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• Summer Work Directions
• No summer work for the this school year.
• A Graphing Calculator is required for this course. A TI-83 is recommended.

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Quarter 1

Chapter 1

Topics: Limits

 Lesson Topic Documents Video 121 Limit Basics PDF 131 Limits with Infinitely Close Values PDF 132 Limits and Algebra PDF 133 One Sided Limits PDF 134 Squeeze Theorem PDF Quiz 1 Practice PDF youtube 141 Continuity PDF 142 Intermediate Value Theorem PDF 143 Removable Discontinuities PDF 151 Limits with Infinite Outputs - graphical and tabular analysis PDF 152 Limits with Infinite Outputs - function analysis PDF 153 Limits with Infinite Inputs PDF 154 Limits with Infinite Inputs - function analysis PDF Quiz 2 Practice PDF youtube 201 Derivative as Approximate Rate of Change PDF 202 Turning Approxiate Rate of Change into Instantaneous Rate of Change PDF Quiz 3 Practice PDF youtube 211 Features of Derivative graphs PDF 212 Formal Definition of a Derivative (Difference Quotient) PDF 213 When is a function differentiable PDF Quiz 4 Practice PDF youtube link Extra Resource - Discovery of Calculus Video youtube link

Chapter 2

Topics: Derivative Rules and Related Rates [sections 2-2 to 2-6]

 Lesson Topic Documents Video 221 Power Rule PDF 222 Power Rule with Algebra, Sine, Cosine PDF 223 More Practice PDF 224 Relating the derivative to physics PDF 225 Physics and unit analysis PDF 231 Product Rule PDF 232 Quotient Rule PDF 233 Combinations of Rules PDF 234 Physics and Unit Analysis PDF 235 AP Style Questions PDF 241 Chain Rule PDF 242 Chain Rule with Trigonometry PDF 243 Rewriting equations (Algebra) to use the Chain Rule PDF 244 AP Style Questions PDF Quiz 5 Practice PDF youtube link 251 Implicit Differentiation PDF 252 Implicit Differentiation Day 2 PDF 253 AP Style Questions PDF 254 Second Derivatives using Implicit Differentiation PDF 261 Beginning Related Rates PDF 262 Related Rates PDF Common Related Rate Formulas (Quick Quiz) PDF 263 Related Rates - Trigonometry and Proportion Questions PDF 264 AP Style Questions PDF Quiz 6 Practice PDF youtube link Derivative Reference Sheet PDF

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Quarter 2

Chapter 3

Topics: Applications of Derivatives

 Lesson Topic Documents Video 311 Critical Points PDF 312 Extreme Value Theorem PDF 321 Mean Value Theorem PDF 331 First Derivative Test with intervals of increasing/decreasing PDF 332 More Practice PDF 333 AP Style Questions PDF 341 Intervals of Concavity PDF 342 Second Derivative Test PDF 343 AP Style Questions PDF 351 Curve Sketching PDF Quiz 7 Practice PDF youtube link

Exam 2 Review - Use Quiz Reviews 5, 6, 7

 Lesson Topic Documents Video 371 Optimization Day 1 PDF 372 Optimization Day 2 PDF 373 Optimization Day 3 PDF 374 Optimization Day 4 PDF 375 Optimization Day 5 PDF 391 Differential Equations PDF Quiz 8 Review PDF youtube link

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Quarter 3

Chapter 4

Topic: Indefinate Integrals, Reimann Sums, Definite Integrals, Fundamental Theorem of Calculus, U-Substitution.

 Lesson Topic Documents Videos 411 Antiderivatives with plus c PDF 412 Antiderivatives with solving for c PDF 421 Sigma Notation PDF 422 Riemann Sums - Left/Right Rule PDF 423 Riemann Sums - Midpoint/Trapezoidal Rule PDF 424 Riemann Sums - Calculator and From Tables PDF Riemann Sum Project in Google Classroom 431 Definite Integrals PDF 441 Fundamental Theorem of Calculus (FTC) - part 1 PDF 442 FTC - Average Value and bounded graphs PDF 443 FTC - Accumulation functions, total area PDF 444 FTC - part 2 PDF Recommended Review and AP Questions PDF Quiz 9 Review PDF youtube 451 Integration with substitution PDF 452 Integration with substitution - rewriting limits PDF 453 Integration with substitution - tougher problems PDF Recommended Review PDF Quiz 10 Review PDF youtube 461 Applications - physics PDF 462 Applications - business / economics PDF 463 Applications - other PDF

Chapter 5

Topic: Derivation and Integration with other functions Derivative Reference Sheet

 Lesson Topic Documents Videos 511-512 Derivatives with e^x and ln(x) PDF 521-522 Integrals with e^x and ln(x) PDF 523 Recommended Review PDF 531 Derivatives with inverse functions PDF Quiz 11 Review PDF youtube 551 Review of Logarithm and Exponentials PDF 552 Derivatives with exponentials and logs (not e) PDF 553 Derivatives with exponentials and logs (not e) day 2 PDF 554 logarithmic differentiation PDF 561 Differential Equation Basics PDF 562 Proportional Relationships PDF 563 Separation of Variables PDF 564 Separation of Variables with initial conditions PDF 565 Differential Equation Applications PDF 566 Recommended Review and AP Practice PDF 581 Inverse Trig Derivatives and Integrals PDF 591 Hyperbolic Trig Derivatives and Integrals PDF 592 Recommended Review and AP Practice PDF

100 Derivative/Integral Assignment

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Quarter 4

Chapter 6

Topic: Slope Fields, Area between Curves and Volumes of Revolution

 Book Lesson Documents Videos 601 Slope Fields PDF 611 Area Between Curves PDF 612 Volumes of solids with known cross sections PDF 621 Volumes of revolutions around the x-axis PDF 622 Volumes of revolutions not tight to the x-axis PDF 623 Volumes of revolutions around the y-axis PDF 624 Volumes of revlutions about a given line PDF 681 L'Hospital's Rule PDF Quiz 12 Review PDF youtube