Carol Fisher's Homepage
Precalculus Homepage
Both sections of Precalculus (regular and honors) will proceed at approximately the same pace, and have
the same test/quiz days. However, Precalculus Honors students will explore the concepts in greater depth,
have additional homework, and be held to a much higher level of rigor. Precalculus Honors is particularly
geared to students who will be progressing to AP Calculus AB.
Both Precalculus and Precalculus Honors meet four days per week,
MTWF, with 50 minutes per class.
There are 121 MTWF class meetings in the 2007–2008 academic year:
65 in the Fall term; and 56 in the Spring term.
ALL HOMEWORK ASSIGNMENTS ON INDEX CARDS
ARE AUTOMATICALLY ASSIGNED AS THE CARDS ARE COVERED.
The assignments are NOT repeated here.
WEEK #1, FALL TERM

Monday, September 10, 2007
 35minute classes; modified schedule
 get text as you come in—sign sheet
 check if info is correct on "official" section sheet; sign name
 Sign the CHOOSE YOUR NUMBER sheet while I'm introducing myself!
 Practice "coming into class" routine (pick up Quick Quiz paper, check folder for returned papers,
write homework questions on side board, update your Grade Sheet)
 Quick Quiz: What is YOUR NUMBER for this class?
 Update Grade Sheet: fill in first row—you're starting the year with a 100% average!
 talk about tomorrow's timed addition/multiplication quiz (give samples, with web links)
 talk about supplies: 3ring binder, dividers (syllabus, index cards, grade sheet), 4"x6" index cards (blank both sides)
 REVIEW INDEX CARD (Functions)
 NOTE: TOMORROW'S QUICK QUIZ will be to have your NOTEBOOK WITH DIVIDERS and all papers passed out today in place!

Tuesday, September 11
 QUICK QUIZ: Show me your notebook with dividers, with papers from yesterday in place!
 go around the room; quick introductions!
 TIMED QUIZZES, addition and multiplication
 Go over syllabus (now that you have your notebooks, to put all papers in place)
 Go over Algebra/Geometry yearlong web exercise schedule (including sample quiz for Friday)
 begin INDEX CARD #1a (solving linear inequalities)
HOMEWORK:
 Handwrite each index card as it is covered in class.
 As each index card is completed, the homework on the top of the card is automatically assigned;
these assignments are NOT repeated in this daily schedule.
 EVERY DAY you should work on the review assignment; follow the separate schedule.
If you leave it all until Thursday night, you definitely won't be ready for Friday's quiz!

Wednesday/Thursday, September 12/13
 finish INDEX CARD #1a (solving linear inequalities)

Friday, September 14
 ALGEBRA/GEOMETRY REVIEW QUIZ
 begin INDEX CARDS #1b, #2, #3 (solving nonlinear inequalities; the Test Point Method)
 STUDY FOR MONDAY'S QUIZ over all index cards covered THROUGH WEDNESDAY OF THIS WEEK (not today's material)!
WEEK #2 FALL TERM

Monday, September 17
 MAJOR QUIZ
 INDEX CARDS #1b, #2, #3 (solving nonlinear inequalities; the Test Point Method)

Tuesday, September 18
 INDEX CARDS #1b, #2, #3 (solving nonlinear inequalities; the Test Point Method)

Wednesday/Thursday, September 19/20
 INDEX CARD #4ab (absolute value as distance from zero;
absolute value as distance between two numbers)

Friday, September 21
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #4cd (circles; completing the square technique)
 STUDY FOR MONDAY'S QUIZ
WEEK #3, FALL TERM

Monday, September 24
 MAJOR QUIZ
 INDEX CARD #4ef (slopes of lines; lines)

Tuesday, September 25
 INDEX CARD #5 (distance between two points; midpoint of line segment;
sketching regions in a plane)

Wednesday/Thursday, September 26/27
 INDEX CARD #6 (symmetry; testing equations for symmetry)

Friday, September 28
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #7 (evaluating difference quotients)
 next week's major quiz is postponed to Wednesday/Thursday due to NEASC accreditation
WEEK #4, FALL TERM

Monday, October 1
 INDEX CARD #8 (finding the domain and range of a function)
 INDEX CARD #8.5 (working with linear functions)

Tuesday, October 2
 INDEX CARD #9 (reading information from a graph; increasing/decreasing functions)

Wednesday/Thursday, October 3/4
 MAJOR QUIZ
 INDEX CARD #10 (basic models;
piecewisedefined functions)

Friday, October 5
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #11 (direct variation; inverse variation)
 INDEX CARD #12 (proportionality problems)
 STUDY FOR MONDAY'S QUIZ
WEEK #5, FALL TERM

Monday, October 9
 MAJOR QUIZ
 INDEX CARD #13 (geometric transformations overview/worksheet; transformations involving y )

Tuesday, October 9
 INDEX CARD #14 (transformations involving x ;
horizontal/vertical translations web exercise)

Wednesday/Thursday, October 10/11
 INDEX CARD #15 (horizontal elongations and compressions;
horizontal/vertical scaling web exercise)

Friday, October 12
 ALGEBRA/GEOMETRY REVIEW QUIZ
 more practice with cards #14 and #15
 STUDY FOR MONDAY'S QUIZ
WEEK #6, FALL TERM

Monday, October 15
 MAJOR QUIZ
 geometric transformations chart (back of card #13); rows y3, y6, and x3
 web exercise: reflecting about the x and y axes and the absolute value transformation

Tuesday, October 16
 more practice on reflecting about the x and y axes and the absolute value transformation
 begin geometric transformations web exercise, all mixed up

Wednesday/Thursday, October 17/18
 more practice on geometric transformations web exercise, all mixed up
 (honors only) geometric transformations worksheets #1, #2, and #3

Friday, October 19
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #16 (even and odd functions)
 INDEX CARD #17ab (extreme values of functions; using your calculator to find max/min)
WEEK #7, FALL TERM

Monday, October 22
 short quiz over Geometric Transformations web exercise, all mixed up
 INDEX CARD #17cd (max/min for quadratic functions) (NOT on midterm)

Tuesday, October 23
 INDEX CARD #17ef (intercepts of quadratic function; putting a quadratic function in standard form) (NOT on midterm)
 REVIEW FOR MIDTERM EXAM

Wednesday/Thursday, October 24/25
 MIDTERM EXAM
 GRADE INDEX CARDS
 HAVE A WONDERFUL LONG WEEKEND!
WEEK #8, FALL TERM

Tuesday, October 30
 INDEX CARD #18 (max/min problems)

Wednesday/Thursday, October 31/November 1
 INDEX CARD #19 (combining functions to get new functions;
composition of functions)
 INDEX CARD #20 (practice with function composition; writing a function as a composition)

Friday, November 2
 ALGEBRA/GEOMETRY REVIEW QUIZ
 catchup day
 STUDY FOR MONDAY'S QUIZ
WEEK #9, FALL TERM

Monday, November 5
 MAJOR QUIZ
 finish card 20
 INDEX CARD #21 (using a function box backwards;
onetoone functions)

Tuesday, November 6
 INDEX CARD #22 (undoing a 11 function;
properties of inverse functions)
 INDEX CARD #23 (finding inverse functions)

Wednesday/Thursday, November 7/8
 INDEX CARD #24 (graph of an inverse function; graphing a function and its inverse on your calculator)
 INDEX CARD #25a (polynomials, terminology)

Friday, November 9
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #25b (zeros/roots of polynomials)
 worksheet for card #25
 STUDY FOR MONDAY'S MAJOR QUIZ
WEEK #10, FALL TERM

Monday, November 12
 MAJOR QUIZ
 INDEX CARD #26 (end behavior of polynomials;
turning points of polynomials)

Tuesday, November 13
 INDEX CARD #27 (long division of polynomials;
the division algorithm)
 INDEX CARD #28 (Honors only: the confinement theorem;
approximating solutions to polynomial equations on your calculator)

Wednesday/Thursday, November 14/15 (Friday schedule)
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #29 (complex numbers;
arithmetic with complex numbers)
 INDEX CARD #30 (square roots of negative numbers;
the complex plane)

Friday, November 16 (Wednesday schedule)
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #31 (revisiting the quadratic formula)
 INDEX CARD #32 (multiplicity of a zero; graphical consequences)
 worksheet for card #32
 HAPPY VACATION!!
WEEK #11, FALL TERM

Tuesday, November 27
 INDEX CARD #33 (the fundamental theorem of algebra;
polynomials with real number coefficients)
 worksheet for card #33

Wednesday/Thursday, November 28/29
 INDEX CARD #34 (solving polynomial equations; honors only)
 INDEX CARD #35 (rational functions)

Friday, November 30
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #36 (vertical asymptotes;
puncture points of graphs)
 INDEX CARD #37 (horizontal and
slant asymptotes)
 STUDY FOR MONDAY'S MAJOR QUIZ
WEEK #12, FALL TERM

Monday, December 3
 MAJOR QUIZ
 Begin INDEX CARD #38 (exponential functions)

Tuesday, December 4
 INDEX CARD #38 (exponential functions; graphs of exponential functions)
 begin INDEX CARD #39 (properties of exponential functions)
 web exercise: introduction to exponential functions

Wednesday/Thursday, December 5/6
 finish CARDS #38 and #39 (properties of exponential functions)

Friday, December 7
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #40 (linear versus exponential functions)
 STUDY FOR MONDAY'S MAJOR QUIZ
WEEK #13, FALL TERM

Monday, December 10
 MAJOR QUIZ
 INDEX CARD #41 (the natural exponential function;
special property of the natural exponential function)

Tuesday, December 11
 INDEX CARD #42 (compound interest;
continuous compounding)
 web exercise: the compound interest formula

Wednesday/Thursday, December 12/13
 INDEX CARD #43 (exponential growth; a typical exponential growth problem)

Friday, December 14
 ALGEBRA/GEOMETRY REVIEW QUIZ
 begin INDEX CARD #44 (logarithmic functions)
WEEK #14, FALL TERM

Monday, December 17
 MAJOR QUIZ
 INDEX CARD #45 (laws of logarithms; sample proof)
 web exercise: properties of logarithms

Tuesday, December 18
 INDEX CARD #46 (change of base formula; derivation)

Wednesday/Thursday, December 19/20
 ALGEBRA/GEOMETRY REVIEW QUIZ
 Have a wonderful HOLIDAY BREAK!
WEEK #15, FALL TERM

Thursday, January 3, 2007
 WELCOME BACK!
 INDEX CARD #47 (solving exponential equations;
examples)

Friday, January 4
 ALGEBRA/GEOMETRY REVIEW QUIZ
 INDEX CARD #48 (solving logarithmic equations;
examples)
WEEK #16, FALL TERM

Monday, January 7
 MAJOR QUIZ
 INDEX CARD #49 (using graphical methods to approximate solutions to equations)

Tuesday, January 8
 finish INDEX CARD #49
 INDEX CARD #50 (doubling time and halflife for exponential functions)

Wednesday/Thursday, January 9/10
 INDEX CARD #51 (introduction to trigonometry; two approaches)

Friday, January 11
 ALGEBRA REVIEW QUIZ
 INDEX CARD #52 (the unit circle approach to trigonometry)
WEEK #17, FALL TERM

Monday, January 14
 MAJOR QUIZ
 INDEX CARD #53 (terminal points;
special triangles)

Tuesday, January 15
 INDEX CARD #54 (reference numbers)

Wednesday/Thursday, January 16/17
 INDEX CARD #55 (radian measure;
the two most important trignometric functions)

Friday, January 18
 ALGEBRA REVIEW QUIZ
 INDEX CARD #56 (the other trig functions; finding trig values on your calculator)
WEEK #18, FALL TERM

Monday, January 21
 MAJOR QUIZ
 INDEX CARD #57 (signs—plus or minus—of the trig functions;
finding trig values of special angles)

Tuesday, January 22
 INDEX CARD #58 (fundamental identities: the Pythagorean Identity; cosine is even; sine is odd)

Wednesday/Thursday, January 23/24
 REVIEW (quickly go over all index cards for final exam)

Friday, January 25 (Fall term ends)
 ALGEBRA REVIEW QUIZ
 GOOD LUCK ON FINAL EXAMS!
END OF FALL TERM
FINAL EXAM IS ON TUESDAY, JANUARY 29, 10:00 AM to 12:00 NOON
WELCOME TO THE SPRING TERM!!
WEEK #1, SPRING TERM

Monday, February 4 (Spring term begins)
 INDEX CARD #59 (periodic functions;
period of a periodic function)

Tuesday, February 5
 INDEX CARD #60 (graph of sine and cosine)

Wednesday/Thursday, February 6/7
 INDEX CARD #61 (graphing more complicated sine and cosine functions;
amplitude, period, phase shift)

Friday, February 8
 ALGEBRA REVIEW QUIZ
 INDEX CARD #62 (graph of tangent and
secant functions)
WEEK #2, SPRING TERM

Monday, February 11
 MAJOR QUIZ

Tuesday, February 12
 INDEX CARD #63 (length of a circular arc; why the name RADIAN?)

Wednesday/Thursday, February 13/14
 INDEX CARD #64 (area of a circular sector)

Friday, February 15
 ALGEBRA REVIEW QUIZ
 INDEX CARD #65 (right triangle trigonometry)
WEEK #3, SPRING TERM

Monday, February 18
 MAJOR QUIZ
 begin INDEX CARD #66 (area of a triangle)

Tuesday, February 19
 finish INDEX CARD #66
 INDEX CARD #67 (Law of Sines)

Wednesday/Thursday, February 20/21
 INDEX CARD #68 (How many triangles? Using the Law of Sines to solve for all possible triangles)

Friday, February 22
 ALGEBRA REVIEW QUIZ
 continue with INDEX CARD #68
WEEK #4, SPRING TERM

Monday, February 25
 MAJOR QUIZ

Tuesday, February 26
 INDEX CARD #69 (the Law of Cosines)

Wednesday/Thursday, February 27/28
 begin INDEX CARD #70 (the arccosine function)

Friday, February 29
 ALGEBRA REVIEW QUIZ
 finish INDEX CARD #70
WEEK #5, SPRING TERM

Monday, March 3
 MAJOR QUIZ

Tuesday, March 4
 INDEX CARD #71 (using the Law of Sines and Law of Cosines together)

Wednesday/Thursday, March 5/6
 INDEX CARD #72 (verifying trigonometric identities)
 INDEX CARD #73 (more on verifying trigonometric identities)

Friday, March 7
 ALGEBRA REVIEW QUIZ
 INDEX CARD #74 (addition and subtraction formulas)
WEEK #6, SPRING TERM

Monday, March 10
 INDEX CARD #75 (doubleangle formulas)

Tuesday, March 11
 INDEX CARD #76 ("undoing" trigonometric functions)
 REVIEW FOR MIDTERM

Wednesday, March 12 (Friday schedule)
MIDTERM EXAM

Thursday/Friday, March 13/14 (Wednesday schedule on Friday)
 INDEX CARD #76 ("undoing" trigonometric functions)
 Enjoy Spring Break!
WEEK #7, SPRING TERM

Monday, March 31
 INDEX CARD #77 (the inverse sine function and properties)
 INDEX CARD #78 (examples)

Tuesday, April 1
 INDEX CARD #78 (examples)
 INDEX CARD #79 (precise definitions for arccosine
and arctangent)

Wednesday/Thursday, April 2/3
 INDEX CARD #80 (solving trigonometric equations)

Friday, April 4
 ALGEBRA REVIEW QUIZ
 INDEX CARD #81 (solving trigonometric equations by graphical methods)
WEEK #8, SPRING TERM

Monday, April 7
MAJOR QUIZ

Tuesday, April 8
 INDEX CARD #82 (vectors;
arrow representation for vectors)
 INDEX CARD #83 (analytic representation for vectors)

Wednesday/Thursday, April 9/10
 INDEX CARD #83 (analytic representation for vectors)
 INDEX CARD #84 (unit vectors;
formula for length of a vector)

Friday, April 11
 ALGEBRA REVIEW QUIZ
 INDEX CARD #85 (horizontal and vertical components of a vector; finding direction and magnitude)
WEEK #9, SPRING TERM

Monday, April 14
MAJOR QUIZ

Tuesday, April 15
 INDEX CARD #86 (bearing; velocity vectors; true speed and direction)

Wednesday/Thursday, April 16/17
 INDEX CARD #87 (forces acting on an object)

Friday, April 18
 ALGEBRA REVIEW QUIZ
 INDEX CARD #88 (partial fraction decomposition)
WEEK #10, SPRING TERM

Monday, April 21
MAJOR QUIZ

Tuesday, April 22
 INDEX CARD #89 (different linear factors)
 INDEX CARD #90 (repeated linear factors)

Wednesday/Thursday, April 23/24
 INDEX CARD #90 (repeated linear factors)

Friday, April 25
 ALGEBRA REVIEW QUIZ
 INDEX CARD #91 (irreducible quadratic factors)
WEEK #11, SPRING TERM

Monday, April 28
 MAJOR QUIZ

Tuesday, April 29
 finish Partial Fraction Expansion

Wednesday/Thursday, April 20/May 1
 INDEX CARD #92 (conic sections)
 INDEX CARD #93 (parabolas)

Friday, May 2
 ALGEBRA REVIEW QUIZ
 begin INDEX CARD #94 (equations of parabolas; sketching parabolas)
WEEK #12, SPRING TERM

Monday, May 5
 MAJOR QUIZ

Tuesday, May 6
 finish INDEX CARD #94 (equations of parabolas; sketching parabolas)

Wednesday/Thursday, May 7/8
 INDEX CARD #95 (finding the equation of a parabola)

Friday, May 9
 ALGEBRA REVIEW QUIZ
 start INDEX CARD #96 (ellipses)
WEEK #13, SPRING TERM

Monday, May 12
 MAJOR QUIZ

Tuesday, May 13
 finish INDEX CARD #96
 start INDEX CARD #97 (equations of ellipses; sketching ellipses)

Wednesday/Thursday, May 14/15
 finish INDEX CARD #97
 INDEX CARD #98 (finding the equation of an ellipse)

Friday, May 16
 ALGEBRA REVIEW QUIZ
 start INDEX CARD #99 (hyperbolas)
WEEK #14, SPRING TERM

Monday, May 19
 MAJOR QUIZ

Tuesday, May 20
 finish INDEX CARD #99 (hyperbolas)
 start INDEX CARD #100 (shifted conics)

Wednesday/Thursday, May 21/22
 finish INDEX CARD #100 (shifted conics)

Friday, May 23 (last day of classes)
 PASS IN INDEX CARDS!!
 SCRAPBOOK!
END OF SPRING TERM
FINAL EXAM IS ON THURSDAY, MAY 29, 8:00 AM to 10:00 AM
HAVE A WONDERFUL SUMMER!!