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
Effective Term: Fall 2016

Course Standards

Lecture Hours: 54.000
Total Units: 3.000
Total Hours: 54.00
Repeatable: No
Grading Method: Letter Grade or Pass/No Pass

Minimum Qualifications


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

Completion with a C or better in: MATH 111 or. Other: (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.

Advisories

Content

Course Lecture Content
  1. Basic operations
    1. Addition and subtraction
    2. Multiplication and division
    3. Powers (nonnegative integer exponents)
    4. Square roots of real numbers
    5. The order of operations
  2. Axioms 
    1. Addition and multiplication
    2. The distributive law
  3. Algebraic expressions
    1. Add and subtract 
    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


Assignments

Hours per week on assignments outside of the class:

Reading Assignments
Writing Assignments
Other Assignments

A selection of problems from each section of the textbook.


Methods of Evaluation


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