MRS. STARBUCK
ROOM 323
WELCOME TO
PRE-CALCULUS!
Find your
Group.
GROUP EXPECTATIONS
Using
your group’s identity, list
the qualities of that ID that will
help you function as a group.
What qualities does your
identity have that will help you
be an effective MATH group?
WELCOME TO PRE-CALCULUS!
MS. STARBUCK
o The
week ahead:
 Group Work Expectations
 Syllabus
 HW #1 Due FRIDAY
Wednesday / Thursday:
 Book Check-Out – Library 300
COURSE EXPECTATIONS - SYLLABUS
Pre-Req’s
 Materials List
 Attendance
 Make-Up Work
 HW – CW – PRJ – TQA – N,B,TXT
 Assignment Expectations

Heading
 Objectives

Class Rules
 Sign the Syllabus – PRINT Your Name

HOW TO SET UP YOUR ASSIGNMENT
HEADING


All assignments should be completed on college-ruled
notebook paper or graph paper, using pencil or BLUE or
BLACK ink only. POW’s and Projects should be typed,
single spaced, using a 12-font size.
When completing any homework, classwork or project
assignment, the following heading information should be on
your paper:
Your First and Last Name
 Date (August 27, 2012; mo/day/yr)
 Class/Period
Assignment Title (Page #, Problem #’s)


THE DAILY COURSE OBJECTIVE
The daily learning objective and assignments should
be written in the CLASSWORK section of your 3-ring
binder at the beginning of class every day.
 You will see the daily objective for your class on the
daily Power Point.

AUGUST 28, 1963 –
CIVIL RIGHTS MARCH ON WASHINGTON
Do
YOU have a DREAM?
PRE-CALCULUS – LEARNING OBJECTIVES
Copy BOTH objectives on TWO separate sheets
of notebook paper in the CW Section of your
binder.
 Students will write and discuss their past
experiences and their goals for their math
class.

Students will solve equations using
algebraic techniques and check their work.
TELL ME ABOUT YOU AND MATH!
ANSWER EACH QUESTION IN 3-5 COMPLETE SENTENCES,
TYPED 12 FONT OR WRITTEN IN BLUE OR BLACK INK.
DUE – FRIDAY AUGUST 30
Why are you here at South High School? What are you
goals NOW and in the FUTURE?
 Why did you choose Pre-Calculus? What has prepared
you for this class?
 What do you do BEST in math? What do you really like
doing in math class?
 What do you want to IMPROVE in math? What is most
difficult for you in math class?
 Honestly describe your study habits? How do you study
IN class? OUT of class? Where do you look for and find
help when you need it?
 What grades do you plan to earn in math class this year
and how do you plan to do that?

HW AND BINDER DUE DATES
 HW:
‘Me and Math’ Due Friday Aug. 30,
beginning of class
 Binder Check – Tuesday September 3
 Sections for; HW, CW, Projects, TQA,
Notes
SOLVE EACH EQUATION FOR ‘X’, SHOWING
ALL WORK AND CHECKING YOUR ANSWERS…
1.
x + 4 = – 13
2.
– 8x = 104
3.
7x – 15 = 118
4.
– 3(x + 7) + 15 = 42
Solve for ‘x’ AND ‘y’:
5. 5x – 8y = 36
9x – 9y = 54
6.
Describe and explain the steps you used to
solve the equations…WHY did you do those
steps?
7. How can you use what you know to solve ax + b = y, for ‘x’?
15 MIN…
SOLVE EACH EQUATION FOR ‘X’, SHOWING ALL
WORK AND CHECKING YOUR ANSWERS…(OOOH,
QUADRATICS…HOW MANY SOLUTIONS???)
1.
x2 = 289
2.
x2 + 38 = 263
3.
4.
5.
– 8x2 = – 648
3 x2 – 19 = 35
2
2
9 2
x + 17x = 96.8 (hmmmm….remember me? b  b  4ac )
5
2a
6.
Describe and explain the steps you used to
solve the equations…WHY did you do those
steps?
7. How can you use what you know to solve,
for ‘x’?
a 2
x b  d
c
PRE-CALCULUS
HW DUE: ‘Math and Me Essay’
 Course Binder Check TUESDAY

Dividers for: HW, CW, Notes, Projects, Tests
 Syllabus on front page
 Objective in CW section w/ work

SOLVE EACH EQUATION FOR ‘X’, SHOWING ALL
WORK AND CHECKING YOUR ANSWERS…
1.
x3 = – 5832
2.
x4 + 19 = 28,580
3.
– 6x5 = -46,656
4.
7x6 – 19 = 28,653
5. Describe and explain the steps you used to
solve the equations…WHY did you do those
steps?
a
6. How can you use what you know to solve, x n
for ‘x’?
c
b  d
SOLVE EACH EQUATION FOR ‘X’, SHOWING ALL
STEPS:
2
3
1.
60  9 x  15
2.
18 x  32  104
3.
16 5 x  54  22
Describe and explain the steps you used to
solve the equations…WHY did you do those
steps?
5. How can you use what you know to solve,
for ‘x’?
4.
SOLVE EACH EQUATION FOR, SHOWING
ALL STEPS:

1.
15 (3)X = 295,245

2.
820 (.80)X = 215

3.
A population of 1200 honeybees is decreasing by 7.5%
each year. How many years until the population is
HALF?

4.
log 3 27 = x
How can you use what you know to solve, a(b)x = y
for ‘x’?
TUESDAY SEPTEMBER 3 - ALL CLASSES
 Binder
•


Check TODAY
Your course binder should have dividers for :
 CLASSWORK, HOMEWORK, PROJECTS,
NOTES, TESTS-QUIZ-ASSESSMENT
Page 1 – Course Syllabus
All Classwork and Objectives to date in CW
Section
SOLVE EACH EQUATION FOR THE
INDICATED VARIABLE…
4 3
1.
2.
bh
V  r
A
3
2
Solve for ‘h’
3.
r = x2 + y2
Solve for ‘y’
5.
M
Solve for ‘r’
4. y = (5x - 8)3 + 19;
7z
Solve for ‘x’
M0
v2
1 2
c
Solve for ‘c’
HWSheet #1 –
Solving DUE
Wednesday
PRE-CALCULUS WEDNESDAY SEPTEMBER 4

You need:
HW DUE: HWSheet #1
 Textbook

NOTES: Solving Equations; Families of Functions
 Copy Class Objective in CW Section of
3-ring binder


Objective:
Students will analyze and
categorize function TABLES,
GRAPHS and EQUATIONS.
WHAT ARE CORNELL NOTES AND WHY
SHOULD WE USE THEM?
WHAT DO CORNELL NOTES LOOK LIKE?
NOTES – SOLVING EQUATIONS
Yellow Page paper ONLY
 Kept in NOTE section of your
binder

PRE-CALCULUS – LEARNING OBJECTIVE
Students
will analyze and
categorize function TABLES,
GRAPHS and EQUATIONS
CW:
Complete Pg. 81/ #1-10
with your group
HW: Pg. 82/ #11-18, 20-24
Due MONDAY 9/9
PRE-CALCULUS LEARNING OBJECTIVE
Students
will analyze and
categorize function TABLES,
GRAPHS and EQUATIONS.
PRE-CALCULUS – EXIT
Solve for ‘x’:

1.
4
( x  6) 4  13  25.8
5

2.
33
x  5  7  11.5
4

3.
16(.88)x = 5.754
Q. #4, 5 – Solve for X and Y:

4.
3x + 2y = 19
5x – 7y = 42
5.
y = 3x – 4
2x + 5y = 31
PRE-CALCULUS – PER. 1, 2
HW DUE: Pg. 82/ #11-18, 20-24
Complete the EXPLORATION #1, Pg. 93 with
your group
PRE-CALCULUS PER. 1, 2
HW Questions: Pg. 83/ #29-38, 47-49, 54, 57-60
 NOTES – Functions, Domain, Range


Review the class objective in the CW Section of
your binder:
Students will define the DOMAIN and
the RANGE for functions.
PRE-CALCULUS




HW DUE: Pg. 83/ #29-38, 47-49, 54, 57-60
TEST Corrections
Complete f(x) worksheet with your group
Copy CLASS OBJECTIVE in CW Section of your
Binder:
Students will analyze function behavior
and identify points of discontinuity.
HW: Pg. 102/ #9-34 Due TUESDAY Be sure to complete
graphs on GRAPH PAPER
PRE-CALCULUS


HW Questions: Pg. 102/ #9-34 Due TUESDAY Be sure to
complete graphs on GRAPH PAPER
Copy CLASS OBJECTIVE in CW Section of your
Binder:
Students will ANALYZE functions for various characteristics
including: Domain, Range, Boundedness, Extremes, Symmetry
and identify points of discontinuity.
P1. - Complete Graph Analysis WSheet
Read Pg. 90-96/ Write a GROUP DEFINITION for the
following:
Continuous, Removeable Discontinuity (2), Jump
Discontinuity, Infinite Discontinuity, Increasing f(x),
Decreasing f(x), Bounded and Extrema
Complete Pg. 102/ #35-46 with your group
PRE-CALCULUS
HW DUE: Pg. 102/ #9-34
 Copy Class Objective in CW Section of your 3-ring
binder:

Students will DEFINE ODD and
EVEN Functions, ASYMPTOTES
and CALCULATE asymptotes for
rational functions.
Complete Pg. 102/ #35-46, #63-66 with your group
 HW: Pg. 81/ Quick Review; 103/ #55-62 Due FRIDAY
 Quiz FRIDAY – Functions, Domain, Range,
Definitions

PRE-CALCULUS
HW DUE MONDAY: Pg. 81/ Quick Review;
103/ #55-62
 Quiz TODAY
 Asymptotes

1.
9x  3
f ( x) 
2x  5
3.
12 x 2
f ( x)  2
3x  5
2
2.
4.
5x
f ( x)  2
8x
x7
f ( x)  2
x  3x  28
PRE-CALCULUS
Project Due at FINAL EXAM
 Find the VERTICAL and HORIZONTAL
ASYMPTOTES or HOLES for each:

3x  1
f ( x) 
x3
1.
5
f ( x) 
2x  3
2.
3.
x9
f ( x) 
x 5
4. f ( x ) 
5.
x2
f ( x)  2
x -x-6
6.
5x  4
10x 2  7x  12
2x  5
f ( x)  2
x +4x  12
PRE-CALCULUS
Find the VERTICAL and HORIZONTAL Holes and
Asymptotes for the functions and SKETCH the
function:
5x  2
1. f ( x ) 
3x  4
3.
8x  4
f ( x) 
2x
2.
x7
f ( x)  2
x  2 x  63
4.
3x 2  4 x
f ( x)  2
9x  6x
PRE-CALCULUS
Partner Task - Sketching Radical Functions - Copy ALL work in
CW Section of your binder
 Turn in by 8:15 (P.1)/9:15 (P. 2)
Copy the CLASS OBJECTIVE in the CW Section of your binder:
Students will explore TRANSLATIONS
and TRANSFORMATIONS of functions
HW: Pg. 113/ #1-24 Due Wed./Thurs.
Quiz – Chap. 1 Wed./Thurs.
Asymptotes, Odd/ Even f(x), Domain, Range, Maxima,
Minima, Interval Notation
PRE-CALCULUS
HW: Pg. 113/ #1-28 Due Monday
 Quiz Today:
 PROJECT #1: Functions Due Friday Oct. 11

PRE-CALCULUS
HW DUE: Pg. 113/ #1-28; Functions Project
Problem Statement
 Share your problem statement with your group
 Project Due FRIDAY
 Copy the Functions in the CW Section of your
binder:
1
1
1
f ( x) 
 a
f ( x) 
f ( x) 
 a
x
( x  b)
( x  b)
Use the ‘a’ and ‘b’ values at your table to find the
DOMAIN, RANGE, VERTICAL and HORIZONTAL
Asymptotes for each function
HW: Pg. 114/ #35-42 Due Wed./Thurs.

PRE-CALCULUS
Complete Pg. 114/ #29-34, 67
 HW: Pg. 114/ #35-42 Due Wed./Thurs.
 Functions Project Due Friday

PRE-CALCULUS



HW DUE: Pg. 114/ #35-42
Project ‘Functions’ Due Friday
Each group = Different f(x)

With your group, write the function and describe the change as a
TRANSLATION or TRANSFORMATION. Then detail the changes for
the graphs of each:
1.
f(x) + 3
2.
f(x + 3)
3.
3· f(x)
4.
f ( x)
3
5.
- f(x)
6.
7.
-2f(x + 5) – 4
8.
Define the changes in DOMAIN and RANGE for
each translation or transformation.
f(-x)…..Is your function
ODD or EVEN?
PRE-CALCULUS
o
You need:
• Functions Project
Copy the CLASS OBJECTIVE in the CW section of
your binder:
Students will write functions for TRANSLATED
and TRANSFORMED graphs.
•
Complete 4-f(x) classwork with your
partners
PRE-CALCULUS – PER. 2, 7
Make Up Work, Test Corrections Due FRIDAY
10/18, 3 pm…..NO EXCEPTIONS!
Copy the CLASS OBJECTIVE in the CW Section of
your binder:

Students will define, write and
evaluate composed functions
Composition of Functions-Pg. 117
 Exploration #1, Pg. 120
 Partner Compositions
 HW: Pg. 124/ #1-8, 11-22 Due FRIDAY

PARTNER TASK
Partner Compositions – find each of the
following with your table:
 f(x)+g(x)
 g(x)/f(x)
 f(g(x)) and g(f(x))
 g(f(-2))
 f(g(7))
 Be sure to show ALL work
 HW: Pg. 124/ #1-8, 11-22 Due FRIDAY

PRE-CALCULUS
HW DUE: Pg. 124/ #1-8, 11-22
 Given f(x) = 9x+2 and g(x) = 3x2, find the following:

1.
f(x) + g(x)
2.
g(x)/f(x)
3.
g(f(x))
4.
f(g(-6))
PRE-CALCULUS
HW DUE: Pg. 124/ #1-8, 11-22
 Copy the class objective in the CW section of your
binder:

Students will define and calculate
the INVERSES for functions
Quick Review – Pg. 135
Notes: Defining and Calculating
Inverses
Pg. 130/ Ex. #3, Ex. #7
HW: Pg. 135/ #9-22 DUE Wed./Thurs.
FIND THE INVERSE
OF EACH FUNCTION:
1.
3x  7
f ( x) 
4
2.
4x  7
g ( x) 
3
3.
2
Find f(g(x)) and g(f(x))
HW: Pg. 135/ #9-22; 23-26 DUE Wed./ Thurs.
PRE-CALCULUS
Pg. 130/ Ex. #3, Ex. #7
 HW: Pg. 135/ #9-22, 23-32
 Inverses and 1:1

PRE-CALCULUS – FINISH GROUP POSTER
HW: Pg. 135/ #9-22, 23-32 Due TODAY
 Use your group’s function to complete the following:
 All group members should have ALL work in the
CLASSWORK SECTION of each individual binder.
 Turn in ONE POSTER per group.









Give the DOMAIN and the RANGE for your function
Make a TABLE and GRAPH your function on graph paper.
Find f-1(x), showing all work
State the DOMAIN and RANGE for f-1(x)
Make a TABLE and GRAPH for f-1(x) on graph paper
Find f(f-1(x)) and f-1(f(x))
Are your functions 1-to-1? Explain how you using the
tables, graphs and algebra.
HW: Pg. 147/ #1-28 – Due Tuesday
PRE-CALCULUS



Finish Posters
HW: Pg. 135/ #9-22, 23-32 Due TODAY
TEST – WED./THURS.




Inverses
1:1
Composition of Functions f(g(x))
Elementary Parametric Functions
 Copy
the Class Objective in the CW Section of your 3ring binder:
Students will define and write PARAMETRIC
EQUATIONS for situations
CW: Pg. 135/ #1-8
HW: Pg. 147/ #1-28 – Due Wed./Thurs.
TEST – WED./THURS.
PRE-CALCULUS
HW: Pg. 147/ #1-28 – Due
Wed./Thurs.
 Test Wed., Thurs.
Copy the Class Objective in the CW
Section of your 3-ring binder:
Students will define and write
PARAMETRIC EQUATIONS for
situations
 Complete Pg. 135/ #1-8 – Be sure to
graph on GRAPH paper.

PRE-CALCULUS
TEST TODAY
 HW DUE: Pg. 147/ #1-28
 FINISH CW DUE: 135/ #1-8 – Be sure to
graph on GRAPH paper.

PRE-CALCULUS
NEW SEATS!
 Complete the QUICK REVIEW, Pg. 182
with your group
 Polynomial and Quadratic Functions

Forms
 Solving
 Re-writing

o
Completing the SQUARE
o
HW: Pg. 182/ #1-22, 73-77 DUE
MONDAY
PRE-CALCULUS

Copy the CLASS OBJECTIVE in the CW Section of
your binder:
Students will use COMPLETING THE SQUARE to rewrite
Quadratic functions, graph the functions and define
translations and transformations
Complete the square to write the function in VERTEX form:
f ( x)  .5x  6 x  14
2
Describe the TRANSLATION and TRANSFORMATION
on the function
 SKETCH the function

HW: Pg. 182/ #23-44
FIND THE EQUATION FOR THE GRAPH IN
VERTEX FORM AND STANDARD FORM, AND
SOLVE FOR THE ROOTS:
PRE-CALCULUS

1.
2.
3.
4.
Group Task- Each person complete in CW section of
your binder. Each GROUP turn in ONE paper to
teacher:
Write your function in VERTEX form by
COMPLETING THE SQUARE, showing ALL work.
Find the ROOTS of your function, showing ALL work.
Find the VERTEX of your function from your VERTEX
equation
Sketch the graph of the function, describing the
TRANSLATIONS and TRANSFORMATIONS of the
function
HW: READ Pg. 188-196/ HW Pg. 196/ #1-30
PRE-CALCULUS
Quiz TODAY – Quadratics and Completing the
Square
 HW: READ Pg. 188-196/ HW Pg. 196/ #1-30
 No Classes – Monday or Tuesday

PRE-CALCULUS
HW: Pg. 196/ #1-30
 Copy the CLASS OBJECTIVE in the CW
Section of your 3-ring binder:
Students will explore POLYNOMIAL FUNCTIONS,
their GRAPHS and their END BEHAVIORS

Complete Pg. 196/ Quick Review
and Pg. 208/ Quick Review with your group
 Pg. 203/ Exploration #1 – End Behavior
 Pg. 209/ #17-24
 Polynomial Degree – Behaviors
 HW: Pg. 209/ #1-16, 25-42

PRE-CALCULUS
 All
make-up work, test make-ups and
test corrections due this WEDNESDAY
Nov. 20, 3:00
HW: Pg. 209/ #1-16, 25-42 – Due TUESDAY
 SKETCH the graphs of the functions Pg. 210/ #3942, 53-56, using examples from pg. 204-207. Label
the x and y-Intercepts on each graph
 #57-60 with calculators

PRE-CALCULUS
HW DUE: Pg. 209/ #1-16, 25-42
 Copy the CLASS OBJECTIVE in the CW Section of
your binder:
Students will WRITE, EVALUATE and SOLVE EXPONENTIAL
and LOGISTICAL functions

Exponential Growth and Decay
 ‘e’ - Euler’s Number
 Logistical Functions
 Logarithms
 NOTES
 HW: Pg. 286/ #1-24

EXPONENTIAL GROWTH/DECAY

1.
2.
3.
4.
Write an EXPONENTIAL function for each
situation:
Stella invested $2000 in a Certificate of Deposit
(CD) that pays 3.85%, compounded monthly.
A population of 1220 hummingbirds is
decreasing by 12.5% every year.
A coin collection valued at $800 APPRECIATES
in value by 3.5% each year
A NEW car, valued at $22,500 DEPRECIATES in
value by 8.5% each year.
USE THE EQUATIONS TO FIND:






Stella’s CD value in 5 years
Time it takes Stella’s investment to be $3000
Number of hummingbirds in 7 years
Time it takes for population to be below 500
Value of the coin collection in 10 years
Time it takes collection to be worth $1500

Value of the car in 12 years
Time it takes car to be worth $5000

HW: Pg. 286/ #1-14

PRE-CALCULUS
Copy the CLASS OBJECTIVE in the CW
Section of your binder:
Students will use the POINT/RATIO Equation to write
Exponential equations and SOLVE Exponential
equations using LOGARITHMS

o
o
HW DUE: Pg. 286/ #1-24
PROJECT – Inflation/Depreciation
Due FRIDAY - December 6
PRE-CALCULUS
A population of 13,200 rainbow trout were
estimated in a 10 mile section of the Poudre River
in 2002. In 2013, biologists counted 8500 rainbow
trout in that same river section.
1. Find the GROWTH or DECAY FACTOR using the
Point/ Ratio Equation
2. Write an equation for the trout population.
3. How many fish will we expect in 2015
4. When will the population fall below 1000 fish?
Show all work on all problems!
PRE-CALCULUS
HW DUE: Pg. 286/ #1-24
 Project – ‘Inflation/Deflation’ Due FRIDAY
 Progress Check / Problem Statement due
TUESDAY
 CW – Pg. 287/ #45-49
 Logistical Functions – Pg. 283
 Pg. 288/ #55
 Quiz Friday
 HW: Pg. 287/ #39, 40, 51-66

PRE-CALCULUS

Project – ‘Inflation/Deflation’ Due FRIDAY

Problem Statement / Process Start due TODAY
Quiz Friday
 HW: Pg. 287/ #39, 40, 51-66 DUE Wed., Thurs.
 Pg. 288/ #55-58
 Complete Pg. 296/ #1-22 with your group

PRE-CALCULUS
Project – ‘Inflation/Deflation’ Due FRIDAY
 Quiz Friday
 HW DUE: Pg. 287/ #39, 40, 51-66
 HW: Pg. 297/ #29-34, 39-42, 45, 46 Due TUESDAY
 Group Exponential Task
 Each group member has ALL work in the CW
section of your binder
 One Poster per group

EACH GROUP POSTER SHOULD HAVE THE FOLLOWING:
Title and copy of table data
 Calculation of G/D factor, showing ALL work using the
POINT/RATIO formula
 Calculation of STARTING VALUE (t=0)
 Calculation of G/D RATE, as decimal and percent
 Exponential Function for table, defining variables
 Graph of table, with exponential function graphed over
the data
 Answers to STARBUCK questions, showing ALL work
using GRAPH (labeled) and EQUATION
 Summary sentences for all solutions

PRE-CALCULUS
Project – ‘Inflation/Deflation’ Due TODAY
 Quiz – TODAY
 HW: Pg. 287/ #39, 40, 51-66; Pg. 297/ #29-34, 3942, 45, 46 Due TUESDAY
 Binder Check/Note Check MONDAY
 Make Up Work Test Corrections Due FRIDAY
December 13
 Finals week of Dec. 16 – 7:45 am





Monday December 16 – Per. 1, 2, 3 Finals
Tuesday December 17 – Per. 4, 5
Wednesday December 18 – Per. 6, 7
Thursday December 19 – Make-Up Finals
PRE-CALCULUS
HW DUE: Pg. 287/ #39, 40, 51-66; Pg. 297/ #29-34, 3942, 45, 46
 Progress Reports – Make-Up Work, Test
Corrections, Re-Writes due FRIDAY 12/13 – NO
EXCEPTIONS
 Concept Map Project Due At FINAL – NO LATE
PROJECTS ACCEPTED
 Logarithms
 NOTES
 HW: Pg. 308/ #1-24, 33-40; Pg. 317/ #1-38
 Binder Check Wednesday/Thursday

PRE-CALCULUS
Pg. 308/ #25-32; 59-64; Pg. 331/ #1-10
 Pg. 323 - EARTHQUAKES
 HW: Pg. 308/ #1-24, 33-40; Pg. 317/ #1-38
 Binder Check TODAY
 Concept Map Due at FINAL EXAM
 Make-Up Work, Test Corrections, Re-Writes due
FRIDAY 12/13

PRE-CALCULUS
1.
Find the VERTICAL and HORIZONTAL Asymptotes for
the function:
12 x  5
f ( x) 
3x  18
2.
Given
a.
3.
f(g(x))
f ( x )  3x 2
g ( x)  5x  4
; find the following:
b. f-1(x)
c.
g(f(-5))
Re-Write the function in VERTEX form using Completing the
Square:
2
f ( x )  2 x  2 x  40
WRITE A FUNCTION FOR THE GRAPH IN
FACTORED FORM, BE SURE TO SOLVE FOR ‘A’:
LOG APPLICATIONS
Pg. 309/ #59, 60
 Pg. Pg. 323, 324/ Earthquakes

Time to STUDY…..
Concept Map Due MONDAY at Final Exam
PRE-CALCULUS
HW DUE: Pg. 102/ #9-34
 Copy Class objective in CW Section of your
binder:

Students will CLASSIFY functions as ODD or EVEN using
Graphs and Algebra
Complete the Quick Review 1.2 – Pg. 101 with your
group.
HW: Pg. 103/ #47-54
HW DUE: Pg. 102/ #9-34
 Copy Class objective in CW Section of your
binder:

Students will define ODD and EVEN Functions
using Graphs and Algebra
PRE-CALCULUS



HW Questions: Pg. 83/ #29-38, 47-49, 54, 57-60
NOTES – Functions, Domain, Range, Notation
Classwork: Pg. 102/ #1-8
Copy the following equations on your CW paper:
1.
3.
f(x) = x2 – 4
f(x) = |x – 6| + 2
2.
f ( x)  ( x  3)
4.
3
f(x) =
x
Pre-Calculus – Per. 2, 7
Copy the Class Objective in the CW Section of your 3-ring
binder
Factor the quadratic functions
into two BINOMIALS and SOLVE
for the ROOTS:
x2
1.
f(x) =
+ 17x – 138
2.
f(x) = 9x2 – 289
Solve each quadratic
equation, showing all steps:
1. 126.75 = .75x 2
2. –593 = –3x2 – 5
Factor then solve each factor for
‘y’:
3.
f(x) =
49x2
–
256y2
3. 2x2 + 4x = 5x2 +3x – 7
FUNCTIONS

You need:

o
Yellow Page notes, textbook, binder
Copy the functions on your paper:
f(x) = 5x – 8
f(x) = 3x2 + 2
f(x) =
2x  8
2
3
x
 15 x
f(x) =
x 5
Homework: Pg. 101/ Quick Review; Pg. 102/ #1-8,
25-34 – due TODAY
PRE-CALCULUS – PER. 2, 7
 Find
your NEW assigned seat
 Homework: Pg. 101/ Quick Review;
Pg. 102/ #1-8, 25-34 – due TODAY
 Functions Project –

Due MONDAY OCTOBER 1
 Asymptotes
and LIMITS
 Odd vs. Even f(x)
PER-CALCULUS – PER. 2, 7

HW DUE TODAY: Pg. 83/ #29-38, 47-49, 54,
57-60
 You
need:
 Graphing Calculator, Textbook
 Complete Pg. 83/ #39-46
DESCRIBE THE FUNCTIONS AS
ODD, EVEN OR NEITHER
 f(x)
= 3x4 – 2x
 f(x)
=
 f(x)
= 2x3 – 3x
x 9
2
STARTER CARDS
State the DOMAIN and the RANGE of your function
 Identify the LOCAL MAX and MIN for the function
 Identify the function as ODD or EVEN

PRE-CALCULUS – PER. 2, 7
 ODD
 Copy
vs. EVEN f(x)
the CLASS OBJECTIVE in the CW
section of your binder
 HW: Pg. 103/ #47-66
 Project: Functions – Due MONDAY OCT. 1
 TEST CORRECTIONS Due Monday,
Oct. 1 - 3 p.m.
 EXIT: Domain, Range, Increase,
Decrease, MAX, MIN, Intercepts
COPY THE FUNCTIONS IN THE CW SECTION OF
YOUR BINDER WITH YOUR CLASS OBJECTIVE:
ARE THE FUNCTIONS ODD, EVEN OR
NEITHER?
1.
3.
f ( x)  5 x
2
5
2.
f ( x)  9 x  12 x  16
4
2x
f ( x) 
( x  6)
2
f ( x)  .25 x  6
3
4.
f ( x)  .25 x  6 x
3
PRE-CALCULUS X – PER. 2, 7

Homework: Pg. 103/ #71-81;
Pg. 113/ #1-12
Quiz: Wednesday/ Thursday
PRE-CALCULUS PER. 2, 7

HW DUE TODAY: Pg. 114/ #45-55, 67; Pg. 124/
#1-8
 Composition
of FUNCTIONS
f ° g (x)
 HW: Pg. 125/ #31-34

 EXIT
Quiz - Asymptotes
PRE-CALCULUS – PER. 2, 7
Complete Exploration #1 Pg. 120 with your group
 In Class: #37-44
 HW: Pg. 124/ #11-36

PRE-CALCULUS – PER. 2, 7
Find the VERTICAL and HORIZONTAL
ASYMPTOTES for the FUNCTION and
 Find the INVERSE of the FUNCTION:

3x  9
f ( x) 
7
2
PRE-CALCULUS – PER. 2, 7
Make Up Work/Test Corrections due
TODAY 3 p.m.
o HW: Pg. 135/ #9-22, 27-32
o
Project Re-Writes due FRIDAY
 EXIT Slip Friday – f(g(x)), INVERSE, 1 to 1

PRE-CALCULUS – PER. 2, 7
 HW
Due: Pg. 135/ #9-22, 27-32
FINISH: Group CW
 EXIT
 Rebel Round-Up Schedule

EXIT
f ( x)  3x  5 x
2
Find:
 Find:
 Find:
 Find:

g ( x)  (2 x  7)
f(g(x)) and g(f(x))
g(f(-4))
x when f(g(x)) = 296
x when g(f(x)) = 23
PRE-CALCULUS X – PER. 2, 7

FUNCTIONS PROJECT-Review – Chap. 1.6
 HW:
Pg. 147/ #1-28 – Due
WEDNESDAY
QUIZ: Part II TODAY
o Wednesday:

Composition of Functions
 Inverses

PRE-CALCULUS X – PER. 2, 7
Chapter 1 – Test Part I
 HW: Pg. 147/ #1-28 – Due WEDNESDAY

PRE-CALCULUS

Assuming the triangles shown are RIGHT triangles, find
the missing sides of the triangles using the
PYTHAGOREAN Theorem a 2  b 2  c 2
1.
19
2.
c
23
41
29
b
PRE-CALCULUS
TRIG
PRE-Test
Trig BASICS
 CW: Pg. 356- Quick Review 4.1
o Setting Up and Solving Using
TRIG
o CW: WSheet ‘Klutz’
HW : Pg.356/ #17-38
LABEL THE SIDES OF THE TRIANGLE OPP, ADJ AND
HYP USING  AS THE REFERENCE ANGLE

Assume the triangle is a RIGHT triangle:

FIND THE SIN, COS AND TAN FOR THE
TRIANGLE:

Assume the triangle is a RIGHT triangle:
32
x

28
FIND THE SIN, COS AND TAN FOR THE
TRIANGLE:

Assume the triangle is a RIGHT triangle:
32

x
28
SOLVING USING TRIG
Draw the Sketch
 Label the Sketch
 Determine the TRIG ratio to use
 Solve!
 Meet Mr. Nibs!

SKETCH AND SOLVE
HW DUE: WSheet: ‘Klutz’, ‘Headlines’, Sketch and
Solve
 CW: WSheet: ‘Did You Hear…’



Be ready to present your problems in 15 minutes, showing all
work.
Pg. 366 /Quick Review, #1-10 , Pg. 366/ Exercises
#1-18
WHAT IS A RADIAN?
Radians vs. Degrees
 http://www.mathsisfun.com/geometry/radians.ht
ml
 Converting between measures of DEGREES and
RADIANS

DEGREES TO RADIANS
COPY THE CLASS OBJECTIVE IN THE CW SECTION
OF YOUR 3-RING BINDER
Students will convert measurements form DEGRESS to RADIANS
and RADIANS to DEGREES.
 Complete the following conversions using the
ratio
1.
3.
180 :

60 = ? RAD
 = ? DEG
5
2.
22
= ? RAD
4.
2
9
= ? DEG
HW: Pg. 356/ #17-38 Due Wednesday/Thursday
PRE-CALCULUS
The Unit Circle: Radians and Degrees
 HW DUE: Pg. 356/ #1-32

PRE-CALCULUS


A farmer wants to put up a fence around a
triangular piece of a circular horse pen. The pen
has a radius of 23 feet and the pen fenced sector
will have an angle of 280. Draw a SKETCH of the
fenced pen and find the PERIMETER of the pen.
HW: Pg. 366/ #1-28, 41-58 Due TUESDAY
SOLVE FOR THE MISSING SIDES AND ANGLE
OF THE TRIANGLE SHOWN USING ONLY TRIG:

x
380
46 in
PRE-CALCULUS
HW DUE: Pg. 381/#1-12, 21-42, 49-52
 Complete Pg. 382/ #55-58 with your group

PRE-CALCULUS
HW DUE: Pg. 381/#1-12, 21-42, 49-52
 Complete Pg. 382/ #55-58 with your group
 Co-Terminal Angles
 Reference Angles
 Drawing angles in the Cartesian Plane



Pg. 381/ #13-20
Using one TRIG Ratio to find all 6!

HW: Pg. 381/ #43-48
PRE-CALCULUS
Copy the Class Objective in the CW section of your
binder:
Students will find ALL 6 TRIG RATIOS, and  from
a sketched triangle using given coordinate points.
With your partner, complete the following:
 Plot your points in the Cartesian plane.
 Draw the triangle formed at the origin.
 Find the SIN, COS, TAN, CSC, SEC and COT for the
triangle.
 Find the measure of the angles formed in RADIANS and
DEGREES

PRE-CALCULUS

Draw the triangle from the following TRIG ratios.
Find ALL 6 TRIG Ratios and both acute  angles
for each triangle:
18
SEC 
7
6
COS 
13
22
TAN 
15
17
CSC 
15
PRE-CALCULUS

Copy the CLASS OBJECTIVE in the CW Section of
your binder:
Students will graph the PARENT FUNCTIONS for SIN
and COS, and explore the PHASE SHIFT Equation
Graphs of SIN  , COS 
 Phase Shift Function: f(x) = a sin (bx + c) + d
 Period, Amplitude, Frequency
 NOTES
 HW: Pg. 392/ #1-22, Due Wed., Thurs.

COMPLETE THE TABLE BELOW:

Cos 
0
30
60
90
120 150 180 210 240 270 300 330 360
PRE-CALCULUS

Using the PHASE SHIFT Equation f(x) = a sin(bx+c)+d,
write a function for each situation:
1. Amplitude of 6

2. Period of
4

3. Horizontal Shift of
3
4. Vertical Shift of – 4
5. Amplitude of 3, Period of 900, Horizontal Shift of 450.
Vertical Shift of 5
 HW: Pg. 392/ #1-22, Due Wed., Thurs.
PRE-CALCULUS
Equation – Graph Match-Up
 The Ferris Wheel
 HW DUE: Pg. 392/ #1-22
 HW: Pg. 392/ #23-40 Due MONDAY

PRE-CALCULULS
HW: Pg. 392/ #23-40 Due MONDAY
 Group Poster – Phase Shift Equations and Graphs
 Your group’s poster should have the following:

An EXPLANATION – CALCULATON of: Amplitude,
Period, Frequency, Horizontal Phase Shift, Vertical
Shift
 Graph 2 FULL periods of your function

PRE-CALCULUS
HW DUE: Pg. 392/ #23-40
 HW: Pg. 393/ #41-56
 All make-up work due WEDNESDAY FEBRUARY
19, 4:30 P.M. – NO EXCEPTIONS.
 Quiz FRIDAY
 CW: Phase Shift WSheet

PRE-CALCULUS
CW: Pg. 393/ #69-75
 HW DUE: Pg. 393/ #41-56, Phase Shift WSheet
 Ferris Wheels WSheet
 All make-up work due WEDNESDAY FEBRUARY
19, 4:30 P.M. – NO EXCEPTIONS.
 Quiz Friday

PRE-CALCULUS
New Seats – Find your seat
 TEST Today
 HW DUE: Pg. 393/ #41-56, Phase Shift WSheet

PRE-CALCULUS
HW Due TODAY: Pg. 401/ #1-16; WSheet
Solving Trig Equations
 CW Check M, Tu.: Pg. 393-394/ #71-76, TRIG
Review
 POST TEST – TRIG Basics
 Unit Circle – TRIG Table Notes
 Graphs of TANGENT, COSECANT and SECANT

PRE-CALCULUS
HW DUE: Pg. 431/ #1-15
 TRIG Identities – Pg. 444
 Exploration #1 – Pg. 445
 NOTES
 HW: Pg. 451/ #5-22

PRE-CALCULUS
HW: Pg. 451/ #5-22 Due WED./THURS.
 All Make Up Work, Test Corrections due
MONDAY MARCH 10, 4:30 P.M.
 NOTES
 Copy the CLASS OBJECTIVE in the CW Section
of your Binder:
Students will use TRIGONOMETRY IDENTITIES to rewrite and simplify Trig Equations and Expressions
 Complete Pg. 451/ Quick Review and Q. #1-4
with your group
 CW: Pg. 452/ #23-26
 HW: Pg. 452/ #27-32

PRE-CALCULUS
HW DUE: Pg. 451/ #5-22
 HW: Pg. 452/ #33-50; 69-74
 All Make-Up Work Due MONDAY 4:30 p.m.

PRE-CALCULUS

HW DUE: Pg. 452/ #33-50; 69-74
 Make
Up work, Test Corrections
due TODAY – 4:30 p.m.
QUIZ FRIDAY – Phase Shifts, Identities
 WSHeet ‘Fundamental ID’s’; Graphing


Finish for HW – Due FRIDAY
PRE-CALCULUS
QUIZ TODAY
 HW DUE: Pg. 452/ #33-50; 69-74; WSHeet
‘Fundamental ID’s’; Graphing

PRE-CALCULUS
Proving IDENTITIES
 Copy the CLASS OBJECTIVE in the CW Section of
your binder:
Students will PROVE equations using the TRIG
IDENTITIES

CW: Complete Pg. 460/ Quick Review
 CW: Pg. 460/ #1-10
 HW: Pg. 460/ #11-35, 41-51 DUE WED., THURS

PRE-CALCULUS
HW: Pg. 460/ #11-35, 41-51 DUE FRIDAY
 Complete Pg. 461/ #36-39, 52-57 with your partner

PRE-CALCULUS
HW DUE: Pg. 460/ #11-35, 41-51
 Partner Quiz – 2 people per paper
 Your Quiz should show the following:

Identities used to PROVE equation
 Process used to PROVE equation
 Showing ALL work


Laws of SINE and COSINE
PRE-CALCULUS X

1.
2.
3.
Solve the PROPORTIONS:
x 16

18 80
5x x  6

19
13
3x x  6

8
12 x
PRE-CALCULUS X – PER. 2, 7
Law
of SINES
Exploration
1 Pg. 480
PRE-CALCULUS
Project

– Due Friday 4/11
Group designations due WED., THURS.
Using
the LAW OF SINES
PG. 484/ #19-26
HW:
Pg. 484/ #1-18 Due WED.,
THURS
PG. 478
Using
the Law of SINES
o
Group Triangles
o
HW DUE: Pg. 484/ #1-18
PRE-CALCULUS
o
HW DUE: Pg. 484/ #1-18
Project ‘Surveyor’
o Due Friday April 11
o Law of COSINES Pg. 487
o Measure Tape LITE
Happy Spring Break!
o
GROUP TRIANGLES
Copy CLASS OBJECTIVE in CW Section of your Binder:
Students will use the LAW OF SINES and COSINES to
sketch and solve triangles
EVERYONE will copy all work in the CW Section of
their binder; EVERY PAIR will turn in ONE paper for
their problem
 Construct your triangles according to your information
 Use the LAW OF SINES and/or COSINES to find the
missing side(s) and angle(s), showing all work
 Find the AREA of each triangle using TWO formulas
(Heron’s and Trig)
 HW: Project ‘Surveyor’ Due FRIDAY

PRE-CALCULUS
Copy CLASS OBJECTIVE in CW Section of your Binder:
Students will use the LAW OF SINES and LAW OF
COSINES to sketch and solve triangles
Complete Pg. 485/ #37-45; Pg. 494/ #35-39;
Pg. 495/ #18, 25
 HW: Project ‘Surveyor’ Due FRIDAY 4/11

PRE-CALCULUS
Find your new ASSIGNED seat
 HW: Project ‘Surveyor’ Due FRIDAY 4/11
 HW: Pg. 494/ #5-25 Due MONDAY 4/14

Triangle Area Formulas – Heron’s Formula
 Complete Pg. 485/ #37-45; Pg. 494/ #35-39
Pg. 495/ #18, 25

PRE-CALCULUS
 HW:
Project ‘Surveyor’ Due FRIDAY 4/11
 HW: Pg. 494/ #5-25 Due MONDAY 4/14
 IN CLASS:
 Complete Pg. 485/ #37-45
 Pg. 494/ #35-39
 Pg. 495/ #18, 25
 Group Triangles….
o QUIZ FRIDAY – Law of SINES and
COSINES
PRE-CALCULUS
HW: Project ‘Surveyor’ Due TODAY
 QUIZ - Law of SINES and COSINES


HW: Pg. 494/ #5-25 Due MONDAY 4/14
PRE-CALCLUS
 JUNIORS
– ACT Test Wednesday April 23
 Complete the Quick Review – Pg. 511
 VECTORS – Exploration #1 Pg. 504
 HW: Pg. 511/ #1-30
PRE-CALCULUS
Copy the CLASS OBJECTIVE in the CW Section of your
binder:
Students will GRAPH and CALCUATE values using VECTORS in
the Cartesian plane.
 Using your group’s coordinates, graph the VECTOR in the
Cartesian plane
 Find the COMPONENT FORM of your Vector, showing ALL
work
 Graph the COMPONENT Vector on the same graph
 Find the MAGNITUDE of both the coordinate and component
vectors, showing ALL work
 Find 2 other vectors that are EQUIVALENT to your
component vector and graph them on the same graph

 HW:
Pg. 511/ #1-30
ACT PRACTICE
Pg. 125/ #47-50
 Pg. 149/ 59-64
 Pg. 186/ #73-76
 Pg. 309/ #63-68
 Pg. 368/ 67-72


ACT Test Wednesday
Be in testing room by 7:40 w/ Picture ID
 Bring a calculator if you have one – Be sure it is
an approved calculator
 No FOOD, DRINK or Cell Phones……Period

PRE-CALCULUS
Copy the CLASS OBJECTIVE in the CW Section of your binder:
Students will perform mathematical operations and find the DOT
PRODUCT using Vectors.

HW DUE: Pg. 511/ #1-30
Using the VECTORS:
v = <-7, 4>; w = <5, 9>; z = <6, -3>
Find the following:
1.
Graph for each VECTOR v, w, z
2.
|v|, |w|, |z|
3.
UNIT Vector |u| of v, w and z
4.
v+w
5.
w–z
6.
-6v + 2w – 5z
7.
Find  created by each vector v, w, z
HW: Pg. 512/ #31-40
PRE-CALCULUS
 Using
Vector Mathematics
 Pg. 512/ #41-48
 HW Due MONDAY: Pg. 512/ #31-34;
519/ #1-4, 9, 10, 13-16, 21-24
HW DUE MONDAY: PG. 512/ #31-34;
519/ #1-4, 9, 10, 13-16, 21-24
PRE-CALCULUS
POP Quiz – VECTORS
 Given the points: I = (- 4, 7) and T = (5, 5)
1. Find the component vector <v>
2. Graph BOTH the coordinate vector and the
component vector on GRAPH paper
3. Find the MAGNITUDE of <v>
4. Find the UNIT vector of <v>
5. Find one other vector EQUIVALENT to <v>
6. Graph the equivalent vector

PRE-CALCULUS


HW DUE:
Pg. 512/ #31-34; 519/ #1-4, 9, 10, 13-16, 21-24
Copy the Class Objective in CW section of your
binder:
Students will graph vectors in the coordinate plane,
calculate vector sums and graph RESULTANT Vectors
and calculate angles between vectors
o
<v> = <4, 1>
<w> = <-5, 2>
<z> = <-6, 7>
Find <v> + <w> (resultant)
Graph <w> on the ‘tail’ of vector <v>
Graph the RESULTANT vector
Find <z> <w> and <w>  <z> Are they EQUAL?
Find  between <v> <z> and <w> <z>

1.
2.
3.
4.
5.
PRE-CALCULUS
<v> = I (-3, -8), T (4, 3)
 <w> = I (7, -5), T (-1, 6)

Find the COMPONENT form of each vector
 Graph each COMPONENT vector
 Magnitude of each vector using DOT PRODUCT
 Find the DOT PRODUCT of <v> <w>
 Angle created by each INDIVIDUAL vector
 Angle BETWEEN <v> and <w>
 Vector <p> that is ORTHOGONAL to <v>
 Graph <p>

PRE-CALCULUS
Vector Partner Test today
 Complete all work in INDIVIDUAL binders
 Turn in ONE paper per group

PRE-CALCULUS
Make Up work, Test Corrections Project re-writes
due WEDNESDAY, 4:30 pm…NO EXCEPTIONS
 Senior Finals – May 19/20
 Final Review

Chapter 4 - Pg. 439/ #1-65
 Chapter 5 - Pg. 497/ #1-22, 29-34, 51-54
 Chapter 6 - Pg. 562/ #1-30

o
Parametric Equations
o
o
Pg. 530/ #1-4
HW Pg. 530/ #5-18
PRE-CALCULUS
Make Up work, Test Corrections Project rewrites due WEDNESDAY, 4:30 pm…NO
EXCEPTIONS
 Parametric Equations

Eliminating the parameter
 Parametrization of a LINE
 Projectile Motion

o
HW Pg. 530/ #5-18 due FRIDAY
PRE-CALCULUS
 HW
Pg. 530/ #5-18 due FRIDAY
 Projectile
motion using Parametric
Equations: h(t) = gt2 + v0t + s0
‘g’
= Force of Gravity; feet = -16, meters = -4.9
V0 = Initial Velocity
S0 = Initial Height
Pg. 527-528
TRY THIS…..
Stella throws a rock across a river with an initial
velocity of 32 ft/sec and an initial height of 5 feet.
 Write the equation for the height of the rock.
 The HORIZONTAL distance the rock travels is 10
feet/sec. The river is 32 feet wide.
 Does she throw the rock across the river?

USING TRIG TO SOLVE PARAMETRIC
PROJECTILE MOTION
COSINE = Horizontal Distance
 SINE = Vertical Distance
 Pg. 528 – Example #9

GOING THROUGH THE BATTING ORDER…
Did KEVIN make a home run? Q. ‘c’
 Casey is up to bat now…
V0 = 162 ft/sec
S0 = 3 ft.
  = 220


Barney is up to bat now…
V0 = 120 ft/sec
S0 = 3 ft.
  = 580
PRE-CALCULUS
HW: Pg. 530/ #39, 40, 43-48
 Quick Review – Pg. 539/ #1-10
 Polar Coordinates - Pg. 536

PRE-CALCULUS






SENIORS – FINAL EXAM MONDAY/ TUESDAY
Semester PROJECT DUE AT FINAL – NO LATE
PROJECTS ACCEPTED
Polar Coordinates
Converting between Rectangular Coordinates and
Polar Coordinates
Pg. 539/ #1-30
Polar Graph Symmetry


Pg. 541-542
6.5 – Polar Coordinate Graphs
Rose Curves
 Limacon Curves
 Spiral of Archimedes
 Lemniscate Curves

PRE-CALCULUS
Ellipses
and Hyperbolas
 Pg. 644
PRE-CALCULUS – PER. 2, 7
 QUIZ
WEDNESDAY, THURSDAY
 Q. #4, Pg. 494
Triangle AREA, HERON’S Formula
 Group Problems – Pg. 494-495
 Project – ‘You Be the Surveyor’
Due
HW:
Friday April 5
Pg. 494/ #1-20, #21-34 – ALL DUE
FRIDAY
PRE-CALCULUS – PER. 2, 7
 QUIZ
WEDNESDAY, THURSDAY
 Group Problems – Pg. 494-495
Poster

completed by 2:25
Q. #4, Pg. 494
Triangle
 Project
Due
HW:
AREA, HERON’S Formula
– ‘You Be the Surveyor’
Friday April 5
Pg. 494/ #1-20, #21-34 – ALL DUE
FRIDAY
PRE-CALCULUS – PER. 2, 7


Quiz Today
Q. #4, Pg. 494
Triangle
 Project
AREA, HERON’S Formula
– ‘You Be the Surveyor’
Project Group list due FRIDAY
 Project Due Friday April 5

HW:
Pg. 494/ #1-20, #21-34 – ALL DUE
FRIDAY
PCX – PER. 2, 7
•HW Due Today: Pg. 392/ #35-70
•Progress Reports – Make Up Work Due
MONDAY DECEMBER 17, 3 P.M.
•NO EXCEPTIONS!
•Concept Map Project Due at Final
• NO LATE PROJECTS ACCEPTED
•Binder and Textbook Checks TODAY
•WSheet: Graphs to Equations
PRE-CALCULUS – PER. 2, 7
HW : Pg. 356/ #1-38
 Complete the Pg. 356/ QUICK REVIEW and
Q. #33, 34 with your group.
 Trig Ratios

PRE-CALCULUS – PER. 2, 7

Copy the CLASS OBJECTIVE in the CW
Section of your 3-ring binder
6
Students will find the -TRIG Ratios for EQULATERAL
and ISOSCELES Triangles
HW Due Today: Pg. 357/#39-43, 45, 47-49, 53
 Complete the Quick Review: Pg. 366 with your
group
 Finding Trig Ratios using Equilateral and
Isosceles Triangles
 HW: Pg. 366/ #1-24

PRE-CALCULUS

All make-up work due TODAY, 4:30 P.M. –
NO EXCEPTIONS.
PRE-CALCULUS – PER. 2, 7
HW Due Today: Pg. 357/#39-43, 45, 47-49, 53
 HW: Pg. 366/ #1-24
 On the back of your TRIANGLE paper, Construct an
ISOSCELES RIGHT TRIANGLE
 Measure the two BASE angles…are they CONGRUENT?
 Find the 6-Trig Function RATIOS for the BASE ANGLES

PRE-CALCULUS X – PER. 2, 7
=

Construct a RIGHT TRIANGLE with a SIN

Find the other 5 TRIG RATIOS for the triangle
PRE-CALCULUS X – PER. 7
HW Due TODAY: Pg. 366/ #1-24
 With your calculator, Complete Pg. 367/ #29-40

PRE-CALCULUS X – PER. 2, 7

Given the RIGHT TRIANGLE DABC with SIN B =
A
C
B
Find:
COS B, TAN B, CSC B, SEC B and COT B
SIN A, COS A, TAN A, CSC A, SEC A and COT A
Find: A using INVERSE TRIG
HW: Pg. 367/ #41-58, 61, 62
EXIT: Arc Measure, Angle Conversions
PRE-CALCULUS – PER. 2, 7
HW DUE: Pg. 367/ #41-58, 61, 62
Copy the CLASS OBJECTIVE in the CW Section of
your binder
 Solving Triangles
Using TRIG, Find all SIDE LENGTHS and ANGLE

5
MEASURES for the triangle if SIN  =
12

a
PRE-CALCULUS X – PER. 2, 7
A monkey sees a coconut in a tree. He is
looking at the coconut at an angle of 540,
and he is standing 32 ft. from the tree.
 How high up is the coconut?
1.
Draw a sketch of the situation,
labeling the given information.
2.
Find the height of the tree,
showing all work

PRE-CALCULUS – PER. 2, 7


1.
Copy the CLASS OBJECTIVE in the CW Section
of your 3-ring binder
Draw a sketch of the problem and solve for the
missing values:
Mr. Banks is flying his kite. The kite is 60 feet in the
air and he can see it at an angle of 660. How long is
the string on the kite?
2.
Mr. Banks has his kite stuck in a tree. He can see
the kite at an angle of 400 when he is 18 feet from
the base of the tree. How high in the tree is the kite
stranded?
3.
A 20 ft. ladder is against the wall, with the base of
the ladder 2.5 feet from the wall. What is the angle
formed with the ladder against the wall?
PRE-CALCULUS – PER. 2, 7
HW: PG. 381/ #1-12, 21-36
 EXIT
Quiz
Find the REFERENCE Angle
 for each:


1.
4100

2.
5400

3.
-4200
Mr. Nibs, the cat, is stuck in a tree 18 feet above the ground.
Stella is 24 feet from the base of the tree. At what angle does
Stella see Mr. Nibs?
4. Draw the triangle for the situation and find .


PRE-CALCULUS X – PER. 2, 7
HW DUE: Pg. 381/ #1-12, 21-36
 HW: Pg. 381/ #55-60, 62-66 Due MONDAY
Nov. 26
 In Class: WSheet ‘Did You Hear About…”

PRE-CALCULUS – PER. 2, 7
HW DUE: Pg. 381/ #1-12, 21-36
 With your group, complete Pg. 381/ #37-48


HW: Pg. 381/ #55-60, 62-66
PRE-CALCULUS – PER. 2, 7
HW DUE: Pg. 381/ #55-60, 62-66
 Make-Up work, test corrections due TODAY, 3:00
pm.
 You need:


Graph paper, pencil, calculator
With your group, complete the TRIG table on your
YELLOW page notes. Refer to the UNIT CIRCLE on
pg. 380
 HW: Graph on Graph Paper:





SIN x + 3
COS (x – 3)
SIN (3x)
COS (x/3)
PRE-CALCULUS X – PER, 2, 7
With your group, complete the TRIG table on
your YELLOW page notes. Refer to the UNIT
CIRCLE on pg. 380
 HW DUE: Graph on Graph Paper:

SIN x + 3
 COS (x – 3)
 SIN (3x)
 COS (x/3)


You need:
SIN X and COS X Graphs, pencil, calculator
o HW: Pg. 393/ #1-22

PRE-CALCULUS X – PER. 2, 7

HW DUE : Pg. 393/ #1-22
For each problem below, state the QUADRANT
location of the triangle AND find the 6 TRIG RATIOS
for the triangle.
1.
(-3, 7)

2.
2400
3.
Find 3 angles COTERMINAL
4.
with
5
3
Find

for the angle at (3, -8)
PRE-CALCULUS X – PER. 2, 7


The Leaning Tower of Pisa leans at an angle of 40
from center. The tower is 186 ft. high at its
highest point. How far above the ground is the
highest point on the tower?
HW: Pg. 392/ #23-34
PRE-CALCULUS – PER. 2, 7
 HW
DUE : Pg. 393/ #1-22
 Quick Review Pg. 392
 You
need: Graph of SIN X and COS X;
Notes
 Pg. 388/ Examples #4, 5 – Phase Shift
Equations of f(x)= a sin (bx + c) +d
 HW: Pg. 392/ #23-34
PRE-CALCULUS – PER. 2, 7
 HW

DUE: Pg. 392/ #23-34
Semester Project – Due at FINAL EXAM
 NO
LATE PROJECTS ACCEPTED!!
Binder Checks MONDAY and TUESDAY
 Finish Trig Graph Posters
 HW: Pg. 392/ #35-60

PRE-CALCULUS – PER. 2, 7
 HW:
Pg. 392/ #23-34
Group Trig Graphing
 Each INDIVIDUAL will complete the following in the
CW Section of your binder, each GROUP will complete
on a POSTER:







A TABLE showing 3 PERIODS of your function
A GRAPH showing 3 PERIODS of your function
Label the AMPLITUDE of the function
Define and Describe the PHASE SHIFT, TRANSLATION
and TRANSFORMATION of your function
Is your function in RADIANS? Do your work in RADIANS!
Is your function in DEGREES? Do your work in DEGREES!
PCX – PER. 2, 7
Complete Pg. 392/ #35-40 with your group
 Notes
 HW: Pg. 392/ #35-70

PRE-CALCULUS X – PER. 2, 7
• Copy
CLASS OBJECTIVE in the
CW Section of your binder
•HW Due Today: Pg. 392/ #35-70; WSHT
Trig Graphs
•Group Quiz - 6 Trig Graphs
PCX – PER. 2, 7
•Group Quiz - 6 Trig Graphs
• Find the AMPLITUDE (a)
• Find the PERIOD (b)
• Find the VERTICAL SHIFT (d)
• Find the PHASE (horizontal) SHIFT (c)
• Write the Equation for the graph
• Verify using your graphing calculator
• Use: HW, Notes, CW, Textbook
PCX – PER. 2, 7
•You Need:
•Concept Map Project
•NO LATE PROJECTS ACCEPTED
•Pencil and a SMILE :-)
• Final Exam
PCX – PER. 2, 7
Due TODAY: Make Up Work and Test Corrections
 Per. 2 - Concept Map Project
 Final Exam

= 0%, ‘F’ on Final Exam
and Confiscation of phone
PRE-CALCULUS – PER. 2, 7
Find your ASSIGNED Seat
 2013 Tardy Policy
 Binders / Syllabus / Grading



Tutoring


Notes, Graphs, Tests
Monday and Tuesday 3-4:30 p.m.
Schedule: Week of 1/8-1/11
Tuesday, Wednesday – Regular Schedule – Per. 1-7
 Thursday: ACCESS Testing, Practice AP Tests



7:45 – 11 am
Friday: Regular Schedule Per. 1-7: Class Meetings
LET’S GO!

You need:
Graph Paper, Textbook, Calculator
 Graph: TAN X; SEC X and CSC X on separate
sections of graph paper


X-scale from 2 to
2

HW: Pg. 400/ Quick Start #1-10
PCX – PER. 2, 7
Copy Class objective in CW section of your 3-ring
binder
 You need: Notebook paper, graph paper, pencil,
calculator
 ACCESS Testing, Practice AP Testing Thursday,
7:45 – 11 am – Check lists on each floor
 Finish: Graphs TAN, CSC and SEC
 HW DUE: Pg. 400/ Quick Start #1-10
 ‘The Ferris Wheel’
 HW: #2, 3 “A Ferris Wheel”

PCX – PER. 2, 7




Binder and Textbook checks MONDAY
HW Due: ‘A Clear View’, #2, 3 “A Ferris Wheel”
CW: ‘A Clear View’, ‘Beach Adventures’
HW: Another Ferris Wheel
Go Broncos!
TAKE CARE OF YOURSELF!!
Flu
Tips!
 Use hand sanitizer and Kleenex
 Wash hands often for 30 seconds or
more
 Are you Sick? Fever? Stay home and
get well!
PRE-CALCULUS PER. 2, 7
HW
Due: Another Ferris Wheel
Binder and Textbook checks
Today
In class: Pg. 401/ 1-3, 29-31, 35-37
HW: Pg. 402/ #5-28, 32-34, 38-40,
63, 65
PRE-CALCULUS – PER. 2, 7
 You
need: Yellow Page Unit Circle
Notes and Table
 In class: Pg. 401/ 1-3, 29-31, 35-37
 HW: Pg. 402/ #5-28, 32-34, 38-40, 63, 65
PRE-CALCULUS – PER. 2, 7
HW DUE: Pg. 402/ #5-28, 32-34, 38-40, 63, 65
 Finish Investigation #1/ Pg. 407
 Group Work: Pg. 402/ #41, 42, 44, 45, 46, 47, 57, 58


o
Be ready to present your table’s problem at 2:20
HW: Pg. 411/ #1, 4, 13, 16 SKETCH the functions
PRE-CALCULUS – PER. 2, 7
HW DUE: Pg. 411/ #1, 4, 13, 16 SKETCH the
functions
 Group Work: Pg. 402/ #41, 42, 44, 45, 46, 47,
57, 58


o

Be ready to present your table’s problem in 15
minutes
Exploration #1/ Pg. 419
ARCSIN vs. SIN-1
HW/ Pg. 421/ #1-12
 HW: Do Something
GREAT in your community
this weekend!

PRE-CALCULUS – PER. 2, 7






HW DUE: Pg. 411/ #1, 4, 13, 16 - SKETCH the
functions; Pg. 421/ #1-12
HW Pg. 402/ #34
Exploration #1/ Pg. 419
Solving TRIG Equations using Inverse Trig
Notes
HW DUE: Pg. 421/ #23-32; WSheet ‘Sinusoids’
C’mon SNOW!!
PRE-CALCULUS – PER. 2, 7
 HW
DUE: Pg. 421/ #1-12, 23-32;
WSheet ‘Sinusoids’
 Complete with your group: Pg. 421/
#13-20
 In Class: #33-36, 54b (graph)
 HW: Pg. 422/ #41-48, 53-55
Hawaiian Day Monday
PRE-CALCULUS – PER. 2, 7
 HW
DUE: Pg. 421-22/ #1-12, 23-32; 4148, 53-55; WSheet ‘Sinusoids’
 Complete: Quick Review/ Pg. 431
 Group Problems – Present
TOMORROW
 HW: Pg. 432/ #9-15
 Quiz: Wed./Thurs.
Tuesday – ‘Dress to Impress’
PRE-CALCULUS – PER. 2, 7
HW DUE: Pg. 421-422/ #41-48, 53-55
 Group Problems – Pg. 431 – Due at 2:30
CW Section of Binder
Each Group = 1 Paper;
Sketch
Equation and solving showing ALL work

Graph: 15 + 22 cos(4x)
 HW: Pg. 432/ #9-15
 Quiz Tomorrow/Thursday
 Sketching and Solving Trig Equations
 Ferris Wheel Problem
 Angular Speed, Circumference, Solving etc…
 Amplitude, Period, Frequency, Mid-Line
 Finding  using Trig Table/Unit Circle

Tomorrow – SportsCenter Day
PRE-CALCULUS – PER. 2, 7
 TEST
Today:
 You need:
 Unit Circle/TRIG Table Yellow
page notes, pencil, calculator
 HW: Pg. 432/ #9-15 Due Friday
PRE-CALCULUS – PER. 2, 7
 HW
DUE: Pg. 432/ #9-15
 Trig POST Test Review
 Assembly Schedule TODAY
PRE-CALCULUS – PER. 2, 7
 Due

TODAY: Trig POST Test Review
Convert from RADIANS <> DEGREES:
7
3

264
0
Find the SIX TRIG RATIOS for the point or angle:
( 2,5)
5
6
SKETCH AND SOLVE

Mr. Nibs is again, stuck in a tree! The fireman
4
can see him at an angle of
. The fireman is
15
standing 28 feet from the tree. How high up is
Mr. Nibs?

HW: Pg. 439/ #1-81 ODDS - Due WED./THURS.
PRE-CALCULUS – PER. 2, 7
With your group, complete: Pg. 451/ Quick Review
 In Class: Identities

Exploration #2 Pg. 378
 Exploration #1 Pg. 445


HW: Pg. 439/ #1-81 ODDS – Due WED./THURS.
PRE-CALCULUS – PER. 2, 7
HW DUE: Pg. 439/ #1-81 ODDS
 TRIG POST Test
 In Class: Identities

Exploration #2 Pg. 378
 Exploration #1 Pg. 445

PRE-CALCULUS – PER. 2, 7
 Pg.
378/ #1-9
 In Class: Identities
 Exploration #1 Pg. 445
 Pg. 451/ #1-4
o Notes on Identities
 HW: Pg. 451/ #5-22
PRE-CALCULUS – PER. 2, 7
Copy the CLASS OBJECTIVE in the
CW Section of your binder
 Starter: Complete Pg. 451/ #1-4
 Notes on Identities
 HW: Pg. 451/ #5-22

PRE-CALCULUS – PER. 2, 7
HW: Pg. 451/ #5-22, Pg. 452/ 27-38 Due Friday
 Group Problems


Solve your problem using IDENTITIES, showing all
steps. Be ready to present at 8:15 (2:20)
PRE-CALCULUS – PER. 2, 7
WORKSHEET: Trig Review and Identities
 HW: Pg. 451/ #5-22, Pg. 452/ 27-38 Due Friday

PRE-CALCULUS – PER. 2, 7
HW Due: Pg. 451/ #5-22, Pg. 452/ #27-38
 #35?? !
 In Class: Pg. 452/ #23-26

PRE-CALCULUS – PER. 2, 7

Starter: Prove the equations are TRUE
showing all work and stating the identities
you used:
cot  (sec   1)  1
2
2
(1  sin  )(1  sin  )  cos 
2
PRE-CALCULUS – PER. 2, 7
 HW
Due: Pg. 451/ #5-22, Pg. 452/ #27-38;
Wsheet ‘Graphing Circular Functions’
 Test Corrections and Make Up work
due TODAY – 3 p.m.
 With your group, complete #39-46 Pg.
452
 PROVING Identities – Pg. 460/ #1-10
 Group Tasks: #11-18
 HW: Pg. 452/ #39-74 Due FRIDAY
 Quiz Friday: Identities
C

Group Quiz – Identities
Each INDIVIDUAL member completes ALL PROBLEMS
ON INDIVIDUAL PAPER in CW Section of Binder
 Each GROUP turns in ONE (1) COMPLETED QUIZ

oHW:
Pg. 452/ #39-74 Due Monday
PRE-CALCULUS – PER. 2, 7
oHW
Due: Pg. 452/ #39-74
oWith your group, complete the
QUICK REVIEW Pg. 460
oExploration #1, Pg. 463
oNotes: Sum-difference, Double
and Half Angle Identities
oHW: Pg. 468/ #1-22
PRE-CALCULUS – PER. 2, 7
oHW
Due: Pg. 452/ #39-74
oExploration #1, Pg. 463
oNotes:
Sum-difference Identities
o Double and Half Angle Identities
o
oHW:
Pg. 468/ #1-22
oQUIZ: WEDNESDAY, THURSDAY
PCX – PER. 2, 7
 Quiz
TODAY!
oHW: Pg. 468/ #1-22
oSum/Difference, Double and Half
Angle Identities
PCX – PER. 2, 7
QUIZ Today – You need:
 Yellow Page Notes
o HW: Pg. 468/ #1-22
o Notes:
• Sum/Difference, Double
and Half Angle Identities

PRE-CALCULUS X – PER. 2, 7
o
HW: Pg. 468/ #1-22
o
Notes:
Sum/Difference, Double and
Half Angle Identities
•
o
HW: Pg. 475/ #1-36
Pre-Calculus – Per. 2, 7
Happy Spring Break!
 HW
DUE TODAY: Pg. 494/ #1-20, #21-34
 Project Group List – 3 students per
group
 Group Exploration for Project
 You need:

o
o
Protractor, calculator, graph paper,
pencil
Project Due – Friday April 5
No late projects accepted after 3 p.m.
April 8
PRE-CALCULUS – PER. 2, 7
 Project
Due FRIDAY
 Complete Quick Review/ Pg. 511
 Vectors
 HW: Pg. 498/ #51-60, 62-64 DUE
TUESDAY
PRE-CALCULUS – PER. 2, 7
Copy the CLASS OBJECTIVE in the CW
Section of your 3-ring Binder
 HW Task – Pg. 498/ #51-60, 62-64


Due at 9:00 – 1 paper per table
Notes: VECTORS
 Exploration #1 – Vector Archery
 HW/ Pg. 511/ #1-24

PRE-CALCULUS PER, 2, 7
 SURVEY




PROJECTS DUE TODAY!!
HW: Pg. 511/ #1-40 Due Monday
Unit Vectors – Vector Components from
Finding
Direction
In Class: Group Vector Task – Find the Following:









Component form of each vector v1, v2`
Vector SUM (Resultant) of v1 + v2
Magnitude of v1, v2 and Resultant
Scalar Vector for v1, v2, , Resultant; for Scalar = 4
Unit Vector of v1, v2, and Resultant Vector
Graph the vectors v1, v2, and Resultant on the same grid
Directional Angle for v1, v2, and Resultant Vector
PRE-CALCULUS PER, 2, 7
 HW





DUE: Pg. 511/ #1-40
Copy CLASS OBJECTIVE in CW Section of your binder
READ: Example 8, Pg. 509
Complete Q #41-44, Pg. 512 with your group
Vector DOT Products
1
2
Finding the Angle Between Two Vectors
v v



HW: Pg. 512/ #43, 44; 519/ #1-24
Quiz: Friday - VECTORS
PRE-CALCULUS X – PER. 2, 7
HW DUE: Pg. 512/ #43, 44 – share with
Partners
 Due Monday: 519/ #1-24
 TEST Wednesday / Thursday- VECTORS

PRE-CALCULUS X – PER. 2, 7
HW Due: 519/ #1-24
 Test – VECTORS - TODAY
 TEST CORRECTIONS – Law of SINES,
COSINES Due FRIDAY
 In Class: Pg. 520/ #29-32



You need: Graph paper
Parametric Equations

PARA’ – Side-by-Side: ‘METRIC’ – to Measure
PAR Mode with TI-83
 HW: Pg. 520/ #33-42; Pg. 530/ #5-18

PRE-CALCULUS X – PER. 2, 7
HW Due: 519/ #1-24, 33-42
 Test – VECTORS - TODAY
 TEST CORRECTIONS – Law of SINES,
COSINES Due FRIDAY

PRE-CALCULUS PER. 2, 7

ACT Test Tomorrow

TIMED - Standardized Test Questions with your
group
PARA’ – Side-by-Side: ‘METRIC’ – to Measure
 PAR Mode with TI-83
 Pg. 530/ #5-18

PRE-CALCULUS – PER. 2, 7

o
o
o
o
Writing Parametric Equations
 Read EXAMPLES 4, 5 and 6: Pages 524-526
In Class: Q. 27-36
On Calculator: Q. #38, Pg. 530
HW DUE: Pg. 531/ #5-18, 39-41, 43, 44, 50
QUIZ – WED. / THURS. – Parametric Eqn’s.
PRE-CALCULUS X – PER. 2, 7

Parametric Equations GROUP Quiz
Each member copy ALL problems in CW
Section of your binder.
 Complete all problems with your group.
 Hand in ONE (1) test per group.


HW: Pg. 539/ #1-14
FINAL EXAM REVIEW
o
Chapter 4 – Trig Functions
o
o
Chapter 5 – Analytic Trig
o
o
o
o
o
Trig Ratios, Setting up and Solving Right Triangles using
TRIG
Chapter Review – Pg. 439
Trig Identities, Laws of SIN and COS, AREA of triangles using
LAWS, Heron’s Law and TRIG area formulas
o
Chapter Review – Pg. 497
Chapter 6 – Applications of TRIG
Vectors and Vector operations, Parametric Equations, Polar
Coordinates, Graphs of Polar Equations
o
Chapter Review – Pg. 562
Chapter 3 – Exponential Functions and LOGS
o
(JR. Soph. ONLY)
SENIOR FINALS
Wednesday / Thursday May 15, 16
 Jr. / Soph. Finals TBA

PRE-CALCULUS X – PER. 2, 7

Polar Coordinates

o
Coordinate points consisting of RADIUS (r) and
ANGLE MEASURE ( )
HW: Pg. 539/ #1-30

PRE-CALCULUS X – PER. 2, 7
Complete Quick Review 6.4 – Pg. 539 with
your group
 Binder Checks Wednesday / Thursday
 Polar Coordinates – Polar Equations


o
Pg. 540/ #31-34
HW: Pg. 539/ #1-30
PRE-CALCULUS X – PER. 2, 7
Binder Checks WEDNESDAY/THURSDAY
 HW DUE: Pg. 539/ #1-30
 Final Exams – Final Concept Map
 Rose Curves, Limacons, Lemniscate Curves

PRE-CALCULUS X – PER. 2, 7

Make a table and graph the function on POLAR
paper:
0 <  < 360 : going by 300
r=
6 sin 2
2
Senior Final – Wednesday/Thursday
Concept Maps due at FINAL
No Late projects accepted
ADD TO CONCEPT MAP / FINAL EXAM
TOPICS

Equations of Sinusoidal Graphs





o
o
o
o
Amplitude
Period
Frequency
Phase Shift
Midline
Tuesday: Q & A Day on Concepts
Wednesday / Thursday: Senior Final
Seniors: Group Work on Concept Maps and
study time
Junior – Sophomores: Exponential G/D
CONGRATULATIONS MEAGAN!!
You’re A #1 Rebel!!
PRE-CALCULUS X
Exponential Growth and Decay
 Exponential Functions
 NOTES

SENIOR FINALS
 You
need:
 Concept Map
(Seniors only)
 Yellow Page
Notes
 Pencil,
Calculator
Congratulations
SENIORS – Class
of 2013
EXPONENTIAL GROWTH/DECAY

1.
2.
3.
4.
Write an EXPONENTIAL function for each
situation:
Stella invested $2000 in a Certificate of
Deposit (CD) that pays 3.85%, compounded
monthly.
A population of 1220 hummingbirds is
decreasing by 12.5% every year.
A coin collection valued at $800 APPRECIATES
in value by 3.5% each year
A NEW car, valued at $22,500 DEPRECIATES in
value by 8.5% each year.
USE THE EQUATIONS TO FIND:






Stella’s CD value in 5 years
Time it takes Stella’s investment to be $3000
Number of hummingbirds in 7 years
Time it takes for population to be below 500
Value of the coin collection in 10 years
Time it takes collection to be worth $1500

Value of the car in 12 years
Time it takes car to be worth $5000

HW: Pg. 286/ #1-14

PRE-CALCULUS X
 Complete
Quick Review 3.2, Pg. 296
with your group
 In Class – Pg. 296/ #1-22
 Logarithms
 Notes
 Solving using LOGS
 ‘e’ - Euler’s Number
 HW: Pg. 286/ #1-14; Pg. 297/ #29-34;
Pg. 317/ #1-22
PRE-CALCULUS X – PER. 2, 7
HW Due FRIDAY: Pg. 286/ #1-14; Pg. 297/
#29-34; Pg. 317/ #1-22
 Today:
 Group LOG Poster

GROUP LOG POSTER
All group members should have ALL work in the
CW section of their 3-ring binder
 Each group will complete ONE group paper for their task
 Each poster should have the following:










Copy of table
Work showing calculation of START VALUE
Equation for situation
Explain the GROWTH/DECAY Rate and Factor
Graph of situation up to 12 years
Calculations for value at 10 years; 25 years w/ values
shown on GRAPH for 10 years
Calculations for value to DOUBLE or HALF using
LOGS
Teacher Question
Summary – 3-5 sentences
PRE-CALCULUS
Make Up Work, Test Corrections due TODAY, 4:30
pm….NO EXCEPTIONS
 Find the VERTICAL and HORIZONTAL
Asymptotes for each function. Confirm your
answer using the GRAPH of each:

2
1.
3.
3x
f ( x)  2
2x  5
x4
f ( x) 
3x  5
x 2  14 x  51
2. f ( x) 
x3
3
4.
4x
f ( x)  3
x  27
PRE-CALCULUS – FINAL REVIEW
Make Up Work, Test Corrections due TODAY,
4:30 pm NO EXCEPTIONS
 Given the TERMINAL point (-8, -12):
 Graph the angle created at the terminal point
 Find all 6 TRIG ratios for the angle created
 Find the measure of the angle created in RADIANS
and DEGREES
 Find two angles CO-TERMINAL with the angle


Mr. Nibs, you guessed it….he’s on top of the garage! He
can see his mother at an angle of 220. His mother is 42
feet from the garage. How high up is Mr. Nibs? What
angle is his mother looking at him?