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DAYLESSON & OBJECTIVES
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8/26/2021Expectations and Course Introduction
Day One Placemat
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8/27/20211.1 Concept of Instantaneous Rate of Change
•Interpret rate of change at an instant in terms of average rates of change
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8/30/20211.2 Understanding Limits Graphically and Numerically
•Evaluate the limit, if it exists by graphical and numerical methods.
•Find one-sided limits and general limits
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8/31/20211.3 Properties of Limits
•Use properties of limits to evaluate graphically, numerically, and algebraically
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9/1/2021Quiz
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9/2/20211.4 Finding Limits by Analytic Methods
•Evaluate limits analytically, including substitution, cancellation, rationalization, and special trig rules
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9/3/2021
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9/8/2021AP STYLE QUIZ #1
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9/9/20211.5 Limits of Transcendental Functions
•Evaluate limits of exponential and trigonometric functions
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9/10/2021
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9/13/20211.6 Limits and Continuity
•Apply the definition of continuity to determine whether a function is continuous at a point.
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9/14/2021
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9/15/2021Cooperative Activity of choice
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9/16/2021Infinite Limits and Limits at Infinity
•Compare and contrast infinite limits and limits at infinity
•Use properties of infinite limits to find asymptotes and describe function behavior.
•Use relative rates of growth of power, logarithmic, and exponential functions to analyze limits
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9/17/2021
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9/20/20211.8 Intermediate Value Theorem
•Understand and apply the Intermediate Value Theorem
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9/21/2021
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9/22/2021AP STYLE QUIZ #2
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9/23/2021Unit 1 Review
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9/24/2021Unit 1 Review
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9/27/2021Unit #1 Test Day 1 – Limits and Continuity (MC)
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9/28/2021Unit #1 Test Day 2 – Limits and Continuity (FRQ)
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9/29/2021
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9/30/2021
2.1 Rates of Change and the Tangent Line Problem
•Interpret rates of change over an interval or at a single point by graphical and numerical methods
•Write equations of tangent lines and normal lines
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2.2 Tangent Lines and the Derivative
•Use limit definition of the derivative, proper notation to find the general form of a derivative
•Analyze function behavior using the derivative
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2.3 Understanding the Derivative and Linear
Approximations
•Explore the concept of local linearity
•Use the tangent line to investigate function behavior
•Estimate derivatives graphically and from tables
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2.4 Differentiability and Continuity
•Understand the relationship between differentiability and continuity
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AP STYLE QUIZ
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2.5 Basic Differentiation Rules
•Find derivatives using basic rules of differentiation for polynomial, power, sine, cosine, tangent, exponential and logarithmic functions
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2.6 Product and Quotient Rules
•Apply the product and quotient rules algebraically for polynomial, power, sine, cosine, tangent, exponential and logarithmic functions
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2.7 Velocity and Other Rates of Change
•Solve basic rectilinear motion problems involving position, speed, velocity and acceleration
•Interpret the effect of a one-unit change
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AP STYLE TEST #2
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3.1 The Chain Rule
•Apply the chain rule for polynomial, power, sine, cosine, tangent, exponential and logarithmic functions
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3.2 Symbolic Differentiation
•Use properties and rules of derivatives to differentiate symbolically
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3.3 Implicit Differentiation
•Find derivatives of implicitly defined functions
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AP STYLE QUIZ #3
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3.4 Derivatives of Inverse Functions
•Apply the properties of inverse functions to the derivatives of inverse functions
•Apply rules for bases and logarithms
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3.5 Derivatives of Inverse Trig Functions
•Apply rules of derivatives for inverse trig functions
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Unit 3 Review
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AP STYLE TEST #3
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