BAINBRIDGE COLLEGE
Division of Technical Studies

COURSE TITLE: Technical Math
COURSE NUMBER: TECH 1120
CONTACT HOURS: 4
CREDIT HOURS: 4
INSTRUCTOR: Grimes
TEXTBOOK: TBA

PURPOSE OF COURSE: Emphasizes fundamental mathematical skills that can be applied to the solution of occupational and technical problems.

COURSE OBJECTIVES: At the end of the semester you will be able to:

  1. Demonstrate an acceptable level of skill in solving problems related to whole numbers, fractions, decimals, percents, exponents, radicals, and order of operations.
  2. Demonstrate an acceptable level of skill in solving SI metric unit and powers of 10 problems.
  3. Demonstrate an acceptable level of skill in solving angular and circular measure problems.
  4. Demonstrate an acceptable level of skill in solving surface measure problems.
  5. Demonstrate an acceptable level of skill in solving volume measure (nonliquid) problems.
  6. Demonstrate an acceptable level of skill in the arithmetic of signed numbers and in simplifying algebraic expression.
  7. Demonstrate an acceptable level of skill in solving linear equations in one variable and in transforming literal equations.
  8. Demonstrate an acceptable level of skill in solving proportions.
  9. Demonstrate an acceptable level of skill in solving basic trigonometry problems related to triangles.
  10. Demonstrate Work Ethics that meet the Technical Division criteria.

TOPICAL OUTLINE

  1. Basic Arithmetic
    1. Addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals
    2. Whole number exponents for bases of whole numbers, fractions, or decimals
    3. Square and cube roots of decimals, square roots of perfect square fractions, and cube roots of perfect cube fractions
    4. Order of Operations
    5. Proper fractions, improper fractions, and mixed numbers
    6. Equivalent fractions
    7. Converting form among
      1. Fractions or mixed numbers
      2. Decimals
      3. Percent
    8. Finding percentage, rate, base, add ons, and discounts
    9. Averages

  2. SI Metric Units and Powers of Ten
    1. Magnitude prefixes and Symbols
    2. Power of ten meanings
    3. Units to which prefixes are attached
    4. Converting between units of different magnitudes

  3. Angular and Circular Measure
    1. Converting between fractional parts of a revolution and degrees
    2. Converting among degrees, minutes, and seconds
    3. Protractor
      1. Reading a protractor
      2. Drawing a given angle
    4. Circles
      1. Circumference
      2. Length of arc
    5. Word problem applications

  4. Surface Measure
    1. Conversion between square inches, square feet, and square yards
    2. Area
      1. Rectangle and square
      2. Parallelogram
      3. Triangle
      4. Trapezoid
      5. Circle and sector
      6. Cylinder
        1. Lateral area
        2. Total area
      7. Surface area of sphere
    3. Word problem applications

  5. Volume Measure (Nonliquid)
    1. Conversion between cubic inches, cubic feet, and cubic yards
    2. Formulas
      1. Rectangular solid and cube
      2. Cylinder
      3. Sphere
    3. Word problem applications

  6. Signed Numbers, Algebraic Expressions, and Equation
    1. Absolute value
    2. Adding and subtracting signed numbers
    3. Multiplying and dividing signed numbers
    4. Whole number exponents with signed number bases
    5. Order of Operations
    6. Variables
    7. Combining like terms
    8. Evaluating expressions
    9. Adding and subtracting polynomials
    10. Multiplying and dividing monomials
    11. Distributing a constant over a polynomial
    12. Solving linear equations in one variable
    13. Transforming literal equations

  7. Proportions
    1. Ratio and Proportion
    2. Solving Proportions
    3. Applications

  8. Applied Trigonometry
    1. Triangle Facts
      1. Pythagorean theorem
      2. Sum of measures of interior angles
    2. Definitions of sin, cos, and tan based on the right triangle
    3. Finding sin, cos, and tan of an angle in degree measure
    4. Finding the angle A in degree measure when sin A, cos A, or tan A known
    5. Finding missing sides or angles in right triangles
    6. Applications of right triangle trigonometry
    7. Vectors

CLASS POLICY: Good attendance is necessary to get the most from the course. Complete the achievement reviews that are assigned. These are designed to reinforce the sample problems worked in class.If you are confused or do not understand the example problems worked in class, be certain to ask for help.

GRADING POLICY: The grading scale for the Division of Technical Studies is as follows.

A = 90 - 100%

B = 80 - 89%

C = 70 - 79%

D = 60 - 69%

F = Below 60%

Your grade for this course will be based on the following:

10% = Minor Quizzes, Homework, and Work Ethics
70% = 7 - 8 Major Tests
20% = Final Examination

Examination days will be announced in advance. Make a real effort to take each test on the announced day. If you must miss a unit examination you have one week in which to make arrangements to take a make-up examination. Make-ups will not be given for minor quizzes. Homework must be brought up to date immediately after an absence.

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