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Ms.Hu's AP Calculus Outline 2026-27

Writer: Shuaiqi Hu
Shuaiqi Hu
Aug 6
2 min read

Updated: Oct 7

Q1

Important Links

Annotated PowerPoint (will update soon)

Lesson/ Focus & CED Covered

Class Note

Additional Practice Problems

Trig Review



Limits I


  • Estimate a limit using a numerical or graphical approach.

  • Learn different ways that a limit can fail to exist.

Limits II

  • To make the connection between limits to infinity and horizontal asymptotes

Limits III

  • Evaluate a limit using properties of limits

Limits IV

  • Evaluate a limit using properties of limits

Continuity and IVT

  • Understanding continuity in terms of limits.

  • Geometric understanding of graphs of continuous functions (Intermediate Value Theorem



1st Nine Weeks Quiz

ROC and The Definition of a Derivative

  • Understand the Average Rate of Change (AROC) and transition it into the Instantaneous Rate of Change (IROC) via limits, forming the foundational definition of the derivative.

Page 4-7

Key

IROC

  • Estimate, calculate, and interpret the exact Instantaneous Rate of Change (IROC

Page 10

Key

Basic Differentiation

  • Find the derivative of a function using the Constant Rule.

  • Find the derivative of a function using the Power Rule.

  • Find the derivative of a function using the Constant Multiple Rule.

  • Find the derivative of a function using the Sum and Difference Rule

Page 16

Key



Derivatives in Disguise

  • To be able to identify derivatives in disguise

Page 20-21

key


Tangent lines

  • Find the slope of the tangent line to a curve at a point

Page 26-29

key

Differentiability

  • Explain the relationship between differentiability and continuity.

Page 34-35

key

1st Nine Weeks Exam Review


1st Nine Weeks Exam




Q2

 Powerpoint

Lesson/ Focus & CED Covered

Class Note

Additional Practice Problems

~Unit 3 ~More Derivatives~

3.1 Derivatives of Trig Functions, Product Rule, & Quotient Rule

  • Differentiate trig functions and products or quotients of functions using the correct rule.



3.2 PVA

  • Use derivatives of a position function to find velocity and acceleration and describe a particle's motion.


3.3 Chain Rule

  • Differentiate composite functions by identifying inner and outer functions.


3.4 Implicit Differentiation

  • Learning Objective: Find the derivatives for equations where y isn't isolated.


3.5 Derivatives of Inverse and Inverse Trig Functions

  • Find derivatives of inverse functions and inverse trig functions.


3.6 Derivatives of Exponential and Logarithmic Functions

  • Find derivatives of exponential and logarithmic functions

























Q3

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Q4

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