• Merrillville High School
    Course Scope & Sequence
     
     
    Department:
     Mathematics
    Pre-Calculus/Trigonometry A
    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.1.1,1.3,9.4,9.5,6.4
    Prerequisites
    -Linear Equations
    -Linear Inequalities
    Quizzes
    Problem Sets
    Problem Set 1
    1.  p 9-10
          [2-32]E
          [47-52] all
    2.  P 36 [2-26]E
         42,44.46
    3.  p 46 [8-22]E
        [40-44]E
    Hand in with all work p 46 (7-23) odds.
    2
    PC.1.2, 1.3,9.4,9.1,9.4,9.5
    Prerequisites
     
    -Linear Equations
    -Algebraic Properties
    -Properties of Exponets
     
    -Quiz covering P.3 - P.5
    4.  p 52-3 [2-44]E
    5.  p 58 [2-20] E
    Review
    3
    PC.1.2, 1.3,9.4,9.1,9.4,9.5
    Prerequisites &
    Functions
    -Solving Equations  Graphically and Algebraically.
    -Complex Numbers
    --Interval Notaion
    -Quiz covering P5 - P6
    Test over Prerequisite Chapter
             
    Problem Set II
    1.  P74 [2-12]E
      24, [30-38]E
       
    4
    PC.1.2, 1.3,9.4,9.1,9.4,9.5
    1.5,1.6,1.7,
    Functions
    Cartesian Coordinate System
    -Distance Formula
    -Midpoint Formula
    -Properties of Circles
    -Real Numbers
    - Using Algebraic models to solve equations
    -Functions and thier properties
    Quizzes
    Problem Sets
    2.  P.  94 [2-28]
        36,38,40
       [48-54]
    3.  p 106 [2-28]
       48,50
    4.  P 116 [2-22] E
      Skip 10
    5. p126 [9-30] All
    6.  P 136 [2-28]36 & 38 skip 22, 24
    5
    PC.  1.3,1.5,1.6,1.7,
           1.4,9.1,9.2,9.4

    Functions

    -Composition of Functions
    -Parametric equations
    -Graphical Transformations
    -Modeling with Functions
    Quizzes
    Problem Sets
    Chapter 1 Test
    7.  P 136 [43-54]All
    8.  P 148 [2-24] skip 20
    Page 151 #50 Hand in
    Review
    p 153 [12-32]E
       [42-60] skip 58
    6
    PC.  8.3,2.2,2.3,9.4,9.5,
           6.4,6.5
    Polynomial and Power Functions
     
    Linear and Quadratic Functions and Modeling
    Power Functions with Modeling
    Polynomial Functions of Higher Degree with Modeling
    Quizzes
    Problem Sets
    Problem Set III
    1.  P 169 [2-44]E
         p 170 number 5
    2.  P 182 [2-50]E
    3.  P 205 [2-24]E
    4. Day 1 p215[2-20] E
        Day 2 [22-32]E
       38,40
    7
    PC. 1.1,1.2,9.1,9.2,9.3,9.4,
          9.5
    Polynomial and Power Functions
    Rational Functions
    Real Zeros of Polynomial Functions
    Complex Zeros and the
    Quizzes
    Problem Sets
    5. P 226 [2-24]E
      Day 2 [28-44]
     
    8
    PC. 1.1,1.2,9.1,9.2,9.3,9.4,
          9.5
     
     
    Polynomial and Power Functions
    Rational Functions
     
     
    Fundamental Theorem of Algebra
    Graphs of Rational Functions
    Quizzes
    Problem Sets
    6.  P 232 [2-32] E
    7.  P 242 [2-14]E
        [34-42]E
     
    9
    PC. 2.1,2.2,2.4,9.1,9.3,9.4
    Equations/Inequalities
    Solving Equations in One Variable
    Solving Inequalities in One Variable
     
    Quizzes
    Problem Sets
     
    Review [2-50]E
       day 2 [52-80]E
     
     
    10
    PC. 2.1,8.1,8.3,8.4,9
    PC.  2.19.1,9.2,9.4,8.3
    Exponential, Logistic, and Logaritmic Functions
    Applications of Logarithmic Functions
    Equations Solving and Modeling
    Mathematics of Finance
    Quizzes
    Problem Sets
    1. p 251 [2-34]E
    2. p 270[2-22]E
       30,32,34,40,42,46
    3.  P 289 [2-36]E
    4.  P 301[2-18]36,38
    11
    PC.  2.19.1,9.2,9.4,8.3
    Applications of Logarithmic Functions
    Equations Solving and Modeling
    Mathematics of Finance
    Quizzes
    Problem Sets
     
    12
     
     
     
    Final Review and Final