AP Calculus AB SUMMER ASSIGNMENT. Dear future Calculus AB student
|
|
- Brandon Hood
- 6 years ago
- Views:
Transcription
1 AP Calculus AB SUMMER ASSIGNMENT Dear future Calculus AB student We are ecited to work with you net year in Calculus AB. In order to help you be prepared for this class, please complete the summer assignment. We would like to recommend that you do this Short Answer Section first. In that packet there are directions and review of the main topics that you need for this packet as well as for the multiple choice packet. Do all work on these packets. Show work to support your answers. These problems are due the first day of class. On the first day of class you will have a short amount of time to ask questions before turning these packets in. Do not epect there to be time in class for ALL questions to be resolved. There will be classwork assignments on the material starting with the third week of school. If you have any questions, please do not hesitate to either of us. Mr. Mossholder: SCMossholder@fcps.edu Mrs. Rigby: SERigby@fcps.edu See you in August! Mr. Mossholder and Mrs. Rigby SHORT ANSWER SECTION Objectives: For objectives # - #5 you should be able to do all without a calculator. Identify functions as even or odd Algebraically Graphically. Know key points and basic shapes of essential graphs f, f, f ln sin, cos f e f f f. Review Trigonometry Evaluate trig values Evaluate inverse trig values Solve trig equations. Understand characteristics of rational epressions (be able to sketch without a calculator) Vertical asymptotes Horizontal asymptotes Zeros Holes 5. Be able to use properties of natural logarithms to solve equations 6. Know your calculator
2 I. Symmetry Even and Odd Functions Quick Review Eample: y Even Function Symmetric about the y ais f ( ) f ( ) for all Eample: y Odd Function Symmetric about the origin (equivalent to a rotation of 80 degrees) f ( ) f ( ) for all To determine algebraically if a function is even, odd, or neither, find f f, f, or neither. Eample: Determine if f is even or odd. and determine if it is equal to f f Therefore, f is an odd function. Determine if the following functions are even, odd, or neither.. f. f 5. f. f
3 II. Essential Graphs For each graph, show two key points (label coordinates) and basic shape of the graph.. f. f. f sin π -π π π - -. f 5. f 6. f cos π -π π π III. Trigonometry Review On each right triangle with a hypotenuse of, label the lengths of the other sides: 5 = radians 90 = radians 0 = radians 60 = radians Make sure you know the following identities: In calculus we always use radians! Never degrees. Pythagorean identities: sin cos Double angle identities: sin sin cos tan sec cos cos sin cot csc
4 . Evaluate the sine, cosine, and tangent of each angle without using a calculator. It is not necessary (ever a) again!) to rationalize the denominator. (ie, an answer of b) 5 does not need to be written ) c) 6 d) e) 5 f) 6. Find two solutions to the inverse trig equations. 0. Draw a triangle, if necessary. Label θ and sides. Determine reference angle. Notice restrictions 5. Place in correct quadrant. a) cos b) cos c) sec d) tan e) cot f) sin. Solve for y. Notice the only difference between question # and # is the domain restrictions #. Inverse trig functions have one answer due to domain restrictions. Note: sin - is the same as arcsin a) y sin b) y cos c) y arc tan d) y csc e) y arccos 0 f) y cot
5 IV. Rational Functions Rational functions are ratios of polynomials: h f g h has a zero when h 0 (which occurs when f 0 and the factor does not cancel) E. h h h Therefore, h 0 when. h has a vertical asymptote when g 0 and the factor that causes g 0 does not cancel E. h h h Therefore, h has a vertical asymptote when. h has a hole (is undefined but the limit eists) when g 0 and the factor that causes g 0 cancels from both f and g. E. h h h Therefore, h has a hole when. Note that h because these two functions do not have the same domain. h has a horizontal asymptote at y consider first the largest eponent of (DNE). If leading coefficient. g has the larger eponent, then a when lim h a g. If f and h or lim h a. To determine lim h f has the larger eponent, then lim h lim 0. If the eponents are the same, consider the E. h Leading coefficients Therefore, lim h and h has a horizontal asymptote at y.
6 Once the basic characteristics of rational epressions are determined, the functions can be sketched without a calculator: E. h Zero at. Vertical Asymptote: Hole when Horizontal Asymptote: y Graph points as needed until you see the shape. For each rational function below: a) Find all zeros b) Write the equations of all vertical asymptotes c) Write the equations of all horizontal asymptotes d) Find the value of any holes e) Sketch the graph (no calculator) showing all characteristics listed (Not all functions will have all characteristics listed above). f. f f. f f 6 6. f
7 V. Properties of Natural Logarithms Recall that y ln and y e (eponential function) are inverse to each other Properties of the Natural Log: AB A B E: ln ln 5 ln 0 ln ln ln ln A ln ln B ln A B 6 E: ln 6 ln ln ln p A pln A E: ln ln and ln ln ln 8 Know these without a calculator: ln e Use the properties of natural logs to solve for., ln e, ln 0, 0 e E: 5 7e e e. 0 5e 7 5 ln e 7 5 ln ln e 7 ln 5 ln 7 ln 5 ln 7 ln 5 ln 7 7 ln 5 ln 5 ln(7) Draw a sketch of each function. Make sure to label the key point and an asymptote.. y 5. y e 6. y e 7. y ln
8 VI Calculator Skills No matter what type of calculator you own, you should be able to do the following problems. Use the inde of the owner s manual of your calculator to look up instructions or ask a classmate how to do each. Evaluations: ) Fractions and more. Be careful to use enough parentheses. a) 6.79 b) ) Logarithms and Eponents a) ln b) log c) ln (e) d) 5 e) e f) 0 f) 8 g) 8 h).0 ) Trigonometry Evaluations. Make sure you watch the mode degree versus radians. a) sin b) sin 5 c) sec d) tan 7.5 in radians & degrees Graphing Skill #: You should be able to graph a function in a viewing window that shows the important features. You should be familiar with the built-in zoom options for setting the window such as zoom-decimal and zoom-standard. You should also be able to set the window conditions to values you choose.. Graph y using the built in zoom-decimal and zoom-standard options. Draw each.
9 . Find the appropriate viewing window to see the intercepts and the verte defined by y 0. Use the window editor to enter the and y values. Window: Xmin = Xma = Xscl = Ymin = Yma = Yscl =. Find the appropriate viewing windows for the following functions: y 0 5 y y y 0 Xmin = Xmin = Xmin = Xmin = Xma = Xma = Xma = Xma = Xscl = Xscl = Xscl = Xscl = Ymin = Ymin = Ymin = Ymin = Yma = Yma = Yma = Yma = Yscl = Yscl = Yscl = Yscl = Graphing Skill #: You should be able to graph a function in a viewing window that shows the -intercepts (also called roots and zeros). You should be able to accurately estimate the -intercepts to decimal places. Use the built-in root or zero command.. Find the -intercepts of y. Window [-.7,.7] [-.,.] (Write intercepts as points) -intercepts:. Find the -intercepts of y. -intercepts:
10 Graphing Skill #: You should be able to graph two functions in a viewing window that shows the intersection points. Sometimes it is impossible to see all points of intersection in the same viewing window. You should be able to accurately estimate the coordinates of the intersection points to decimal places. Use the built-in intersection command.. Find the coordinates of the intersection points for the functions: f( ) g( ) 7. Intersection points:. Find the coordinates of the intersection points of: f ( ) g( ). Intersection points: Graphing Skill #: You should be able to graph a function and estimate the local maimum or minimum values to decimal places. Use the built-in ma/min command.. Find the maimum and minimum values of the function y. (Value means the y-value) Minimum value: Maimum value:. Find the maimum and minimum values of the function y.
11 REVIEW: Do the following problems on your calculator ln e.. sin 8 ) cos.75 in radians and degrees 5) 5 tan 6 6) Find the -intercepts, relative maimum, and relative minimum of y 7) Find the coordinates of the intersection points for the functions g( ) f ( ) 9 and
Summer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationSummer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationDirections: Please read questions carefully. It is recommended that you do the Short Answer Section prior to doing the Multiple Choice.
AP Calculus AB SUMMER ASSIGNMENT Multiple Choice Section Directions: Please read questions carefully It is recommended that you do the Short Answer Section prior to doing the Multiple Choice Show all work
More informationAP Calculus AB Summer Assignment. Due Date: First day of school.
AP Calculus AB Summer Assignment Name: Due Date: First day of school. The purpose of this assignment is to have you practice the mathematical skills necessary to be successful in Calculus AB. All of the
More informationAP Calculus I Summer Packet
AP Calculus I Summer Packet This will be your first grade of AP Calculus and due on the first day of class. Please turn in ALL of your work and the attached completed answer sheet. I. Intercepts The -intercept
More informationTroy High School AP Calculus Summer Packet
Troy High School AP Calculus Summer Packet As instructors of AP Calculus, we have etremely high epectations of students taking our courses. We epect a certain level of independence to be demonstrated by
More informationAP Calculus AB Summer Assignment
Name: AP Calculus AB Summer Assignment Due Date: The beginning of class on the last class day of the first week of school. The purpose of this assignment is to have you practice the mathematical skills
More informationSummer Review Packet for Students Entering AP Calculus BC. Complex Fractions
Summer Review Packet for Students Entering AP Calculus BC Comple Fractions When simplifying comple fractions, multiply by a fraction equal to 1 which has a numerator and denominator composed of the common
More informationWest Essex Regional School District. AP Calculus AB. Summer Packet
West Esse Regional School District AP Calculus AB Summer Packet 05-06 Calculus AB Calculus AB covers the equivalent of a one semester college calculus course. Our focus will be on differential and integral
More informationSummer Assignment for AP Calculus AB
This assignment is a review of Pre-calculus and Algebraic concepts that you need to be familiar with in order to make a smooth transition into AP Calculus AB. It will be due when you return to school on
More informationAvon High School Name AP Calculus AB Summer Review Packet Score Period
Avon High School Name AP Calculus AB Summer Review Packet Score Period f 4, find:.) If a.) f 4 f 4 b.) Topic A: Functions f c.) f h f h 4 V r r a.) V 4.) If, find: b.) V r V r c.) V r V r.) If f and g
More information2017 AP Calculus AB Summer Assignment
07 AP Calculus AB Summer Assignment Mrs. Peck ( kapeck@spotsylvania.k.va.us) This assignment is designed to help prepare you to start Calculus on day and be successful. I recommend that you take off the
More informationA.P. Calculus Summer Assignment
A.P. Calculus Summer Assignment This assignment is due the first day of class at the beginning of the class. It will be graded and counts as your first test grade. This packet contains eight sections and
More informationUnit 10 Prerequisites for Next Year (Calculus)
Unit 0 Prerequisites for Net Year (Calculus) The following Study Guide is the required INDEPENDENT review for you to work through for your final unit. You WILL have a test that covers this material after
More informationAP Calculus AB Mrs. Mills Carlmont High School
AP Calculus AB 015-016 Mrs. Mills Carlmont High School AP CALCULUS AB SUMMER ASSIGNMENT NAME: READ THE FOLLOWING DIRECTIONS CAREFULLY! Read through the notes & eamples for each page and then solve all
More informationCalculus Summer Packet
Calculus Summer Packet Congratulations on reaching this level of mathematics in high school. I know some or all of you are bummed out about having to do a summer math packet; but keep this in mind: we
More informationMassey Hill Classical High School
Massey Hill Classical High School AB Calculus AP Prerequisite Packet To: From: AP Calculus AB Students and Parents Carolyn Davis, AP Calculus Instructor The AP Course: AP Calculus AB is a college level
More information* A graphing calculator is highly recommended for this class!!!
AP Calculus AB Summer Packet 08-09 Ms. Febus - García marlene_febus@gwinnett.k.ga.us This packet includes a sampling of problems that students entering AP Calculus AB should be able to answer. The questions
More informationAP CALCULUS AB,...) of Topical Understandings ~
Name: Precalculus Teacher: AP CALCULUS AB ~ (Σer) ( Force Distance) and ( L, L,...) of Topical Understandings ~ As instructors of AP Calculus, we have etremely high epectations of students taking our courses.
More informationAdvanced Calculus Summer Packet
Advanced Calculus Summer Packet PLEASE DO ALL YOUR WORK ON LOOSELEAF PAPER! KEEP ALL WORK ORGANIZED This packet includes a sampling of problems that students entering Advanced Calculus should be able to
More informationARE YOU READY FOR CALCULUS?
ARE YOU READY FOR CALCULUS? Congratulations! You made it to Calculus AB! Instructions 1. Please complete the packet (see below), which will be due the day of registration. This packet will help you review
More informationCalculus Summer TUTORIAL
Calculus Summer TUTORIAL The purpose of this tutorial is to have you practice the mathematical skills necessary to be successful in Calculus. All of the skills covered in this tutorial are from Pre-Calculus,
More informationAP Calculus BC Summer Review
AP Calculus BC 07-08 Summer Review Due September, 07 Name: All students entering AP Calculus BC are epected to be proficient in Pre-Calculus skills. To enhance your chances for success in this class, it
More informationFox Lane High School Department of Mathematics
Fo Lane High School Department of Mathematics June 08 Hello Future AP Calculus AB Student! This is the summer assignment for all students taking AP Calculus AB net school year. It contains a set of problems
More informationMath 121: Calculus 1 - Fall 2013/2014 Review of Precalculus Concepts
Introduction Math 121: Calculus 1 - Fall 201/2014 Review of Precalculus Concepts Welcome to Math 121 - Calculus 1, Fall 201/2014! This problems in this packet are designed to help you review the topics
More informationSummer Packet Honors PreCalculus
Summer Packet Honors PreCalculus Honors Pre-Calculus is a demanding course that relies heavily upon a student s algebra, geometry, and trigonometry skills. You are epected to know these topics before entering
More informationTRIG REVIEW NOTES. Co-terminal Angles: Angles that end at the same spot. (sines, cosines, and tangents will equal)
TRIG REVIEW NOTES Convert from radians to degrees: multiply by 0 180 Convert from degrees to radians: multiply by 0. 180 Co-terminal Angles: Angles that end at the same spot. (sines, cosines, and tangents
More informationC. Finding roots of trinomials: 1st Example: x 2 5x = 14 x 2 5x 14 = 0 (x 7)(x + 2) = 0 Answer: x = 7 or x = -2
AP Calculus Students: Welcome to AP Calculus. Class begins in approimately - months. In this packet, you will find numerous topics that were covered in your Algebra and Pre-Calculus courses. These are
More informationName Date. Show all work! Exact answers only unless the problem asks for an approximation.
Advanced Calculus & AP Calculus AB Summer Assignment Name Date Show all work! Eact answers only unless the problem asks for an approimation. These are important topics from previous courses that you must
More informationSANDY CREEK HIGH SCHOOL
SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS AB I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You should
More informationMath 121: Calculus 1 - Winter 2012/2013 Review of Precalculus Concepts
Introduction Math 11: Calculus 1 - Winter 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Winter 01/01! This problems in this packet are designed to help you review the topics from
More informationAP Calculus AB Summer Assignment
AP Calculus AB 07-08 Summer Assignment Welcome to AP Calculus AB! You are epected to complete the attached homework assignment during the summer. This is because of class time constraints and the amount
More informationMath 121: Calculus 1 - Fall 2012/2013 Review of Precalculus Concepts
Introduction Math 11: Calculus 1 - Fall 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Fall 01/01! This problems in this packet are designed to help you review the topics from Algebra
More informationSANDY CREEK HIGH SCHOOL
SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS BC I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You will also
More informationA.P. Calculus Summer Packet
A.P. Calculus Summer Packet Going into AP calculus, there are certain skills that have been taught to you over the previous years that we assume you have. If you do not have these skills, you will find
More informationAlbertson AP Calculus AB AP CALCULUS AB SUMMER PACKET DUE DATE: The beginning of class on the last class day of the first week of school.
Albertson AP Calculus AB Name AP CALCULUS AB SUMMER PACKET 2015 DUE DATE: The beginning of class on the last class day of the first week of school. This assignment is to be done at you leisure during the
More informationAP Calculus Summer is Long Enough Worksheet
AP Calculus Summer is Long Enough Worksheet There are certain skills that have been taught to you over the previous years that are essential towards your success in AP Calculus. If you do not have these
More informationHonors Calculus Summer Preparation 2018
Honors Calculus Summer Preparation 08 Name: ARCHBISHOP CURLEY HIGH SCHOOL Honors Calculus Summer Preparation 08 Honors Calculus Summer Work and List of Topical Understandings In order to be a successful
More informationSummer 2017 Review For Students Entering AP Calculus AB/BC
Summer 2017 Review For Students Entering AP Calculus AB/BC Holy Name High School AP Calculus Summer Homework 1 A.M.D.G. AP Calculus AB Summer Review Packet Holy Name High School Welcome to AP Calculus
More informationAP Calculus AB Summer Assignment School Year
AP Calculus AB Summer Assignment School Year 018-019 Objective of the summer assignment: The AP Calculus summer assignment is designed to serve as a review for many of the prerequisite math skills required
More informationCalculus 1 (AP, Honors, Academic) Summer Assignment 2018
Calculus (AP, Honors, Academic) Summer Assignment 08 The summer assignments for Calculus will reinforce some necessary Algebra and Precalculus skills. In order to be successful in Calculus, you must have
More informationAP Calculus Summer Prep
AP Calculus Summer Prep Topics from Algebra and Pre-Calculus (Solutions are on the Answer Key on the Last Pages) The purpose of this packet is to give you a review of basic skills. You are asked to have
More informationHello Future Calculus Level One Student,
Hello Future Calculus Level One Student, This assignment must be completed and handed in on the first day of class. This assignment will serve as the main review for a test on this material. The test will
More informationIB Mathematics HL 1/AP Calculus AB Summer Packet
IB Mathematics HL /AP Calculus AB Summer Packet There are certain skills that have been taught to you over the previous years that are essential towards your success in IB HL /AP Calculus. If you do not
More informationCALCULUS BASIC SUMMER REVIEW
NAME CALCULUS BASIC SUMMER REVIEW Slope of a non vertical line: rise y y y m run Point Slope Equation: y y m( ) The slope is m and a point on your line is, ). ( y Slope-Intercept Equation: y m b slope=
More informationSANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET
SANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET 017-018 Name: 1. This packet is to be handed in on Monday August 8, 017.. All work must be shown on separate paper attached to the packet. 3.
More informationAP Calculus AB Summer Assignment 2018
AP Calculus AB Summer Assignment 018 Name: Date Submitted: Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers, but the benefit you will receive by having this eperience
More informationAP Calculus AB Summer Assignment
AP Calculus AB Summer Assignment Name: When you come back to school, you will be epected to have attempted every problem. These skills are all different tools that you will pull out of your toolbo this
More informationAP CALCULUS AB - SUMMER ASSIGNMENT 2018
Name AP CALCULUS AB - SUMMER ASSIGNMENT 08 This packet is designed to help you review and build upon some of the important mathematical concepts and skills that you have learned in your previous mathematics
More informationDuVal High School Summer Review Packet AP Calculus
DuVal High School Summer Review Packet AP Calculus Welcome to AP Calculus AB. This packet contains background skills you need to know for your AP Calculus. My suggestion is, you read the information and
More informationAP Calculus AB Summer Math Packet
Name Date Section AP Calculus AB Summer Math Packet This assignment is to be done at you leisure during the summer. It is meant to help you practice mathematical skills necessary to be successful in Calculus
More informationPACKET Unit 4 Honors ICM Functions and Limits 1
PACKET Unit 4 Honors ICM Functions and Limits 1 Day 1 Homework For each of the rational functions find: a. domain b. -intercept(s) c. y-intercept Graph #8 and #10 with at least 5 EXACT points. 1. f 6.
More informationAP CALCULUS AB. Summer Assignment. Page 1
AP CALCULUS AB Summer Assignment Page 1 Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers but the benefit you will receive by having this experience in high school
More informationAP Calculus Summer Assignment Summer 2017 Expectations for Summer Assignment on the first day of the school year.
Summer 07 Expectations for Summer Assignment This packet is to be submitted to your Calculus BC teacher on the first day of the school year. All work must be shown in the packet OR on separate paper attached
More informationProblems with an # after the number are the only ones that a calculator is required for in the solving process.
Instructions: Make sure all problems are numbered in order. (Level : If the problem had an *please skip that number) All work is in pencil, and is shown completely. Graphs are drawn out by hand. If you
More informationWith topics from Algebra and Pre-Calculus to
With topics from Algebra and Pre-Calculus to get you ready to the AP! (Key contains solved problems) Note: The purpose of this packet is to give you a review of basic skills. You are asked not to use the
More informationFalls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus BC Teacher Name/s: Marla Schnall Assignment Title: AP Calculus BC Summer Packet Assignment Summary/Purpose: The material in
More informationCalculus Summer Assignment
Calculus Summer Assignment This review packet covers material that will be given on a test to AP Calculus students during the first week of class. A topic list is below, followed by a written assignment.
More informationAP Calculus BC Summer Packet Welcome! L Logarithms and Exponential Functions R Rational Expressions and Equations
AP Calculus BC Summer Packet 06 Welcome! This packet includes a sampling of problems that students entering AP Calculus BC should be able to answer. The questions are organized by topic: A Basic Algebra
More informationAP CALCULUS BC SUMMER ASSIGNMENT
AP CALCULUS BC SUMMER ASSIGNMENT Dear BC Calculus Student, Congratulations on your wisdom in taking the BC course! We know you will find it rewarding and a great way to spend your junior/senior year. This
More informationAP Calculus AB Summer Review Packet
AP Calculus AB Summer Review Packet 016-017 Mr. Le jtle1@gmail.com Leuzinger High School Rm. G-0 The following packet is designed to help you review topics that are important to your SUCCESS in AP Calculus.
More informationFeedback D. Incorrect! Exponential functions are continuous everywhere. Look for features like square roots or denominators that could be made 0.
Calculus Problem Solving Drill 07: Trigonometric Limits and Continuity No. of 0 Instruction: () Read the problem statement and answer choices carefully. () Do your work on a separate sheet of paper. (3)
More informationHonors Pre-Calculus Summer Work
Honors Pre-Calculus Summer Work Attached you will find a variety of review work based on the prerequisites needed for the Honors Pre-Calculus curriculum. The problems assigned should be the minimum you
More informationA.P. Calculus Summer Packet
A.P. Calculus Summer Packet Going into AP calculus, there are certain skills that have been taught to you over the previous years that we assume you have. If you do not have these skills, you will find
More informationSummer Review Packet AP Calculus
Summer Review Packet AP Calculus ************************************************************************ Directions for this packet: On a separate sheet of paper, show your work for each problem in this
More informationAP Calculus BC Prerequisite Knowledge
AP Calculus BC Prerequisite Knowledge Please review these ideas over the summer as they come up during our class and we will not be reviewing them during class. Also, I feel free to quiz you at any time
More informationMcKinney High School AP Calculus Summer Packet
McKinne High School AP Calculus Summer Packet (for students entering AP Calculus AB or AP Calculus BC) Name:. This packet is to be handed in to our Calculus teacher the first week of school.. ALL work
More informationCalculus Summer Packet
Calculus Summer Packet There are certain skills that have been taught to you over the previous years that are essential towards your success in Calculus. This summer packet is intended for you to retain/review/relearn
More informationAP Calculus Summer Homework Worksheet Instructions
Honors AP Calculus BC Thrill-a-Minute Summer Opportunity 018 Name Favorite Pre-Calculus Topic Your summer assignment is to have the review packet (a review of Algebra / Trig. and Pre-Calculus), Chapter
More informationWheeler High School AP Calculus AB first day of school, August 7, Honors Calculus
Wheeler High School To: From: Re: Honors Calculus and AP Calculus AB Students Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Summer work AP Calculus AB and Honors Calculus
More informationCalculus Summer Work
Calculus Summer Work About This Packet ( and this class) Welcome! This packet includes a sampling of problems that students entering AP Calculus should be able to answer. The questions are organized by
More informationLawrence High School s AP Calculus AB 2018 Summer Assignment
s AP Calculus AB 2018 Summer Assignment To incoming AP Calculus AB students, To be best prepared for your AP Calculus AB course, you will complete this summer review assignment, which you will submit on
More informationWelcome to AP Calculus!!!
Welcome to AP Calculus!!! In preparation for next year, you need to complete this summer packet. This packet reviews & expands upon the concepts you studied in Algebra II and Pre-calculus. Make sure you
More informationProblems with an # after the number are the only ones that a calculator is required for in the solving process.
Instructions: Make sure all problems are numbered in order. All work is in pencil, and is shown completely. Graphs are drawn out by hand. If you use your calculator for some steps, intermediate work should
More informationA: Super-Basic Algebra Skills. A1. True or false. If false, change what is underlined to make the statement true. a.
A: Super-Basic Algebra Skills A1. True or false. If false, change what is underlined to make the statement true. 1 T F 1 b. T F c. ( + ) = + 9 T F 1 1 T F e. ( + 1) = 16( + ) T F f. 5 T F g. If ( + )(
More informationAP Calculus AB Summer Assignment
AP Calculus AB Summer Assignment Name: When you come back to school, it is my epectation that you will have this packet completed. You will be way behind at the beginning of the year if you haven t attempted
More informationAlgebra/Trigonometry Review Notes
Algebra/Trigonometry Review Notes MAC 41 Calculus for Life Sciences Instructor: Brooke Quinlan Hillsborough Community College ALGEBRA REVIEW FOR CALCULUS 1 TOPIC 1: POLYNOMIAL BASICS, POLYNOMIAL END BEHAVIOR,
More informationA BRIEF REVIEW OF ALGEBRA AND TRIGONOMETRY
A BRIEF REVIEW OF ALGEBRA AND TRIGONOMETR Some Key Concepts:. The slope and the equation of a straight line. Functions and functional notation. The average rate of change of a function and the DIFFERENCE-
More informationAlgebra/Pre-calc Review
Algebra/Pre-calc Review The following pages contain various algebra and pre-calculus topics that are used in the stud of calculus. These pages were designed so that students can refresh their knowledge
More informationSummer Mathematics Prep
Summer Mathematics Prep Entering Calculus Chesterfield County Public Schools Department of Mathematics SOLUTIONS Domain and Range Domain: All Real Numbers Range: {y: y } Domain: { : } Range:{ y : y 0}
More informationAP Calculus BC Summer Assignment 2018
AP Calculus BC Summer Assignment 018 Name: When you come back to school, I will epect you to have attempted every problem. These skills are all different tools that we will pull out of our toolbo at different
More informationAP CALCULUS AB - Name: Summer Work requirement due on the first day of class
AP CALCULUS AB - Name: Summer Work For students to successfully complete the objectives of the AP Calculus curriculum, the student must demonstrate a high level of independence, capability, dedication,
More informationWelcome to AP Calculus AB!
Welcome to AP Calculus AB! This packet includes a sampling of problems that students entering AP Calculus should be able to answer. The questions are organized by topic: A Super-Basic Algebra Skills T
More informationAP Calculus Summer Packet
AP Calculus Summer Packet Going into AP Calculus, there are certain skills that have been taught to you over the previous tears that we assume you have. If you do not have these skills, you will find that
More information( ) - 4(x -3) ( ) 3 (2x -3) - (2x +12) ( x -1) 2 x -1) 2 (3x -1) - 2(x -1) Section 1: Algebra Review. Welcome to AP Calculus!
Welcome to AP Calculus! Successful Calculus students must have a strong foundation in algebra and trigonometry. The following packet was designed to help you review your algebra skills in preparation for
More informationAP Calculus Summer Packet
AP Calculus Summer Packet Writing The Equation Of A Line Example: Find the equation of a line that passes through ( 1, 2) and (5, 7). ü Things to remember: Slope formula, point-slope form, slopeintercept
More informationAP Calculus AB Summer Assignment 2016
AP Calculus AB Name Dates: Start Finish AP Calculus AB Summer Assignment 016 Welcome to AP Calculus AB. This packet is a review of Advanced Algebra & Pre-Calculus topics that you will use continuously
More informationA.P. Calculus Summer Work 2014
Instructions for AP Calculus AB summer work. Before leaving school this year (due Friday, May 30, 014): A.P. Calculus Summer Work 014 1. Log onto your school email account and send me an email message
More informationCalculus w/applications Prerequisite Packet Paint Branch High School Math Department
Updated 6/014 The problems in this packet are designed to help you review topics from previous math courses that are important to your success in Calculus with Applications. It is important that you take
More informationWheeler High School. The packets are due to your instructor on your first day of class.
Wheeler High School To: Honors Calculus and AP Calculus AB Students From: Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Re: Summer work Honors Calculus and AP Calculus AB
More informationWest Potomac High School 6500 Quander Road Alexandria, VA 22307
West Potomac High School 6500 Quander Road Aleandria, VA 307 Dear AP Calculus BC Student, Welcome to AP Calculus! This course is primarily concerned with developing your understanding of the concepts of
More informationCore Mathematics 3 A2 compulsory unit for GCE Mathematics and GCE Pure Mathematics Mathematics. Unit C3. C3.1 Unit description
Unit C3 Core Mathematics 3 A2 compulsory unit for GCE Mathematics and GCE Pure Mathematics Mathematics C3. Unit description Algebra and functions; trigonometry; eponentials and logarithms; differentiation;
More informationWarmup for AP Calculus BC
Nichols School Mathematics Department Summer Work Packet Warmup for AP Calculus BC Who should complete this packet? Students who have completed Advanced Functions or and will be taking AP Calculus BC in
More informationAP Calculus (AB/BC) Prerequisite Packet Paint Branch High School Math Department
Updated 6/015 The problems in this packet are designed to help ou review topics from previous math courses that are important to our success in AP Calculus AB / BC. It is important that ou take time during
More informationCoach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers
Coach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers CLASSIFICATIONS OF NUMBERS NATURAL NUMBERS = N = {1,2,3,4,...}
More informationWelcome to AP Calculus!
Welcome to AP Calculus! This packet is meant to help you review some of the mathematics that lead up to calculus. Of course, all mathematics up until this point has simply been a build-up to calculus,
More informationInverse Relations. 5 are inverses because their input and output are switched. For instance: f x x. x 5. f 4
Inverse Functions Inverse Relations The inverse of a relation is the set of ordered pairs obtained by switching the input with the output of each ordered pair in the original relation. (The domain of the
More informationAP Calculus Summer Assignment Summer 2017 Expectations for Summer Assignment on the first day of the school year.
Welcome to AP Calculus!!! For you to be successful in the fall when you come back to school you will need to complete this summer homework assignment. This will be worth grades when you get back to class
More informationAB Calculus 2013 Summer Assignment. Theme 1: Linear Functions
01 Summer Assignment Theme 1: Linear Functions 1. Write the equation for the line through the point P(, -1) that is perpendicular to the line 5y = 7. (A) + 5y = -1 (B) 5 y = 8 (C) 5 y = 1 (D) 5 + y = 7
More information1) Find the equations of lines (in point-slope form) passing through (-1,4) having the given characteristics:
AP Calculus AB Summer Worksheet Name 10 This worksheet is due at the beginning of class on the first day of school. It will be graded on accuracy. You must show all work to earn credit. You may work together
More information