• Merrillville High School
    Course Scope & Sequence
     
     
    Department:
     Mathematics
    Pre-Calculus/Trigonometry B
    Instructor:Gail Nicolini

    Email:
     
     
     
     
     

    Course Expectations, Goals & Routines

    Expectations of Pre Calculus Students:
     
    • Take responsibility for your education.
    • Be prepared everyday. Book with a cover, Pre Calculus notebook, Pencils, TI-83 or TI-84 Graphing Calculator, Post-It notes.
    • Be on Time. It is expected of you in school and when you get a job.
    • Perfect attendance or as close to it as humanly possible. Absences are tough to recover from with Trimesters.
    • Complete all assignments with your best effort.
    • Turn all assignments in on time and 100% complete. Homework is practice and you will be successful if you do your homework.
    • Stay organized & take good notes. If I write something on the board it is important.
    • Participate in class.• Prepare for all exams and quizzes.
    • Put forth an effort equal to your ability.
    • Student will be expected to demonstrate their math skills to the class and field their questions.
    • Problems sets and notes collected on Test days.
     
     
    Course Description
     
    PRE-CALCULUS/TRIGONOMETRY                                             
    Pre-Calculus/Trigonometry blends the concepts and skills that must be mastered before enrollment in a college-level calculus course.  The course includes the study of (1) relations and functions, (2) exponential and logarithmic functions, (3) trigonometry in triangles, (4) trigonometric functions, (5) trigonometric identities and equations, (6) polar coordinates and complex numbers, (7) sequences and series and (8) data analysis. Note: A graphing calculator or such as a TI-83 or comparable is required.  (NOT the TI-89 or QWERTY keypad calculators)
    ·         Grade Levels: 11 – 12
    ·         Prerequisite: Geometry and Algebra II (Grade of C or better)
    ·         Credits: 2 trimester course for 2 credits
    ·         Counts as a Mathematics Course for the General, Core 40, Core 40 with Academic Honors and Core 40 with Technical Honors diplomas
    • A Career Academic Sequence or Flex Credit course

     

     
    Week
    Standards
    Instructional Content
    Activities, Readings, Labs, Interactive Notes, Assignments, etc.
    Assessments
    Other
    1
    PC 4.1,4.2,4.3,4.4,3.1
    Trigonometric Functions
    Angles and Their Measures
    Trigonometric Functions of Acute Angles
     
    Quizzes, Unit Cirlce Card
    Homework Set I
    1.  P325 [2-42]E
    2.  P 336  4,12,24
       [26-58]E
    3. P 347-8 [2-24]E
       day 2 [26-48]E
    4.  p 257[2-16]E
                  [30-52]E
    Graphing worksheet
    5  p 365-366 [2-28]
     
     
    2
    PC 4.5,4.6,4.7
     
    Graphs of Tangent,Cotangent, Secant, and Cosecant
    Tests and Quizzes, Worksheet on Graphing
    4. p 395  [2+14]
            [13-24]
     
    3
    PC 4.5,4.6,4.7,4.8,4.9,
         4.11, 5.5,5.6, 1.6
     
     
     
     
     
     
     
     
     
     
    Graphs of Composite Trigonometric Functions
    Inverse Trigonometric Functions
    Solving Problems with Trigonometry
    Trigonomety Extended: The Circular Functions
    Graphs of Sine and Cosine: Sinusoids
     
    Test and Quizzes
    5.PEVIEW                    
         p 399 [2-56]E
         70,72,78,80,86,
         88,96,98,100
     
     
     
    4
    PC 5.1,5.2,5.3,5.45.5,5.6
    Analytic Trigonometry
     
     
    Fundamental Identities
    Proving Trigonometric Identities
    Sum and Difference Identities
    Multiple-Angle Identities
     
    Tests and Quizzes, Worksheet on Graphing
     
     
     
     
    Problem Set II
    1. P 410 [2-38]Evens
      day 1 [9-13[ odd
               [ 23-37] odd
      p 411 [40-68] Even
    2.  418 [12-32] Even
            [32-42]E
    3.  P 425 [2-22] Evens
      [24-30] evens
       [26-42]  evens
    4.  p 432 [2-36] evens
    5.  p 436-7 [2-24]E
              32,34,36
    5
    PC 5.5,5.63.3,3.4
     
    The Law of Sines
    The Law of Cosines
    Project on Laws and Area
    Problem Set
    1.  p. 439 [2-12] Evens
        28,32
    2.  p 448 [2-40] Evens
     
    6
    PC 1.1,1.2,1.3,1.71.10
    Analytic Geometry in Two and Three Dimensions
    Conic Sections and Parabolas
    Ellipse
    Tests and Quizzes
    Problem Set
    1.  Day 1 :p 587  2,6,[8-16]Evens 18,20,32,38,40
           Day 2:  2,4[24-40] E
    7
    PC 1.1,1.2,1.3,1.71.10
    Hyperbolas
    Translations and Rotations
    Tests and Quizzes
    2.  Day 1:  p. 599    2,4,6,12' 14 [22-30] E         Day 2:  16,20
           [32-40]E 46,48,50
    3.p 609
          Day 1:  [2-30]E
          Day 2:  {32-40]
    4.  Review
         P 638-639 [2-28]E
                 [32-40]E
     
     
     
    8
    PC 7.1,7.2,7.3,7.4,7.6
    Discrete Math
    Binomial Theorem
    Sequences
    Series
    Tests and Quizzes
    Problem Set
    1. Page 676 [2-32] Evens
    2. Page 684 [2-22][26-30]
        36,38
    3.  P 730 [48-90] Evens
    9
    PC1.3,9.1
    Systems and Matrices 
    Solving Systems of two Equations
    Tests and Quizzes
     
     
     
     
     
     
     
     
     
     
     
     
    10
    PC 7.5,9.1,9.2
    Intro To Calculus
    Limits and Motions:  The Tangent Problem
    the Area Problem
    Tests and Quizzes
    Problem Set
    P 744 [24-32]E
    use f(x+h) - f(x)/h
    then find the derivative
    Last find the value at the x if given
    11
    PC 7.5,9.1,9.2
    Introduction to Calculus:
    Limits, Derivatives and Integrals
    Numerical Derivatives and Integrals
    Tests and Quizzes
     p763 [2-32] evens
        skip 24,26
    12
    Varies from above
    Trigonometry to Limits
    Final Review
    Tests and Quizzes
    study guide