Per 2 - A: Block 2: 9:16-10:36 Day ABC ACE AP Calculus – AB Period 2: Semester 1 AB Cycle Assignment Guide Date Wednesday, July 31 1 2 3 Finish Basic Graphs (last page) from Summer Packet 1-22 Basic Graphs Sheet, Why Calculus? 1.2 – Limits: Graphically & Numerically Textbook: p. 54: 1, 3, 7, 8, 9-27 odd What Is Calculus? Thursday, August 1 Finish 1.2 1.3 – Limits: Analytically Textbook: p. 67: 3, 19, 21, 27-79 odd Worksheet: Finding Limits Analytically 1-27 all Monday, August 5 Quiz 1: Section 1.2 A B A B 6 7 8 A B A Friday, August 9 Quiz 2: Section 1.3 Textbook: p. 80: 63-67 all, 112 Worksheet: Continuity and Differentiability 1-7 all Intermediate Value Theorem 1.5: Limits at Infinity, Vertical Asymptotes 1.2 (Revisited): Delta-Epsilon (δ-ε) Definition of Limit Quiz 3: Section 1.4 Textbook: p. 80: 91, 93 p. 88: 19, 24, 25, 29, 33, 39, 41, 43, 55 p. 56: 39, 40, 43-46 Epsilon-Delta Challenge Limits Enrichment Review Unit 1 Unit 1 Exam: 1.2-1.5 Wednesday, August 14 2.1: Definition of Derivative: Tangent Line Problem B Textbook: p. 103: 1, 4, 7, 18-24 all, 37, 39-42 all, 45-52 all Derivative Function Sign of the Derivative A 2.1: Definition of Derivative: Derivative at a Point, Differentiability and Continuity Textbook: p. 106: 73-81 odd, 89-92 all, 94, 96, 97 Differentiability and Continuity Worksheet: Continuity and Differentiability 8-11 all Monday, August 19 10 B Wednesday, August 21 11 A Evaluating Limits Graphically Textbook: p. 78: 1-5 odd, 11-19 odd, 39-53 odd, 59 Worksheet: Graphical Approach to Limits 1-18 all Tuesday, August 13 Friday, August 16 9 Class Procedures 1.4: Continuity: Continuity at a Point, One Sided Limits 1.4: Continuity: Finding Constraints That Guarantee Continuity Thursday, August 8 5 Assignment * Course Description Distribute Books and TI-Nspire Calculators Tuesday, August 6 4 Topic / Activity Per 2 - B: Block 1: 8:00-9:10 2.2: Basic Derivative Rules: Power Rule, Derivative of Sine and Cosine Textbook: p. 115: 5, 7, 9, 13, 19, 21, 23, 31, 35, 37, 41, 43, 47, 49, 51, 53, 57, 59, 63, 65, 66 Worksheet: Techniques of Differentiation 1-15 all 2.2: Basic Derivative Rules: Rates of Change, Position & Velocity Textbook: p. 117: 93, 95, 97-100 all, 117, 118 Quiz 4: Section 2.1 Thursday, August 22 2.3: Product Rule Quotient Rule Higher Order Derivatives 12 B 13 A Quiz 5: Section 2.2 Monday, August 26 Finish 2.3 Worksheet: Techniques of Differentiation 16-40 all Tuesday, August 27 Quiz 6: Section 2.3 Textbook: p. 137: 9, 13, 17, 21, 29, 31, 33, 45-65 odd, 75, 79, 91, 94, 109, 110, 120, 123, 124, 125 Worksheet: Differentiation by the Chain Rule - 1-37 all Worksheet: Differentiation of Trigonometric Functions 1-18 all 2.4: Chain Rule 14 B Friday, September 30 Quiz 7: Section 2.4 Finish 2.4 Review Unit 2 15 A 16 B Tuesday, September 3 Unit 2 Exam: 2.1-2.4 Worksheet: Straight Line Motion 1-13 all Thursday, September 5 2.5: Implicit Differentiation Textbook: p. 142: 1, 5, 11, 13, 15, 21, 26- 28 all, 32, 39, 45, 47, 49, 5659 all, 61 17 A Worksheet: Implicit Differentiation 1-15 all Friday, September 6 2.6: Related Rates: Introduction, Areas, Volumes Textbook: p. 154: 1-7 odd, 11-16 all, 18, 19 Worksheet: Related Rates 1-27 all [Due Tuesday, September 18] Tuesday, September 10 Quiz 8: Sections 2.5-2.6 Textbook: p. 154: 20-26 all 18 B 2.6: Related Rates: More Volumes, Right Triangles 19 A 20 B Wednesday, September 11 2.6: Related Rates: Right Triangles, Shadow Problems Textbook: p. 154: 27-34 all Friday, September 13 Quiz 9: Sections 2.6 Textbook: p. 154: 42-45 all 2.6: Related Rates: Angular Rates of Change 21 A 22 B 23 A Textbook: p. 126: 1-17 odd, 39-45 odd, 51, 53, 69, 70, 74, 75, 81, 82, 97, 103, 105-108 all, 118, 119 Monday, September 16 Review Unit 3 Wednesday, September 18 Unit 3 Exam: 2.5-2.6 Thursday, September 19 3.1: Extrema on an Interval 24 B Textbook: p. 169: 17, 19, 23, 27, 29, 33, 36, 41-43 all, 57-60 all Worksheet: Finding Absolute Max’s and Min’s - 1-10 all Monday, September 23 25 A Quiz 10: Sections 3.1 3.2: Rolle’s Theorem Mean Value Theorem Textbook: p. 172: 5, 11, 15, 17, 19, 27, 29, 39, 43, 46 Worksheet: Rolle’s and The Mean Value Theorem 1-18 all Tuesday, September 24 Quiz 11: Sections 3.2 Enrichment Worksheet: “Mean Value Theorem” Thursday, September 26 3.3: Increasing and Decreasing First Derivative Test Textbook: p. 186: 1, 5, 7, 11, 15, 23, 27, 29, 37, 39, 41, 78, 87 Friday, September 27 3.3: Increasing and Decreasing First Derivative Test 26 B 27 A 28 B 29 A Quiz 12: Sections 3.3 Tuesday, October 1 3.4: Concavity Second Derivative Test Wednesday, October 2 3.4 Concavity (continued) Review Unit 4 30 B 31 A 3.2: Rolle’s Theorem Mean Value Theorem Quiz 13: Sections 3.4 Textbook: p. 195: 7, 11, 15, 25, 27, 35, 45, 49, 51, 65, 67 Enrichment Worksheet: “Inc/Dec/Concavity” Friday, October 4 Unit 4 Exam: 3.1-3.4 Monday, October 7 3.5: Limits at Infinity Textbook: p. 199: 15, 17, 19-37 odd, 61, 65, 89, 91 Worksheet: Finding Limits Analytically 28-39 all Wednesday, October 9 Quiz 14: Sections 3.5 3.6: Curve Sketching Textbook: p. 215: 9, 19, 27, 31, 37, 40 Worksheet: Function Analysis 1-5 all 1-Hour Delay Textbook: p. 223: 9, 11, 13, 17, 18, 21, 22 32 B 33 A Thursday, October 10 3.7: Optimization 34 B FALL BREAK 35 A Monday, October 28 3.7: Optimization Textbook: p. 224: 23, 25, 26, 27, 29, 31 Tuesday, October 29 Quiz 15: Sections 3.6 Textbook: p. 225: 32, 33, 39, 40, 42, 54, 59, 60 Worksheet: Optimization Problems 1-14 all 3.7: Optimization 36 B 37 A 38 B Review Unit 5 Friday, November 1 Unit 5 Exam: 3.5-3.7 Tuesday, November 5 4.1: Indefinite Integrals Textbook: p. 255: 15-43 odd Worksheet: Indefinite Integration 1-28 all Wednesday, November 6 4.1: Indefinite Integrals Textbook: p. 256: 45-65 odd, 71, 73-76 all Friday, November 8 Quiz 16: Sections 4.1 Textbook: p. 267: 3, 9-13 odd, 21, 27-35 odd, 41, 43 Worksheet: Sigma Notation 39 A 40 B 41 A Worksheet: Economic Function Analysis 1-10 all Thursday, October 31 4.2: Area and Riemann Sums 1-18 all Monday, November 11 4.2: Area and Riemann Sums Textbook: p. 268: 37, 39, 49-53 odd, 57-63 odd, 73-76 all Worksheet: Finding the Exact Area Under a Curve 1-5 all Wednesday, November 13 Quiz 17: Sections 4.2 Textbook: p. 278: 13-22 all, 27-31 odd 42 B 4.3: Area and Riemann Sums 43 A Thursday, November 14 4.3: Area and Riemann Sums Textbook: p. 278: 33-47 odd Worksheet: The Definite Integral As Area 1-34 all Monday, November 18 Quiz 18: Sections 4.3 Textbook: p. 293: 13, 17, 21, 25, 31, 36, 37-55 odd Worksheet: The Fundamental Theorem of Calculus 1-15 all 44 B 4.4: Fundamental Theorem of Calculus: 45 A Fundamental Theorem Mean Value Theorem for Integrals Tuesday, November 19 4.4: Fundamental Theorem of Calculus: Second Fundamental Theorem Average Value of A Function Textbook: p. 293: 57, 59, 62, 66, 67-73 odd, 81-91 odd, 99, 101, 106, 111 Worksheet: Definite Integration with uSubstitution 1-12 all Worksheet: Average Value of a Function and 2nd Fund. Thm 1-7 all Thursday, November 21 Quiz 19: Sections 4.4 Review Unit 6 Worksheet: The Accumulation Function 1-7 all Friday, November 22 Unit 6 Exam: 4.1-4.4 Enrichment Worksheets: “Practice CML: Meet 1” 2009,2010,2011,2012 Tuesday, November 26 4.5: Integration by Substitution Textbook: p. 306: 11, 15, 19, 23, 27-41 odd Worksheet: u-Substitution 1-22 all Wednesday, November 27 4.5: Integration by Substitution (continued) Textbook: p. 306: 47-71 odd, 75, 79, 83, 89, 103-108 all, 123 Worksheet: Straight Line Motion Revisited 1-5 all 46 B 47 A 48 B 49 A 50 B 51 A Tuesday, December 3 Wednesday, December 4 54 B 55 A Quiz 20: Sections 4.5 4.6: Numerical Integration 52 B 53 A THANKSGIVING BREAK CML: Meet 1 Friday, December 6 4.6: Numerical Integration Monday, December 9 Quiz 21: Sections 4.6 Review Unit 7 Wednesday, December 11 Unit 7 Exam: 4.5-4.6 Textbook: p. 316: 5, 7, 13, 15, 19, 20 Worksheet: Riemann Sums 1-8 all Textbook: p. 316: 23-33 odd, 39, 46, 53 56 B 57 58 59 Thursday, December 12 Review for Final Exam Monday, December 16 Review for Final Exam Wednesday, December 18 Review for Final Exam Friday, December 20 FINAL EXAM ** * Assignments may change slightly. Several Enrichment Activities will be added ** The exact date of the Final Exam will be determined later in the semester