Chabot College

Course Outline for Mathematics 65, Page 1

Fall 2005

Chabot College Fall 2005

Replaced Fall 2006

Course Outline for Mathematics 65

ELEMENTARY ALGEBRA
Catalog Description:

65 – Elementary Algebra5 units

Elementary concepts, including signed numbers, integral exponents, polynomials and rational expressions; linear, quadratic and rational equations; linear inequalities; introduction to graphs and set theory; systems of equations. Prerequisite: Mathematics 105 or 105L, (completed with a grade ofC or higher) or an appropriate skill level demonstrated through the Mathematics Assessment process. May not receive credit if Mathematics 65L or Mathematics 65A and Mathematics 65B have been completed. May be offered in Distance Education delivery format. 5 hours lecture, 0-1 hour laboratory.

Prerequisite Skills:

Before entering the course the student should be able to:

  1. perform computations with fractions, decimals, and signed numbers without a calculator;
  2. build and simplify fractions;
  3. convert between decimals, percents, and fraction representations;
  4. determine the prime factorization of a natural number;
  5. interpret natural number exponents;
  6. apply the associative, commutative, and distributive laws;
  7. apply the order of operations in evaluating expressions;
  8. perform unit conversions in U.S. standard and metric units;
  9. solve problems using ratios, proportions and percents;
  10. find the areas, perimeters, and volumes of geometric figures and objects;
  11. translate between words and the mathematical symbols for variables and operations.

11.interpret operations and variables in algebraic expressions;

12.create, interpret, and solve simple linear equations;

13.graph simple relationships between two variables;

14.solve word problems, including those using formulas and linear equations.

Expected Outcome for Students:

Upon completion of the course, the student should be able to:

  1. write using set theory notation;
  2. apply order of operations to simplify algebraic expressions;
  3. solve linear equations in one variable;
  4. solve and graph linear inequalities in one variable;
  5. graph linear equations in two variables by various methods;
  6. add, subtract, multiply, and divide polynomials;
  7. apply the formula for squaring a binomial;
  8. factor special products, general trinomials, and polynomials with four terms;
  9. add, subtract, multiply, divide and simplify rational expressions;
  10. apply algebraic methods to solve word problems;
  11. solve quadratic equations by factoring, using the principle of square roots, and using the quadratic formula;
  12. solve systems of equations by graphing, substitution and elimination;
  13. apply the properties of integral exponents;
  14. solve formulas for any given variable;
  15. solve rational equations;
  16. find the slope of a line from the graph, from the definition and from the slope-intercept equation of the line;
  17. find the equation of a line using the point-slope equation;
  18. convert between scientific notation and standard notation;

Course Content:

  1. Set theory notation
  2. Real number system
  3. Properties of addition and multiplication
  4. Absolute value
  5. Order of operations
  6. Graphing on the number line
  7. Algebraic expressions
  8. Linear equations
  9. Solving
  10. Applications
  11. Formulas
  12. Linear inequalities in one variable
  13. Solving
  14. Graphing on the number line
  15. Applications
  16. Operations and simplifying polynomials
  17. Factoring polynomials
  18. Removing common factors
  19. Trinomials
  20. Difference of two squares
  21. Grouping
  22. Rational expressions
  23. Simplifying
  24. Operations
  25. Complex fractions
  26. Solving rational equations
  27. Introduction to systems of linear equations
  28. Graphing method
  29. Substitution method
  30. Elimination method
  31. Applications
  32. Graphing linear equations in two variables
  33. Plotting points
  34. Plotting intercepts
  35. The slope-intercept method
  36. Finding slope
  37. From the graph
  38. From two points
  39. From the slope-intercept equation
  40. Finding linear equations given the graph of the line or information about the line
  41. Exponents
  42. Integral
  43. Scientific notation
  44. Simplifying square roots of constants
  45. Quadratic equations
  46. Solving by factoring
  47. Solving by principle of square roots
  48. Solving by using the quadratic formula

Methods of Presentation:

  1. Informal lectures
  2. Class discussion of problems, solutions and students’ questions
  3. Audio-visual materials

Assignments and Methods of Evaluating Student Progress:

  1. Typical Assignments
  2. Exercises from the text book

The balance in Wills’ Mastercard® account grew 2% to $870 in one month. What was his balance at the beginning of the month?

  1. Collaborative: Do the M&M experiment to model Hooke’s Law
  1. Methods of Evaluating Student Progress:
  2. Homework
  3. Quizzes
  4. Class participation
  5. Midterms
  6. Final Exam

Textbook(s) (Typical):

Elementary Algebra Concepts and Applications, Bittenger and Ellenbogen, Addison Wesley, 2002

C. Wieser

Curriculum/math/65/992000

Hps

Css revised: 092000

Css revised: 05/05/01

Css Revised 08-23-02

MATH 65 Outline Fall 2003 (Stubblebine)