Precalculus2011-2012

= Precalculus Honors/PreAP 2011-2012 =

=Course Information:=
 * === Syllabus: ===
 * === [[file:precal syllabus.doc]] ===
 * === Provide your feedback here ===
 * === Enroll in UT online homework server: [[file:UT Online Homework Enrollment 2011-12.pdf]] ===
 * === Calendar: ===
 * === 1st 9 weeks: [[file:1st 9 weeks.doc]] ===
 * ===** 2nd 9 weeks: **[[file:Calendar 2nd 9 weeks.pdf]]===
 * ===** 3rd 9 weeks:[[file:3rd nine weeks calendar.pdf]] **===
 * ===** 4th 9 weeks: [[file:4th nine weeks calendar'.pdf]] **===

=Spring Semester Final Exam=
 * Final Exam Review Problems: [[file:Precal Final Exam Spring 2012 Study Guide.pdf]]
 * Final Exam Review Problems with Answers:[[file:Precal Final Exam Spring 2012 Study Guide with answer'''.pdf]](updated, the corrected answers for #22, 35, 38)
 * May 25 (Friday):
 * 12:30 - 2:30pm: 6th period exam
 * May 29 (Tuesday):
 * 7:30 - 9:30am: 2nd period exam
 * 9:40 - 11:40am: 4th period exam
 * May 30 (Wednesday):
 * 7:30 - 9:30am: 3rd period exam
 * 9:40 - 11:40am: 5th period exam
 * Early Dismissal
 * May 31 (Thursday):
 * 7:30 - 9:30am: 1st period exam
 * 9:40 - 11:40am: 7th period exam
 * Early Dismissal

=Ch.9: Sequence and Series=
 * Worksheet on Sequence and Series: [[file:practice problems sequence series [with answers]'.pdf]]
 * **Quiz: Sequence and Series (including arithmetic): Monday, 04-23**
 * Worksheet on Time Value of Money with answers: [[file:Worksheet Time Value of Money with answers'.pdf]]
 * Counting Principles Notes: [[file:Counting Principles.ppt]]
 * Answers to the two worksheets on Counting Principles: [[file:answer lists to worksheets on counting principles.pdf]]
 * Practice Problems on Counting Principles, Binomial Theorem, and Probability (with answers):
 * [[file:Practice Problems Counting & Binomial Theorem & Probability [with answers].pdf]]
 * ** Quiz: Counting Principles, Binomial Theorem, and Probability, Friday, May 18 **
 * ** Test: Ch.9, Tuesday, May 22 **
 * Use school calculator only
 * Practice Problems: [[file:Practice Problems for Ch.9.pdf]]
 * Answer List: [[file:Practice Problems for Ch.9 with answers.pdf]]

=Ch.10, Sec 10.6: Parametric Equations=
 * Worksheet on Linear and Quadratic Parametric Equations: [[file:Worksheet Parametric Lines [with answers].pdf]]
 * Worksheet on Circles and Ellipses: [[file:Worksheet Parametric Circle & Ellipse.pdf]]
 * Worksheet on Parabola and Hyperbola: [[file:Worksheet Parametric Parabola & Hyperbola.pdf]]
 * Worksheet on Projectile Motion (Parabola) with answers: [[file:Parametric Application Worksheet Day 1 - Projectile.pdf]]
 * Parametric Worksheet with answers (unrevised): [[file:parametric packet answers.pdf]]
 * **Correction: #15 the Y equation for Lion should have been y=51+0.1t, which makes the minimum distance 9.752 miles at t=118.539 minutes.**
 * **Quiz: Parametric Equations (including conics): Tuesday, 4-10**
 * **Quiz: Applications of Parametric Equations: Friday, 04-13**
 * **Test: Parametric Equations and Applications: Monday, 04-16**

=Ch.10, Sec 10.7-10.9: Polar= >>>>> >>>>>
 * Polar Graphing Paper:[[file:PolarGraphPaper.pdf]]
 * Problems on Conversions between Polar and Rectangular:[[file:practice problems polar conversion [with answers].pdf]]
 * **Quiz: Sec 10.7: Polar Coordinates and Polar/Rect Conversion, Monday, 03-26**
 * **Quiz: Sec 10.8: Polar Graphs, Thursday, 03-29**
 * Polar Graph Practice Problems (with answers): [[file:polar graph practice [with answers].pdf]]
 * ** UT HW #5: Due Saturday, 04-14 **
 * **Test: Polar: Tuesday, 04-02**
 * Review Problems with answers: [[file:Practice Problems Polar [with answers]''.pdf]]
 * **Polar Graphing Calculator Project: Due Monday, 04-30**
 * Rough Draft: Due Friday, April 13
 * Project Instruction & Grading Rubric: [[file:Polar Project Rubric'.pdf]]
 * Other instruction and Sample Program: [[file:Project Instruction and Sample.pdf]]
 * The Calculator File for the Sample Program: [[file:PSAMPLE.8xp]]
 * Recommended Program to connect calculator with computer: "**TI Connect"**.
 * **To get the code from the program (.8xp file), there are two ways:**
 * **1st Method: Use the "TI Graph Link" program here**
 * ** Download and install (TI 83 plus) **
 * ** Copy the calculator program file (.8xp) to your computer (using TI Connect - TI DeviceExplorer) **
 * ** Open the 8xp file from the "TI-Graph Link" program **
 * ** Should look like this: **
 * **2nd Method: Use this link**
 * **First copy the calculator program file (.8xp) to your computer** ** (using TI Connect - TI DeviceExplorer) **
 * **Then upload the file** ** (.8xp) **** to the website **
 * **Parse File to see the code (click on the little downward arrow)**
 * **Should look like this:**

=Ch.10: Conics= >> >> >>
 * Circle worksheet: [[file:Worksheet Circle [with answers].pdf]]
 * ** Quiz: Slope, Distance, Parabola, and Circle, Friday, 03-02 **
 * ** Quiz: Ellipse and Hyperbola, Tuesday, 03-06 **
 * Practice Problems with answers: [[file:Practice quiz ellipse hyperbola [with answers].pdf]]
 * ** Test: Conics, Sec 10.1-10.5, postponed to Monday, 03-19 **
 * Practice Problems (with answers): [[file:Practice Problems on Conics [with answers].pdf]]
 * Notes on Rotations of Conics (self reading, will be on the test):[[file:Notes on Rotation of Conics.pdf]]
 * Summary on Conics: [[file:Summary on Conics.pdf]]

=Ch.3: Exponential and Logarithmic Functions=
 * ** Quiz: Sec 3.3: Properties of Logarithms, Thursday, 02-02 **
 * ** Quiz: Sec 3.4: Exponential and Logarithmic Equations, Monday, 02-06 **
 * ** UT HW #4 Due Wednesday, 02-22, 11:59pm **
 * **Test: Sec 3.1-3.4, Thursday, 02-09**
 * Review Problems:
 * [[file:Practice Problems on Sec 3.1-3.4 Part I [with answers].pdf]]
 * [[file:Practice Problems on Sec 3.1-3.4 Part II [with answers only].pdf]]
 * Notes for Interest, Growth and Decay, and Optimizations
 * [[file:Compound Interest.ppt]]
 * [[file:Compound Interest II.ppt]]
 * [[file:Growth and decay.ppt]]
 * [[file:Other Models.ppt]]
 * [[file:Optimization.ppt]]
 * ** Quiz: Simple/Compound Interest, Tuesday, 02-14 **
 * [[file:Practice Quiz Compound Interest [with answers].pdf]]
 * ** Quiz: Growth, Decay, and other Models, Thursday, 02-16 **
 * Additional problems: [[file:exp log model worksheet with answers.pdf]]
 * ** Quiz: Optimization, Tuesday, 02-21 **
 * [[file:Optimization1.pdf]]
 * [[file:Optimization2.pdf]]
 * ** Test: Exp/Log Models & Optimization, Thursday, 02-23 **
 * Practice Test:[[file:Practice Test Exp Log Model & Optimization [with answers]'.pdf]]

=Ch.2: Polynomial and Rational Functions=
 * ** Quiz: Sec 2.3: Long/Synthetic Division & Remainder Theorem, Friday, 01-06 **
 * Answer List to the Synthetic Division & Remainder Theorem worksheet:
 * [[file:worksheet on Synthetic div and remainder thm [key]'.pdf]]
 * ** Quiz: Sec 2.3&2.5: Remainder Theorem, Factor Theorem, Zeros of Polynomials, Wednesday, 01-11 **
 * Practice Quiz with answers: [[file:Practice Quiz zeros of polynomials [with answers].pdf]]
 * Worksheet: Sum and Product of Roots:
 * [[file:Worksheet Sum Product of roots.pdf]]
 * ** Quiz: Sec 2.7: Polynomial & Rational Inequalities, Tuesday, 01-17 **
 * ** UT HW #3 Due date postponed to Tuesday, 01-24 **
 * **Test: Sec 2.3, 2.5, 2.7, Thursday, 01-19**
 * Review Problems (with answers): [[file:Practice Problems Sec 2.3 2.5 2.7 [with answers].pdf]]
 * Also study previous quizzes, practice problems, and homework problems
 * Theorems you need to know concerning roots of polynomials (created by Mr. Lewis):
 * [[file:Theorems concerning roots of polynomials.pdf]]
 * ** Quiz: Sec 2.2&2.6: Graphs of Polynomial and Rational Functions, Wednesday, 01-25 **
 * Practice Problems: [[file:practice problems for graphs of polynomials and rational functions [with answers].pdf]]

=Ch.6: Additional Topics in Trigonometry=
 * ** Quiz: Laws of Sine and Cosine, Tuesday, 11-29 **
 * Including bearing, course, and area of triangles.
 * ** Quiz: Triangles and Vectors, Monday, 12-05 **
 * **Test: Ch.6, Thursday, 12-08**
 * Part I: with Calculator
 * Part II: without Calculator
 * Review Problems: [[file:review problems ch.6.pdf]]
 * Answers: [[file:review problems ch.6 with answers.pdf]]

=Ch.5: Analytic Trigonometry=
 * **Quiz: Trigonometry Identities, Tuesday, 11-01**
 * **Quiz: Trigonometry Equations, Friday, 11-04**
 * **Test: Sec 5.1-5.3, Tuesday, 11-08**
 * Test Review: [[file:Review for Test Sec 5.1-5.3'.pdf]]
 * Also review old quizzes, homework problems, and UT homework problems
 * Review Answer Key: [[file:Review for Test Sec 5.1-5.3 [with answers]'.pdf]](revised)
 * **UT HW #2 Due Wednesday, 11-16, 11:59 pm**
 * **Quiz: Sum and Difference Angle Formulas, Friday, 11-11**
 * Practice Problems: [[file:Practice Problems Sum Difference Angles with answers.pdf]]
 * **Quiz: Double and Half Angle Formulas, Wednesday, 11-16**
 * ** Test: Ch.5, Friday, 11-18 **
 * Review Problems: [[file:Review for Test Ch.5'.pdf]]
 * Answer List: [[file:Review for Test Ch.5 [with answers].pdf]]
 * Also study past quizzes, homework problems, UT hw.
 * There will be problems involving sum-to-product and product-to-sum formulas, but sum-to-product and product-to-sum formulas will be given on the test, so these 8 formulas are not required to be memorized.

=Ch.4: Trigonometry=
 * **Quiz: Sec 4.1, Wednesday, 09-28**
 * Including conversions between degrees, radians, and degree/minute/second, arc length, area of sectors, angular and linear speed, and applications of trigonometry
 * Practice Quiz [with answers] (revised answer for #4): [[file:Quiz Practice Sec 4.1 [with answers].pdf]]
 * **Quiz: Evaluating Trigonometry Values, Friday, 09-30**
 * Including evaluating trigonometry values at any angle
 * Practice Problems given in class: [[file:Trig Value Workshop 1 [with answers].pdf]]
 * **Test: Sec 4.1-4.4, Wednesday, 10-05**
 * Review Sheet with Answers: [[file:Review for Sec 4.1-4.4 [with answers].pdf]]
 * **Graphs of Trigonometry Functions**
 * Answer Key to Graphs of Sine and Cosine Packet: [[file:Sin Cos Graph Packet [Key].pdf]]
 * Answer Key to Graphs of tan, cot, sec, and csc Packet: [[file:tan cot sec csc graph packet [answers].pdf]]
 * ** Quiz: Graphs of Trigonometry Functions (Sec 4.5, sin and cosine), Tuesday, 10-11 **
 * ** Quiz: Graphs of Trigonometry Functions (Sec 4.6, tan, cot, sec, csc), Thursday, 10-13 **
 * **Quiz: Inverse Trigonometry, Wednesday, 10-19**
 * **Quiz: Applications of Trigonometry, including bearing & course, angles of elevation & depression, and sinusoidal models [with calculator]**
 * Answer List to the Sinusoidal Model Packet: [[file:Answer list to Sinusoidal Model Packet.pdf]]
 * **Test: Sec 4.5-4.8, including sinusoidal models (__one day test with two parts__)**
 * Part I - with calculator: using calculator to evaluate trig and inverse trig values, bearing & course, angles of elevation & depression, and sinusoidal models
 * Part II - no calculator: graphs of trig functions, trig and inverse trig functions
 * Test Review (test questions from 2 years ago, which was a 2-day test): [[file:Review for Test Sec 4.5-4.8.pdf]]
 * Suggested time: 90 minutes, 45 minutes on each part
 * Answers to Test Review: [[file:Review for Test Sec 4.5-4.8 [with answers]'.pdf]]

=Ch.1: Functions and Their Graphs=
 * **Quiz: Sec 1.4-1.5, Tuesday, 09-06**
 * Including piece-wise functions, finding zeros, domain, difference quotient, and average rate of change of functions, and determining even/odd and symmetries of functions.
 * **Quiz: Sec 1.6-1.7, Thursday, 09-08**
 * Graphing piece-wise functions, functions involving absolute values(such as f(x)=2x+|x|), and transformations of functions and graphs.
 * **Transformation Assignment (Major Grade): Tuesday only, in class, 09-13**
 * Graphing transformed graphs from parent functions and from a given graph.
 * Including translation, reflection, stretch/shrink, absolute value, and reciprocal transformations
 * Answers to the transformation packet:
 * packet:[[file:Transformation Assignment Practice Packet.doc]]
 * answers(revised, #9 is fixed):[[file:Transformation Assignment Practice Packet [with answers][revised].doc]]
 * Some practice on parent functions and transformations:
 * [[file:Parent Function Practice.doc]]
 * **Quiz: Sec 1.8-1.9, Monday, 09-19**
 * Domain, Range, Composition, Inverse Functions
 * **Test: Ch.1, Wednesday, 09-21**
 * Review problems (with answers): [[file:Review Ch 1 (revised).doc]]

=Algebra Review:=
 * Complete the Algebra Review Packet by Wednesday, 08-24.
 * Algebra Review Packet: [[file:Algebra review packet.doc]]
 * Answer Key: [[file:Algebra review packet [with answers].doc]]
 * **Algebra Review Test: Thursday, 08-25, No Calculator.**
 * **Trigonometry Table: Memorize to prepare for quizzes starting in Sept.**
 * [[file:Trigonometry Table.doc]]