College Course Outline

### Course Information

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

### Course Standards

Course Type: Credit - Not Degree Applicable
Units: 4.0
Total class hours: 216.0
Total contact hours in class: 72.0
Lecture hours: 72.0
Hours outside of class: 144.0
Repeatable: No

### Minimum Qualifications for Instructors

• Mathematics (Masters Required)

### Course Description

To prepare students to take Intermediate Algebra. Topics include: real numbers; algebraic expressions; linear equations and systems of linear equations; linear inequalities in one and two variables (simple, compound, system); scientific notation; graphs and equations of lines in the Cartesian plane; introduction to functions and their graphs; absolute value function and equations; application problems.

### Conditions of Enrollment

Satisfactory completion of: MATH 111 or (Placement Exam Score)Qualifying score on the mathematics placement test. To allow students who are prepared to take Math 101 not to have to take the prerequisite course.

• 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
2. Multiplication and division
3. Powers (integer exponents)
4. Square roots of real numbers
5. The order of operations
2. Axioms
2. The distributive law
3. Algebraic expressions
2. Multiplication and polynomial division
3. Evaluating expressions
4. Introduction to scientific notation
5. Linear equations and linear inequalities in one variable with rational-number coefficients
6. Introduction to the Cartesian coordinate system
1. Lines
2. Graphing
3. Intercepts
4. Slope
5. Equations
7. Systems of two linear equations
1. Solving by graphing
2. Solving algebraically
8. Compound linear inequalities in one variable with rational-number coefficients
9. Linear inequalities in two variables with rational-number coefficients, and systems of two linear inequalities in two variables with rational-number coefficients
10. Introduction to functions and function notation: linear and nonlinear functions and their graphs
11. Equations in one variable that contain absolute value function
12. Applications that require one equation or a system of two equations, including:
1. Formulas
2. Perimeter and area
3. Distance-rate-time
4. Mixture
5. Pythagorean theorem
13. 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. Recognize the correct axiom for addition and multiplication, and the distributive law.

3. Manipulate algebraic expressions: add, subtract, and multiply; polynomial division; evaluate.

4. Translate between standard notation and scientific notation.

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

6. Graph linear equations in the Cartesian plane, identify slopes and intercepts, find equations, determine if lines are parallel or perpendicular. **Requires Critical Thinking**

7. Solve systems of two linear equations by graphing and algebraically. **Requires Critical Thinking**

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

9. 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**

10. Evaluate function notation; graph nonlinear functions.

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

12. 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. Derive the equation of a line.
2. Solve linear inequalities in one variable.
3. Graph and analyze linear equations.
4. Translate an application problem into a linear equation or system of linear equations.
5. Perform arithmetic operations on polynomial expressions.
6. Apply the properties of integer exponents.
7. Solve systems of linear equations.

### Methods of Instruction

• Lecture/Discussion

Delivery Methods
• Online

### Assignments

Writing Assignments
Other Assignments

A selection of problems from each section of the textbook.

### Methods of Evaluation

• Exams
• Homework
• Oral Tests/Class Performance
• 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