• Merrillville High School
    Course Scope & Sequence
     
     
     
     
     
     
     

    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.
     
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    Course Description

    HONORS 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: Honors Geometry and Honors Algebra II or teacher recommendation

    ·         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

    ·         Dual College credit available, if students qualify(this grade will be reflected in your GPA when you enter college)

     
     
     
    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
    Real Numbers
    Cartesian Coordinate System
    Linear Equattions and Inequalities
    Lines in a Plane
    Solving Equations Graphically, Numericaally, and Algebraically
    Solving Inequalities Algebraically and Graphically
    Quizzes, Test
    Problem Sets
    Problem Set
    1.  page 9 [2-32]E, 38,40, [48-52] E
    2.  page 17   [6-28]evens 30,32,36
    [42-52] evens
    3.  page 25 [6-28]E
    [36-54]E, 70, 72
    4.  page 36
    2,4,9,12,16,24,30,36,42,46,48,52
    5.  page 46
    [2-34]E,40,42,44,[48-56]E, 60
    6.  page 52 [2-44]E
    7.  page 58 [2-30]E  34    
    2
    PC.1.2, 1.3,9.4,9.1,9.4,9.5
    Functions
    Complex Numbers
    Solving Absolute Value Inequalities Algebraically and Graphically
     
    Quizzes
    Problem Sets
     
     
    Prerequisite Test
    Review assignment:
    P.  60
    5,6,18,22,24
    38-80 evens
     
     
     
    3
    PC.  1.3,1.5,1.6,1.7,
           1.4,9.1,9.2,9.4
    Functions and Graphs
    ProModeling and Equations Solving
    Functions and Their Properties
    Twelve Basic Functions
    blem Sets
    Building Functions from Functions
    Relations & Inverse Relations
    Graphical Transformations
    Modeling with Function
    Quizzes, Test
     
    Problem Set I:
    1. P. 74-75 [2-14]E, 20,22,24,
        [30-46]E
    2. p.95 [2-26] E
                [48-66]E
      
    3. p106  [2-28]E 30,32
         38,40,42,50,51,52
    4.  P.  116-7 [2-26]E skip 10
    5.  p. 126  [10-34]E
    6.  P. 136 [2-28]E
         [40-50]E [51-54]All
        
    4
    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
     
    7.  P. 148 [2-20]E
                    [26-40]E
    8.  Highlighted Review Problems and 60,65
     
    5
    PC. 1.1,1.2,9.1,9.2,9.3,9.4,
          9.5
    Rational Functions
    Real Zeros of Polynomial Functions
    Complex Zeros and the Fundamental Theorem of Algebra
     
    Quizzes, Test
    Problem Sets
    Quadrant D Lessons
    Poblem Set 2
    1.  P. 169 [2-12]E 50,52,56
        [14-44]E
        58,60,62
    2.  P. 182 [2-50]E
    3.  P.  193 [2-24] and [24-42]     skip 14 & 16
    4.  P. 205[2-24]E Day 1
          p194 54,56,66,68
        D
    5.  p. 206 [26-40]E
                    [50-56]E
    6
    PC. 1.1,1.2,9.1,9.2,9.3,9.4,
          9.5
     
     
    Rational Functions
     
     
     
    Graphs of Rational Functions
    Quizzes, Test
    Problem Sets
    Quadrant D Lessons
     
    6. P 215 [2-40] E
    7. day 1 p225    [2-30] Evens
     
      day 2; 40,44,46,52,58
    7
    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, Test
    Problem Sets
    Quadrant D Lessons
    9.  P 242                             4,10,22,30,36,38,46,52
    10.  Chapter Review [2-82]
    skip 8,16,24,28,46,48,52,56,60,
    64,66
    8
    PC. 2.1,8.1,8.3,8.4,9
    Exponential Functions
     
    Exponential and Logistic Functions
    Exponential and Logistic Modeling
    Logarithmic
     
     
    Quizzes, Test
    Problem Sets
    Quadrant D Lessons
    Problem Set 3
    1. P  261 [2-38]Evens
        42,48,56,58
    2.  P 270 [2-34]evens
    3.  P 281 [2-40]E
       [42-52] state transformations
    60,62
    9
    PC. 2.1,8.1,8.3,8.4,9
    Exponential, Logistic, and Logaritmic Functions
     
    Functions and Their Graphs
    Properties of Logarithmic Functions
     
     
    Quizzes, Test
    Problem Sets
    Quadrant D Lessons
    4.  P. 289 [2-36]Evens 52, 54
    5.  P 301 [2-18] E
                   [26-38]
     
    10
    PC.  2.19.1,9.2,9.4,8.3
    Applications of Logarithmic Functions
    Equations Solving and Modeling
     
    Quizzes, Test
    Problem Sets
    6.  P 310 [2-12]Evens
                  [22-30]Evens
    11
    PC 1.7,1.10,9.4,9.5
    9.1,1.3
     
    Mathematics of Finance
    Quizzes, Test
    Problem Sets
     
    12
     
    Review for Final Exam
     
     
    Review Packet for final exam