253A AP CALCULUS AB

Unit 1: Limits and Continuity

Duration of Days: 23

What are the different processes of finding the limit of a function?
When does a limit fail to exist?
How do you determine continuity of a function?
How do you find a one sided limit?

1.1 Can Change Occur at an Instant?
1.2 Defining Limits and Using Limit Notation
1.3 Estimating Limit Values from Graphs
1.4 Estimating Limit Values from Tables
1.5 Determining Limits Using Algebraic Properties
1.6 Determining Limits Using Algebraic Manipulation
1.7 Selecting Procedures for Determining Limits
1.8 Determining Limits Using the Squeeze Theorem
1.9 Connecting Multiple Representations of Limits
1.10 Exploring Types of Discontinuities
1.11 Defining Continuity at a Point
1.12 Confirming Continuity Over an Interval
1.13 Removing Discontinuities
1.14 Infinite Limits and Vertical Asymptotes
1.15 Limits at Infinity and Horizontal Asymptotes
1.16 Intermediate Value Theorem (IVT)

College Board - AP Classroom Assessments 

Lesson # Lesson Title Duration of Days
1 1-1 Can change occur at an instant? 1
2 1-2 Defining Limits 1
3 1-3 Finding Limits from Graphs 2
4 1-4 Finding Limits from Tables 1
5 1-5 Algebraic Properties of Limits and Piecewise Functions 1
6 1-6 Algebraic Manipulation 1
7 1-7 Selecting Procedures 2
8 1-8 The Squeeze Theorem 1
9 1-9 Multiple Representations 1
10 1-10 Types of Discontinuities 1
11 1-11 Defining Continuity at a Point 2
12 1-12 Confirming Continuity Over an Interval 1
13 1-13 Removing Discontinuities 1
14 1-14 Infinite Limits and Vertical Asymptotes 2
15 1-15 Limits at Infinity and Horizontal Asymptotes 2
16 1-16 Intermediate Value Theorem 1
17 Review and Assessment 2