NAHS AP Calculus Unit 1

Limits and Their Properties
Day Notes Critical Homework Online Video Resources
1

Limits of Functions

Lesson 1 Critical HW

Solutions

What is a Limit?
Limits from a Table
Limits from a Graph (Undefined Function) & (Discontinuous Point) & (Asymptotes)
Finding Limits Algebraically by Direct Substitution (Defined) & (Undefined)
Finding Limits Algebraically by Facoring
Finding Limits Algebraically by Rationalization
2

Continuity & 1-Sided Limits

Lesson 2 Critical HW

Solutions

Continuity of Functions
Removable and Non-Removable Discontinuity

Determining if a Function is Continuous using the Calculus Definition of Continuity

Video 1 & Video 2 & Video 3

What are One Sided Limits?
One Sided Limits (Using a Graph) & (Approaching an Asymptote) & (Piece-wise Graphs)
Limits for Functions of the Form y = |f(x)| / f(x)
3

 

Intermediate Value Theorem(IVT)

 

Lesson 3 Critical HW

Solutions

Intermediate Value Theorem (IVT)

Squeeze Theorem
4

 

Infinite Limits

 

Lesson 4 Critical HW

Solutions

Infinite Limits

5

 

Limits to Infinity

 

Lesson 5 Critical HW

Solutions

Limits to Infinity
 

 

Unit 1 Assessment AP Question Review

 

Solutions