• 480-883-5095
     
     
    Hi, my name is Bob Lilley. I am beginning my 12th year at Hamilton High School and my 47rd year of teaching high school mathematics. Prior to coming to Hamilton I spent 35 years teaching at an all boys Catholic High School in Baltimore, Maryland named Mt. St. Joseph High School, which was also my Alma Mater. I graduated from the University of Maryland with a Bachelor of Science degree in Mathematics and from Towson University with a Masters degree in Mathematics Education.
     
    I have also spent the last 32 years teaching Mathematics at the Community College level. Currently I am teaching one course (MAT 151 College Algebra) at Chandler Gilbert Community College
     
    Currently I teach AP Calculus AB (2 sections) and Honors Pre-Calculus (3 sections) at Hamilton High School.
     
     
    My Email address: lilley.robert@cusd80.com
     
     
     
     
     
     
    _______________________________________________________________________________________________________________________
     
     
     
     
     
    _______________________________________________________________________________________________________________________
     

     

    Syllabus - AP calculus AB:
     

    Student Name _______________________________                                                                                               period _______

     

     

    Course Title:                 AP Calculus AB        Hamilton High School                                                                   2019-2020

     

    Instructor:                      Mr. Lilley                              lilley.robert@cusd80.com                                                 phone:  883-5095

                                                                     

                                           Website:                                www.mychandlerschools.org

     

    Supplies:               Pencil, notebook, binder, and graphing calculator (TI 83 or 84 highly recommended)

     

    Course Overview:              This course is designed for the student who has shown superior achievement in an accelerated high school, college preparatory curriculum.  The course includes all topics recommended by the College Board Committee for the Advanced Placement Calculus AB program. Since this course prepares students for the AP Calculus AB Exam it is expected that every student will take the AP Calculus AB exam or enroll in the Dual Credit Program or both. We hope that every student who successfully completes this course will receive some type of college credit.

     

     

    Parent Access:

    “Go to the Hamilton High School website and  click on “Parent Portal”.  At the bottom of the page, click on the “Create your Infinite Campus Parent Portal Account” icon.”

    * Step 1: Enter Your Email Address that you provided to your child's school

    * Step 2: Click Submit

    * Step 3: Open the email from Campus No Reply - campus@smtp2.cusd80.com (You may need to look in your spam or junk folder) and click on the link provided.

    * Step 4: After clicking on the link from the above step, you will enter in a password and then click Create My Account.

    * Step 5: Login to the parent portal with your new account. 

     

     

    Advanced Placement Program:    AP Calculus is equivalent to a college level Calculus course.  Most universities will give 4 credits for a successful AP exam (given in early May).  Tax credit money can be used to pay the cost of the exam. The AP Calculus Exam is a difficult, challenging exam. Students who wish to score a 3 or better on this exam need to study, memorize and work hard throughout the year, and practice as many sample questions as possible prior to taking the exam.

     

     

    Dual credit/enrollment:        Chandler Gilbert Community College offers high school students dual credit.  If a student maintains at least a C average for both semesters and pays the tuition, they will receive college credit for the course which may transfer to a University as math credit or an elective.  Contact the individual schools for more details. 

     

     

    Course Objectives:            The learner will:

    1. Evaluate limits numerically, graphically, and analytically.
    2. Be able to calculate the derivative of a function numerically, graphically, and analytically.
    3. Be able to calculate derivatives and apply them to a variety of applications.
    4. Be able to evaluate integrals numerically, graphically, and analytically.
    5. Be able to differentiate and integrate transcendental functions.
    6. Be able to apply integration in solving practical applications and represent the problems graphically and analytically.

     

     

    Attendance/Homework/Worksheets/Handouts:       

    1. Checked at discretion of the teacher, should be kept and organized in a notebook, binder or folder.
    2. Homework will be worth 5 points each assignment. Assignments are collected each class period and returned the next class. Students should routinely show the work that justifies the answers.
    3. Late work will be accepted but appropriate points will be deducted depending on the reasons for the lateness.
    4. Homework also assigned and graded using Webworks, an on-line system.  These assignments will count the same as a quiz/test grade.

          Address: http://webwork.tuhsd.k12.az.us/webwork2 

           Username is your last name first initial (smithj) and your password is your student ID number

     

     

     

     

    Attendance:       It is essential that you come to class each day and that you are on time. Students should be at their seat and ready to go when the bell rings to begin class. When you are absent you should find out what you missed, including copying notes or class work results. You can ask a reliable classmate or check with me. If you miss the day of a test or quiz, you should make these up in a timely manner, usually one or two days. Tardy students will be warned the first two occurrences to arrive on time. After the third tardy a conference between the teacher and the student will take place and missed time will be made up by the tardy student after school.

     

     

    Absences:        Excessive absences will not be tolerated. After the third absence a conference will take place between the absent student and the teacher. After the 4th absence parents will be notified. After the 5th absence a referral will be given and the student’s administrator will be notified. Excessive absences will also be reported to Mr. Calvo. Any student absent 9 times may be dropped from the course.

     

    Classroom Rules:

    1. Be prepared every day with all necessary supplies and completed homework. Take care

           of all personal business before coming to class.

    1. Be respectful to yourself, your classmates and your teacher.
    2. Profanity is not allowed.
    3. Follow directions the first time they are given.
    4. During instruction raise your hand and wait to be called upon to speak.
    5. No food or drink (except water) is allowed in the classroom. Please finish and dispose of all food and drink before entering the classroom.

    Follow all school rules. Failure to do so can result in After School Detention and could result in dismissal from class. Make sure you read the student handbook, which can be found online

     

     

    Diversity statement:       All individuals have a right to an educational environment free from bias, prejudice and bigotry.  As members of the Hamilton High School educational community, students are expected to refrain from participation in acts of harassment that are designed to demean another student’s race, gender, ethnicity, religious preference, disability or sexual orientation.

     

    Textbook:        You will be given a textbook that you are to take home and leave at home. Use this book to do your homework and to study for tests, quizzes and exams. You must return the textbook to me at the end of the year in the same condition as it was given to you. If you leave the class for any reason you must return the textbook. You are responsible for the cost to replace any textbook.

     

    Grades:

    1. The scale is 90-A, 80-B, 70-C, 60-D, 59-F.  The semester grade is figured on a 40-40-20 scale.
    2. Chapter tests will be worth up to 100 points, Quizzes are 10-50 points, and webwork is 20-100 points.
    3. Chapter tests are usually taken from homework, webwork and review.

     

    Grading:       Your grade in this course will be an approximate average as follows:

     

    *Tests

    50% of Quarter grade

    *Quizzes, Webwork and Projects

    35% of Quarter grade

    * Daily assignments.

    15% of Quarter grade

     

    Extra help:

    1. By appointment during conference or 6th period (In room C209 A) or Husky Room after school.
    2. During the first semester I leave the Hamilton campus at 3:00 pm on Monday and Wednesday to teach at Chandler Gilbert Community College. I am available after school on Tuesdays and Thursdays. I am also available during 6th  period on most days, in room C209 A.
    3. The Husky Room is available every day after school in room C211.

     

    Electronic Devices:       Electronic devices are not to be evident in class. Turn off all cell phones, music devices, etc. and keep them in your bag out of sight. Electronic devices that I see or hear may be confiscated.

     

     

    Student Name (print) ____________________________________       Date________

     

    Student Signature _______________________________________

     

    Student Signature ____________________________________       Date________ 

     

    email ______________________________________________

     

     

        Name ____________________________                                                                            Period _______

     

        Topics Covered – AP Calculus AB 2019 – 2020     Hamilton High School               (Robert M. Lilley)

     

        Text: Calculus: Early Transcendental Functions by Ron Larson and Bruce Edwards (6e AP Edition)

              Cengage Learning  ISBN 13: 978-1-285-77589-0

     

     

        Chapter 1: Prerequisites for Calculus (2.5 weeks)

     

    1. Linear Models and Rates of Change
    2. Functions and Graphs
    3. Fitting Models to Data
    4. Inverse Functions
    5. Exponential and Logarithmic Functions

     

        Chapter 2:  Limits and Their Properties (2 weeks)

     

    1. Finding Limits Graphically and Numerically
    2. Evaluating Limits Analytically
    3. Continuity and One-Sided Limits
    4. Infinite Limits

     

        Chapter 3: Derivatives (5 weeks)

     

    1. The Derivative and the Tangent Line Problem
    2. Basic Differentiation Rules and Rates of Change
    3. Product and Quotient Rules and Higher Order Derivatives
    4. Chain Rule
    5. Implicit Differentiation
    6. Derivatives of Inverse Functions
    7. Related Rates
    8. Newton’s Method

     

        Chapter 4: Applications of the Derivative (5.5 weeks)

     

    1. Extrema on an Interval
    2. Rolle’s Theorem and the Mean Value Theorem
    3. Increasing and Decreasing Functions and the First Derivative Test
    4. Concavity and the Second Derivative Test
    5. Connecting f '(x) and f ''(x) with the Graph f(x)
    6. Limits at Infinity
    7. A Summary of Curve Sketching
    8. Optimization Problems
    9. Differentials

     

        First Semester Review and Exam (1 week)

     

        Chapter 5: Integration (5 weeks)

     

    1. Antiderivatives and Indefinite Integration
    2. Area
    3. Riemann Sums and Definite Integrals
    4. Fundamental Theorem of Calculus
    5. Integration by Substitution
    6. Numerical Integration, The Trapezoidal Rule
    7. The Natural Logarithmic Function: Integration
    8. Inverse Trigonometric Functions: Integration

     

        Chapter 6: Differential Equations (5 weeks)

     

    1. Slope Fields and Euler’s Method
    2. Differential Equations: Growth and Decay
    3. Differential Equations: Separations of Variables
    4. First Order Linear Differential Equations

     

        Chapter 7: Applications of Definite Integrals (4.5 weeks)

     

    1. Area of a Region Between Two Curves
    2. Volume: The Disc Method
    3. Volume: Cross Sectional Area Method
    4. Volume: Solids of Revolution

     

        Chapter 8: L’Hopital’s Rule  (.5 weeks)

     

    1. Indeterminate Forms
    2. L’Hopital’s Rule

     

        Review for AP Exam (5 weeks)

     

        AP Calculus AB Exam: To Be Announced

     

        Final Exam

     

     

    AP CALCULUS AB

    1st QUARTER- Calendar

                                            2019-2020 SCHOOL YEAR                     Update 7/18/19

    DAY

    DATE

    TOPIC

    Homework – Subject to change

    1

    7/23 T

    1-0   Syllabus, Course Overview

     

    1-0  Fractions Worksheet

    2

    7/24 W

    1-2     Linear Equations, Slope, Rates of Change, Parallel and Perpendicular Lines

    1-2  Page 16-18 #3-66 multiples of 3, 78, 83

    3

    7/25 Th

    1-3  Functions, Domain, Range, Even, Odd, Piecewise, Absolute Value, Composite

     

    1-3   Page 27-30 #3-69 multiples of 3, 71, 77, 79, 83, 86, 93

     

    5

    7/26 F

    1-4   Regression Functions

             Quiz 1.1 to 1.3

    1-4 Page 34-36 #4, 6, 7, 8, 11, 12

    1-1 Page 8-9 #6-66 multiples of 3, 67, 69, 77

    6

    7/29 M

    1-5   Inverse Functions

    1-5  Page 44-47 #2, 4, 8, 9-12, 15-69 multiples of 3, 87, 91, 101-103, 107, 117, 119

    7

    7/30 T

    1-6    Exponential and Logarithmic Functions

    1-6  Page 53-58 #3-102 multiples of 3 (may skip any 5), 107, 109, 127

    8

    7/31 W

    2-1    Concept of Limits, The Tangent Line Problem, The Area Problem

     

    1-7  Practice Quiz 1.1 to 1.3; Page 56-58 #3-45 multiples of 3, 54, 57, 59, 67-70, 75

    9

    8/2 F

     

    1-7    Test Chapter 1

    2-1  Page 67 #1, 2, 4, 6; Page 75 #1, 3, 5, 7, 17, 19, 20, 21, 22

     

    10

    8/5 M

    2-2    Definition of a Limit; Basic Limit Theorems

    2-2  Page 75-78 #1, 2, 5, 7, 17, 19, 21, 23, 25, 26, 27, 29, 31, 39, 41, 47, 64

    11

    8/6 T

    2-3    Properties of Limits, Basic Techniques of Finding Limits

    2-3  Page 87-88 #1-27 odd, 37-53 odd

    12

    8/7 W

    2-3B  Techniques for Finding Limits

    2-3B Page 87-89 #4, 8, 22, 34, 42, 46, 48, 51, 55, 59, 63, 67, 71, 73, 87, 91, 92, 95, 121

    13

    8/9 Fr

     

    2-4  Continuity and One-Sided Limits;

              Quiz #1 Chapter 2

    2-4  Page 99-100 #1-17 odd, 25, 29, 32, 33, 35, 43, 47, 51, 63

    14

    8/12 M

    2-4B Testing for Continuity and the Intermediate Value Theorem

    2-4B  Page 99-101 # 8, 14, 18, 32, 34, 45, 53, 65, 75, 85, 89, 99, 103, 110

    15

    8/13 T

    2-5   Infinite Limits and Vertical Asymptotes

    2-5 Page 108-110 #1, 3, 5, 9, 11, 13, 15, 19, 21, 33, 37, 39, 41, 47, 55, 67

    16

    8/14 W

    2-6    Review Limits; Prepare for Test on Chapter 2

     

               Test Chapter 2  (Part 1)

    2-6   Review Exercises page 111-112 #5-21 odd, 29, 31, 33, 39, 41, 45, 51, 55, 59, 64, 65, 71, 73, 77, 83, 89

    17

    8/16 Fr

     

    2-6B  Test Chapter 2  (Part 2)

    2-6B   AP Review Questions for Chapter 2 – page AP2-1 to AP2-2 #1-10

    18

    8/19 M

    3-1   Definition of the Derivative; Relationship Between a Function and Its Derivative

    3-1   Page 123-125 #1-17 odd, 25, 27, 33

    19

    8/20 T

    3-1B  One-Sided Derivatives, Alternate Definition of the Derivative

    3-1B  Page 123-125 #21, 23, 31, 37, 47, 58, 65, 67, 75, 77, 79, 81, 83, 85, 89

    20

    8/21 W

    3-2   Basic Differentiation Rules

    3-2  Page 135-136 #1-10, 25, 27, 29, 31, 59, 67, 69, 72

    21

    8/23 Fr

     

    3-2B    More Basic Differentiation Rules

                 Quiz 3.1 A

    3-2B Page 135-137 #11-21 odd, 26, 28, 30, 33, 35, 36,  39, 41, 45, 53, 55, 57, 65, 75, 76

    22

    8/26 M

    3-2C   Average Rates of Change, Average Velocity, Instantaneous Rates of Change

    3-2C Page 135-138 #23, 37, 38, 51, 55, 56, 61, 64, 73, 81, 87, 89, 93, 97, 99, 117

    23

    8/27 T

    3-3   Product Rule and Quotient Rule for Derivatives

     

    3-3   Page 146-147 #1-27 odd, 41, 43

    24

    8/28 W

    3-3B   Derivatives of Trigonometric Functions and Higher Order Derivatives

    3-3B  Page 145-149 #31, 33, 37, 45, 51, 53, 57, 66, 69, 75, 79, 97, 99, 101, 111, 113

    25

    8/30 Fr

     

    3-4   Learning Targets, Chain Rule

             Quiz 3.3 A

    3-4  Page 160-161 #1, 2, 4, 5, 7-25 odd, 41-53 odd, 69, 71, 75

    26

    9/3 T

    3-4B   The Chain Rule

    3-4B  Page 160-163 #27, 29, 42, 44, 47-69 odd, 79, 105, 107, 112, 121, 123, 125, 129, 135, 159, 163

    27

    9/4 W

    3-4C   Derivatives of Logarithmic Functions

    3-4C  Page 161-163 #77, 81-95 odd, 99, 101, 109, 110, 113, 127, 137, 139, 141, 145, 149, 165, 172

    28

    9/6 Fr

     

    3-4D   Review of the Rules of Differentiation

             

    3-4D  Page 196-197 #3, 5, 7, 13, 17, 19, 21, 29, 33, 40, 41, 45, 53, 57, 65

    29

    9/9 M

    3-4E   Quiz 3.1 to 3.4

     

    3-4E Page 196-197 #11, 15, 23, 27, 31, 37, 42, 43, 51, 55, 61, 71, 73, 79, 85, 89

    30

    9/10 T

    3-5   Implicit Differentiation

    3-5  Page 171-172 #1-11 odd, 13, 17, 21, 25, 27, 38, 45, 47

    31

    9/11 W

    3-5B   Implicit Differentiation Techniques

                Test 3.1 to 3.4  Part 1

    3-5B  Page 171-173 #15, 19, 23, 27, 31, 39, 48, 53, 55, 59, 65, 67, 85, 89

    32

    9/13 Fr

     

    3-5C   Test 3.1 to 3.4    Part 2

              

    3-5C  Page 196-198 #2, 6, 14, 16, 22, 30, 34, 39, 42, 46, 58, 63, 67, 69, 81, 88, 93, 95, 97, 103

    33

    9/16 M

    3-6   Derivatives of Inverse Functions

    3-6  Page 178 #1-9, 11-14 odd, 19, 20

    34

    9/17 T

    3-6B   Derivatives of Inverse Trigonometric Functions

    3-6B  Worksheet 4.2 Inverse Derivatives  Practice  (Flipped Math) #1-24, 25, 27, 29

    35

    9/18 W

    3-7   Related Rates of Change

    3-7  Page 186-189 #1, 3, 5, 7, 8, 9, 11, 13, 15, 21

    36

    9/20 Fr

     

    3-7B   Related Rates of Change, First FRQ

               Quiz 3.7 to 3.9

    3-7B  Page 186-189 #18, 24, 25, 27, 29, 37, 44; AP Exam Practice #3 -Implicit Differentiation

    37

    9/23 M

    3-9   Review Derivatives Using the Chain Rule and Implicit Differentiation

    3-9  AP Calculus AB Exam Practice #38; Worksheet 6.1 – Implicit Differentiation Practice (Flipped Math)

    38

    9/24 T

    3-9B   Review of Differentiation Techniques

    3-9B  Quiz 6 – Chapter 3   (Practice); Multiple Choice Packet Chapter 3 – Derivatives #1-16

    39

    9/25 W

    3-9C   Test Chapter 3: 3.4 to 3.7 Part I

                Timed – AP Style

    3-9C  Multiple Choice Packet Chapter 3 – Derivatives #1-20

    40

    9/27 Fr

     

    3-9D  Test Chapter 3: 3.4 to 3.7 Part II

                Timed – AP Style 

    5-1  Multiple Choice Packet Chapter 3 – Derivatives

     

     

    Syllabus - Honors PreCalculus:

    Student Name _______________________________                                                                                      period _______

     

    Course Title:     Honors Pre Calculus          Hamilton High School                                                             2019-2020

     

    Instructor:          Mr. Lilley                                    lilley.robert@cusd80.com                                           phone:  883-5095

                                                                    

                                Website:                                        www.mychandlerschools.org

    Textbook: Precalculus 5e (Robert Blitzer)

     

    Supplies:          Pencil, notebook, binder, and graphing calculator (TI 83 or 84 highly recommended)

     

    Course Overview:       This course is designed for the student who has shown above average achievement in a high school, college preparatory curriculum. 

     

    Parent Access:

    “Go to the Hamilton High School website and  click on “Parent Portal”.  At the bottom of the page, click on the “Create your Infinite Campus Parent Portal Account” icon.”

    * Step 1: Enter Your Email Address that you provided to your child's school

    * Step 2: Click Submit

    * Step 3: Open the email from Campus No Reply - campus@smtp2.cusd80.com (You may need to look in your spam or junk folder) and click on the link provided.

    * Step 4: After clicking on the link from the above step, you will enter in a password and then click Create My Account.

    * Step 5: Login to the parent portal with your new account. 

     

    Dual credit/enrollment: Chandler Gilbert Community College offers high school students dual credit.  If a student maintains at least a C average for both semesters and pays the tuition, they will receive college credit for the course which may transfer to a University as math credit or an elective.  Contact the individual schools for more details.

               

    Benefits of Dual Enrollment:  a) College Credit in high school,  b) Textbook included,  c) Transferability, d) Jumpstart to college

     

    Topics covered include:

    1. Linear Relations and Functions
    2. Graphing
    3. Polynomial and Rational Functions
    4. Trigonometric Functions
    5. Graphs of Trigonometric Functions
    6. Trigonometric Identities and Equations
    7. Polar Coordinates and Complex Numbers
    8. Exponential and Logarithmic Functions
    9. Conic Sections
    10. Sequences, Series, Binomial Theorem

     

    Attendance/Homework/Worksheets/Handouts:         

    1. Checked at discretion of the teacher, should be kept and organized in a notebook, binder or folder.
    2. Homework will be worth 5 points each assignment. Assignments are collected each class period and returned the next class. Students should routinely show the work that justifies the answers. Just writing the answers will rarely get you full credit.
    3. Late work will be accepted but appropriate points will be deducted depending on the reasons for the lateness.
    4. Homework is also assigned and graded using Webworks, an on-line system.  These assignments will count the same as a quiz/test grade.

          Address: http://webwork.tuhsd.k12.az.us/webwork2 

           Username is your last name first initial (smithj) and your password is your student ID number

     

    Attendance: It is essential that you come to class each day and that you are on time. Students should be at their seat and ready to go when the bell rings to begin class. When you are absent you should find out what you missed, including copying notes or class work results. You can ask a reliable classmate or check with me. If you miss the day of a test or quiz, you should make these up in a timely manner, usually one or two days. Tardy students will be warned the first two occurrences to arrive on time. After the third tardy a conference between the teacher and the student will take place and missed time will be made up by the tardy student after school.

     

    Absences: Excessive absences will not be tolerated. After the third absence a conference will take place between the absent student and the teacher. After the 4th absence parents will be notified. After the 5th absence a referral will be given and the student’s administrator will be notified. Any student absent 9 times may be dropped from the course.

    Excessive absences will also be reported to Mr. Calvo.

     

    Classroom Rules:

    1. Be prepared every day with all necessary supplies and completed homework. Take care

          of all personal business before coming to class.

    1. Be respectful to yourself, your classmates and your teacher.
    2. Profanity is not allowed.
    3. Follow directions the first time they are given.
    4. During instruction raise your hand and wait to be called upon to speak.
    5. No food or drink (except water) is allowed in the classroom. Please finish and dispose of all food and drink before entering the classroom.

    Follow all school rules. Failure to do so can result in After School Detention and could result in dismissal from class. Make sure you read the student handbook, which can be found online.

     

    Diversity Statement: All individuals have a right to an educational environment free from bias, prejudice and bigotry.  As members of the Hamilton High School educational community, students are expected to refrain from participation in acts of harassment that are designed to demean another student’s race, gender, ethnicity, religious preference, disability or sexual orientation.

     

    Textbook:  You will be given a textbook that you are to take home and leave at home. Use this book to do your homework and to study for tests, quizzes and exams. You must return the textbook to me at the end of the year in the same condition as it was given to you. If you leave the class for any reason you must return the textbook. You are responsible for the cost to replace any textbook.

     

    Grades:          

    1. The scale is 90-A, 80-B, 70-C, 60-D, 59-F.  The semester grade is figured on a 40-40-20 scale.
    2. Chapter tests will be worth up to 100 points, Quizzes are 10-50 points, and webwork is 20-100 points.
    3. Chapter tests are usually taken from homework, webwork and review.

     

    Grading: Your grade in this course will be an approximate average as follows:

     

    *Tests

    50% of Quarter grade

    *Quizzes, Webwork and Projects

    35% of Quarter grade

    * Daily assignments.

    15% of Quarter grade

               

    Extra help:

    1. During the first semester I leave the Hamilton campus at 3:00 pm on Monday and Wednesday to teach at Chandler Gilbert Community College. I am available after school on Tuesdays and Thursdays. I am also available during 6th  period on most days, in room C209 A.
    2. You will be given a Math Department Tutoring schedule. Please take advantage of other teachers that are available after school.
    3. The Husky Room is available every day after school in room C211.

    Electronic Devices: Electronic devices are not to be evident in class. Turn off all cell phones, music devices, etc. and keep them in your bag, out of sight. Electronic devices that I see or hear may be confiscated.

     

    Student Name (print) ____________________________________       Date________

     

    Student Signature _______________________________________

     

    Parent Signature ________________________________ email_________________________ Date _______

     

     

    Student Name _______________________________                                                                  period _______

     

     

    Honors PreCalculus – Topics Covered

     

    1. Prerequisite

    P.4 Polynomials

    P.5 Factoring Polynomials

      

    1. Functions and Graphs

    1.1 Graphs and Graphing Utilities

    1.2 Basics of Functions and Their Graphs

    1.3 More on Functions and Their Graphs

    1.4 Linear Functions and Slope

    1.5 More on Slope

    1.6 Transformations of Functions

    1.7 Combinations of Functions; Composite Functions

    1.8 Inverse Functions

    1.9 Distance and Midpoint Formulas; Circles

     

    1. Polynomial and Rational Functions

    2.1 Complex Numbers

    2.2 Quadratic Functions

    2.3 Polynomial Functions and Their Graphs

    2.4 Dividing Polynomials; Remainder and Factor Theorems

    2.5 Zeros of Polynomial Functions

    2.6 Rational Functions and Their Graphs

    2.7 Polynomial and Rational Inequalities

    2.8 Modeling Using Variation

     

    1. Exponential and Logarithmic Functions

    3.1 Exponential Functions

    3.2 Logarithmic Functions

    3.3 Properties of Logarithms

    3.4 Exponential and Logarithmic Equations

    3.5 Exponential Growth and Decay; Modeling Data

     

    1. Trigonometric Functions

    4.1 Angles and Radian Measure

    4.2 Trigonometric Functions: The Unit Circle

    4.3 Right Triangle Trigonometry

    4.4 Trigonometric Functions of Any Angle

    4.5 Graphs of Sine and Cosine Functions

    4.6 Graphs of Other Trigonometric Functions

    4.7 Inverse Trigonometric Functions

    4.8 Applications of Trigonometric Functions

     

    1. Analytic Trigonometry

    5.1 Verifying Trigonometric Identities

    5.2 Sum and Difference Formulas

    5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas

    5.5 Trigonometric Equations

     

    1. Additional Topics in Trigonometry

    6.1 The Law of Sines

    6.2 The Law of Cosines

    6.3 Polar Coordinates

    6.4 Graphs of Polar Equations

    6.5 Complex Numbers in Polar Form; DeMoivre's Theorem

       

    1. Conic Sections and Analytic Geometry

    9.1 The Ellipse

    9.2 The Hyperbola

    9.3 The Parabola

    9.5 Parametric Equations

      

    1. Sequences, Induction, and Probability

    10.1 Sequences and Summation Notation

    10.2 Arithmetic Sequences

    10.3 Geometric Sequences and Series

    10.5 The Binomial Theorem

     

     

     

    1st   QUARTER- Calendar          

    HONORS PRE-CALCULUS

    2019-2020 SCHOOL YEAR

                                                                                                     (update 7/17/19)

    DAY

    DATE

    TOPIC

    Homework Subject to change

    1

    7/23 T

    P-0 Syllabus, Course Overview

    P-0 Fractions Worksheet

    2

    7/24 W

    P-4     Polynomials – Add, Subtract, Multiply

    P-4 Page 55-57 #9-13 odd, 15-79 every other odd, 83, 91, 107

    3

    7/25 Th

    P-5 Factoring: Common Factor, Grouping, Trinomials

    P-5  Page 68-70 #1-37 odd

    4

    7/26F

    P-5B Factoring: Perfect Square Trinomials, Sum & Difference of Cubes, Grouping

    P-5B Page 68-70 #20-36 even, 41, 43, 47, 53, 55, 65-87 odd, 93-99 odd, 121

    6

    7/29 M

    1-1 Cartesian Coordinate Axis System

    1-1 Page 150-153 #5, 9, 11, 13, 15, 17, 21, 23, 25, 47, 49, 51, 79, 81

    7

    7/30 T

    1-2 Relations and Functions

    1-2 Page 150-153 #29, 31, 33, 41, 43, 45, 57, 59; Page 168-169 #3, 5, 7, 13, 15, 19, 21

    8

    7/31 W

    1-2B Graphing Functions, Vertical Line Test, Domain, Range, Zeros and Intercepts

     

    1-2A Page 168-172 #27, 29, 31, 33, 37, 39, 43, 55, 57, 59, 61, 65, 67, 69, 81, 83, 101

    9

    8/2 F

     

    1-3 Quiz Polynomials, Factoring, Functions

    Increasing, Decreasing, Even, Odd, Max., Min., Piecewise

    1-3 Page 182-187 #9, 11, 13, 17, 21, 23, 29, 31, 33, 37, 39, 55, 59

    10

    8/5 M

    1-3B Functions and Graphs, Piecewise, Greatest Integer, Difference Quotient

    1-3B Page 182-187 #41, 45, 53, 57, 61, 73, 79, 83, 85, 91

    11

    8/6 T

    1-4 Linear Functions and Slope, Point-Slope, Slope-Intercept, Standard, Horizontal and Vertical lines

    1-4 Page 199-202 #1, 7, 11, 17, 21, 23, 27, 31, 37, 43, 45, 49, 51, 59, 63, 71, 79, 85, 89

    12

    8/7 W

    1-5 Parallel & Perpendicular Lines, Rates of Change, Average Velocity, Regression

    1-5 Page 211-214 #1-25 odd

    13

    8/9 F

     

    1-6 Transformations and Graphs, Vertical Shifts, Horizontal Shifts, Reflections; Test 1.1 to 1.5

    1-6 Page 214-215 #1-43, 45

    14

    8/12 M

    1-6B Transformations of Functions, Vertical and Horizontal Stretching and Shrinking

    1-6B Page 227-230 #5, 9, 11, 15, 21, 25, 31, 37, 41, 45, 51, 63, 79, 89, 103, 127a, b

    15

    8/13 T

    1-7 Algebra of Functions, Composite Functions, Decomposing Functions

    1-7 Page 242-245 #5, 7, 11, 17, 25, 27, 31, 35, 47, 51, 61, 67, 83, 85, 87

    16

    8/14 W

    1-7B Review Sections 1-1 to 1-5

             Correct Quiz 1-1 to 1-3

    1-7B Page 284-285 #1-57 odd

    17

    8/16 F

     

    1-8 Inverses of Functions

     

     

    1-8 Page 254-256 #3, 7, 9, 11, 15, 21, 25

     

    18

    8/19 M

    1-8B Horizontal Line Test, One-to-One Functions, Graphing Inverses

    1-8B Page 254-256 #29, 31, 33, 35, 37, 39, 53, 55, 57, 67, 76

    19

    8/20 T

    1-9 Distance Formula, Circle Equation

          

    1-9 Page 264-266 #1, 7, 13, 17, 19, 23, 25, 31, 33, 37, 43, 47, 53, 55, 65

    20

    8/21 W

    1-10 Using Functions to Model Real-Life Situations

             Review Sections 1-6 to 1-10

    1-10 Page 276-280 #1, 5, 7, 9, 15, 19, 21, 25, 31, 36

    21

    8/23 F

     

    1-11  Test 1-6 to 1-8, 1-10

    1-11 Page 289-290 #1-26, 28-33

    22

    8/26 M

    2-1    Add, subtract, multiply and divide complex numbers. Quadratic equations with imaginary roots.

    2-1  Page 298-299 #1-25 odd, 29-37 odd, 41, 43, 45, 47, 49, 51, 55, 59, 71

    23

    8/27 T

    2-2    Graphs of Quadratic functions, vertex formula

    2-2  Page 313-314 #1-13 odd, 17, 19, 23, 25, 27, 29, 33, 39, 41, 45, 47 

    24

    8/28 W

    2-2B    Maximum and minimum values, Applications of Quadratic functions, Problem solving

    2-2B  Page 313-316 #15, 21, 31, 43, 53, 55, 57, 59, 61, 65, 67, 73, 85, 94, 95, 96

    25

    8/30 F

     

    2-3    Graphs, end behaviors and zeros of polynomial functions, Multiplicity

     2-3  Page 330-331 #1-29 odd,

     

    26

    9/3 T

    2-3B    Intermediate Value Theorem, Strategy for graphing polynomial functions

    2-3B  Page 330-333 #20, 26, 30, 33, 35, 39, 41, 43, 47, 51, 55, 57, 59, 63, 73, 75, 95

    27

    9/4 W

    2-4    Long division and synthetic division

    2-4  Page 343-345 #1, 3, 5, 7, 13, 17, 19, 21, 25, 27, 29

    28

    9/6 F

     

    2-4B    Remainder Theorem, Factor Theorem

     

    Quiz 2-1 to 2-3

    2-4B  Page 343-346 #11, 15, 16, 23, 33, 35, 37, 39, 41, 43, 47, 51

    29

    9/9 M

    2-5    Rational Root Theorem 

    2-5  Page 356-359 #3, 5, 7, 9, 11, 15, 17, 19, 21, 25, 27, 29; Page 408 #61, 62

    30

    9/10 T

    2-5B   Fundamental Theorem of Algebra, Linear Factorization Theorem, DesCartes’s Rule Of Signs

    2-5B  Page 357 #33, 35, 41, 47, 73; Page 406-408 Review Exercises #1-67 odd

    31

    9/11 W

    2-5C    Review Sections 2-1 to 2-5

                Test 2-1 to 2-5  Part 1

                 Quiz Corrections 2-1 to 2-3

    2-5C  Page 410-411 Chapter 2 Test #1-12, 19, 20; Page 360 #1-6, 9, 11-13, 15, 17, 19, 25, 27, 29, 31-34

    32

    9/13 F

     

    2-5D    Test 2-1 to 2-5  Part 2

                 Quiz Corrections 2-1 to 2-3

    2-5D  Page 406-408 #2-66 even-may skip 2 problems from each section

    33

    9/16 M

    P-6    Rational Expressions, Simplifying, Multiplying, Dividing, Adding and Subtracting, Complex Rational Expressions, Difference Quotients

    P-6  Page 83-85 #3-21 odd, 27, 29, 30, 35, 39, 41-53 odd, 59, 63, 79, 81, 93

    34

    9/17 T

    2-6    Characteristics of rational functions, vertical asymptotes, horizontal asymptotes

    2-6  Page 377-378 #1, 3, 5, 9-14, 21, 25, 27, 31, 37, 39, 41, 45, 47, 49

    35

    9/18 W

    2-6B    Graphing rational functions, slant asymptotes, distance = velocity x times

                Corrections Test 2-1 to 2-5

    2-6B  Page 378-379 #51, 55, 57, 59, 61, 65, 71, 77, 81, 85, 87, 99, 101

    36

    9/20 F

     

    2-7    Solving polynomial inequalities

             

    2-7  Page 391-392 #1, 3, 5, 9, 13, 15, 19, 21, 27

    37

    9/23 M

    2-7B    Solving rational inequalities

    2-7B  Page 391-392 #29, 31, 35, 43, 45, 47, 53, 57, 59, 76, 77

    38

    9/24 T

    2-8    Polynomial and rational inequalities

    2-8  Page 408-409 #69-91 odd

     

     

    9/25 W

    2-9   Quiz 2.6 & 2.7

     Exponential regression function

    2-9  Page 410-411 Chapter 2 Test #1-25, 27

    40

    9/27 F

     

    2-10   Linear & Exponential  regression functions

    2-10 Page 391 #8, 12, 22, 32, 36, 44, 46, 56, 60, 72: Page 412 Cum Rev. #1-20