# Semester 1ap Calculus

## Ap Classroom

## Ap Calculus Semester 1 Final

AP Calculus AB - 1st SemesterUnit 1 - Limits and ContinuityWeek 0 Zoom Meetings on 8/12, 8/13, and 8/14 at 10:45 AM Meeting ID: 315 776 7806 Password: mryaton Video on Introduction to Limits (Due on 8/12) Introduction to Limits Self-Assessment (Due on 8/12) Video on Finding Limits Graphically (Due on 8/13) Finding Limits Graphically Self-Assessment (Due on 8/13) Week 1Video on Estimating Limits from Tables (Due on 8/16) Estimating Limits from Tables Self-Assessment(Due 8/16) Video on Finding Limits Algebraically(Due on 8/17) Finding Limits Algebraically Self-Assessment(Due 8/17) Associating Limits w/ Graphical Behavior (8/19 in class) Kuta - Limits at Removable Discontinuities (8/19 in class) Selecting Procedures for Evaluating Limits (8/20 in class) Kuta - Limits at Jump Discontinuities (8/20 in class) Week 1 - Unit 1 Limits Quiz (8/21)Week 2Video on Types of Discontinuities(Due on 8/23) Types of Discontinuities Self-Assessment (Due on 8/23) Video on Defining Continuity at a Point(Due on 8/24) Defining Continuity at a Point Self-Assessment(Due 8/24) Video on Continuity over an Interval(Due on 8/25) Continuity over an Interval Self-Assessment(Due 8/25) Continuity Practice Set (8/26 in class) Establishing Continuity for EVT and IVT (8/27 in class) Week 2 - Unit 1 - Limits Quiz (8/28)Week 3Limits at Infinity of Graphs Video (Due on 8/30) Limits at Infinity of Graphs Self-Assessment (Due on 8/30) Limits at Infinity of Quotients Video (Due on 8/31) Limits at Infinity of Quotients Self-Assessment (Due 8/31) Limits Practice Set 1 (9/1 in class) Intermediate Value Theorem Video (Due on 9/1) Intermediate Value Theorem Self-Assessment (Due 9/1) Unit 1 - Limits Test (9/4)Unit 2 - Differentiation: Definition and Basic Derivative RulesWeek 4Average Rate of Change Video (Due on 9/7) Average Rate of Change Self-Assessment (Due on 9/7) Estimating the Rate of Change Video (Due on 9/8) Estimating the Rate of Change Self-Assessment (Due 9/8) Instantaneous RoC Using Limits Video (Due 9/9) Instant. RoC Using Limits Self-Assessment (Due 9/9) Week 4 - Unit 2 - Differentiation Quiz (9/11)Week 5Defining the Derivative of a Function Video (Due on 9/13) Defining the Derivative Self-Assessment (Due on 9/13) Differentiability & Continuity Video (Due on 9/13) Differentiability & Continuity Self-Assessment (Due 9/13) Derivatives & the Power Rule Video (Due on 9/13) Derivatives & the Power Rule Self-Assessment (Due 9/13) Derivatives at a Point Video (Due on 9/14) Derivatives at a Point Self-Assessment (Due on 9/14) Manipulating Before Differentiating Video (Due on 9/15) Manip Before Differentiating Self-Assessment (Due 9/15) Derivatives of sin x, cos x, e^x, ln x Video (Due on 9/16) Deriv of sin x, cos x, e^x, ln x Self-Assessment (Due 9/16) Week 5 - Unit 2 - Differentiation Quiz (9/18)Week 6The Product Rule Video (Due on 9/20) The Product Rule Self-Assessment (Due on 9/20) The Quotient Rule Video (Due on 9/21) The Quotient Rule Self-Assessment(Due on 9/21) Differentiation Rules with Tables (9/23 in class) Going Off on a Tangent (9/24 in class) Week 6 - Unit 2 - Differentiation Quiz (9/25)Week 7Finding Derivatives of tan, cot, sec, cot Video (Due 9/27) Finding Deriv of tan, cot, sec, cot Self-Assess (Due 9/27) Unit 2 - Differentiation Test (10/2)Unit 3 - Differentiation: Composite, Implicit, and Inverse FunctionsWeek 8The Chain Rule Video (Due 10/4) The Chain Rule Self-Assessment (Due 10/4) The Chain Rule with Tables Video (Due 10/5) The Chain Rule with Tables Self-Assessment (Due 10/5) Implicit Differentiation Video (Due 10/6) Implicit Differentiation Self-Assessment(Due 10/6) Kuta Chain Rule Practice (10/6 in class) Kuta Chain Rule with Trig Practice (10/6 in class) Week 9Differentiating Inverse Functions Video (Due on 10/11) Differentiating Inverse Funct Self-Assessment (Due 10/11) Differentiating Inverse Trig Functions Video (Due 10/12) Differentiating Inverse Trig Self-Assessment (Due 10/12) Calculating Higher-Order Deriv Video (Due on 10/13) Calculating Higher-Order Deriv Self-Assess (Due 10/13) Implicit Differentiation Practice (10/13 in class) Unit 3 - Differentiation Test (10/16) Unit 4 - Contextual Applications of DifferentiationWeek 10Contextual Meaning of Derivatives Video (Due on 10/18) Contextual Meaning of Deriv Self-Assess (Due on 10/18) Straight-Line Motion Video (Due on 10/19) Straight-Line Motion Self-Assessment (Due on 10/19) Related Rates Video (Due on 10/20) Related Rates Self-Assessment (Due on 10/20) Week 11Local Linearity and Linearization Video (Due on 10/25) Local Linearity & Linearization Self-Assess (Due on 10/25) L'Hospital's Rule Video (Due on 10/26) L'Hospital's Rule Self-Assessment (Due on 10/26) Unit 4 - Contextual Applications Test (10/30)Unit 5 - Analytical Applications of DifferentiationWeek 12Mean Value Theorem Video (Due on 11/1) Mean Value Theorem Self-Assessment (Due on 11/1) Extreme Value Theorem Video (Due on 11/1) Extreme Value Theorem Self-Assessment (Due on 11/1) First Derivative Test Video (Due on 11/2) First Derivative Test Self-Assessment (Due on 11/2) Unit 5 - Analytical Applications Quiz (11/6)Week 13Second Derivative Test Video (Due on 11/8) Second Derivative Test Self-Assessment (Due on 11/8) Sketching Graphs and Their Derivatives Video (Due on 11/9) Sketching Graphs and Their Derivatives Self-Assessment (Due on 11/9) Week 14Optimization Problems Video (Due on 11/15) Optimization Problems Self-Assessment (Due on 11/15) Unit 5 - Analytical Applications Test (11/19)Thanksgiving BreakWeek 15 HW - 2018 AP Calculus AB MC (Due on 12/3)Week 15 Week 16Week 16 HW - 2019 AP Calculus AB MC (Due on 12/10) Week 17AP Calculus AB Midterm Christmas Break | Lifesize AP Calculus AB Meeting Code: 4918470AP Calculus AB Cheat Sheet AP Calculus AB - 2nd SemesterUnit 6 - Integration and the Accumulation of ChangeWeek 18 Accumulation of Change Video (Due on 1/4) Accumulation of Change Self-Assessment (Due on 1/4) Left & Right Riemann Sums Video (Due on 1/4) Left & Right Riemann Sums Self-Assessment (Due on 1/4) Midpoint & Trapezoidal Riemann Sums Video (Due on 1/5) Midpoint & Trapezoidal Sums Self-Assess (Due on 1/5) Unit 6 Integration Quiz (1/8)Week 19Integration Rules Video (Due on 1/10) Integration Rules Self-Assessment (Due on 1/10) Integration of Trig (& Other Functions) Video (Due 1/11) Int of Trig (& Other Funct) Self-Assessment (Due 1/11) Fundamental Theorem of Calculus Video (Due on 1/12) Fundamental Theorem Calc Self-Assessment (Due 1/12) Week 20Definite Integral as Limit of Riemann Sum Video (Due 1/18) Definite Integral as Limit of RS Self-Assess (Due 1/18) Definite Integral Video (Due on 1/18) Definite Integral Self-Assessment (Due on 1/18) Integration by u-substitution Video (Due on 1/19) Integration by u-substitution Self-Assessment (Due 1/19) Week 21Definite Integration using u-substitution Video (Due 1/24) Definite Int using u-substitution Self-Assess (Due 1/24) Unit 6 Integration Test (1/29)Unit 7 - Differential EquationsWeek 22 Writing Differential Equations Video (Due on 1/31) Writing Differential Eq Self-Assessment (Due on 1/31) Verifying Solutions of Diff Eq Video (Due on 2/1) Verifying Solutions to Diff Eq Self-Assessment (Due 2/1) Sketching Slope Fields Video (Due on 2/2) Sketching Slope Fields Self-Assessment (Due on 2/2) Unit 7 Differential Equations Quiz (2/5)Week 23Separable Differential Equations Video (Due on 2/7) Separable Differential Eq Self-Assessment (Due on 2/7) Finding Particular Solutions of Diff Eq Video (Due 2/8) Finding Particular Solutions Self-Assessment (Due 2/8) Unit 7 Differential Equations Quiz (2/12)Week 24Exponential Models with Diff Eq Video (Due 2/14) Exponential Models with Diff Eq Self-Assess (Due 2/14) Unit 7 Differential Equations Test (2/19)Unit 8 - Applications of IntegrationWeek 25 Average Value of a Function Video (Due on 2/21) Average Value of a Function Self-Assess (Due 2/21) Motion with Integration Video (Due on 2/22) Motion with Integration Self-Assess (Due 2/22) Integrals in Context Video (Due on 2/23) Integrals in Context Self-Assessment (Due on 2/23) Unit 8 Applications of Integration Quiz (2/26)Week 26Area Between a Curve and x-axis Video (Due on 2/28) Area Between a Curve and x-axis Self-Assessment (Due on 2/28) Area Between Two Curves Video (Due 3/1) Area Between Two Curves Self-Assessment (Due 3/1) Horizontal Area Between Curves (Due 3/2) Horizontal Area Between Curves Self-Assessment (Due 3/2) Unit 8 Applications of Integration Quiz (3/5)Week 27Volume by Disc Method Video (Due on 3/7) Volume by Disc Method Self-Assess (Due on 3/7) Volume by Washer Method Video (Due on 3/8) Volume by Washer Method Self-Assess (Due on 3/8) Volume Around Other Axes Video (Due on 3/9) Volume Around Other Axes Self-Assess (Due on 3/9) Unit 8 Applications of Integration Quiz (3/12)Spring BreakWeek 28Volumes with Cross-Sections (Squares and Rectangles) Video (Due on 3/22) Volumes with Cross-Sections (Squares and Rectangles) Self-Assess (Due on 3/22) Volumes with Cross-Sections (Triangles and Semicircles) Video (Due on 3/23) Volumes with Cross-Sections (Triangles and Semicircles) Self-Assess (Due on 3/23) Unit 8 Applications of Integration Test (3/26)AP Calculus AB ReviewUnit 1 Review - Limits and Continuity Unit 2 Review - Differentiation: Definition and Basic Derivative Rules Unit 3 Review - Differentiation: Composite, Implicit, and Inverse Functions Unit 4 Review - Contextual Applications of Differentiation Unit 5 Review - Analytical Apps of Differentiation Unit 5 Calculus Review Video Unit 5 Calculus Sample AP Problems Video Unit 6 Review - Integration & Accum of Change Unit 6 Calculus Review Video Unit 6 Calculus Sample AP Problems Video Unit 7 Review - Differential Equations Unit 7 Calculus Review & Sample AP Problems Video Unit 8 Review - Applications of Integration Unit 8 Calculus Review & Sample AP Problems Video 2019 AP Calculus AB #1 (15 min) 2019 AP Calculus AB #1 Video 2019 AP Calculus AB #2 (15 min) 2019 AP Calculus AB #2 Video 2019 AP Calculus AB #3 (15 min) 2019 AP Calculus AB #3 Video 2019 AP Calculus AB #4 (15 min) 2019 AP Calculus AB #4 Video 2019 AP Calculus AB #6 (15 min) 2019 AP Calculus AB #6 Video |

AP Calculus AB First Semester Final Exam Practice Test Content covers chapters 1-3 Name: Date: Period: This is a big tamale review for the final exam. Of the 69 questions on this review, 25 questions will be on the final exam. Semester 1 is offered only during the fall term. Calculus is the mathematics of change. It is used to solve complex problems that are continuously evolving and would otherwise be unsolvable with only algebra and geometry. This online advanced placement course is designed to prepare students to become deep mathematical thinkers. 1st Semester AP Calculus AB Final Exam Topics 45 Multiple Choice Questions total: 28 Non-Calculator 17 Calculator Limits- 2 Questions Limits of Piecewise functions at the changing point Strategies for finding limits: o BOBOBOTN EATS DC (rational functions) o Try to factor, cancel, and then substitute. . Semester Wrap-Up (Review and Exam) seMester two unit 1: the integral and the Fundamental theorem of Calculus This unit focuses on Topic III: Integrals in the College Board’s Calculus AB topic outline. Students learn numerical approximations to definite integrals, interpretations and properties of definite integrals, the Fundamental Theorem of.