Period 4 B Day: Block 3: ???-??? C Day: Block 3: ???-??? Day AB C 1 B 2 C Date Thurs, July 30 Fri, July 31 ACE AP Calculus – AB Period 4 & 7: Semester 1 AB Cycle Assignment Guide Period 7 B Day: Block 5: ???-??? C Day: Block 5: ???-??? 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 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 Tues, August 4 3 B 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 B Fri, August 7 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 Mon, August 10 1.4 – Continuity Finding Constraints That Guarantee Continuity The Intermediate Value Theorem Q/A over 1.4 HW 7 B Weds, August 12 Quiz 3: Section 1.4 Thurs, August 13 Review Sections 1.2-1.4 8 C 9 B 10 C 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 Mon, August 17 Tues, August 18 2.1A (Day 1) – Definition of Derivative Tangent Line Problem Derivative at a Point Alternate Form of the Definition Worksheet HW 2.1A: “Definition of 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 11 B Thurs, August 20 2.1B (Day 2) – Differentiability Continuity and Differentiability (Informative) 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 Tues, August 25 14 C Weds, August 26 15 B Differentiation Rules & Rates of Change” 1-20 all Textbook HW 2.2: pp. 115-118: 4-68 multiples of 4 (omit: 20, 24, 64), 117 Quiz 4: Section 2.1 13 B Derivatives in Motion (Enrichment) Worksheet HW 2.2: “Basic Q/A over 2.2 HW 2.3 – Differentiation Techniques – I Product Rule Quotient Rule Higher Order Derivatives Worksheet HW 2.3: “Product Rule & 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 5: Section 2.2 Q/A over 2.3 HW Quiz 6: Section 2.3 Worksheet HW 2.4A: “The Chain 2.4A (Day 1) – Chain Rule Rule” 1-33 all Fri, August 28 Mon, August 31 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 16 C 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 Weds, September 2 17 B (1 Hour Delay Day) Q/A over 2.4B HW Quiz 7: Section 2.4 (Days 1 & 2) Review Unit 2 18 C Thu, September 3 19 B Tues, September 8 Unit 2 Exam: 2.1-2.4 2.5A (Day 1) – Straight Line Motion Worksheet HW 2.5A: “Straight Line Motion” 1-16 all 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 Mon, September 14 21 B 22 C 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) Tues, September 15 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 B 24 C Thurs, September 17 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 B 26 C Tues, September 22 Review Unit 3 Weds, September 23 Unit 3 Exam: 2.5-2.6 27 B Fri, September 25 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 B Review Packet: Unit 3 Weds, September 30 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 31 B Thurs, October 1 Q/A over 3.3 HW Further Discussion of Section 3.3 Worksheet HW 3.4: “Concavity & The 1 Hour Delay Quiz 13: Section 3.3 Mon, October 5 Second Derivative Test” 1-13 all 3.4 (Day 1) – Concavity Textbook HW 3.4: p. 195: 8-52 (multiples of 4) Q/A over 3.4 HW 3.4 (Day 2) – Second Derivative Test Review Packet: Unit 4 32 C Tues, October 6 33 B Thurs, October 8 Review Unit 4 34 C Fri, October 9 Unit 4 Exam: 3.1-3.4 Quiz 14: Sections 3.4 F A L L Enrichment Worksheet: “Inc/Dec/Concavity” B R E A K 3.5 – Limits at Infinity II Asymptotes Worksheet HW 3.5: “Asymptotes” Tues, October 27 Worksheet HW 3.6: “Curve Sketching & 36 C Weds, October 28 Q/A over 3.5 HW 3.6 – Curve Sketching & Function Analysis 37 B Fri, October 30 35 B 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 3.7 (Day 2) – Optimization - Economic Problems Review Packet: Unit 5 Thurs, November 5 39 B A R K L E A Q/A over 3.7 HW 40 C Fri, November 6 41 B Tues, November 10 Review Unit 5 Weds, November 11 42 C 43 B Quiz 16: Section 3.7 Fri, November 13 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 Notation” 1-23 all Textbook HW 4.2: pp. 267-268: 4-36 (multiples of 4) 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 Quiz 17: Section 4.2 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 Riemann Sums Weds, November 18 Q/A over 4.3/4.6 (Day 1) HW 4.3 (Day 2) – The Definite Integral as Area 45 B Thurs, November 19 47 B Mon, November 23 Unit 6 Exam: 4.2, 4.3 & 4.6 4.1 (Day 1) – Antidifferentiation Textbook HW 4.1: pp. 255-256: 4-40, (multiples of 4), 60, 64 4.1 (Day 2) – Antidifferentiation Mon, November 30 Worksheet HW 4.1: “Indefinite Integration” 1-30 all Tues, November 24 T H A N K S G I V I N G 49 B 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 48 C Worksheet HW 4.3 B: “The Definite B R E A K Tues, December 1 4.4 (Day 1) – Fundamental Theorem of Calculus - 50 C Thurs, December 3 Q/A over 4.4 (Day 1) HW 4.4 (Day 2) – Fundamental Theorem of Calculus - 51 B 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 Tues, December 8 53 B 54 C Weds, December 9 55 B Fri, December 11 56 C 57 B 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 Weds, December 16 ???? 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.