MS-101 Algebra & Trigonometry

Course Description: 
Identifies components of exponential expressions in polynomials with mathematical operation of exponential expressions; factoring of up to 4th degree polynomials; recognizing rational and irrational numbers with emphasis on the use of number lines, equation and inequality solving with application problems; introduction of literal equations; working with radical expressions; graphing of two variables on the xy plane; solving systems of equations in two or three variables.

  • Prerequisite Courses:  MS 100 with “C” or better
  • APROGRAM LEARNING OUTCOMES (PLOs):
    The student will be able to:

    1. Demonstrate understanding and apply mathematical concepts in problem solving and in day to day activities.
    2. Present and interpret numeric information in graphic forms.
    3. Communicate thoughts and ideas effectively using proper mathematical terms.

    BSTUDENT LEARNING OUTCOMES (SLOs): GENERAL
    The student will be able to:
     

    1. Manipulate exponential/logarithmic functions.
    2. Employ angles.
    3. Evaluate trigonometric ratios
    4. The student will be able to graph and analyze periodic sinusoidal functions.

    SLO

    PLO 1

    PLO 2

    PLO 3

    1

    IDM

    ID

    DM

    2

    IDM

    ID

    ID

    3

    ID

    ID

    I

    4

    I

    I

    I

    I = Introduced
    D = Demonstrated
    M = Mastered

    CSTUDENT LEARNING OUTCOMES (SLOs):  SPECIFIC
          The student will be able to:

    General SLO 1.  Manipulate exponential/logarithmic functions.

    Student Learning Outcomes

    Assessment Strategies

    1.1 Solve and evaluate exponential equations and functions.

    Homework and/or quizzes and/or exams

    1.2 Solve and evaluate logarithmic equations and functions.

    Homework and/or quizzes and/or exams

    1.3 Interpret the inverse relationship between exponentials and logarithms.

    Homework and/or quizzes and/or exams

    1.4 Use exponentials and logarithms to model and solve real-life problems.

    Homework and/or quizzes and/or exams

    General SLO 2. Employ angles


    Student Learning Outcomes

    Assessment strategies

    2.1  Sketch and recognize angles using degree mode.

    Homework and/or quizzes and/or exams

    2.2  Sketch and recognize angles using radian mode.

    Homework and/or quizzes and/or exams

    2.3  Convert angles between degree and radian mode

    Homework and/or quizzes and/or exams

    General SLO3. Evaluate trigometric ratios


    Student Learning Outcomes

    Assessment Strategies

    3.1  Use right triangles to evaluate trigonometric ratios of acute angles.

    Homework and/or quizzes and/or exams

    3.2  Use reference angles to evaluate trigonometric ratios of nonacute angles.

    Homework and/or quizzes and/or exams

    3.3  Use the unit circle to evaluate trigonometric ratios of quadrantal angles

    Homework and/or quizzes and/or exams

    3.4 Use a calculator to evaluate trigonometric ratios of angles.

    Homework and/or quizzes and/or exams

    3.5  Use right to triangles to model and solve real life problems.

     

    General SLO 4.  Graph and analyze periodic sinusoidal functions.


    Student Learning Outcomes

    Assessment Strategies

    4.1  Recognize and sketch the basic sine and cosine curves.

    • Homework and/or quizzes and/or exams

    4.2   Find the period, amplitude and midline of sinusoidal curves

    • Homework and/or quizzes and/or exams

    4.3  Use sinusoidal functions to model real-life phenomena.

    • Homework and/or quizzes and/or exams

    D.  COURSE CONTENT

    1. Solve exponential equations.
    2. Solve logarithmic equations.
    3. Convert equations from exponential to logarithmic and vice versa.
    4. Use properties of logarithms.
    5. Use data to create exponential models.
    6. Use angles in degree and radian mode.
    7. Use triangles to evaluate trigonometric ratios.
    8. Use reference angles and unit circle to evaluate trigonometric ratios.
    9. Use trigonometric ratios to solve real life problems
    10. Find sinusoidal models given data.
    11. Use real life to model periodic phenomena.

    EMETHODS OF INSTRUCTION
    The course will involve the use of lectures, class discussions, and activities.  Small groups of cooperative teaching/learning can be utilizedUtilizing graphing tools (graphing calculator or graphing software) will assist students in visualizing equations and graphs.  Quizzes and examinations will provide measurement of achievement of course objectives. 

    FREQUIRED TEXT(S) AND COURSE MATERIALS
    Larson, R.  (2011).  Algebra and trigonometry (8th ed.). Belmont, CA:  Brooks Cole Cengage Learning (or most recent edition).
    Scientific calculator   

    G.  REFERENCE MATERIALS
    None

    H.  INSTRUCTIONAL COSTS
    None

    I.   EVALUATION
    None

    J.   CREDIT BY EXAMINATION
    None


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