Welcome to Unit 1 - Limits & Continuity of AP Calculus AB

I will do my best to create a positive learning environment for each of you.
Most weeks we will utilize handfuls of technological tools.

Most Daily/ Weekly assignments will be due the next day.

Wednesday Afternoon (Thursday when I have a Wednesday Meeting) Office Time (2:30pm - 3:00pm)

Be Your Best, Do Your Best, & Breathe!

Unit 1 Quote: “The Expert At Anything Was Once A Beginner" - Helen Hayes

AP Calculus National

Students will be able to use the fundamental concept of limits to:

define and calculate limits for function values and apply the properties of limits
find and verify end behavior models for various functions and identify asymptotes
find the intervals over which a function is continuous
apply the Intermediate Value Theorem
calculate instantaneous and average rates of change
write the equations of tangent and normal lines to a curve at a specified point
find derivatives using the definition of the derivative.
use derivatives to solve problems involving rates of change.

Sept 12^th

Sept 13^th

Sept 14^th

Sept 15^th

Sept 16^th

Unit 1 Packet

PDF Version

AP Calculus AB
Topic/Concept

Project Plan Day

Project Plan Day

Project Presentation Day

Project Presentation Day

Open House / Meet the Teacher Night

Unit Test 1

Week 3

2^nd & 3^rd Period

1. Discuss National Events & Unit 1 Project Guidelines

2.
Self Assessment -
Website Link

3. "High 5 Day"

4. = Group Presentation Day

5. Project Plan Time

6. Song # 1 Take It To The Limit

1. Discuss Quiz # 3 results, Canvas Classwork Grade, & HW 10 results

2. Self Assessment Link # 2

3. Project Plan Time

1/2 Group Project Presentations

"Live Creative Day"

	2^nd Period
Group # 4	Group # 1
	3^rd Period
Group # 1	Group # 3	Group # 5

1/2 Group Project Presentations

	2^nd Period
Group # 3	Group # 2	Group # 6
	3^rd Period
Group # 4	Group # 2	Group # 6

Unit Test 1 - Limits & Continuity

Classwork Grade = Practice Problems, HW 8, & HW 9
HW 10 - Free Response Practice
AP Classroom Problem Set due Mon by 7 am
2^nd Period
Unit 1 Project Upload Page

3^rdPeriod
Unit 1 Project Upload Page

- Intermediate Value Theorem

2^nd Period Link

3^rdPeriod Link
Unit 1 Project
Textbook Pages 77 & 94 = Quick Quiz
Give A Small Gift To A Friend!!!
(❁´◡`❁)

Continuity & Differentiability

(Derivative Directions for
TI - 83 Calculators)

2^nd Period Link

3^rdPeriod Link

Textbook Quick Quiz Answers

Watch AP Central Videos
"Big Ideas" Weekly Journal Entries
well and
!

AP Classroom Problem Set #1 due Mon by 7 am

AP Calculus AB Songs

#1 - Take It To The Limit

#2 - What a Wonderful World

National Events

September 12

September 13

September 14

September 15

September 16

September 17

September 18

Cheeseburger Day

Absolute Value Practice Problems - Link

Intro to Limits Website

Khan Academy - Limits of Composition Video Clip

Squeeze Theorem Proof Examples -Video Clip

AP Calculus AB - "Paul's Notes" - Website Link

Difference Quotient - Video Clip

Desmos Limit Activity

Zweigmedia Applied Calculus Tutorials

Extra Practice , Sample Problems, & Information about Calculus

Principles of Calculus Modeling- From Dartmouth

AP Central Video Resources
AP Central Login Code:

To enroll in the section online, sign into https://myap.collegeboard.org and enter the section join code

2nd Period: V46ZAV

3rd Period: PDJL46

Introducing Calculus
Defining Limits and Using Limit Notation
Estimating Limit Values from Graphs
Estimating Limit Values from Graphs
Determining Limits Using Algebraic Properties of Limits
Determining Limits Using Algebraic Manipulations
Selecting Procedures for Determining Limits
Determining Limits Using the Squeeze Theorem

9. Connecting Multiple Representations of Limits
10. Exploring Types of Discontinuities
11. Defining Continuity at a Point
12. Confirming Continuity over an Interval
13. Removing Discontinuities
14. Connecting Infinite Limits and Vertical Asymptotes
15. Connecting Limits as Infinity and Horizontal Asymptotes
16. Working with the Intermediate Value Theorem
2.1 Defining Average and Instantaneous Rates of Change at a Point

Stay Safe, Do Your Best, Give Your Best,

Keep up the Good Work for this Semester in All of Your Classes!