West Windsor-Plainsboro Regional School District AP Calculus AB Grades 9-12

Size: px
Start display at page:

Download "West Windsor-Plainsboro Regional School District AP Calculus AB Grades 9-12"

Transcription

1 West Windsor-Plainsboro Regional School District AP Calculus AB Grades 9-12

2 18 days Unit 1: Limits and Continuity What is a limit? The informal definition of a limit, definition of continuous Estimate the slope of a line tangent to a given point Estimate the average velocity and instantaneous velocity at a given time Determine the limit of a function by applying the limit laws Show, by definition, if a function is continuous Calculate slopes of tangents, velocities, and other rates of change by applying the learned techniques to compute limits

3 Core Text: Calculus, 4 th Edition, Brooks, Cole Suggested :

4 Unit 2: Derivatives 18 days What is a derivative? How do we use derivatives? Terms: Derivative, chain rule, implicit differentiation, linear approximation, differentials, differentiable Apply the definition of derivative as a function Interpret the derivative as a rate of change Apply the power rule, product rule, and quotient rule to evaluate derivatives of functions Extend the concept of rates of change to the natural sciences and social sciences Differentiate trigonometric functions Differentiate a function by applying the chain rule Apply the method of implicit differentiation Evaluate higher order derivatives Solve related rate applications Find the linearization of a function and use it to approximate values

5 Compute the differential of a function Core Text: Calculus, 4 th Edition, Brooks, Cole Suggested :

6 Unit 3: Applications of Derivatives 18 days How can we use derivatives solve problems? The Mean Value Theorem, Newton s Method and the terms extreme values and anti derivative Apply calculus to find the maximum/minimum values of a function Apply the Mean Value Theorem Analyze and make the connections between and Evaluate limits at infinity Sketch the curve of a function by applying the first and second derivative tests Solve real world optimization problems Approximate roots by using Newton s method Determine the anti derivative of a function

7 Core Text: Calculus, 4 th Edition, Brooks, Cole Suggested :

8 Unit 4: Integrals 18 days How can we use integrals to find areas under a curve? How can we use integrals to solve problems? The Fundamental Theorem of Calculus, the Total Change Theorem and the term integral Approximate the area under a curve Approximate the total distance traveled Apply the definition of definite integral Approximate the definite integral Approximate definite integrals by applying the trapezoidal rule Apply the Fundamental Theorem of Calculus Solve applications involving the Total Change Theorem Evaluate definite and indefinite integrals by applying the substitution rule

9 Core Text: Calculus, 4 th Edition, Brooks, Cole Suggested :

10 Unit 5: Inverse Functions Course & Grade Level: Calculus Honors, 9 12 Calculus is a final course in the college preparatory sequence. It is designed for students who have successfully completed Pre calculus, but who need a less rigorous pace than Advanced Placement Calculus, as well as reinforcement of fundamental pre calculus concepts. The curriculum is designed to introduce students to a variety of calculus concepts while promoting critical thinking and fine tuning their pre calculus skills. This course will prepare students to continue on in higher level mathematics courses with confidence. Topics covered include a review of functions, limits, differentiation, applications of the derivative, integration and its applications, and trigonometric functions. 22 days What are the properties of inverse functions? How can we evaluate derivatives of inverse trigonometric functions? Properties of inverse functions Evaluate the derivative of an inverse function at a given point Compute the derivative of an exponential function Integrate exponential functions Differentiate logarithmic functions Integrate logarithmic functions Apply the method of logarithmic differentiation Evaluate derivatives of inverse trigonometric functions Integrate inverse trigonometric functions

11 Core Text: Calculus, Seventh Edition, Larson, Hostetler, Edwards Suggested :

12 Unit 6: Applications of Integration 18 days How can we use integration to solve real world problems? How can we find the area of a region? The disk, washer and shell method to find volume of a solid The meaning of the term: average value of a function Find the area of a region bounded by two curves Find the volume of a solid obtained by a rotation, using the disk method Find the volume of a solid obtained by a rotation, using the washer method Find the volume of a solid obtained by a rotation, using the shell method Find the volume of a solid with a known cross section Solve real world application problems involving area Solve application problems involving volume Find the average value of a function

13 Core Text: Calculus, 4 th Edition, Brooks, Cole Suggested :

14 Unit 7: Slope Fields and Differential Equations 18 days How can we construct a slope field? How do you solve differential equations using separation of variables? Terms: slope fields and differential equations Construct a slope field Sketch an anti derivative using a slope field Solve a differential equation by using separation of variables Core Text: Calculus, 4 th Edition, Brooks, Cole Suggested :

15 Unit 8: Improper Integrals 18 days How can we evaluate and use improper integrals? Terms: Divergence, convergence, improper integral, l hopital s rule Evaluate improper integrals with infinite integration limits Evaluate improper integrals with infinite discontinuities Apply improper integrals to finding the volume of an infinite solid Evaluate limits applying l hopital s rule Core Text: Calculus, 4 th Edition, Brooks, Cole Suggested :

16 Unit 9: Techniques of Integration This unit is optional enrichment at the teacher s discretion 18 days How do we apply the techniques of integration to differentiate functions? Terms: Partial fraction decomposition Apply integration by parts to differentiate functions Apply trigonometric substitution to differentiate functions Apply partial fraction decomposition to differentiate functions Core Text: Calculus, 4 th Edition, Brooks, Cole

17 Unit 10: Applications of Integration This unit is optional enrichment at the teacher s discretion 18 days How can we use integration to find the length of an arc? How can we use integration to evaluate the surface area of a function? Definition of arc length Find the length of an arc Evaluate the surface area of a function Core Text: Calculus, 4 th Edition, Brooks, Cole

West Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12

West 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 information

AP Calculus BC Scope & Sequence

AP 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 information

AP Calculus AB Syllabus

AP 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 information

General Calculus II. Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms

General Calculus II. Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms Course Text General Calculus II Students may select any one of these texts aligned to this course: Larson, R., Hostetler, R. P., and Edwards, B. Calculus Early Transcendental Functions, 3rd edition. Houghton

More information

Syllabus for AP Calculus BC

Syllabus 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 information

CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE ADVANCED PLACEMENT CALCULUS AB

CHINO 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 information

Fairfield Public Schools

Fairfield 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 information

AP Calculus BC. Course Overview. Course Outline and Pacing Guide

AP 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 information

*AP Calculus BC (#9550)

*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 information

Notes about changes to Approved Syllabus # 43080v2

Notes 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 information

AP Calculus BC Syllabus

AP 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 information

CALCULUS SEVENTH EDITION. Indiana Academic Standards for Calculus. correlated to the CC2

CALCULUS 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 information

CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT

CHINO 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 information

AP Calculus AB Course Outline

AP 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 information

AP Calculus B C Syllabus

AP 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 information

Calculus. reparation for Calculus, Limits and Their Properties, and Differentiation. Gorman Learning Center (052344) Basic Course Information

Calculus. reparation for Calculus, Limits and Their Properties, and Differentiation. Gorman Learning Center (052344) Basic Course Information Calculus Gorman Learning Center (052344) Basic Course Information Title: Calculus Transcript abbreviations: calcag / calc Length of course: Full Year Subject area: Mathematics ("c") / Calculus UC honors

More information

Fairfield Public Schools

Fairfield 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 information

MEDFORD HIGH SCHOOL COURSE SYLLABUS. Advanced Placement Calculus AB

MEDFORD 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 information

AP Calculus Curriculum Guide Dunmore School District Dunmore, PA

AP 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 information

AP Calculus BC. Course Description:

AP 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 information

How do limits demonstrate the dynamic nature of Calculus? How will the three processes confirm the uniqueness of a limit?

How 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 information

Curriculum Map: Mathematics

Curriculum Map: Mathematics Curriculum Map: Mathematics Course: Calculus Grade(s): 11/12 Unit 1: Prerequisites for Calculus This initial chapter, A Prerequisites for Calculus, is just that-a review chapter. This chapter will provide

More information

Curriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015

Curriculum 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 information

Region 16 Board of Education AP Calculus Curriculum 2008

Region 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 information

PETERS TOWNSHIP HIGH SCHOOL

PETERS 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 information

AP Calculus AB. Course Overview. Course Outline and Pacing Guide

AP 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 information

Burlington County Institute of Technology Curriculum Document

Burlington 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 information

BC Calculus Syllabus. Assessment Students are assessed in the following ways:

BC 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 information

Calculus I Curriculum Guide Scranton School District Scranton, PA

Calculus 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 information

MTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II

MTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II MTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II Instructor: David H. Pleacher Home Phone: 869-4883 School Phone: 662-3471 Room: 212 E-Mail Address: Pleacher.David@wps.k12.va.us

More information

Mathematics Scope & Sequence Calculus AB

Mathematics Scope & Sequence Calculus AB Mathematics Scope & Sequence 2015-16 Calculus AB Revised: March 2015 First Six Weeks (29 ) Limits and Continuity Limits of (including onesided limits) An intuitive understanding of the limiting process

More information

Syllabus for AP Calculus BC Fall 2015

Syllabus 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 information

AP Calculus BC Syllabus Course Overview

AP 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 information

Curriculum Catalog

Curriculum 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 information

AP Calculus BC Syllabus

AP Calculus BC Syllabus Instructor: Jennifer Manzano-Tackett jennifer-manzano@scusd.edu (916) 395-5090 Ext. 506308 www.mt-jfk.com AP Calculus BC Syllabus Textbook: Calculus, 6th edition, by Larson, Hostetler and Edwards: Houghton

More information

LAKELAND COMMUNITY COLLEGE COURSE OUTLINE FORM

LAKELAND COMMUNITY COLLEGE COURSE OUTLINE FORM LAKELAND COMMUNITY COLLEGE COURSE OUTLINE FORM ORIGINATION DATE: 8/2/99 APPROVAL DATE: 3/22/12 LAST MODIFICATION DATE: 3/28/12 EFFECTIVE TERM/YEAR: FALL/ 12 COURSE ID: COURSE TITLE: MATH2500 Calculus and

More information

Academic Content Standard MATHEMATICS. MA 51 Advanced Placement Calculus BC

Academic 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 information

Curriculum Design Template. Course Title: Calculus Grade Level: 12. Topics in Differentiation Marking Period 2

Curriculum 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

Honors Calculus Curriculum Maps

Honors 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 information

Radnor High School Course Syllabus Advanced Placement Calculus BC 0460

Radnor 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 information

AP Calculus AB - Course Outline

AP 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 information

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

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 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 information

AP Calculus AB. Syllabus. Course Overview and Philosophy. Course Planner:

AP Calculus AB. Syllabus. Course Overview and Philosophy. Course Planner: AP Calculus AB Syllabus Course Overview and Philosophy We cover all topics in the Calculus AB topic outline in the AP Calculus Course Description, and we also include integration by parts, shell method,

More information

Correlation with College Board Advanced Placement Course Descriptions

Correlation 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 information

Wellston City Schools Calculus Curriculum Calendar

Wellston 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 information

Syllabus for BC Calculus

Syllabus 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 information

Milford Public Schools Curriculum. Department: Mathematics Course Name: Calculus Course Description:

Milford 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 information

TEXTBOOK: Calculus With Analytic Geometry by Roland Larson, Robert Hostetler, and Bruce Edwards; 6 th edition, 1998, Houghton ;Mifflin Company.

TEXTBOOK: Calculus With Analytic Geometry by Roland Larson, Robert Hostetler, and Bruce Edwards; 6 th edition, 1998, Houghton ;Mifflin Company. AP Calculus AB Syllabus. Kelli Gamez Warble 2009 Course Overiew COURSE FOCUS: the study of functions in a variety of representations (numerical, graphical, analytical, and verbal); the investigation of

More information

Greenwich Public Schools Mathematics Curriculum Objectives. Calculus

Greenwich 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 information

Syllabus for AP Calculus AB Spring 2015

Syllabus 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 information

Students will use appropriate models and quantitative methods to analyze data, explore relationships among variables, and find missing information.

Students will use appropriate models and quantitative methods to analyze data, explore relationships among variables, and find missing information. Master Syllabus and Course Content MATH 2261 Calculus I Georgia Highlands College Updated for Fall 2017 Course Description: Mathematics 2261: Calculus I 4-0-4. Prerequisite: MATH 1113 with a grade of C

More information

Ms. 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 #: 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 information

Fairfield Public Schools

Fairfield Public Schools Mathematics Fairfield Public Schools Introduction to Calculus 50 Introduction to Calculus 50 BOE Approved 04/08/2014 1 INTRODUCTION TO CALCULUS 50 Critical Areas of Focus Introduction to Calculus 50 course

More information

Williamsville C.U.S.D. #15 Mathematics Curriculum

Williamsville C.U.S.D. #15 Mathematics Curriculum MATHEMATICS CURRICULUM AP CALCULUS 1 Program Title: A.P. Calculus Williamsville C.U.S.D. #15 Mathematics Curriculum Program Description: Program Content: AP Calculus is a full-year course. This course

More information

AP Calculus AB Syllabus

AP 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 information

Advanced Placement Calculus I - What Your Child Will Learn

Advanced 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 information

Calculus Honors Curriculum Guide Dunmore School District Dunmore, PA

Calculus 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 information

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK

HUDSONVILLE 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 information

Calculus Graphical, Numerical, Algebraic 5e AP Edition, 2016

Calculus Graphical, Numerical, Algebraic 5e AP Edition, 2016 A Correlation of Graphical, Numerical, Algebraic 5e AP Edition, 2016 Finney, Demana, Waits, Kennedy, & Bressoud to the Florida Advanced Placement AB/BC Standards (#1202310 & #1202320) AP is a trademark

More information

MATH 101 COURSE SYLLABUS

MATH 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 information

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK

HUDSONVILLE 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 information

LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING AND COMPUTER SCIENCE

LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING AND COMPUTER SCIENCE LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING AND COMPUTER SCIENCE MAT 201 - CALCULUS I PRE-REQUISITES: MAT 200 (PRECALCULUS) OR ITS EQUIVALENT BY WAIVER

More information

K-12 MATHEMATICS STANDARDS

K-12 MATHEMATICS STANDARDS MATHEMATICS To the reader: This document presents our mathematics standards through the lens of Understanding by Design. We began by identifying the important broad understandings and the essential questions

More information

Pine Grove Area. Mathematics. Calculus. September 18, 2008

Pine Grove Area. Mathematics. Calculus. September 18, 2008 Pine Grove Area Mathematics Calculus September 18, 2008 I. PHILOSOPHY: The Calculus course of the Pine Grove Area School District has been structured to systematically introduce and reinforce the language

More information

Houston Independent School District AP CALCULUS AB COURSE SYLLABUS

Houston 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 information

AP Calculus BC. Functions, Graphs, and Limits

AP 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 information

Advanced Placement Calculus AB/BC Standards

Advanced Placement Calculus AB/BC Standards A Correlation of Calculus AP Edition, 2018 To the Advanced Placement Calculus AB/BC Standards AP is a trademark registered and/or owned by the College Board, which was not involved in the production of,

More information

School District of Marshfield Course Syllabus

School 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 information

I. AP Calculus AB Major Topic: Functions, Graphs, and Limits

I. 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 information

Grading System 50% Tests and Projects, 50% Homework and Class Participation

Grading 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 information

West Windsor-Plainsboro Regional School District Pre-Calculus Grades 11-12

West Windsor-Plainsboro Regional School District Pre-Calculus Grades 11-12 West Windsor-Plainsboro Regional School District Pre-Calculus Grades 11-12 Unit 1: Solving Equations and Inequalities Algebraically and Graphically Content Area: Mathematics Course & Grade Level: Pre Calculus,

More information

Calculus AP Edition, Briggs 2014

Calculus AP Edition, Briggs 2014 A Correlation of AP Edition, Briggs 2014 To the Florida Advanced Placement AB/BC Standards (#1202310 & #1202320) AP is a trademark registered and/or owned by the College Board, which was not involved in

More information

Advanced Placement Calculus II- What Your Child Will Learn

Advanced 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 information

Advanced 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 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 information

Upon completion of the course, the student should be able to:

Upon completion of the course, the student should be able to: Syllabus MAT 106 Calculus I 5 Credit Hours (Lecture) Prerequisites: MAT 105 or Assessment Revision Date: 12/8/2017 Department: Mathematics Course Description: Calculus I is the first in a three-semester

More information

Calculus Graphical, Numerical, Algebraic 2012

Calculus 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 information

Calculus Course Description and Philosophy

Calculus Course Description and Philosophy Calculus Course Description and Philosophy The Math 5 Course presented at the high school level is intended to serve those students who have successfully completed Math 4 (Pre-calculus). The general aim

More information

2007 ~ 2008 AP CALCULUS AB SYLLABUS

2007 ~ 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 information

Course Syllabus BHS Room 309 (360)

Course 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 information

AP Calculus Overview

AP 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 information

AP Calculus BC Syllabus

AP 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 information

Advanced Placement Calculus Syllabus- BC

Advanced 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 information

AP Calculus AB Course Description and Syllabus

AP 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 information

Prentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007

Prentice 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 information

Advanced Placement AB Calculus

Advanced 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 information

Standards for AP Calculus AB

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 information

(D.C. Heath and Company, 1994)

(D.C. Heath and Company, 1994) Course name: AP Calculus AB Revised: Aug 11, 2008 Course Description: In AP Calculus AB, students will explore four main ideas from calculus: limits, derivatives, indefinite integrals, and definite integrals.

More information

Calculus Graphical, Numerical, Algebraic AP Edition, Demana 2012

Calculus 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 information

Calculus: Graphical, Numerical, Algebraic 2012

Calculus: 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 information

AP Calculus BC. Course: AP Calculus BC

AP Calculus BC. Course: AP Calculus BC AP Calculus BC Course: AP Calculus BC Course Overview: This course is taught over a school year (2 semesters). During the first semester on a 90 minute mod, students cover everything in the Calculus AP

More information

Summit Public Schools Summit, New Jersey Grade Level 12 / Content Area: Mathematics Length of Course: Full Year

Summit Public Schools Summit, New Jersey Grade Level 12 / Content Area: Mathematics Length of Course: Full Year Summit Public Schools Summit, New Jersey Grade Level 12 / Content Area: Mathematics Length of Course: Full Year Calculus Curriculum (Adam Leaman 2018) Course Description: Topics learned in Pre-Calculus

More information

AP Calculus AB Syllabus

AP Calculus AB Syllabus AP Calculus AB Syllabus Course Description: This is a college level course covering derivatives, integrals, limits, applications and modeling of these topics. Course Objectives: The objectives of this

More information

Harbor Creek School District

Harbor 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 information

Topic Subtopics Essential Knowledge (EK)

Topic 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 information

Due Date: Thursday, March 22, 2018

Due 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 information

AP Calculus AB Course Syllabus

AP 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 information

Topic Outline AP CALCULUS AB:

Topic 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 information

AP Calculus AB Syllabus

AP 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 information

COURSE: AP Calculus BC GRADE: 12 PA ACADEMIC STANDARDS FOR MATHEMATICS:

COURSE: AP Calculus BC GRADE: 12 PA ACADEMIC STANDARDS FOR MATHEMATICS: COURSE: AP Calculus BC GRADE: 12 UNIT 1: Functions and Graphs TIME FRAME: 7 Days PA ACADEMIC STANDARDS FOR MATHEMATICS: M11.A.1 M11.A.1.1 M11.A.1.1.1 M11.A.1.1.2 M11.A.1.1.3 M11.A.2 M11.A.2.1 M11.A.2.1.1

More information

East Penn School District Secondary Curriculum

East Penn School District Secondary Curriculum East Penn School District Secondary Curriculum A Planned Course Statement for CACS (C.P.) Course # 340 Grade(s) 11, 12 Department: MATHEMATICS ength of Period (mins.) 42 Total Clock Hours: 126 Periods

More information