Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: MATH 101A
Full Course Title: Elementary Algebra First Half
Short Title: Elem Alg First 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 101B, to prepare students to take Intermediate Algebra. Topics include: real numbers; algebraic expressions; linear equations and systems of linear equations (graphical); linear inequalities in one variable (simple); graphs and equations of lines in the Cartesian plane; introduction to functions and their graphs; 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 Math 101B must both be completed successfully to be equivalent to Math 101 as a prerequisite or to meet degree requirements.

### 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 101A not 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 (nonnegative integer exponents)
4. Square roots of real numbers
5. The order of operations
2. Axioms
2. The distributive law
3. Algebraic expressions
2. Multiply and divide
3. Evaluate equations
4. Linear equations in one variable with rational-number coefficients
5. 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: solve by graphing
8. Introduction to functions and function notation: linear and nonlinear functions and their graphs
9. Applications, including:
1. Formulas
2. Perimeter and area
3. Distance-rate-time
4. Mixture
5. The Pythagorean theorem

### Objectives

1. Perform the basic operations of addition, subtraction, multiplication, and division, powers (nonnegative 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; evaluate.

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

5. Solve linear 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.

8. Evaluate function notation; graph nonlinear functions.

9. Solve application problems including formulas, 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.
5. Simplify an expression involving rational numbers using order of operations.

### 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-30XIIS or equivalent