Precalculus (Period 2) Assignments

Instructor
Carol Leonard
Term
2011-2012 School Year
Department
(c) Mathematics
Location
124
Description

Course Description

Prerequisite: Algebra 2, Geometry
Co-requisite: none

Precalculus serves as the foundational course for the study of Calculus. It's subject matter can be split into three main components: Trigonometry, Linear Algebra and Mathematical Analysis. Topics covered include Systems of Equations, Trigonometry, Exponential and Logarithmic Functions, Polar Coordinates, Vectors, Sequences and Induction.

Course Materials


Precalculus, 4e, Blitzer, Robert, 2010, Pearson
Link to Powerschool for grades
Link to SuccessNet for online textboox

Essential Standards and Resource Links

Functions and GraphsStudents are able to manipulate functions through transformations, combinations and composition of functions. Students can find the inverse of a function. Students find the roots and poles of a rational function and can graph the function and locate its asymptotes.

Exponential and Logarithmic Functions

Students are familiar with and adept at the addition of complex numbers. They can represent a complex number in polar form and know how to multiply complex numbers in their polar form. They can use the trigonometric form of complex numbers. Students understand and use the properties of logarithms and exponents to simplify expressions, solve problems, approximate or graph them.

Trigonometry Fundamentals
Students can convert between degrees and radians. Students know the definition of sine and cosine as y- and x- coordinates of points on the unit. Students know the six trigonometric functions and can graph them. Students compute, by hand, the values of the trigonometric functions and the inverse trigonometric functions at various standard points. Students know trig identities such as sum, difference, double and half angle formulas, and can use those formulas to prove or simplify other trig identites.

Applications of Trigonometry

Students use trigonometry to determine unknown sides or angles in right triangles. Students know the law of sines and the law of cosines and apply those laws to solve problems.  Students are adept at using trigonometry in a variety of applications. Students can determine polar coordinates of a point given in rectangular coordinates and vice versa. Students represent equations given in rectangular coordinates in terms of polar coordinates. Students can find the dot product of two vectors.


Linear Algebra

Students solve systems of linear equations and inequalities (in two or three variables) by substation, elimination, and graphically. Students solve linear equations in any number of variables by using Gauss-Jordan elimination. Students can compute the inverse of a matrix using row-reduction methods or Cramer’s rule. 
Fundamentals of Calculus Students are familiar with conic sections, both analytically and geometrically, can determine what type of conic section the equation represents; and determine its geometric components (foci, asymptotes, and so forth). Students can give proofs of various formulas by using the technique of mathematical induction.Students are familiar with the notion of the limit of sequences and functions and can determine whether certain sequences converge or diverge.

Assignment Calendar

Upcoming Assignments RSS Feed

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Past Assignments

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Conics assessment - due Friday
You may use your book and notes to complete this assignment
Created by Carol Leonard: Monday, May 14 11:33 AM

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p 909 (5-47) eoo
Practice 10-6 worksheet, odds
Created by Carol Leonard: Friday, April 27 3:37 PM

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p 883 (1-45) eoo
p 887 (1-41) eoo
Created by Carol Leonard: Wednesday, April 25 12:00 PM

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Worksheet- Circles
Created by Carol Leonard: Monday, April 23 12:01 PM

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795 (1-11)odd, 17, 19 and 21

Chapter 7 Test on Friday

Answers to practice test attached
Created by Carol Leonard: Monday, April 16 11:42 AM

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p 774 (1-31) eoo, 45, 55, 59
Created by Carol Leonard: Wednesday, April 11 3:50 PM

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765 (9-29)odd
Created by Carol Leonard: Monday, April 9 4:04 PM

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page 765 (9-29)eoo
Algebra 1 and Geometry review sections of Summative STAR Review
Created by Carol Leonard: Friday, March 30 11:43 AM

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Practice Test - Chapter 6 test Friday
Created by Carol Leonard: Wednesday, March 21 2:09 PM

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p 726 (1-7, 10, 15-23) all
Chapter 6 Test Friday
Created by Carol Leonard: Tuesday, March 20 10:07 AM

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page 719 (1-37) odd, 53,57,61
Chapter 6 Test Friday 3/23
Created by Carol Leonard: Friday, March 16 1:10 PM

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Vectors: page 709 (1-51) odd, 65, 67, 71, 73
Created by Carol Leonard: Wednesday, March 14 11:42 AM

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696 (1-35) odd
Created by Carol Leonard: Monday, March 12 12:27 PM

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p 685 (Mid Chapter Checkpoint) 1-31 odd
Created by Carol Leonard: Friday, March 9 12:10 PM

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672 (1-57) eoo
Created by Carol Leonard: Wednesday, March 7 3:33 PM

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p 661 (1-29) eoo, (41-49) odd
Created by Carol Leonard: Monday, March 5 3:53 PM

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page 652 (1-59) eoo
Created by Carol Leonard: Friday, March 2 3:35 PM

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p 636 (25-97) eoo
Created by Carol Leonard: Wednesday, February 29 4:44 PM

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p 636 (1-24) all
Created by Carol Leonard: Tuesday, February 28 3:53 PM

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Parents, if you are able, please make sure your student has dry-erase markers for use in class! I am sorry but I can't supply enough for everyone in class, and many student's markers are drying up. Thanks!!
Created by Carol Leonard: Tuesday, February 28 3:59 PM

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No Homework - enjoy the break!
Created by Carol Leonard: Friday, February 17 3:51 PM

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p 640 (1-29) eoo, (35-41) odd
Created by Carol Leonard: Wednesday, February 15 3:27 PM

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p 618 (1-26) all
Created by Carol Leonard: Monday, February 13 2:38 PM

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614 (1-61) eoo
Created by Carol Leonard: Friday, February 10 3:04 PM

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p 603 (1-45)eoo and #57
Created by Carol Leonard: Wednesday, February 8 1:34 PM

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p 594 (15-47) eoo
Created by Carol Leonard: Tuesday, February 7 8:02 AM

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p 594 (1-45) eoo
Created by Carol Leonard: Friday, February 3 2:26 PM

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p 584 all
Created by Carol Leonard: Wednesday, February 1 1:33 PM

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Test on Chapter 4 Wednesday
No Homework
Created by Carol Leonard: Monday, January 30 3:41 PM

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Chapter 4 Practice Test
Created by Carol Leonard: Friday, January 27 12:11 PM

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Trigonometry Design Project Due
See attached Document
Created by Carol Leonard: Wednesday, January 18 9:52 AM

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p 574 (29-35, 41 - 49)odd
Graphing project due Friday
Created by Carol Leonard: Wednesday, January 25 3:30 PM

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no assigned homework
Graphing project due Friday
Ch 4 test next week Wednesday
Created by Carol Leonard: Monday, January 23 12:04 PM

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p 546 (1-43) eoo
Trigonometry Design Project Assigned, due Friday January 27
Created by Carol Leonard: Wednesday, January 18 9:52 AM

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No homework
Midterm Exam on Wednesday
May bring one page of notes to the midterm
Created by Carol Leonard: Friday, January 6 1:09 PM

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Practice Midterm
Midterm Exam on Wednesday Jan 11
Created by Carol Leonard: Wednesday, January 4 2:37 PM

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No Homework - Enjoy your holiday!
Created by Carol Leonard: Wednesday, December 21 3:28 PM

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p 486 (1-69) eoo
Created by Carol Leonard: Wednesday, December 14 1:52 PM

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No Homework
Created by Carol Leonard: Friday, December 9 3:17 PM

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Test on Ch 3 Friday
May bring a page of notes
Created by Carol Leonard: Wednesday, December 7 3:22 PM

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Chapter 3 Practice Test
Ch 3 Test Friday
Created by Carol Leonard: Monday, December 5 3:05 PM

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Exponential Growth and Decay p 447/448 (1-35) odd
TEST on Exponential and Logarithmic Functions on Friday 12/9
Created by Carol Leonard: Friday, December 2 12:33 PM

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Logarithmic Equations p 432 (1-77) eoo
Created by Carol Leonard: Wednesday, November 30 5:01 PM

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Review of Logarithms
p 423 (6-26) all
Created by Carol Leonard: Tuesday, November 29 5:58 PM

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p 421 (1-77) eoo
Created by Carol Leonard: Tuesday, November 22 4:11 PM

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p 396 (1-45) eoo
Created by Carol Leonard: Wednesday, November 16 6:23 PM

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No Homework
Chapter 3 test Wednesday
Created by Carol Leonard: Monday, November 14 6:10 PM

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Complete Study Guide
Chapter 3 test on Wednesday
Created by Carol Leonard: Thursday, November 10 6:14 PM

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p 366 (1-33) eoo
Chapter 2 Test Next Wednesday (11/16)
Created by Carol Leonard: Monday, November 7 3:02 PM

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p 376 (1-39) eoo
Created by Carol Leonard: Friday, November 4 6:45 PM

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p 354 (1-69) eoo
Created by Carol Leonard: Thursday, November 3 6:38 PM

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p 321 (1-23) odd
Created by Carol Leonard: Tuesday, October 25 10:25 AM

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Graphing Quadratic Equations'
p 298 (1-43) eoo, (61-69) odd
Created by Carol Leonard: Friday, October 21 4:26 PM

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Complex Numbers
p 284 (1-49) odd
Created by Carol Leonard: Wednesday, October 19 12:00 PM

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Chapter 1 Test Wednesday
Created by Carol Leonard: Monday, October 17 8:38 PM

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Review for test on Wednesday
Chapter 1 Practice Test
p 261 (2, 7, 8, 19, 20)
Created by Carol Leonard: Friday, October 14 5:34 PM

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TEST on Chapter 1 Next Tuesday
HW: p 250 (1-61) eoo, p 271 (15-59)odd
Created by Carol Leonard: Wednesday, October 12 10:36 AM

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p240 (1-37) odd - Inverse Functions
Created by Carol Leonard: Friday, October 7 6:56 PM

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page 200 (1-23)odd
Created by Carol Leonard: Tuesday, October 4 6:36 PM

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page 188 (1-57) eoo
Created by Carol Leonard: Friday, September 30 5:59 PM

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No Homework - Study for test on Wednesday on Chapter P
Created by Carol Leonard: Monday, September 26 7:10 PM

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Study Guide for test on Wednesday
p 159 (1-92) eoo
Created by Carol Leonard: Friday, September 23 6:04 PM

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Inequalities, Absolute Value and Interval Notation
P 126 (1-41, 57-73)EOO
Chapter P Review
P 133 (1-24)ALL, (33-47)ODD
Created by Carol Leonard: Wednesday, September 21 5:31 PM

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Solving Equations

p98 (1-25) eoo, (43-87) eoo

Test Next Wednesday on Chapter P
Created by Carol Leonard: Monday, September 19 6:20 PM

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Factoring page 65 (1-33) eoo, (65-87) eoo
Rational Expressions page 79 (1- 57) eoo
Created by Carol Leonard: Friday, September 16 12:51 PM

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Review of Exponents and Radicals
p 28 (1-63) every other odd problem
p 43 (1-89) every other odd problem
Created by Carol Leonard: Wednesday, September 14 4:14 PM

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Handouts
p11 (1-6)
p14 (1-6)
p17 (1-6)
Signed textbook cards
Created by Carol Leonard: Friday, September 9 5:34 PM

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Signed Syllabus
Diagnostic Tests 1-3
Created by Carol Leonard: Tuesday, September 6 5:38 PM