asjmathematics

 

Honors Precalculus

Page history last edited by Monica Wood 1 yr ago

 

Parent/Guardian Class Introduction.

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

 Parent-Teacher Audio.wav (11 minutes)

 

Text:                    Functions Modeling Change:  A Preparation for Calculus by Connally, Hughes-                 Hallett, Gleason, et al. Third edition John Wiley & Sons, Inc. Ó2007

 

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.         Functions, Lines, and Change

A.      Functions and Function Notation

B.     Rate of Change

C.     Linear Functions

D.     Formulas for Linear Functions

E.     Geometric properties of Linear Functions

F.      Linear Regression Review

II.       Functions, Quadratics, and Concavity

A.  Input and output

B.     Domain and range

C.     Piecewise defined functions

D.     Inverse functions

E.     Concavity

F.      Quadratic functions

III. Exponential Functions

A.      Exponential functions as a constant percent rate of change

B.     Comparing exponential and linear functions

C.     Graphs of exponential functions

D.     Continuous growth and e

E.     Effective rate vs. nominal rate of change

IV. Logarithmic Functions

A.  Logarithms and their properties

B.     Logarithms and exponential models

C.     The Logarithmic function

D.     Logarithmic scales

V.  Transformations of Functions and Their Graphs

 

      A.  Vertical and horizontal shifts

      B.  Reflections and symmetry

      C.  Vertical stretches and compressions

      D.  Horizontal stretches and compressions

      E.  The family of quadratic functions

VI. Trigonometric Functions

A.      Intro to periodic functions

B.     Sine and cosine functions

C.     Radians

D.     Graphs of sine and cosine

E.     Sinusoidal functions

F.      Other trig functions

G.     Inverse trig functions

VII. Trigonometry

A.   Laws of Sine and Cosines

      B.   Trigonometric identities

      C.  Sum and difference formulas for sine and cosine

      D.  Polar coordinates

      E.  Complex numbers and polar coordinates

VIII.Compositions, Inverses, and Combinations of Functions

A.  Compositions

B.     Inverse functions

C.     Combinations of functions

IX. Polynomial and Rational Functions

A.  Power functions

B.     Polynomial functions

C.     Short-run behavior of polynomials

D.     Rational functions

E.     Short-run behavior of rational functions

F.      Comparing power,, exponential, and polynomial functions

XI. Sequences and Series

      A.  Sequences

      B.  Defining functions using sums:  arithmetic series

      C.  Finite geometric series

      D.  Infinite geometric series

XII. Intro to Calculus Topics

A.  Continuity

      B.  Intro to limits

      C.  Evaluate limits by factoring

      D.  Properties of limits

      E.  Average rate of change and instantaneous rate of change

      F.  Intro to derivatives

      G.  Find a derivative from a graph, table, function

 

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