Print Version

Effective: Winter 2012

Prerequisites: Prerequisite: Completion of 2 or more modules from MATH 230; permission of instructor.
Grade Type: Pass/No Pass
Not Repeatable.
FHGE: Non-GE Transferable: None
3 hours lecture. (36 hours total per quarter)

Description -
Development and applications of percents and geometric concepts. Review of addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Review of algebraic concepts including solving first-degree equations and evaluating and simplifying expressions, and applications of ratios and proportions.

Course Objectives -
  1. identify whole numbers and decimal place values
  2. write whole numbers and decimals in words
  3. write whole numbers and decimals using expanded notation
  4. round whole numbers and decimals
  5. represent whole numbers, fractions and signed-numbers on the number-line
  6. perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
  7. compare the sizes of real numbers
  8. estimate sums, differences, products and quotients of whole numbers, decimal and fractions
  9. verify sums, differences, products and quotients of whole numbers
  10. use order of operations to evaluate expressions with whole numbers, fractions, decimals and signed-numbers
  11. represent fractions, mixed numbers and percentages using shaded regions of figures
  12. find the greatest common factor and least common multiple of a list of whole numbers
  13. recognize and write equivalent fractions, including writing fractions in lowest terms
  14. perform conversions between decimals, fractions and percentages
  15. identify sets of numbers contained within the real numbers
  16. identify and use the properties (commutative, associative, distributive) of real numbers
  17. identify opposite and absolute value of a real number
  18. find the mean, median and mode of a list of numbers
  19. evaluate square roots
  20. evaluate expressions using replacement values for the variables
  21. simplify expressions by combining like terms
  22. solve linear equations in one variable
  23. discuss arithmetic of whole numbers, decimals fractions and signed numbers and algebra of expressions and equations using proper vocabulary
  24. use arithmetic and equations to solve problems, including those found in diverse fields
  25. use ratios, rates, and proportions, and percentages to solve problems, including applications found in diverse fields
  26. find perimeter, area and volume of geometric figures
  27. read charts and bar graphs
  28. use a scientific calculator
  29. discuss mathematical problems and write solutions in accurate mathematical language and notation.
  30. interpret mathematical solutions.
Special Facilities and/or Equipment -
  1. Software capable of generating multimedia presentations of course content, algorithmically generated practice problems, and tutorial assistance.
  2. Internet Access.

Course Content (Body of knowledge) -
  1. Geometric figures / area and perimeter
    1. identify basic geometric figures
    2. find the perimeter of a polygon
    3. find the area of a polygon
    4. find the circumference and area of a circle
    5. use the Pythagorean theorem to find the missing side length of a right triangle
    6. find the surface area and volume of rectangular solid
    7. solve application problems that involve geometric concepts
  2. Percents
    1. represent percents using shaded regions of geometric figures
    2. convert percents to decimals
    3. convert decimals to percents
    4. convert fractions to percents
    5. convert percents to fractions
    6. find a given percent of a number and related problems
    7. find a percent increase or decrease
    8. solve application problems using percentages
  3. Using a scientific calculator and final preparations for Algebra
    1. use the calculator to evaluate fraction operations
    2. use the calculator to evaluate exponents
    3. use the calculator to evaluate square roots
    4. use a calculator to evaluate expressions containing real numbers
    5. read charts and bar graphs
    6. solve problems requiring an integration of skills learned throughout Basic Mathematics
    7. solve application problems requiring more difficult calculations
  4. Review of Prealgebra
    1. Review four basic operations on whole numbers, fractions and decimals and signed numbers
    2. Evaluating expressions using the order of operations
    3. Review simplifying algebraic expressions
    4. Review solving equations
    5. Review development and applications of ratios and proportions
Methods of Evaluation -
  1. Homework
  2. Quizzes
  3. Hour Exams
  4. Final Exam
  5. Class participation
Representative Text(s) -
Instructor generated worksheets and practice problems.

Disciplines -
Method of Instruction -
Lecture, Discussion, Cooperative learning exercises.
Lab Content -
Not applicable.
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 - 60 problems per week. Students will need to employ critical thinking in order to complete assignments.
  2. Lecture: Five 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. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.