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Sequential III and III Honors

Page history last edited by Monica Wood 1 yr ago

Math B Topics Covered Prior To Sequential III - III Honors

 

Parent/Guardian Class Introduction.

BUT FIRST LISTEN TO THE WARNING:  Audio Recording Warning.wav (52 seconds)

 Parent-Teacher Audio.wav (11 minutes)


 

Text:   Mathematics: A Topical Approach Course 3 Second Ed. by Bumby and Klutch  Merrill Ó1986

Amsco’s Preparing for the Regents Examination Mathematics B by Davidian and Healy Amsco Ó 2003

 

Supplies (Required by Monday, September 8th– This is a homework assignment.):

Students are required to bring the following supplies to class each day, unless otherwise instructed:

·         Text

·         5 subject spiral notebook with perforated sheets for easy removal.

·         spiral graph notebook  Note:  This notebook will be left at home and brought to class only when instructed.

·         large binder to be used only for this class to hold handouts, tests, and quizzes  Note:  This binder will be left at home and brought to class only when instructed.

·         TI-83+, TI-83+Silver Edition, TI-84+, or TI-84+ Silver Edition, N-Spire (non CAS) graphing calculator

·         6 or 8” straight edge or ruler

·         pens/pencils of several colors

·         Completed homework

·         A smile and positive attitude

 

Classroom Technologies:    TI-84+ graphing calculator, Elmo document camera, computer, digital projector, www, software, wiki

 

Grading and Homework Policy

 

Homework

 

Extra Help is available throughout the day (click to see my schedule).  It is also available before and after school by appointment only.  Students must request before or after school help on the previous day.

 

Course Outline:

I.         Rational Expressions

A.      Graphing Equations and Inequalities

B.     Absolute Equations and Inequalities

II.       Complex Numbers

A.  Nature of the Roots

B.     Sum and Product of the Roots

C.     Quadratic Inequalities

III. Relations and Functions

A.  Definition of a Relation

B.     Definition of a Function

C.     Restricted Functions

D.     Evaluating Functions

E.     Types of Functions

F.      Special Relations

G.     Inverse Variation

H.     Compositions

IV. Transformations

A.  Review in the Coordinate Plane

B.     Symmetry and Odd and Even Functions

C.     Translations of functions

D.     Compositions

E.     Isometry and Other Properties

V.  Exponential and Logarithmic Functions

  1. Laws of Exponents
  2. Solving Exponential Equations
  3. Exponential Functions
  4. Exponential Growth and Decay, including compound interest and continuous compounding
  5. Solving exponential functions by graphing
  6. Logarithmic Functions
  7. Logarithmic Form of an Equation
  8. Properties of Logs and using them to solve log equations
  9. Solving Exponential Equations Using Logs, including real world problems

VI. Trigonometry

A.  Angles in the Unit Circle

B.  Radian Measure

C.  Sine and Cosine

D.  Special Angles

E.  Reference Angles and Special Angles greater than 90°

F.  Angles measured in degrees-minutes-seconds

G.     Reciprocal Functions

H.     Identities

I.         Co-Functions

VII. Graphing Trigonometric Functions

A.  Amplitude, Period, and Frequency

  1. Graph of Two Trigonometric Functions
  2. Line Reflections
  3. Inverse Functions

VIII.Trigonmetric Applications

A.  Law of Cosine

B.     Area

C.     Law of Sine

D.     Ambiguous Case

E.     Forces

F.      Applications

IX. Trigonometric Equations and Identities

A.  Sum and Difference of Two Angles

B.     Double and Half Angles

C.     1st and 2nd Degree Equations

D.     Equations with Two Trig Functions

E.     Proving Identities

XI. Statistics

A.  Summation

  1. Measures of Central Tendency
  2. Measures of Dispersion
  3. Normal Distribution
  4. Regression Analysis

XII. Probability

A.  Bernoulli’s Experiment and Binomial Distributions

B.  Binomial Expansion

 

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