Resources (Updated 9/21)
Office Hours
Mondays & Fridays Period 6, Wednesdays 8:05 AM - 8:50 AM, Room 719D
Learning Commons Hours
Thursdays 3:30 PM, Room 632
You may also drop by Room 719D whenever I am free (see Dr. Freeman's Daily Schedule posted above), and I will be happy to help you, if I am available. If you would like to guarantee my availability, or require more than 10 minutes, I would invite you to schedule an appointment, either by email or in person.
Blank Copies of Old Exams (solutions can be found on the corresponding pages of this website)
Announcements (Updated 1/16)
The Final Exam is scheduled for Wednesday 1/16 from 1:35 PM to 3:20 PM (Periods 6 & 7) in Room 630.
The Exams from this semester have been added to the Blank Copies of Old Exams folder.
There will be no more Quizzes.
Solutions for Exam 3 are posted below. Please review them, and if anything is unclear, get it resolved.
Please see updates to Presentation Assignment 2 posted below - due date extended.
Exam 3 will be on Friday 12/21.
Solutions for Exam 2 are posted below. Please review them, and if anything is unclear, get it resolved.
Note: You are responsible for monitoring the DeltaMath assignments and due dates from DeltaMath. They will not be posted here.
Quiz 8 will be on Monday 12/10 and will cover HW 5.R.
Exam 2 will be on Mon 11/19 and will cover through HW RF.5.
Please be aware that some of the material on polynomials that will be covered by your Exam 2 was covered on Exam 1 in past years, and so you should practice those problems as well.
Quiz 6 on Friday 11/9 will cover HW 11.7 and HW RF.1 as well as related material discussed in class.
Here are the answers to the "find the polynomial" problems in HW Poly.C (answer to problem 8 updated 11/1). For problem 8, the multiplier "a" can be any real number other than zero, so the answer is not unique. For the other problems, the answer is unique.
Quiz 5 on Friday 11/2 will cover HW Poly.C and HW Poly.D as well as related material discussed in class.
Solutions for Exam 1 are posted below. Please review them, and if anything is unclear, get it resolved.
Quiz 4 on Friday 10/26 will cover HW Poly.A and HW Poly.B as well as related material discussed in class.
Exam 1 will be Friday 10/19 and will cover through HW 13.6C. Thursday 10/18 will be a review day; please bring questions and problems that you would like to discuss to class.
Here is a nice correct, concise student-solution to Quiz 3.
There will NOT be a Quiz on Friday 10/12.
Presentation Assignment 1 is due Monday 10/15.
As the HW 14.2 due date has been extended, please use the long weekend to work on Presentation Assignment 1.
Quiz 3 on Friday 10/5 will cover HW 13.5.
Quiz 2 on Friday 9/28 will cover HW 13.2 & HW 13.3.
The first Quiz will be on Friday 9/21 and will cover HW 13.1.
Welcome to Pre-Calculus.
Presentation Assignments (Updated 12/30)
Due on Tuesday January 8. You are only required to hand in two Problems, one of which must be Problem 1.
Presentation Assignment 1 is due Monday 10/15.
Homework (Updated 1/10)
(Note: You are responsible for all Homework posted and/or updated before 5:00 PM the school day before the due date. Due dates are subject to change, so please check them carefully.)
Notes:
(1) Some assigned textbook problems have a "calculator graphing" component, which can be done using Desmos. That part of the problem (only) is optional; the rest of the problem is required.
(2) You can often check your answers to the even numbered problems using Wolfram Alpha. Note that on Wolfram Alpha (and many other places), "log" denotes the natural logarithm that we normally denote by "ln".
HW Inverse Trig Compositions
1) Spring 2014 Exam 3 Problems 5, 7
2) Make up (and solve) at least 3 problems similar to those in Spring 2014 Exam 3, Problem 1. Check your answers on Desmos and/or Wolfram Alpha. Be prepared to share you problems with the class on Friday.
Due Fri 1/11
HW 7.5b (Inverse Trig Functions 2)
Page 509 Problems 2, 7, 8, 23-43 odd
Also, sketch the graph of y = arctan(tan(x)). (Hint: similar to y = arcsin(sinx) that we did in class - but fundamentally different.) Check your graph against Desmos.
Due Thu 1/10
HW 7.5a (Inverse Trig Functions 1)
Page 509 Problems 1, 3, 4, 5, 6, 9, 10
Due Tue 1/8
HW Trig Graphing
Page 522 Problems 29-47 odd. Also graph:
(1) y = sin(1/x) (by plotting points and using your knowledge of the sine function)
(2) y = (sin x) / x (by plotting points and using your knowledge of the sine function)
(3) y = sin|x| and y = |sinx| (by using your knowledge of the absolute value and sine functions)
(4) y = | |sin x| - 1 | (by using your knowledge of transformations, and the absolute value and sine functions)
(5) y = sin|x - pi/4| and y = cos|x - pi/4| (by using your knowledge of transformations, and the absolute value and sine functions)
(6) y = ln(sin x) and y = ln|sin x| (by using your knowledge of the logarithmic, absolute value, and sine functions)
Due Mon 1/7
HW Exam 3 Practice
Due the 2017 Exam 3 for practice.
Due Thu 12/20
HW Unit Circle Practice
See DeltaMath
Due Tue 12/18
HW EO2 (Even/Odd Part 2)
Do Problems 1 and 2 only for these problems.
Due Mon 12/17
HW EO1 (Even/Odd Part 1)
Do these problems.
Problem 2 Answers: f odd, g neither, h even, q, even, z both
Due Fri 12/14
HW GLC (Graphing Log Compositions)
Complete the Problems you began working on in class and check your answers against Desmos.
Due Mon 12/10
HW 5.R (Exponential & Logarithmic Function Chapter Review)
Page 391-2, Problems 5-67 odd. You are responsible for being able to do these problems. Do as many as you need to do for practice, and check your answers in the back of the book.
Find explicit "calculator ready", rather than decimal solutions. Interpret "log x" to mean base 10 logarithm, but do not use this notation in your written work.
Due Thu 12/6
HW DeltaMath Test
1) Go to DeltaMath
2) Create a Student Account using Teacher Code: 367971
3) Complete the assignment: Pre-Calculus Log Review
Due Tue 12/4
HW 3.7 (Inverse Functions)
Page 247 Problems Any/All. You are responsible for being able to do these problems. Do as many as you need to do for practice.
Also for the quadratic function f(x) = x^2 + 3x - 2, find the restricted domains for which the function will be invertible (and the inverse function will be a half-parabola) and formulas for the corresponding inverse functions (like the example we did at the end of class).
Due Thu 11/29
HW RF.5 (Abs Val Part 1)
For Problem 63 in HW RF.3 below, try inserting some absolute values signs on one or more of the factors (after factoring the numerator and denominator). Graph the modified function, and check your graph using Desmos. Do this for at least 3 modified versions of the function.
Due Fri 11/16
HW RF.4
Page 326 Problems 65-71 odd
"Use a graphing device to confirm you answer" is optional but recommended.
Due Thu 11/15
HW RF.3
Page 326 Problems 45-63 odd. Also calculate any points where the graph crosses the horizontal asymptote.
"Use a graphing device to confirm you answer" is optional but recommended.
Due Tue 11/13
HW RF.2
For the same four Problems as RF.1:
Put each rational function into the form r(x) = A + B / (x - C).
Find the inverse function.
Figure out a way to check your work using DESMOS and/or Wolfram Alpha.
Due Fri 11/9
HW RF.1
Page 326 Problems 41, 42, 43, 44
Also, find the vertices of each hyperbola. Check your results by graphing both the functions and the vertices on DESMOS.
Due Thu 11/8
HW 11.7 (Partial Fractions)
Page 735 Problems 3-43 odd. Please complete as much as you can for Thu 11/1. If you come across a problem where the denominator has a quadratic factor with no real zeroes (e.g. Problems 7, 9, & 11), you should defer that problem until after we discuss Case 3 and Case 4 on Thursday.
Due Thu 11/1 (problems where the denominator can be factored into real linear factors; i.e. Case 1 and Case 2)
Due Mon 11/5 (problems where the denominator cannot be factored into real linear factors; i.e. Case 3 and Case 4)
HW Poly.D
Page 303 Problems 41, 47, 49, 51
Page 313 Problems 45, 49, 53, 57, 61, 65, 67, 70, 72
Page 286 Problems 27-39 odd (graphs). You should have already factored Problems 27-39 odd in HW Poly.C.
Also make sure you can graph quadratic functions such as Page 272 Problems 23-32. "Standard Form" in the textbook is what we usually call "Vertex Form".
Due Mon 10/29
HW Poly.C
Page 286 Problems 27-39 odd, 30, 36. Just factor each polynomial into the form P(x) = a(x - c1)(x - c2)...(x - cn), where {c1, c2, ... cn} are the zeroes and 'a' is a real constant. DO NOT GRAPH.
Page 294 Problems 57, 58, 62-68 (all).
Also try these problems.
Due Fri 10/26
HW Poly.B (Polynomials Part B)
Page 294 Problems 25-51 odd (do as many as you need to for review), Problems 53-56 (all), 69
Due Thu 10/25
HW Poly.A (Polynomials Part A)
Page 293 Problems 13, 14, 19, 21, 23
Due Mon 10/22
HW 13.6C (Binomial Theorem Part C)
(1) Page 869 Problem 82. Is there a term that does not depend on b? If so, find it. Also do this problem.
Due Thu 10/18
HW 13.6B (Binomial Theorem Part B)
Page 866 Problems 29-45 odd
Due Thu 10/18
HW 13.6A (Binomial Theorem Part A)
Page 866 Problems 5-15 odd, 23, 24 [Note that, in the book, "Find the 24th term" means the term with k = 23 (since k starts at zero)]
Due Tue 10/16
HW (Pascal's Triangle)
Redo the proof of the identity C(n,k-1) + C(n,k) = C(n+1,k), referring to your class notes only as necessary. Repeat until you can do it without referring to your class notes.
Due Fri 10/12
HW 14.2 (Permutations & Combinations)
Page 888-9 Problems 23, 27, 31, 45, 49, 55, 56, 63, 71, 77
Due Thu 10/11 (extended!)
HW 13.5B (Mathematical Induction)
Stewart Page 857 Problems 3-25 odd (you should also be able to write Problems 3-13 odd in sigma notation).
Due Thu 10/4
HW 13.5A (Mathematical Induction Test Drive)
Stewart Page 857 Problems 1, 2, 20
Due Mon 10/1
HW 13.3C (Fun with Series)
Complete the Series Problems on the handout distributed in class and check your answers. Also try checking a couple of the answers
using Wolfram Alpha. For example, cut and paste: "sum 3^(1-2k) / 2^(1-3k) from k = 0 to infinity"
Due Fri 9/28
HW 13.3B (Geometric Sequences Part B)
Stewart Page 844 Problems 43-61 odd, 66, 70
Due Thu 9/27 (Revised & Extended)
HW 13.3A (Geometric Sequences Part A)
Stewart Page 844 Problems 9-41 odd (Revised)
Due Mon 9/24
HW 13.2B (Arithmetic Sequences Part B)
Stewart Page 836-7 Problems 43-53 odd, 59
Due Fri 9/21
HW 13.2A (Arithmetic Sequences Part A)
Stewart Page 836-7 Problems 5-41 odd
Due Thu 9/20
HW 13.1B (Summation Notation)
Stewart Page 830-1 Problems 33-47 odd, 49-53 odd (use Wolfram Alpha), 55-69 odd
Due Tue 9/18
HW 13.1A (Sequences)
Stewart Page 830-1 Problems 3-17 odd, 25-32 (all)
Due Mon 9/17
HW 0.0 (Email)
Please send me a short introductory email describing yourself, your interests, your career aspirations, your feelings toward mathematics, and your mathematical experience here at BHSEC. Also, please include the phone number and the email address of your parent/guardian. (This is required, even if you have done it for a previous course.)
Due by 9AM Mon 9/17
Exam Results (Updated 1/2)
Note: All Exam Statistics are before adding make-up points (if applicable).
Exam 1
Statistics
Student Work
Exam 2
Statistics
Student Work
Exam 3
Statistics
Student Work