PRE-CALCULUS
EXPECTATIONS:
1. You will be on time and prepared for class each day.
2. You will participate in class.
3. If you have trouble with a topic, you will make arrangements to see Ms. Rounds during a prep-period or after school to get help.
4. You are responsible for getting caught up if you are absent from class. This includes printing the notes from Ms. Rounds’ website, turning in any assignments that were collected, and making up exams or quizzes within 3 daysof your absence.
5. Approximate dates of all exams are listed in the syllabus. Please be in attendance on exam days.
GRADING POLICY:
1. This class will be run as a college course therefore
LATE WORK WILL NOT BE ACCEPTED.
2. Your grade will consist of 3 parts;
a. Exams and Benchmarks 34%
b. Homework33%
c. Quizzes and Notebook Checks 33%
MATERIALS FOR CLASS:
1. 5-SUBJECT NOTEBOOK FOR DAILY NOTES and HOMEWORK. Homework will be checked daily, be prepared as assignments will not be accepted late.
2. PENS, PENCILS, GRAPHING CALCULATOR
3. YOU DO NOT NEED TO BRING YOUR TEXTBOOK TO CLASS. THERE ARE PLENTY OF EXTRA BOOKS AVAILABLE WHEN WE NEED TO USE THEM IN CLASS
Dear Parent(s)/Guardian(s) and Student:
The curriculum for Pre-Calculus at Adirondack High School involves the use of technology through the use of the Texas Instruments TI-84 PLUS graphing calculator. The school district will provide this calculator for your students’ use throughout the school year. A calculator will be signed out to your child after the permission slip at the bottom of this page is signed and returned. It is necessary that your child treat this piece of equipment responsibly.
This is school property therefore any damage or loss of the calculator will require REPLACEMENT on the part of the student and/or parent.
If the TI-84 PLUS Graphing Calculator is lost or damaged beyond use, you or your child will have to REPLACE that one with another TI- 84 PLUS calculator in comparable condition.
Please sign and return the bottom portion of the page stating your understanding regarding the use of the TI-84 PLUS graphing calculator and return to Ms. Rounds as soon as possible. If you have any questions or concerns, please contact me at the high school at your earliest convenience at or 942-9200.
Sincerely,
Carin Rounds
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
We agree and understand that if the calculator signed out in the name of
______is lost or damaged throughout the school year, we
are responsible for the replacement of the calculator with another TI-84 PLUS
Graphing Calculator in useable condition.
Student Signature: ______
Parent/Guardian: ______
Calculator # ______(will be assigned upon return of this form)
If your child has their OWN calculator, please write OWN in the blank above and return.
Pre-Calculus 2016-2017
Syllabus
Unit #1~10 daysPrerequisites:Assignments
#1 pg 10 (53, 54, 74)
#2pg 34 (1, 2, 17, 19, 21)
#3pg 34-36 (23, 24, 35, 37, 39, 44, 45, 51, 56, 65)
#4pg 53 (75-78, 82, 109-112) QUIZ #1
#5pg 64-66 (9-17odd, 31-39odd)
#6pg 66 (51-58)
#7pg 66 (63-66)
Unit #1 Exam: Sept 20, 2016
Unit #2~13 daysFunctions: Assignments
#1pg 93-94 (23, 24, 25, 30, 33, 45, 46, 48, 49)
#2pg 94 (51-60) SKETCH GRAPHS
#3Evaluate using the Difference Quotient: (1) f(x) = x2 + 4; (2) f(x) = x2 + 4x
(3) f(x) = x2 + 4x + 7
#4pg 94-95 (71-76)
#5pg 105 (1-8)
#6pg 106 (19-33odd)
#7pg 116 (1-9odd describe NOT sketch, 13-21odd, 25-30 ALL)
#8pg 126-128 (6-12 even parts a-d, 14-24 even, 36, 40, 47, 59)
#9pg 139-141 (21-30, 67-70)
#10pg 139-141 (13, 19, 77-80)
Unit #2 Exam: Oct 7, 2016
Unit #3~14 daysPolynomials: Assignments
#1pg 177 (1-8, 9-12, 17-26)
#2pg 178 (33, 37, 41, 45, 51)
#3pg 179 (57, 59, 65-72)
#4pg 191 (15-19 odd)
#5pg 191 (10, 12, 14)
#6pg 191-192 (18, 51-54) pg 210 (17)
#7pg 210 (25)
Unit #3 Exam #1: Oct 21, 2016
#8pg 218-219 (13-20)
#9pg 227 (13, 14, 15)
#10pg 227 (16, 17, 18)
#11pg 228 (45, 46, 51)
Unit #3 Exam #2: Oct 31, 2016
Unit #4~14 daysExponential and Logarithmic Functions: Assignments
#1pg 247 (1-10, 23-30 explain transformation)
#2pg 249 (51, 53) SHOW ALL SUBSTITUTIONS
#3 pg 249 (55, 57, 61) SHOW ALL SUBSTITUTIONS
#4pg 259-260 (1-29odd, 68)
#5pg 249 (54) pg 259 (45-50, 59)
#6pg 267 (11-37 odd)
#7pg 267-268 (41-59odd, 67-79odd)
#8pg 277-278(15,16,17,18,27,33,55,57,58,72,73)
#9pg 288 (14, 16)
#10 pg 289 (26, 27)
#11pg 289 (34-40 even)
#12pg 290 (43, 45)
Review Day
Unit #4 Exam: Nov 21, 2016
BENCHMARK #1: NOVEMBER 22, 2016, Material covered to Date
Reteach November 28-29, 2016
Unit #5~30 daysTrigonometry:Assignments
#1pg 318-319 (5-33odd parts a and b)
#2pg 319-320 (43-81 odd)
#3pg 328-329 (1,7,8,27,47-50)
#4pg 338-340 (3, 15, 18, 33-45 by3)
#5pg 339 (23-31)
#6pg 338 (17, 19, 20, 22)
#7pg 350-351 (5-80 by 5)
#8pg 361-362 (7-21 odd, 31, 34)
#9pg 402 (71, 72) pg 406 (9, find parts only)
#10pg 402 (72, all parts and graph)
#11pg 384 (7-19 odd)
#12pg 385 (33-51 odd)
Unit #5 Exam #1: Dec 19, 2016
#13pg 414 (19, 21, 25-37 odd)
#14pg 414-415 (45-63 by 3)
#15pg 421 (1-9)
#16pg 422 (38-46 even)
Unit #5 Exam #2: Jan 9, 2017
#17pg 432 (11, 13, 15, 19)
#17bpg 432 (12, 14, 16, 20)
#18pg 432 (21, 23, 25)
#18bpg 432 (26, 27, 28, 30)
#19pg 432 (24,29,31,38,39)
#19bpg 458 (13, 15, 16)
#20pg 432 (36, 43, 48)
Unit #5 Exam #3: Jan 24, 2017
Unit #6~15 daysConics: Assignments
#1pg 760 (33, 35, 48, 49)
#2pg 759-760 (19, 38, 39, 40)
#3pg 759-760 (21,23,37,52,43,45)
Unit #6 Exam #1: Jan 31, 2017
#4pg 769-770 (26,28,30,33,34)
#5pg 769 (9, 11, 13, 15 no eccentricity)
#6pg 770-771 (42, 44, 49)
Unit #6 Exam #2: Feb 6, 2017
#7pg 779 (24, 26, 30, 32)
#8pg 779 (7, 9, 11, 13, 34)
#9pg 779 (6, 14, 16)
#10pg 780 (43-50, AND find standard equation of 44, 46, 48)
Unit #6 Exam #3: Feb 13, 2017
BENCHMARK #2: Feb 14, 2017 Materials covered to date
Reteach: Feb 15, 2017
Unit #7~17 days Systems of Equations: Assignments:
#1pg 527 (11-14)
#2pg 527 (23-28)
#3pg 539 (17, 18)
Unit #7 Exam #1: March 3, 2017
#4pg 550-551 (1-6, 9-12)
#5pg 551 (13, 15, 16, 30)
#6pg 551 (17, 20, 21, 29)
Unit #7 Exam #2: March 14, 2017
#7pg 552 (39, 40, 42, 44, 45, 46)
#8pg 584 (27-30 solved w/calc)
Unit #7 Exam #3: March 17, 2017
Individual Project: March 20-24, 2017 PROJECTS DUE MARCH 24, 2017
Unit #8~15 daysLimits(all assignments are attached)
Unit #8 Exam #1: April 7, 2017
Unit #8 Exam #2: April 27, 2017
Review Project April 28, 2017
BENCHMARK #3: Week of May 15, 2017 Materials covered to date
** This is your final exam for this course **
Unit #9~16 daysDerivatives (all assignments are attached)
Unit #9 Exam: June 9, 2017
Final Exam for MVCC course credit will be
Friday June 16, 2017 at 12:00 noon,
with those students in the Algebra 2 Regents Exam
for those enrolled in the dual credit course.
ALL EXAM DATES ARE TENTATIVE AND SUBJECT TO CHANGE!
Limits Homework #1
Find the limit. Show all work.
1) 2) 3) 4)
5) 6) 7)
8) 9) 10)
11) 12) 13)
14) 15) 16)
17) 18)
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Limits Homework #2
Find the limit (if it exists), graphically, using a table of values. (Show your table)
1) 2) 3)
4) 5) 6)
7) 8) 9)
10)
Limits Homework #3
Find the limit of the trigonometric function. Show your work.
1) 2) 3)
4) 5) 6)
7) 8) 9)
10)
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Limits Homework #4
Use a graphing utility to graph the function and visually estimate the limits.
1) h(x) = x2 – 5x(a) lim x5 (b) lim x -1
2) g(x) = (a) lim x 4(b) lim x 0
3) f(x) = x cos x(a) lim x0(b) lim x
4) f(x) = x|x – 4| (a) lim x4(b) lim x-1
Use the information to evaluate the limits.
5) 6)
a) a)
b) b)
c) c)
d) d)
Limit Homework #5
Use the information to evaluate the limits.
1) 2)
a) a)
b) b)
c) c)
d) d)
For each problem, sketch the graph of the function and then determine the limit as the function approaches the given value.
3) 4)
5) 6)
7) 8)
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Limit Homework #6
Find the limit, if it exists.
1) 2) 3)
4) 5) 6)
7) 8)
Limit Homework #7
Find the limit, if it exists.
1) 2) 3)
4) 5) 6)
7)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Limit Homework #8
Find the limit, if it exists.
1) 2) 3)
4) 5) 6)
7)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Limits Homework #9
Find the limit, if it exists.
1) 2) 3)
4) 5) 6)
7)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Limits Homework #10
Find the limit, if it exists. Make a sketch of each piecewise function.
1) 2)
a) lim x2+ a) lim x2+
b) lim x2-b) lim x2-
c) lim x2c) lim x2
d) f(2)d) f(2)
3) 4)
a) lim x1+ a) lim x2+
b) lim x1-b) lim x2-
c) lim x1c) lim x2
d) f(1)d) f(2)
Limits Homework #11
Make a graph of the piecewise function then find the limits, if they exist.
1) 2)
a) lim x1+ a) lim x2+
b) lim x1-b) lim x2-
c) lim x1c) lim x2
d) f(1)d) f(2)
3) 4)
a) lim x1+ a) lim x3+
b) lim x1-b) lim x3-
c) lim x1c) lim x3
d) f(1)d) f(3)
5) 6)
a) lim x1+ a) lim x1+
b) lim x1-b) lim x1-
c) lim x1c) lim x1
d) f(1)d) f(1)
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Limits Homework #12
pg 901 (7-20 all)
Derivatives Homework #1
Rewrite each function, differentiate, and express in simplest form.
1) 2) 3) 4)
5) 6) 7) 8)
9)
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Derivatives Homework #2
Rewrite each function, differentiate, and express in simplest form.
1) 2) 3) 4)
5) 6) 7)
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Derivatives Homework #3
Find the derivative of each function:
1) 2) 3)
4) 5) f(x) = x2 – 3x – 3x-2 6)
7) 8) y = 3x(6x – 5x2)9)
10) 11)
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Derivatives Homework #4
Use the Product Rule to differentiate the function.
1) g(x) = (x2 + 1) ( x2 – 2x) 2) f(x) = (6x + 5) ( x3 – 2)
3) 4)
5) f(x) = x3 cos x 6)
Derivatives Homework #5
Use the Product Rule to differentiate the function. Simplify.
1) f(x) = (x3 – 3x) ( 2x2 + 3x + 5) 2) f(x) = x cos x
3) h(x) = (x2 – 1)2 4) f(t) = t2 sin t
5) f(x) = (x + 1) cos x6) y = x sin x + cos x
7) f(x) = sin x cos x8) y = 2x sin x + x2 cos x
9) f(x) = sin x (sin x + cos x)
Use the Product Rule to differentiate the function. You do not need to simplify.
10) f(x) = (3x3 + 4x)(x – 5)(x + 1)11) f(x) = (x2 – x)(x2 + 1)(x2 + x + 1)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Derivatives Homework #6
Use the quotient rule to differentiate. Simplify.
1) 2) 3)
4) 5) 6)
7) 8) f(x) = - x + tan x9) y = x + cot x
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DerivativesHomework #7
Differentiate. Simplify
1) 2) 3)
4) 5) 6)
7) 8) y = - csc x – sin x9) f(x) = x2 tan x
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DerivativesHomework #8
Differentiate. Simplify
1) 2) 3)
4) 5) 6)
7) 8)
Differentiate. Do not simplify
9) 10)
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DerivativesHomework #9
Find the derivative of the function.
1) 2) y = cos 3x3) y = sin πx
4) g(x) = 3 tan 4x5) h(x) = sec x26) y = 4 sec2x
7) y = 2 tan3 x8) y = sin (cos x)9)
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