AUGUST 6 8 Limits graphically, one-sided limits, twosided limits,; limits that don t exist HW Graphical approach to limits limits Using limits to find asymptotes, inc/dec of functions Limits Polynomials, radicals, rationals, trigonometric, piecewise, exponential, logarithmic; limits that don t exist; properties of limits; sandwich theorem HW - 6 limits of more complicated functions Sandwich theorem 0 limits using tables 7 Review for test Rules, Syllabus, Books and Introductions Summer Assignment Definition of continuity building a bridge; discontinuities; using limits to find asymptotes of functions; Continue finding limits 8 TEST Limits and continuity Review 8 functions: domain, range, asymptotes, continuity, end behavior written as limits; Limit Existence Theorem; Limits - graphically 2 QUIZ limits graphically and limits ; Rates of change, tangent lines; Definition of the derivative 22 Using the definition of the derivative. 2 Determining differentiability of functions. HW AP type Multiple choice problems Problem Book p. 2 and 2 Techniques of differentiation: power, sum, product, quotient rules. Equations of the tangent and normal. 0 Functions that are not differentiable; local linearity; horizontal and vertical tangents HW Review of derivatives 2 Techniques of differentiation: power, sum, product, quotient rules. Equations of the tangent and normal. Review 2 Equations of tangent lines, normal lines and horizontal lines; nondifferentiability HW study for quiz QUIZ finding derivatives using the definition as well as the rules Finding derivatives using tables.
SEPTEMBER 6 LABOR DAY holiday 2 Curve sketching and particle graphs Determining position, velocity and speed using first and second derivatives. Comparing function analysis to particle problems. AP type FRQs covering function FRQs 6 Finding horizontal tangents: graphically & ; increase/decrease of functions ; limits review Particle functions and graphs Finding distance and displacement using derivatives. 27 AP type FRQs covering function HW review sheet 7 LA Essay Review derivative tables; Using derivatives to sketch functions: inc/dec and min/max HW: finish Review of function sketching, particle HW review sheet 2 Instantaneous rate of change, along a line, speed, acceleration, free-fall constants HW study for quiz 28 SS Essay Review of function, derivatives from tables, IVT, EVT OCTOBER 6 TEST 2 - Derivatives 8 Using derivatives to sketch functions: continue working with inc/dec and min/max; horizontal tangents and nondifferentiability Review of limits, continuity, differentiability for benchmark 22 QUIZ Intermediate Value Theorem and Extreme Value Theorem 2 TEST Function Analysis/Particle Motion 2,2,, Using derivatives to sketch functions: second derivatives and concavity HW: finish 6 MATH BENCHMARK 2 7,6,, HOMECOMING Intermediate Value Theorem, Extreme Value Theorem, Mean Value Theorem for Derivatives 0 Derivatives of transcendental functions Sci Essay 0 HOLIDAY 2,2,, 6 7 STUDENT HOLIDAY 7,6,, 7 8 PSAT/COLLEGE & TEST Exp/Logs/Abs 2
CAREER FAIR 2 2 ESSAY MATH Val/Inverse ; EVT, MVT, Derivatives and Limits, L Hospital 27 28 NOVEMBER 6 2 7 8 0 ESSAY ELECTIVES TEST Trig limits and derivatives 6 7 8 2 22 2 2 2 THANKSGIVING BREAK 28 2 0 DECEMBER 6 2 6 TEST Optimization, Related Rates 2 7 TH EXAM 7 8 ST, 2 ND EXAM END OF FIRST SEMESTER RD, TH EXAM 6 TH, 6 TH EXAM JANUARY 7 First day back 6 0 2 6 MLK Holiday 7 8 TEST Indefinite Integrals, Sums 2 2 2 ESSAY ENGLISH 0 27 FEBRUARY 7
6 7 TEST Definite Integrals, Area, Accumulation WINTER BREAK 27 28 ESSAY SOCIAL STUDIES 2 8 0 6 7 2 22 2 MARCH 7 6 7 TEST - Volume STUDENT HOLIDAY 2 2 ESSAY SCIENCE 8 0 6,2,, 2 22 ESSAY MATH 27 28 2 TEST Part : MVT, Average Value, DEQs, Slope Fields, Exponential Growth/Decay APRIL 7 2 2 0 TEST Part 2: MVT, Average Value, DEQs, Slope Fields 7 7,6,, SPRING BREAK 6 7 0 2 7 8 2 2 2 ESSAY ELECTIVES 27 Practice Exam Multiple Choice 28 Practice Exam Free Response Questions MAY 7 AP Chemistry, AP Environmental, AP Psychology 2 AP Spanish AP English Literature AP Government AP US History, AP Studio Art
8 0 2 AP Biology AP Calculus AP English Language, AP Macroeconomics AP World History, AP Statistics AP Human Geography 6 7 8 22 2 7 TH EXAM 2 ST, 2 ND EXAM 2 RD, TH EXAM TH, 6 TH EXAM END OF SEMESTER