Period 3 A Day: Block 3: ???-??? C Day: Block 4: ???-??? Day AB C Date 1 A Weds, July 29 2 C Fri, July 31 ACE AP Calculus – AB Period 3 & 5: Semester 1 AC Cycle Assignment Guide Topic / Activity Course Description Handout Distribute Books/TI-Nspire Calculators Introduction to Navigator 1.2A (Day 1) – Finding Limits: Graphically One-Sided Limits Limits at Infinity Period 5 A Day: Block 2: ???-??? C Day: Block 4: ???-??? Assignment * Finish Topic U from Summer Packet Class Procedures (Homework) What Is Calculus? (Informative) Limits Enrichment (Enrichment) Worksheet HW 1.2A: “Graphical Approach to Limits” 1-18 all Textbook HW 1.2A: p. 54: 2, 4, 8, 10-28 even Mon, August 3 3 A Q/A over 1.2A HW 1.2B (Day 2) – Delta-Epsilon Definition of a Limit Epsilon-Delta Challenge (Informative) Worksheet HW 1.2B: “The EpsilonDelta Definition of Limits” 1-10 all Textbook HW 1.2B: p. 57: 36-54 Even (Use TI-Nspire for #’s 38, 42, 50 & 54) Let ε=0.01 for #’s 50 & 54 4 C Weds, August 5 (1 Hour Delay Day) Worksheet HW 1.3: “Finding Limits Q/A over 1.2B HW Algebraically” Quiz 1: Section 1.2 – Day 1 1.3 (Day 1) – Finding Limits: Algebraically 1-43 all Textbook HW 1.3: p. 67: 4, 20, 22, 28-64 multiples of 4 Q/A over 1.3 (Day 1) HW 5 A Thu, August 6 1.3 (Day 2) – Finding Limits: Algebraically Q/A over 1.3 (Day 2) HW Quiz 2: Section 1.3 – Days 1 & 2 6 C 7 A 8 C Mon, August 10 1.4 – Continuity Finding Constraints That Guarantee Continuity The Intermediate Value Theorem Q/A over 1.4 HW Tues, August 11 Quiz 3: Section 1.4 Thurs, August 13 Review Sections 1.2-1.4 Worksheet HW 1.4: “Continuity & The Intermediate Value Theorem” 1-9 all Textbook HW 1.4: pp. 79-80: 36-60 multiples of 4, 66, 68, 112 Review Packet: Unit 1 Evening Review Session: Thursday, 8/13: ALC 115 5:30 pm - 6:30 pm Unit 1 Exam: 1.2-1.4 9 A 10 C 11 A Fri, August 14 Tues, August 18 2.1A (Day 1) – Definition of Derivative Tangent Line Problem Derivative at a Point Alternate Form of the Definition Derivative” 1-12 all Textbook HW 2.1A: p. 104: 8-36 multiples of 4, 39-42 all Graph of the Derivative (Informative) Q/A over 2.1A HW Weds, August 19 Worksheet HW 2.1A: “Definition of Continuity and Differentiability (Informative) 2.1B (Day 2) – Differentiability Worksheet 2.1B: “Differentiability” 1-4 all 12 C Fri, August 21 Q/A over 2.1B HW 2.2 – Basic Derivative Rules Power Rule Rates of Change Mon, August 24 14 C Weds, August 26 15 A Q/A over 2.2 HW 2.3 – Differentiation Techniques – I Product Rule Quotient Rule Higher Order Derivatives Quotient Rule & Higher Order Derivatives” 1-29 all Textbook HW 2.3: pp. 126-127: 4-36 multiples of 4 (omit 12), 55, 56, 64, 70, 74, 82, 96, 102, 106, 108 Quiz 6: Section 2.3 Worksheet HW 2.4A: “The Chain 2.4A (Day 1) – Chain Rule Rule” 1-33 all Tues, September 1 Textbook HW 2.4A: pp. 137-139: 8-36 (multiples of 4), 68, 72, 76, 85, 94, 98, 110 Q/A over 2.4A HW 2.4B (Day 2) – Differentiation of Trigonometric Functions Q/A over 2.4B HW Worksheet HW 2.4B: “Differentiation of Trigonometric Functions & Nested Product/Quotient/Chain Rules” 1-23 all Textbook HW 2.4B: pp. 126-128: 40-54 even, 60, 68, 100; pp. 137-138: 46-66 even Review Packet: Unit 2 Quiz 7: Section 2.4 (Days 1 & 2) Review Unit 2 Thu, September 3 Unit 2 Exam: 2.1-2.4 2.5A (Day 1) – Straight Line Motion 19 A Worksheet HW 2.3: “Product Rule & Q/A over 2.3 HW Thurs, August 27 16 C 18 C 1-20 all Quiz 5: Section 2.2 Mon, August 31 17 A Differentiation Rules & Rates of Change” Textbook HW 2.2: pp. 115-118: 4-68 multiples of 4 (omit: 20, 24, 64), 117 Quiz 4: Section 2.1 13 A Derivatives in Motion (Enrichment) Worksheet HW 2.2: “Basic Worksheet HW 2.5A: “Straight Line Motion” 1-16 all Fri, September 4 There is no Textbook HW for 2.5A Q/A over 2.5A HW 2.5B (Day 2) – Implicit Differentiation 20 C Thurs, September 10 Fri, September 11 21 A Tues, September 15 Differentiation” 1-15 all Textbook HW 2.5B: pp. 146-147: 4-40 (multiples of 4), 48, 52, 54 Quiz 8: Section 2.5A (Day 1 only) Worksheet HW 2.6: “Related Rates” Q/A over 2.5B HW 2.6 (Day 1) – Related Rates: Introduction, Areas, Volumes 1-25 all Quiz 9: Section 2.5B (Day 2 only) 22 C Worksheet HW 2.5B: “Implicit Q/A over 2.6 HW (Worksheet 1-5) 2.6 (Day 2) – Related Rates: Right Triangles Volumes of Cones Textbook HW 2.6: pp. 154-157: 4-32 (multiples of 4), 23, 34, 42, 44, 46, 23 A 24 C Weds, September 16 Q/A over 2.6 HW (Worksheet 6-19) 2.6 (Day 3) – Related Rates: Trigonometric Problems, Shadow Problems Fri, September 18 Q/A over 2.6 HW (Worksheet 20-25) Quiz 10: Section 2.6 25 A 26 C Mon, September 21 Review Unit 3 Weds, September 23 Unit 3 Exam: 2.5-2.6 27 A Thurs, September 24 Worksheet HW 3.1: “Extrema on a Closed Interval” 1-10 all Textbook HW 3.1: pp. 169-170: 3.1 – Extrema on an Interval 12-36 (multiples of 4) Mon, September 28 28 C 29 A Review Packet: Unit 3 Tues, September 29 Q/A over 3.1 HW 3.2 – Rolle’s Theorem Mean Value Theorem Worksheet HW 3.2: “Rolle’s and The Quiz 11: Section 3.1 Enrichment Worksheet: “Mean Value Theorem” Worksheet HW 3.3: “Increasing and Mean Value Theorem” 1-18 all Textbook HW 3.2: pp. 176-177: 12-28 (multiples of 4), 40-52 (multiples of 4), 60, 62 Q/A over 3.2 HW 3.3 – Increasing and Decreasing First Derivative Test Decreasing Functions & The First Derivative Test” 1-13 all Textbook HW 3.3: p. 186: 20-48 (multiples of 4) Quiz 12: Section 3.2 30 C Thurs, October 1 Q/A over 3.3 HW Further Discussion of Section 3.3 Quiz 13: Section 3.3 Worksheet HW 3.4: “Concavity & The Fri, October 2 3.4 (Day 1) – Concavity Second Derivative Test” 1-13 all 32 C Tues, October 6 Q/A over 3.4 HW 3.4 (Day 2) – Second Derivative Test 33 A Weds, October 7 1 Hour Delay Day Quiz 14: Sections 3.4 34 C Fri, October 9 31 A Textbook HW 3.4: p. 195: 8-52 (multiples of 4) Review Packet: Unit 4 Enrichment Worksheet: “Inc/Dec/Concavity” Review Unit 4 F Unit 4 Exam: 3.1-3.4 A L L B R E A K 35 A 3.5 – Limits at Infinity II Asymptotes Worksheet HW 3.5: “Asymptotes” Mon, October 26 36 C Q/A over 3.5 HW 3.6 – Curve Sketching & Function Analysis Worksheet HW 3.6: “Curve Sketching & Weds, October 28 37 A Thurs, October 29 1-13 all (There is no Textbook HW for 3.5) Function Analysis” 1-7 all (There is no Textbook HW for 3.6) Quiz 15: Sections 3.5 Further Discussion of Section 3.6 Note: There is no quiz covering Section 3.6 Worksheet HW 3.7: “Optimization” 3.7 (Day 1) – Optimization 1-17 all Mon, November 2 Textbook HW 3.7: pp. 223-225: 2bc, 8, 18, 22, 26, 40, 42, 60 38 C 1 Hour Delay Day 3.7 (Day 2) – Optimization - Economic Problems 39 A Review Packet: Unit 5 A R K Weds, November 4 L E A Q/A over 3.7 HW 40 C Fri, November 6 41 A Mon, November 9 Review Unit 5 Weds, November 11 42 C 43 A Quiz 16: Section 3.7 Thurs, November 12 Mon, November 16 44 C Unit 5 Exam: 3.5-3.7 4.2 (Day 1) – Area - Sigma Notation - Finding Area Under a Curve Using Rectangles (Upper and Lower Sums) - Left Endpoint, Right Endpoint Worksheet HW 4.2 A: “Area – Sigma Q/A over 4.2 (Day 1) HW 4.2 (Day 2) – Area - Finding The Exact Area Under a Curve Using The Limit Process Worksheet HW 4.2 B: “Area – The Q/A over 4.2 (Day 2) HW 4.3/4.6 (Day 1) – Riemann Sums - Midpoint and Trapezoidal Sums - Review of Left Endpoint and Right Endpoint Notation” 1-23 all Textbook HW 4.2: pp. 267-268: 4-36 (multiples of 4) Limit Process” 1-11 all Textbook HW 4.2 (cont’d): pp. 268-269: 48, 52, 54, 60, 64 Worksheet HW 4.3/4.6 A: “Riemann Sums” 1-8 all Textbook HW 4.3/4.6: p. 268: 74, 76 p. 316: 4-20 (multiples of 4) Don’t do Simpson’s Rule Quiz 17: Section 4.2 Riemann Sums Tues, November 17 Q/A over 4.3/4.6 (Day 1) HW 4.3 (Day 2) – The Definite Integral as Area 45 A Integral as Area” 1-34 all Textbook HW 4.3/4.6 (cont’d): pp. 278-279: 12-52 (multiples of 4) Review Packet: Unit 6 Quiz 18: Section 4.3/4.6 46 C Thurs, November 19 47 A Fri, November 20 Unit 6 Exam: 4.2, 4.3 & 4.6 4.1 (Day 1) – Antidifferentiation 48 C Worksheet HW 4.3 B: “The Definite Worksheet HW 4.1: “Indefinite Integration” 1-30 all Tues, November 24 Textbook HW 4.1: pp. 255-256: 4-40, (multiples of 4), 60, 64 4.1 (Day 2) – Antidifferentiation 49 A Weds, November 25 T H A N K S G I V I N G B R E A K Tues, December 1 4.4 (Day 1) – Fundamental Theorem of Calculus - 50 C Weds, December 2 51 A 1 Hour Delay Day Q/A over 4.4 (Day 1) HW 4.4 (Day 2) – Fundamental Theorem of Calculus - Fri, December 4 1st Fundamental Theorem Mean Value Theorem for Integrals Average Value of a Function 2nd Fundamental Theorem Area as an Accumulater Q/A over 4.4 (Day 2) HW 4.5 (Day 1) – Integration By U-Substitution - Basic U-Substitution Worksheet HW 4.4 A: The Fundamental Theorem of Calculus 1-19 all Textbook HW 4.4 A: p. 293: 8-48 (multiples of 4) CML – Meet 1 Practice Tests 2013, 2012, 2011, 2010 (Due: Day 57) Worksheet HW 4.4 B: “Average Value of a Function, 2nd Fund. Theorem of Calculus and The Accumulation Function” 1-10 all Textbook HW 4.4 B: pp. 293-295: 52-58 even, 59, 60, 62, 66, 76-92 even Worksheet HW 4.5 A: “Integration by U-Substitution” 1-22 all Textbook HW 4.5: pp. 306-307: 440 (multiples of 4), 48-64 (multiples of 4), 68-74 even, 76-84 (multiples of 4) 52 C * Problems 68 and up reflect 4.5 B material Mon, December 7 53 A 54 C Weds, December 9 55 A Thurs, December 10 56 C 57 A 58 59 Quiz 20: Section 4.4 Worksheet HW 4.5 B: “Definite Q/A over 4.5 (Day 1) HW 4.5 (Day 2) – Integration By U-Substitution - Definite Integration with U-Substitution - Change of Variable Method Integration with U-Substitution & Change of Variable Method” 1-23 all Q/A over 4.5 (Day 2) HW Review Packet: Unit 7 Quiz 21: Section 4.5 Review Unit 7 Unit 7 Exam: 4.4 - 4.5 Mon, December 14 CML: Meet 1 Tues, December 15 ???? Review for Final Exam ???? Final Exam ** * Assignments may change slightly. A few Enrichment Activities may be added as needed. ** The exact date of the Final Exam will be determined later in the semester TI-Nspire Activity Key (Homework) Activity will be graded in the Homework Category (Enrichment) Activity will be graded in the Enrichment Category (Informative) Activity will not be graded, but is strongly recommended that you spend time with it.