10804114College Technical Mathematics 1B
Course Information
Description
This course is a continuation of College Technical Mathematics 1A. Topics include: performing operations on polynomials; solving quadratic and rational equations; formula rearrangement; solving systems of equations; and oblique triangle trigonometry. Emphasis will be on the application of skills to technical problems. Successful completion of College Technical Mathematics 1A and College Technical Mathematics 1B is the equivalent of College Technical Mathematics 1.
Total Credits
2
Course Competencies
  1. Perform operations on polynomials
    Assessment Strategies
    in an oral, written, or graphic product
    Criteria
    add, subtract, multiply, and divide polynomials
    utilize appropriate technology
    apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)

  2. Factor algebraic expressions
    Assessment Strategies
    in an oral, written, or graphic product
    Criteria
    factor using the greatest common factor
    factor binominals and trinominals
    apply skill to technical problems
    utilize appropriate technology
    apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)

  3. Solve quadratic equations over the set of real numbers
    Assessment Strategies
    in an oral, written, or graphic product
    Criteria
    identify coefficients of a quadratic equation in standard form
    select appropriate method for solving second degree equations
    generate the equation which satisfies the conditions of the problem
    solve second degree equation using the selected method
    select relevant solution(s)
    apply skill to technical problems
    utilize appropriate technology
    apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)

  4. Perform operations with rational expressions
    Assessment Strategies
    in an oral, written, or graphic product
    Criteria
    add, subtract, multiply, and divide rational expressions
    apply skill to an applied technical problem
    simplify complex fractions
    utilize appropriate technology
    apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)

  5. Solve rational equations
    Assessment Strategies
    in an oral, written, or graphic product
    Criteria
    apply multiplication property to clear all denominators
    solve equations
    identify extraneous solutions
    apply skill to technical problems
    utilize appropriate technology
    apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)

  6. Solve systems of equations
    Assessment Strategies
    in an oral, written, or graphic product
    Criteria
    solve systems of two and three equations or formulas
    check all solutions in the system
    apply skill to technical problems
    utilize appropriate technology
    apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)

  7. Solve oblique triangles
    Assessment Strategies
    in an oral, written, or graphic product
    Criteria
    use the Law of Cosines, Law of Sines, and right triangle methods when appropriate
    apply skill to technical problems such as vectors
    utilize appropriate technology
    apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
    relate angle in standard position to its reference angle