Mathematics Scope & Sequence Calculus AB
|
|
- Horace Lionel Pearson
- 5 years ago
- Views:
Transcription
1 Mathematics Scope & Sequence Calculus AB Revised: March 2015 First Six Weeks (29 ) Limits and Continuity Limits of (including onesided limits) An intuitive understanding of the limiting process Calculating limits using algebra Estimating limits from graphs or tables of data Asymptotic and unbounded behavior Understanding asymptotes in terms of graphical behavior Describing asymptotic behavior in terms of limits involving infinity Comparing relative magnitudes of and their rates of change (for example, contrasting exponential growth, polynomial growth, and logarithmic growth) Continuity as a property of An intuitive understanding of continuity. (The function values can be made as close as desired by taking sufficiently close values of the domain.) Understanding continuity in terms of limits Geometric understanding of graphs of continuous (Intermediate Value Theorem). Evaluate limits using correct limit notation Evaluate limits using direct substitution, factoring, conjugate, LCD Know special limits of sine and cosine such as sin x x limx 0 = limx 0 = 1 x sin x, 1 cos x cos x 1 limx 0 = limx 0 = 0 x x Squeeze theorem Explore limits using technology Estimating limits from tables of data Explore limits at infinity algebraically, graphically, or from a table Evaluate limits as you approach both positive and negative infinity for horizontal asymptotes Evaluate limits include limits that do not exist Explore continuity graphically Prove a function is continuous using the three components of continuity to (limit must exist, function must exist and limit = function) Define type of discontinuity ( removable, non-removable) Demonstrate geometric understanding of graphs of continuous with the Intermediate Value Theorem (reminder is works for continuous only) 13 Textbook Sections: 2.2,2.3,2.4,2.5,4.5 First six weeks curriculum continued on next page.
2 Derivative, Tangent Line, Differentiability Concept of the derivative Derivative presented graphically, numerically, and analytically Derivative defined as the limit of the difference quotient Derivative interpreted as an instantaneous rate of change Relationship between differentiability and continuity Derivative at a point Slope of a curve at a point. Examples are emphasized, including points at which there are vertical tangents and points at which there are no tangents Tangent line to a curve at a point and local linear approximation Instantaneous rate of change as the limit of average rate of change Approximate rate of change from graphs and tables of values Represent derivatives graphically, numerically, and analytically Explore local linearity graphically Compare secant to tangent lines Define the derivative as the limit of the difference quotient; also define the derivative using the alternate form of the derivative Investigate slope of a curve at a point. Emphasize examples are emphasized, including points at which there are vertical tangents and points at which there are no tangents Describe three situations when a function is not differentiable (Sharp points, vertical tangent line, discontinuities) Interpret derivatives as an instantaneous rate of change Describe the relationship between differentiability and continuity Explore a tangent line to a curve at a point and local linear approximation (differentials) Define the instantaneous rate of change as the limit of average rate of change Approximate rate of change from graphs and tables of values 10 Textbook Sections: 3.1 Derivative Rules (Part 1) Computation of derivatives Knowledge of derivatives of basic, including power, exponential, logarithmic, trigonometric, and inverse trigonometric Derivative rules for sums, products, and quotients of Apply rules to evaluate derivatives of basic, including power, exponential, trigonometric. Apply rules to evaluate derivatives including sums, products, and quotients of Apply derivative rules to evaluate derivatives from numerical examples using tables 6 Textbook Sections: 3.2, 3.3
3 Second Six Weeks (24 ) Derivative Rules (Part 2) Computation of derivatives Chain rule and implicit differentiation Knowledge of derivatives of basic, including power, exponential, logarithmic, trigonometric, and inverse trigonometric Apply rules to evaluate derivatives of ln Apply chain rule to evaluate derivatives including numerical examples from tables Textbook Sections: 3.4 Implicit Differentiation Computation of derivatives Knowledge of derivatives of basic, including power, exponential, logarithmic, trigonometric, and inverse trigonometric Chain rule and implicit differentiation Use of implicit differentiation to find the derivative of an inverse function Differentiate implicitly Differentiate logarithmically Inverse Functions and Inverse Trig Functions Textbook Sections: 3.5 Computation of derivatives Knowledge of derivatives of basic, including power, exponential, logarithmic, trigonometric, and inverse trigonometric Use of implicit differentiation to find the derivative of an inverse function Textbook Sections: 3.6 Apply rules to evaluate derivatives of inverse trigonometric Evaluate the derivative of an inverse function 6
4 Related Rates Modeling rates of change, including related rates problems Textbook Sections: 3. Third Six Weeks (25 ) Model rates of change, including related rates problems First and Second Derivative Tests Derivative as a function Corresponding characteristics of graphs of f and f Relationship between the increasing and decreasing behavior of f and the sign of f The Mean Value Theorem and its geometric interpretation Equations involving derivatives. Verbal descriptions are translated into equations involving derivatives and vice versa Second derivatives Corresponding characteristics of the graphs of f, f, and f Relationship between the concavity of f and the sign of f Points of inflection as places where concavity changes Determine absolute max and min of a function by the Candidates test Extreme Value Theorem Investigate corresponding characteristics of graphs of f and f Find local extrema using the first derivative line test Create sign chart for organization of thoughts, must include sentence for proper justification. Investigate the relationship between the increasing and decreasing behavior of f and the sign of f Describe monotonic behavior Mean Value Theorem Write equations involving derivatives. Translate verbal descriptions into equations involving derivatives and vice versa Investigate corresponding characteristics of the graphs of f, f, and f Investigate the relationship between the concavity of f and the sign of f Define points of inflection as places where concavity changes Identify local extrema using the second derivative test 10 Textbook Sections: 4.1, 4.2, 4.3, 4.4 L Hopitals and Straight Line Interpretation of the derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration Interpret the derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration L Hopital s Rule 5 Textbook Sections: 8., 3.2
5 Fourth Six Weeks (32 ) Optimization Optimization, both absolute (global) and relative (local) extrema Model applications involving optimization 6 Textbook Sections: : 4. Anti-Derivatives and Riemann Sums Interpretations and properties of definite integrals Definite integral as a limit of Riemann sums Basic Properties of definite integrals (examples include additivity and linearity) Techniques of antidifferentiation Antiderivatives following directly from derivatives of basic Applications of antidifferentiation Finding specific antiderivatives using initial conditions, including applications to motion along a line Connect integration to graph and area under the curve. Approximate definite integrals of represented algebraically, graphically, and by tables of values using Riemann sums (using left, right, and midpoint evaluation points) and trapezoidal sums Define the definite integral as a limit of Riemann sums Apply basic properties of definite integrals (examples include additivity and linearity) Recognize antiderivatives follow directly from derivatives of basic (definite and indefinite integration) Apply basic rules to evaluate integrals including x power rule, e, and basic trig Find specific antiderivatives using initial conditions, including applications to motion along a line 10 Textbook Sections: 5.1, 5.2, 5.3 Fourth six weeks curriculum continued on next page.
6 Fundamental Theorem of Calculus Interpretations and properties of definite integrals Definite integral as the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval: bb ff (xx)dddd = ff(bb) ff(aa) aa Fundamental Theorem of Calculus Use of the Fundamental Theorem to evaluate definite integrals. Use of the Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of so defined. Second Fundamental Theorem Applications of antidifferentiation Definite definite integral as the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval: bb ff (xx)dddd = ff(bb) ff(aa) aa Evaluate definite integrals using the Fundamental Theorem Use of the Fundamental Theorem to represent a particular antiderivative, and the analytical and graphical analysis of so defined. Second Fundamental Theorem of Calculus (derivative of an integral) Accumulated change from a rate of change. Integral defined Find specific antiderivatives using initial conditions, including applications to motion along a line. Calculate displacement and total distance traveled by a particle along a line Finding specific antiderivatives using initial conditions, including applications to motion along a line Textbook Sections: 5.4 Advanced Methods of Integration Techniques of antidifferentiation Antiderivatives following directly from derivatives of basic Antiderivatives by substitution of variables (including change of limits for definite integrals) Textbook Sections: 5.5, 5.6, 5. Apply basic rules to evaluate integrals including integration of logs, remaining trig, and inverse trig. Integrate by substitution of variables (including change of limits for definite integrals) 9
7 Slope Fields and Separation of Variables Applications of antidifferentiation Solving separable differential equations and using them in modeling (including the study of the equation yy = kkkk and exponential growth) Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations Textbook Sections: 6.1, 6.2, 6.3 Fifth Six Weeks (34 ) Solve separable differential equations and use them in modeling (include the study of the equation yy = kkkk and exponential growth) Interpret differential equations geometrically via slope fields and indentify the relationship between slope fields and solution curves for differential equations 8 Area and Volume Applications of integrals Area between two curves Volumes of revolution Find area between two curves Find volumes of revolution using disk/washer method Textbook Sections:.1,.2 Volume by Cross Sections Applications of integrals Volumes of a solid with a known cross section Find volumes of a solid with a known cross section 4 Textbook Sections:.2 AP Review AP Review AP Review 15 Textbook Sections: Released AP Questions
8 Sixth Six Weeks (33 ) AP Review AP Review AP Review 14 Textbook Sections: Released AP Questions After the AP Test Topics Shell Method Arc Length Integration by Parts Advanced Trig Integration Trig Substitution Partial Fractions Newton s Method Teachers may choose topics based on time in class 10 Textbook Sections:.3,.4, 8.2, 8.3, 8.4, 8.5, 3.8
Standards for AP Calculus AB
I. Functions, Graphs and Limits Standards for AP Calculus AB A. Analysis of graphs. With the aid of technology, graphs of functions are often easy to produce. The emphasis is on the interplay between the
More informationAP Calculus BC Scope & Sequence
AP Calculus BC Scope & Sequence Grading Period Unit Title Learning Targets Throughout the School Year First Grading Period *Apply mathematics to problems in everyday life *Use a problem-solving model that
More informationAdvanced Placement Calculus I - What Your Child Will Learn
Advanced Placement Calculus I - What Your Child Will Learn I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology, graphs of functions are often easy to produce. The emphasis
More informationPrentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007
Prentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007 C O R R E L A T E D T O AP Calculus AB Standards I Functions, Graphs, and Limits Analysis of graphs. With the aid of
More informationB L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC
B L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC Weeks ORGANIZING THEME/TOPIC CONTENT CHAPTER REFERENCE FOCUS STANDARDS & SKILLS Analysis of graphs.
More informationCorrelation with College Board Advanced Placement Course Descriptions
Correlation with College Board Advanced Placement Course Descriptions The following tables show which sections of Calculus: Concepts and Applications cover each of the topics listed in the 2004 2005 Course
More informationAP Calculus BC. Functions, Graphs, and Limits
AP Calculus BC The Calculus courses are the Advanced Placement topical outlines and prepare students for a successful performance on both the Advanced Placement Calculus exam and their college calculus
More informationGreenwich Public Schools Mathematics Curriculum Objectives. Calculus
Mathematics Curriculum Objectives Calculus June 30, 2006 NUMERICAL AND PROPORTIONAL REASONING Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify
More informationGrading System 50% Tests and Projects, 50% Homework and Class Participation
AP Calculus (AB) Grades Recommended: 11, 12 Course Code: MA 590, Ma 591 Prerequisites: MA321, MA521 Length of course: one year Description The student will study all of the topics required for the Advanced
More informationAdvanced Placement Calculus II- What Your Child Will Learn
Advanced Placement Calculus II- What Your Child Will Learn Upon completion of AP Calculus II, students will be able to: I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology,
More informationMilford Public Schools Curriculum. Department: Mathematics Course Name: Calculus Course Description:
Milford Public Schools Curriculum Department: Mathematics Course Name: Calculus Course Description: UNIT # 1 Unit Title: Limits, Continuity, and Definition of the Derivative The idea of limits is important
More informationRegion 16 Board of Education AP Calculus Curriculum 2008
Region 16 Board of Education AP Calculus Curriculum 2008 Course Description This course develops students understanding of the concepts of calculus and provides experience with its methods and applications.
More informationI. AP Calculus AB Major Topic: Functions, Graphs, and Limits
A.P. Calculus AB Course Description: AP Calculus AB is an extension of advanced mathematical concepts studied in Precalculus. Topics include continuity and limits, composite functions, and graphing. An
More informationCalculus Honors Curriculum Guide Dunmore School District Dunmore, PA
Calculus Honors Dunmore School District Dunmore, PA Calculus Honors Prerequisite: Successful completion of Trigonometry/Pre-Calculus Honors Major topics include: limits, derivatives, integrals. Instruction
More informationTopics Covered in Calculus BC
Topics Covered in Calculus BC Calculus BC Correlation 5 A Functions, Graphs, and Limits 1. Analysis of graphs 2. Limits or functions (including one sides limits) a. An intuitive understanding of the limiting
More informationAP Calculus Curriculum Guide Dunmore School District Dunmore, PA
AP Calculus Dunmore School District Dunmore, PA AP Calculus Prerequisite: Successful completion of Trigonometry/Pre-Calculus Honors Advanced Placement Calculus is the highest level mathematics course offered
More informationTopic Subtopics Essential Knowledge (EK)
Unit/ Unit 1 Limits [BEAN] 1.1 Limits Graphically Define a limit (y value a function approaches) One sided limits. Easy if it s continuous. Tricky if there s a discontinuity. EK 1.1A1: Given a function,
More informationCalculus I Curriculum Guide Scranton School District Scranton, PA
Scranton School District Scranton, PA Prerequisites: Successful completion of Elementary Analysis or Honors Elementary Analysis is a high level mathematics course offered by the Scranton School District.
More informationMIDLAND ISD ADVANCED PLACEMENT CURRICULUM STANDARDS AP CALCULUS AB
Curricular Requirement 1: The course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; and Integrals as delineated in the Calculus AB Topic Outline in the AP Calculus Course
More informationInstructional Unit: A. Approximate limits, derivatives, and definite integrals using numeric methods
Curriculum: AP Calculus AB-I Curricular Unit: Limits, Derivatives, and Integrals Instructional Unit: A. Approximate limits, derivatives, and definite integrals using numeric methods Description Section
More informationBC Calculus Syllabus. Assessment Students are assessed in the following ways:
BC Calculus Syllabus Assessment Students are assessed in the following ways: Unit tests Project Problem Sessions Weekly assignments done outside of class that consist of problems from released Quizzes
More informationDue Date: Thursday, March 22, 2018
The Notebook Project AP Calculus AB This project is designed to improve study skills and organizational skills for a successful career in mathematics. You are to turn a composition notebook into a Go To
More informationCurriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015
Curriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015 Students who successfully complete this course will receive one credit AP Calculus AB and will take the AP Calculus AB Exam. 1. The
More informationPrentice Hall. Calculus: Graphical, Numerical, Algebraic National Advanced Placement Course Descriptions for Calculus BC.
Prentice Hall Grades 9-12 Calculus: Graphical, Numerical, Algebraic 2007 C O R R E L A T E D T O National Advanced Placement Course Descriptions for Calculus BC Grades 9-12 I Functions, Graphs, and Limits
More informationCHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE ADVANCED PLACEMENT CALCULUS AB
CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE ADVANCED PLACEMENT CALCULUS AB Course Number 5124 Department Mathematics Prerequisites Successful completion of Integrated Math 3 Honors (Honors
More informationAP Calculus BC. Course Overview. Course Outline and Pacing Guide
AP Calculus BC Course Overview AP Calculus BC is designed to follow the topic outline in the AP Calculus Course Description provided by the College Board. The primary objective of this course is to provide
More informationTopic Outline AP CALCULUS AB:
Topic Outline AP CALCULUS AB: Unit 1: Basic tools and introduction to the derivative A. Limits and properties of limits Importance and novelty of limits Traditional definitions of the limit Graphical and
More informationAdvanced Placement Calculus AB. South Texas ISD. Scope and Sequence with Learning Objectives
Advanced Placement Calculus AB South Texas ISD Scope and Sequence with Learning Objectives Advanced Placement Calculus AB Scope and Sequence - Year at a Glance AP Calculus AB - First Semester Three Weeks
More informationAP Calculus AB Syllabus
AP Calculus AB Syllabus Overview AP Calculus AB is comparable to a calculus course in a college or university. Students are expected to seek college credit and/or college placement from colleges or universities
More informationCOURSE OBJECTIVES LIST: CALCULUS
COURSE OBJECTIVES LIST: CALCULUS Calculus Honors and/or AP Calculus AB are offered. Both courses have the same prerequisites, and cover the same material. Girls enrolled in AP Calculus AB have the following
More informationRadnor High School Course Syllabus Advanced Placement Calculus BC 0460
Radnor High School Modified April 24, 2012 Course Syllabus Advanced Placement Calculus BC 0460 Credits: 1 Grades: 11, 12 Weighted: Yes Prerequisite: Recommended by Department Length: Year Format: Meets
More informationAP Calculus AB. Course Overview. Course Outline and Pacing Guide
AP Calculus AB Course Overview AP Calculus AB is designed to follow the topic outline in the AP Calculus Course Description provided by the College Board. The primary objective of this course is to provide
More informationAP Calculus BC Syllabus Course Overview
AP Calculus BC Syllabus Course Overview Textbook Anton, Bivens, and Davis. Calculus: Early Transcendentals, Combined version with Wiley PLUS. 9 th edition. Hoboken, NJ: John Wiley & Sons, Inc. 2009. Course
More informationMIDLAND ISD ADVANCED PLACEMENT CURRICULUM STANDARDS AP CALCULUS BC
Curricular Requirement 1: The course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; Integrals; and Polynomial Approximations and Series as delineated in the Calculus BC
More informationAdvanced Placement AB Calculus
Advanced Placement AB Calculus Performance Objectives and Time Table Text: Calculus, 8 th edition, by Howard Anton, Irl Bivens, Stephen Davis. John Wiley & Sons, Inc. 005 FIRST NINE WEEKS SECOND NINE WEEKS
More informationCHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT
CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT Course Number 5125 Department Mathematics Prerequisites Successful completion of Honors Pre-Calculus or Trigonometry
More informationMATHEMATICS AP Calculus (BC) Standard: Number, Number Sense and Operations
Standard: Number, Number Sense and Operations Computation and A. Develop an understanding of limits and continuity. 1. Recognize the types of nonexistence of limits and why they Estimation are nonexistent.
More informationSyllabus for AP Calculus BC Fall 2015
Syllabus for AP Calculus BC Fall 2015 Mr. Hadley michael.hadley@cobbk12.org Approach: I use a multirepresentational approach, The Rule of Five, to teach the concepts of calculus. I present topics graphically,
More informationSyllabus for AP Calculus AB Spring 2015
Syllabus for AP Calculus AB Spring 2015 Mr. Hadley michael.hadley@cobbk12.org Approach: I use a multirepresentational approach, The Rule of Five, to teach the concepts of calculus. I present topics graphically,
More informationHigh School AP Calculus AB Curriculum
High School AP Calculus AB Curriculum Course Description: AP Calculus AB is designed for the serious and motivated college-bound student planning to major in math, science or engineering. This course prepares
More informationAP Calculus BC Syllabus
AP Calculus BC Syllabus Course Overview AP Calculus BC is the study of the topics covered in college-level Calculus I and Calculus II. This course includes instruction and student assignments on all of
More informationAP Calculus AB Syllabus
AP Calculus AB Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus of a Single Variable,
More informationAP CALCULUS AB Study Guide for Midterm Exam 2017
AP CALCULUS AB Study Guide for Midterm Exam 2017 CHAPTER 1: PRECALCULUS REVIEW 1.1 Real Numbers, Functions and Graphs - Write absolute value as a piece-wise function - Write and interpret open and closed
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( B C ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives
More informationAP Calculus BC Syllabus
AP Calculus BC Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus, 7 th edition,
More informationCalculus: Graphical, Numerical, Algebraic 2012
A Correlation of Graphical, Numerical, Algebraic 2012 To the Advanced Placement (AP) Calculus AB/BC Standards Introduction The following correlation demonstrates the alignment of content between Graphical,
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( A B ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives
More informationMATH 101 COURSE SYLLABUS
TOPICS OF THE COURSE 2. LIMITS AND RATE OF CHANGE : (8 Hours) Introduction to Limits, Definition of Limit, Techniques for Finding Limits, Limits Involving Infinity, Continuous functions. 3. THE DERIVATIVE
More informationAP Calculus BC. Course Description:
AP Calculus BC Course Description: The two fundamental problems of Calculus include: 1) finding the slope of the tangent to a curve, determined by the derivative, and 2) finding the area of a region under
More informationUnit 1: Pre-Calculus Review (2 weeks) A. Lines 1. Slope as rate of change 2. Parallel and perpendicular lines 3. Equations of lines
Calculus AB Syllabus AB Course Outline The following is an outline of the topics we will cover and a typical sequence in which those topics will be covered. The time spent is only an estimate of the average
More informationCalculus Content Standards
Content Standards Course Title: Course/Unit Credit: 1 Course Number: 434010 Teacher Licensure: Please refer to the Course Code Management System (https://adedata.arkansas.gov/ccms/) for the most current
More informationCalculus Graphical, Numerical, Algebraic 2012
A Correlation of Graphical, Numerical, Algebraic 2012 To the Advanced Placement (AP)* AB/BC Standards Grades 9 12 *Advanced Placement, Advanced Placement Program, AP, and Pre-AP are registered trademarks
More informationSchool District of Marshfield Course Syllabus
School District of Marshfield Course Syllabus Course Name: AP Calculus AB Honors Length of Course: 1 Year Credit: 1 Program Goal(s): The School District of Marshfield Mathematics Program will prepare students
More informationAP Calculus AB Syllabus
Introduction AP Calculus AB Syllabus Our study of calculus, the mathematics of motion and change, is divided into two major branches differential and integral calculus. Differential calculus allows us
More informationHouston Independent School District AP CALCULUS AB COURSE SYLLABUS
AP Course Design and Philosophy In one high school year-long course, AP Calculus AB provides a semester or more of university-level calculus. As students of a university-level course, calculus students
More information2007 ~ 2008 AP CALCULUS AB SYLLABUS
2007 ~ 2008 AP CALCULUS AB SYLLABUS Teacher: Mr. Leckie Room: 201 Course: AP Calculus AB Textbook: Calculus: Graphical, Numerical, Algebraic, 3 rd edition COURSE CONTENT: Calculus is the mathematics of
More informationHarbor Creek School District
Unit 1 Days 1-9 Evaluate one-sided two-sided limits, given the graph of a function. Limits, Evaluate limits using tables calculators. Continuity Evaluate limits using direct substitution. Differentiability
More informationCalculus Graphical, Numerical, Algebraic AP Edition, Demana 2012
A Correlation of Graphical, Numerical, Algebraic AP Edition, Demana 2012 To the Advanced Placement AB/BC Standards Bid Category 13-100-40 AP is a trademark registered and/or owned by the College Board,
More informationAcademic Content Standard MATHEMATICS. MA 51 Advanced Placement Calculus BC
Academic Content Standard MATHEMATICS MA 51 Advanced Placement Calculus BC Course #: MA 51 Grade Level: High School Course Name: Advanced Placement Calculus BC Level of Difficulty: High Prerequisites:
More informationAP Calculus BC: Syllabus 3
AP Calculus BC: Syllabus 3 Scoring Components SC1 SC2 SC3 SC4 The course teaches Functions, Graphs, and Limits as delineated in the Calculus BC Topic The course teaches Derivatives as delineated The course
More informationBurlington County Institute of Technology Curriculum Document
Burlington County Institute of Technology Curriculum Document Course Title: Calculus Curriculum Area: Mathematics Credits: 5 Credits per course Board Approved: June 2017 Prepared by: Jessica Rista, John
More informationWellston City Schools Calculus Curriculum Calendar
Wellston City Schools Calculus 2006-2007 Curriculum Calendar Grading Period 1:Week 1: Review 11 th grade standards Learn to represent functions using: *Words *Tables of values *Graphs *Formulas Present
More informationHow do limits demonstrate the dynamic nature of Calculus? How will the three processes confirm the uniqueness of a limit?
WDHS Curriculum Map: created by Andrea Kappre Course: Honors Calculus March 2012 Time Interval/ Content Standards/ Strands Essential Questions Skills Assessment Unit 1: Limits Sections 2-1 -2-5 F-IF.7.
More informationCourse Syllabus BHS Room 309 (360)
AP Calculus Mrs. Stansbery Course Syllabus BHS Room 309 (360) 473-0875 sandra.stansbery@bremertonschools.org Classroom Expectations 1. Come to class on time and prepared to learn. Take care of locker visits,
More informationNorthampton County Schools Calculus Mathematics Pacing Guide
Northampton County Schools Calculus Mathematics 2008-2009 Pacing Guide Grading Periods Included 1 st SEMESTER 1 st Six Weeks 2 nd Six Weeks 3 rd Six Weeks Northampton County Schools Department of Curriculum
More information*AP Calculus BC (#9550)
AASD MATHEMATICS CURRICULUM *AP Calculus BC (#9550) Description This course is an in-depth development and extension of the concepts of calculus that were introduced to the students in Introduction to
More informationAP Calculus AB - Course Outline
By successfully completing this course, you will be able to: a. Work with functions represented in a variety of ways and understand the connections among these representations. b. Understand the meaning
More informationMEDFORD HIGH SCHOOL COURSE SYLLABUS. Advanced Placement Calculus AB
MEDFORD HIGH SCHOOL COURSE SYLLABUS Department: Course Title: Mathematics Advanced Placement Calculus AB Level and/or Grade: AP; Grade 11/12 Prerequisite: B+ or better in Honors Pre-Calculus or teacher
More informationCurriculum Catalog
2017-2018 Curriculum Catalog - for use with AP courses 2017 Glynlyon, Inc. Table of Contents CALCULUS COURSE OVERVIEW... 1 UNIT 1: GRAPHS AND LIMITS... 1 UNIT 2: DERIVATIVES... 2 UNIT 3: RELATED RATES...
More informationNotes about changes to Approved Syllabus # 43080v2
Notes about changes to Approved Syllabus # 43080v2 1. An update to the syllabus was necessary because of a county wide adoption of new textbooks for AP Calculus. 2. No changes were made to the Course Outline
More informationCALCULUS SEVENTH EDITION. Indiana Academic Standards for Calculus. correlated to the CC2
CALCULUS SEVENTH EDITION correlated to the Indiana Academic Standards for Calculus CC2 6/2003 2002 Introduction to Calculus, 7 th Edition 2002 by Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards
More informationHonors Calculus Curriculum Maps
Honors Calculus Curriculum Maps Unit of Study: Prerequisites for Calculus Unit of Study: Limits and Continuity Unit of Study: Differentiation Unit of Study: Applications of Derivatives Unit of Study: The
More informationPETERS TOWNSHIP HIGH SCHOOL
PETERS TOWNSHIP HIGH SCHOOL COURSE SYLLABUS: AP CALCULUS BC Course Overview and Essential Skills AP Calculus BC is a challenging class which will prepare students to take the AP Calculus BC Exam in May
More informationCalculus C. Calculus includes the following domains and clusters:
Calculus C Calculus is designed for students interested in STEM-based careers and builds on the concepts studied in precalculus. The study of calculus on the high school level includes a study of limits,
More informationAP Calculus AB UNIT 1: PRECALCULUS REVIEW UNIT 2: BRIDGE TO CALCULUS LESSON 1: INTRO TO CALCULUS LESSON 2: FUNCTIONS
Advanced Placement AP Calculus AB In AP* Calculus AB, students learn to understand change geometrically and visually (by studying graphs of curves), analytically (by studying and working with mathematical
More informationCHAPTER 1 Prerequisites for Calculus 2. CHAPTER 2 Limits and Continuity 58
CHAPTER 1 Prerequisites for Calculus 2 1.1 Lines 3 Increments Slope of a Line Parallel and Perpendicular Lines Equations of Lines Applications 1.2 Functions and Graphs 12 Functions Domains and Ranges Viewing
More informationAP Calculus B C Syllabus
AP Calculus B C Syllabus Course Textbook Finney, Ross L., et al. Calculus: Graphical, Numerical, Algebraic. Boston: Addison Wesley, 1999. Additional Texts & Resources Best, George, Stephen Carter, and
More informationLearning Objectives for Math 165
Learning Objectives for Math 165 Chapter 2 Limits Section 2.1: Average Rate of Change. State the definition of average rate of change Describe what the rate of change does and does not tell us in a given
More informationSyllabus for AP Calculus BC
Syllabus for AP Calculus BC Underlying Focus: The emphasis in AP Calculus is on an intuitive understanding of all concepts and the interplay between the geometric and analytic information and on the use
More information2013 ~ 2014 AP CALCULUS AB SYLLABUS
2013 ~ 2014 AP CALCULUS AB SYLLABUS Teacher: Mr. Leckie Room 508 Course: AP Calculus AB Textbook: Calculus: Graphical, Numerical, Algebraic, 3 rd edition COURSE CONTENT: Calculus is the mathematics of
More informationSaxon Calculus Scope and Sequence
hmhco.com Saxon Calculus Scope and Sequence Foundations Real Numbers Identify the subsets of the real numbers Identify the order properties of the real numbers Identify the properties of the real number
More informationTopic Outline for Calculus BC
Techniques of antidifferentiation Antiderivatives following directly from derivatives of basic functions. Antiderivatives by substitution of variables (including change of limits for definite integrals).
More informationFairfield Public Schools
Mathematics Fairfield Public Schools AP Calculus AB AP Calculus AB BOE Approved 04/08/2014 1 AP CALCULUS AB Critical Areas of Focus Advanced Placement Calculus AB consists of a full year of college calculus.
More informationAP Calculus AB and AP Calculus BC Curriculum Framework
Curriculum Framework AP Calculus AB and AP Calculus BC Curriculum Framework The AP Calculus AB and AP Calculus BC Curriculum Framework speciies the curriculum what students must know, be able to do, and
More informationFairfield Public Schools
Mathematics Fairfield Public Schools AP Calculus BC AP Calculus BC BOE Approved 04/08/2014 1 AP CALCULUS BC Critical Areas of Focus Advanced Placement Calculus BC consists of a full year of college calculus.
More informationWest Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12
West Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12 Unit 1: Limits and Continuity What is a limit? Definition of limit, continuous, Sandwich Theorem, Intermediate Value Theorem
More informationAP Calculus AB Course Description and Syllabus
AP Calculus AB Course Description and Syllabus Course Objective: This course is designed to prepare the students for the AP Exam in May. Students will learn to use graphical, numerical, verbal and analytical
More informationAdvanced Placement Calculus Syllabus- BC
Advanced Placement Calculus Syllabus- BC Prerequisites All students should have completed four years of secondary mathematics designed for accelerated students. These should consist of the accelerated
More informationSyllabus for BC Calculus
Syllabus for BC Calculus Course Overview My students enter BC Calculus form an Honors Precalculus course which is extremely rigorous and we have 90 minutes per day for 180 days, so our calculus course
More informationMathematics. AP Calculus. New Jersey Quality Single Accountability Continuum (NJQSAC) Course Title. Department:
Date: September 1-15 September 16-30 What skills should students possess entering? What are the properties of linear, quadratic, exponential, parametric, and logarithmic equations? What is the difference
More informationAP Calculus Overview
AP Calculus Overview 2009-2010 Month Content Skills Assessment AUG.-SEPT. PreCalc Review - Reduce Rational Expressions - edhelper worksheet - Factor and solve Quadratic equations. - TM Algebra review Graph
More informationCalculus I
Calculus I 978-1-63545-038-5 To learn more about all our offerings Visit Knewton.com/highered Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Gilbert Strang, Massachusetts Institute
More informationCW High School. Calculus/AP Calculus A
1. Algebra Essentials (25.00%) 1.1 I can apply the point-slope, slope-intercept, and general equations of lines to graph and write equations for linear functions. 4 Pro cient I can apply the point-slope,
More informationMATHEMATICAL ANALYSIS CURRICULUM GUIDE
MATHEMATICAL ANALYSIS CURRICULUM GUIDE Loudoun County Public Schools 2010-2011 Complete scope, sequence, pacing and resources are available on the CD and will be available on the LCPS Intranet. INTRODUCTION
More informationAP Calculus AB Course Outline
AP Calculus AB Course Outline Prerequisite: Satisfactory completion of: Geometry, Algebra II, and Pre-calculus Advanced Placement Calculus AB is designed as college-level Calculus I. Students are required
More informationMs. York s AP Calculus AB Class Room #: Phone #: Conferences: 11:30 1:35 (A day) 8:00 9:45 (B day)
Ms. York s AP Calculus AB Class Room #: 303 E-mail: hyork3@houstonisd.org Phone #: 937-239-3836 Conferences: 11:30 1:35 (A day) 8:00 9:45 (B day) Course Outline By successfully completing this course,
More informationAP Calculus AB Course Syllabus
AP Calculus AB Course Syllabus Grant Community High School Mr. Rous Textbook Finney, Ross L., Franklin D. Demana, Bert K. Waits, and Daniel Kennedy. Calculus Graphical, Numerical, Algebraic, Fourth Addition,
More informationReview Guideline for Final
Review Guideline for Final Here is the outline of the required skills for the final exam. Please read it carefully and find some corresponding homework problems in the corresponding sections to practice.
More informationCalculus I (108), Fall 2014 Course Calendar
Calculus I (108), Fall 2014 Course Calendar Nishanth Gudapati December 6, 2014 Please check regularly for updates and try to come prepared for the next class. The topics marked in red are not covered in
More informationCurriculum Design Template. Course Title: Calculus Grade Level: 12. Topics in Differentiation Marking Period 2
Curriculum Design Template Content Area: Mathematics Course Title: Calculus Grade Level: 12 Limits and Continuity Derivatives and Differentiation Marking Period 1 Topics in Differentiation Marking Period
More information