Dominican International School AP CALCULUS AB COURSE SYLLABUS GRADE LEVEL: 12 TEACHER: Mick Chang SCHOOL YEAR: 2017-18 EMAIL: mchang@dishs.tp.edu.tw COURSE DESCRIPTION: Calculus is the requisite math for many of the fields of study in college such as science, engineering, business, computer science, and more. The AP Calculus AB class prepares the student for the College Board s AP Calculus AB exam. The curriculum framework and standard for the course is based on the College Board s Course and Exam Description: AP Calculus AB (latest version). https://secure-media.collegeboard.org/digitalservices/pdf/ap/ap-calculus-ab-and-bc-course-and- -exam-description.pdf The curriculum and learning strategies adhere to the Dominican International School s Schoolwide Learner Outcomes (SLOs) which are Truthful, Organized, Reflective, Courageous, and Helpful (TORCH). The best practices of the student-centered learning are employed with collaboration, problem-based learning, technology integration, discussion, and more for the broader goal of lifelong learning and problem-solving. The skills and competencies expected from the studentss are defined by the National Council of Teachers of Mathematics (NCTM) as the Mathematical Practices for AP Calculus (MPAC) MPAC1: Reasoning with definitions and theorems, MPAC2: Connecting concepts, MPAC3: Implementing algebraic/computational processes, MPAC4: Connecting multiple representations, MPAC5: Building notational fluency, and MPAC: Communicating. Additional topics or lessons such as Pre-Calculube included depending on the timing, pacing, and the availability of the reviews, application projects, real-world issues, or more may class. The Classroom Rules for Success are: 1. Follow School Rules 2. Follow Instructions 3. Use Common Sense COURSE OBJECTIVES: The course objectives are defined in the College Board s Course and Exam Description: AP Calculus AB as the Concept Outline with the Big Ideas, Enduring Understandings, Learning Objectives, and Essential Knowledge. The AP Calculus Big Ideas are Limits, Derivatives, Integrals and the Fundamental Theorem of Calculus, and Series (BC only) with the following detailed Concept Outline:
ASSESSMENT: Tests and Quarterly Exams are announced in advance. Pop Quizzes are unannounced and can be given at any time during the class so the students must come to class prepared. ALL Tests, Exams and Quizzes may be cumulative so students are responsible for staying prepared of the previous scopes and lessons learned. Homeworks/Classworks/Seatworks are graded based on completion and completing by the due dates. Students are responsible for checking the assignments due dates posted on Google Classroom. Students are expected to be prepared to turn-in any work by the due date class time even if the Teacher did not instruct to turn-in at the due date. Any Missing, Incomplete or Late works are counted with 10% or more penalty with due dates as posted on the Google Classroom. Students MUST submit Mark as Done in Google Classroom for each assignments posted. Not submitting Done count as Incomplete with 10% penalty. Additional 10% are penalized for each day for late turn-in work. Actual work turn-in may be after the original due date, in which any incomplete work is well late. No late work are accepted 2 days after the due dates posted. Students who are absent are responsible for keeping up with the class by doing the work as assigned on Google Classroom. Students who miss the scheduled Test or Quarterly Exam must make-up the exam on return at the earliest. If the student does not make-up the exam at the earliest on return, then penalty may be deducted from the exam score. The make-up test/exam may be different and more challenging than the originally scheduled test/exam. The student grades are assigned as the following: 1. Tests and Pop Quizzes 30% 2. Homework/Classwork/Seatwork /Projects 30% 3. Quarterly Exam 30% 4. Deportment 10% Total Grade 100% PRIMARY TEXTBOOK & OTHER RESOURCES The students are required to bring the primary textbook to every class: Finney, Demana, Waits, Kennedy, and Bressoud, Calculus: Graphical, Numerical, Algebraic, AP* Edition, 5 th edition, Pearson, 2016. The required online textbook companion is the Pearson MyLab and Mastering site: https://www.pearsonmylabandmastering.com Students are required to bring the Ti-nspire CX (non-cas) calculator to every class. The Ti-nspire CX is permitted on the calculator allowed sections of the AP Calculus AB exam, SAT, and ACT. The calculator-based instructions depend on the Ti-nspire CX keystrokes. Students are required to check the school s Google Classroom site regularly for assignments and announcements. Regular correspondences are conducted with the school s Gmail. Students are required to come to class prepared with all the standard school supplies: Other resources may be required only if instructed. ADDITIONAL INFORMATION Please see Google Classroom for more information. Class code: tb7sq4
Schedule of Instruction may be changed due to timing, pacing or availability of the class. SUBJECT: AP CALCULUS AB 1st QUARTER (42 days) TENTATIVE COURSE CONTENT (NB: Depending on time and interest, the teacher may delete and/or add other selections.) Week / Date Week 1 Aug 3 rd to 4 th Only 1.5 Days Week 2 Aug 7 th to 11 th Only 4 Days Week 3 Aug 14 th to 18 th Week 4 Aug 21 st to 25 th Week 5 Aug 28 th to Sep 1 st Week 6 Sep 4 th to 8 th Week 7 Sep 11 th to 15 th Week 8 Sep 18 th to 22 nd Week 9 Sep 25 th to 27 th Only 3 Days Q1 EXAMS Oct 2 nd and 3 rd (Half Days) Topic / Projects / Assessments Thursday Orientation in the morning. M/H School regular class after lunch CHAPTER1 PREREQUISITES FOR CALCULUS 1.1 Linear Functions 1.2 Functions and Graphs 1.3 Exponential Functions Tuesday (Half Day) Blessing in the morning CHAPTER1 PREREQUISITES FOR CALCULUS 1.4 Parametric Equations 1.5 Inverse Functions and Logarithms 1.6 Trigonometric Functions/Solving Triangles Review Chapter1 CHAPTER2 LIMITS AND CONTINUITY 2.1 Rates of Change and Limits 2.2 Limits Involving Infinity 2.3 Continuity CHAPTER2 LIMITS AND CONTINUITY 2.4 Rates of Change, Tangent Lines, and Sensitivity Review Chapter2 CHAPTER3 DERIVATIVES 3.1 Derivative of a Function CHAPTER3 DERIVATIVES 3.2 Differentiability 3.3 Rules of Differentiation 3.4 Velocity and Other Rates of Change 3.5 Derivatives of Trigonometric Functions Review Chapter3 3.4 Velocity and Other Rates of Change 3.5 Derivatives of Trigonometric Functions Review Chapter3 CHAPTER4 MORE DERIVATIVES 4.1 Chain Rule 4.2 Implicit Differentiation CHAPTER4 MORE DERIVATIVES 4.3 Derivatives of Inverse Trigonometric Functions 4.4 Derivatives of Exponential and Logarithmic Functions Review Chapter4 1Q Review 1Q Exams
2 nd QUARTER (50 days) TENTATIVE COURSE CONTENT (NB: Depending on time and interest, the teacher may delete and/or add other selections.) Week / Date Week 1 (10) Oct 5 th to 6 th Only 2 Days Week 2 (11) Oct 11 th to 13 th Only 3 Days Week 3 (12) Oct 16 th to 20 th Week 4 (13) Oct 23 rd to 27 th Week 5 (14) Oct 30 th to Nov 3 rd Week 6 (15) Nov 6 th to 10 th Week 7 (16) Nov 13 th to 17 th Week 8 (17) Nov 20 th to 24 th Topic / Projects / Assessments CHAPTER5 APPLICATIONS OF DERIVATIVES 5.1 Extreme Values of Functions 5.2 Mean Value Theorem CHAPTER5 APPLICATIONS OF DERIVATIVES 5.3 Connecting f and f with the Graph of f 5.4 Mean Value Theorem CHAPTER5 APPLICATIONS OF DERIVATIVES 5.5 Connecting f and f with the Graph of 5.6 Mean Value Theorem Review Chapter5 CHAPTER6 THE DEFINITE INTEGRAL 6.1 Estimating with Finite Sums 6.2 Definite Integrals CHAPTER6 THE DEFINITE INTEGRAL 6.3 Definite Integrals and Antiderivatives 6.4 Fundamental Theorem of Calculus CHAPTER6 THE DEFINITE INTEGRAL 6.5 Trapezoidal Rule Review Chapter6 CHAPTER7 DIFFERENTIAL EQUATIONS AND MATHEMATICAL MODELING 7.1 Slope Fields and Euler s Method 2Q Review 2Q Exams for G12 Week 9 (18) Nov 27 th to Dec 1 st Week 10 (19) Dec 4 th to 8 th Only 4 Days Week 11 (20) Dec 11 th to 15 th Only 2 Days / Exams Dec 18 th to Jan 2 nd 2Q Exams for G12 Mon Thu - Classes might be interrupted for 60 th Anniversary Celebrations Friday Whole day celebration CHAPTER7 DIFFERENTIAL EQUATIONS AND MATHEMATICAL MODELING 7.2 Antidifferentiation by Substitution CHAPTER7 DIFFERENTIAL EQUATIONS AND MATHEMATICAL MODELING 7.3 Antidifferentiation by Parts Christmas Break
3rd QUARTER (53 days) TENTATIVE COURSE CONTENT (NB: Depending on time and interest, the teacher may delete and/or add other selections.) Week / Date Week 1 (21) Jan 3 rd to 5 th Only 3 Days Week 2 (22) Jan 8 th to 12 th Week 3 (23) Jan 15 th to 19 th Week 4 (24) Jan 22 nd to 26 th Week 5 (25) Jan 29 th to Feb 2 nd Week 6 (26) Feb 5 th to 9 th Week 7 (27) Feb 12 th to 14 th Only 3 Days / CNY Week 8 (28) Feb 21 st to 23 rd CNY / Only 3 Days Week 9 (29) Feb 26 th to Mar 2 nd Only 4 Days Week 10 (30) Mar 5 th to 9 th Week 11 (31) March 12 th to 16 th Week 12 (32) March 19 th to 23 rd Only 3 Days / Exams March 26 th to April 6 th Topic / Projects / Assessments CHAPTER7 DIFFERENTIAL EQUATIONS AND MATHEMATICAL MODELING 7.4 Exponential Growth and Decay CHAPTER7 DIFFERENTIAL EQUATIONS AND MATHEMATICAL MODELING 7.5 Logistic Growth Review Chapter7 CHAPTER8 APPLICATIONS OF DEFINITE INTEGRALS 8.1 Accumulation and Net Change CHAPTER8 APPLICATIONS OF DEFINITE INTEGRALS 8.2 Areas in the Plane CHAPTER8 APPLICATIONS OF DEFINITE INTEGRALS 8.3 Volumes CHAPTER8 APPLICATIONS OF DEFINITE INTEGRALS 8.4 Lengths of Curves CHAPTER8 APPLICATIONS OF DEFINITE INTEGRALS 8.5 Applications from Science and Statistics Review Chapter8 CHAPTER9 L HOSPITAL S RULE, IMPROPER INTEGRALS 9.2 L Hospital s Rule Wednesday No Class CHAPTER9 L HOSPITAL S RULE, IMPROPER INTEGRALS 9.2 L Hospital s Rule IOWA TESTS CHAPTER9 L HOSPITAL S RULE, IMPROPER INTEGRALS 9.4 Improper Integrals CHAPTER9 L HOSPITAL S RULE, IMPROPER INTEGRALS 9.4 Improper Integrals 3Q Review 3Q Exams Easter Break
4th QUARTER (44 days) TENTATIVE COURSE CONTENT (NB: Depending on time and interest, the teacher may delete and/or add other selections.) Week / Date Week 1 (33) Apr 9 th to 13 th Week 2 (34) Apr 16 th to 20 th Week 3 (35) Apr 23 rd to 27 th AP Exam Preparation AP Mock Exams AP Exam Preparation Topic / Projects / Assessments Week 4 (36) Apr 30 th to May 4 th Week 5 (37) May 7 th to 11 th Week 6 (38) May 14 th to 18 th Week 7 (39) May 21 st to 25 th Only 1 Day / Exams / Graduations Week 8 (40) May 28 th to June 1 st AP Exams & 4Q Exams for G12 AP Exams & 4Q Exams for G12 TBA TBA TBA