Foothill CollegeApproved Course Outlines

Physical Sciences, Mathematics & Engineering Division
MATH 108ACCELERATED ALGEBRASummer 2014
10 hours lecture.10 Units

Total Quarter Learning Hours: 120 (Total of All Lecture, Lecture/Lab, and Lab hours X 12)
 
 Lecture Hours: 10 Lab Hours: Lecture/Lab:
 Note: If Lab hours are specified, see item 10. Lab Content below.

Repeatability -
Statement: Not Repeatable.

Status -
 Course Status: ActiveGrading: Letter Grade with P/NP option
 Degree Status: ApplicableCredit Status: Basic Skills-2
 Degree or Certificate Requirement: Foothill GE
 GE Status:

Articulation Office Information -
 Transferability: NoneValidation: 11/27/12

1. Description -
This course will cover content from two algebra courses, beginning and intermediate algebra. The content consists of linear equations, linear inequalities, linear systems, polynomials with focus on quadratics, rationals, radicals, absolute values, exponential and logarithmic functions. Relationships between analytical, graphical, numerical, and verbal approaches will be emphasized.
Prerequisites: Satisfactory score on the mathematics placement test, or successful completion of MATH 230, 230J or 234.
Co-requisite: None
Advisory: Not open to students with credit in MATH 105.

2. Course Objectives -
The student will be able to:
  1. Identify, graph, manipulate analytically, and use in an application for linear equations/functions.
  2. Identify, graph, manipulate analytically, and use in an application for linear inequalities.
  3. Identify, graph, manipulate analytically, and use in an application for linear systems
  4. Identify, graph, manipulate analytically, and use in an application for polynomial equations/functions.
  5. Identify, graph, manipulate analytically, and use in an application for absolute value equations/functions.
  6. Identify, graph, manipulate analytically, and use in an application for rational equations/functions.
  7. Identify, graph, manipulate analytically, and use in an application for radical equations/functions.
  8. Identify, graph, manipulate analytically, and use in an application for exponential equations/functions.
  9. Identify, graph, manipulate analytically, and use in an application for logarithmic equations/functions.
  10. Use technology such as graphing calculators and/or computer algebra system to assist in solving problems involving any of the topics in (A) through (I)
  11. Discuss mathematical problems and write solutions in accurate mathematical language and notation
  12. Interpret mathematical solutions
3. Special Facilities and/or Equipment -
  1. Computers with internet access
  2. Graphing calculator

4. Course Content (Body of knowledge) -
  1. Linear equations/functions (Lec)
    1. Represent linear equation using equations, tables, and graphs
    2. Interpret the meaning of intercepts and slopes from a table, graph, or application problem
    3. Describe magnitude and direction of slope
    4. Identify types of solutions (no solution, all real numbers, or one solution) both graphically and analytically
    5. Find rate of change and intercepts
    6. Write an equation of a line given
      1. a slope and point
      2. two points
    7. Solve literal equations
    8. Translate word problems into linear equations
  2. Linear Inequalities (Lec)
    1. Solve using inequality notation
    2. Solve compound inequalities (or, and)
    3. Represent solutions using interval notation and graph
    4. Graphically solve linear inequalities
    5. Translate word problems into linear equalities
  3. Linear Systems (Lec)
    1. Determine the number of solutions for a system
    2. Interpret the solution of the system in context of the problem
    3. Identify types of solutions (i.e., no solution) both graphically and analytically
    4. Use different methods to solve and discuss relations between
      1. Elimination
      2. Substitution
      3. Graphical approach
    5. Translate word problems into system of linear equations
  4. Polynomial equations/functions (Lec)
    1. Determine the degree of the polynomials
    2. Identify the domain and range
    3. Quadratic equations
      1. identify the vertex and axis of symmetry
      2. represent quadratic equations in standard and vertex form
      3. demonstrate the impact of parameter a, b, and c from the quadratic equation y = ax^2+bx+c
      4. identify the intercepts
      5. solve by factoring, completing the square, and quadratic formula
    4. Translate word problems into polynomial equations
  5. Absolute Value (Lec)
    1. Analytically and graphically solve absolute value equations
    2. Identify types of solutions (no solution, one solution, or two solutions)
    3. Translate word problems into absolute value equations
  6. Rational Equations (Lec)
    1. Unit Conversion
    2. proportional reasoning
    3. Operations with like and unlike rationals
      1. Identify domain and range of rationals
      2. simplify via factoring
      3. Add, subtract, multiply, and divide rationals
    4. Translate word problems into rational equations
  7. Radical Equations (Lec)
    1. Identify domain and range of radicals
    2. Use conjugate
    3. Manipulate radicals using properties of radicals
    4. Use the power rule
    5. Operations on radicals (add, subtract, multiply, and divide)
    6. Translate word problems into radical equations
  8. Exponential Equations (Lec)
    1. Identify domain and range of exponentials
    2. Identify and interpret the growth rate
    3. Use properties of exponents to simplify
      1. Similar base properties (Uniqueness of b^x)
    4. Apply logarithmic properties to solve equations
    5. Translate word problems into exponential equations
  9. Logarithmic Equations (Lec)
    1. Identify domain and range of logarithm
    2. Use properties of logarithms
      1. contract or expand expressions
      2. simplify logarithmic expressions
    3. Operations on logarithms (add, subtract, multiply, divide)
    4. Converting logarithms into exponentials
    5. Use logarithmic property of equality to solve
    6. Translate word problems into logarithmic equations
  10. Technology
    1. Sample use of technology
      1. Graphing Calculator
      2. Computer Algebra System
  11. Mathematical Notation (Lec)
    1. Applications from various disciplines
    2. Use of proper math notation
    3. Identify and accurately use different types of modeling needed for each problem
  12. Interpret mathematical Solutions (Lec)
    1. Critical thinking
    2. Write using proper math notation
5. Repeatability - Moved to header area.
 
6. Methods of Evaluation -
  1. Homework
  2. Quizzes
  3. Hour exams
  4. Proctored comprehensive final exam
  5. Class participation
  6. Worksheets or cooperative activities
  7. Project
7. Representative Text(s) -
Messersmith, Sherri. Beginning and Intermediate Algebra. 2nd edition. Boston:McGraw-Hill Higher Education, 2009.

8. Disciplines -
Mathematics
 
9. Method of Instruction -
  1. Lecture
  2. Discussion
  3. Cooperative learning exercises
 
10. Lab Content -
Not applicable.
 
11. Honors Description - No longer used. Integrated into main description section.
 
12. Types and/or Examples of Required Reading, Writing and Outside of Class Assignments -
  1. Homework Problems: Homework problems covering subject matter from text and related material ranging from 30 - 100 problems per week. Students will need to employ critical thinking in order to complete assignments.
  2. Lecture: Ten hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
  3. Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems, write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of a computer algebra system such as Mathematica or MATLAB.
  4. Worksheets: Problems and activities covering the subject matter.
13. Need/Justification -
This course satisfies the mathematics proficiency requirement for the Foothill A.A./A.S. degree.


Course status: Active
Last updated: 2014-06-09 10:36:24


Foothill CollegeApproved Course Outlines