What's Your Limit?

You will be working together as a group exploring web sites that I have selected.  Each group will have 4 students. One student will be assigned to each of the following topics:

(1) Limits Graphically
(2) Evaluating Limits
(3) Limits and Infinity
(4) Limits and Continuity

After researching your websites, you will become the group expert in that topic. You will share the information with your group. Additionally, the main requirement of this project is for each individual to create 5 easy and 5 medium multiple-choice questions for their topic. You must create the question and 4 possible answers. You may also create 'hard' questions for bonus points. It is your responsibility to make sure your entire group understands how to solve each of the problems you have created.

Phase 1 - Roles

Each of you has been assigned a particular role with links and instructions below. Here are the general instructions for all of you. Please see your specific instructions and questions below.

INSTRUCTIONS:

1. All members of the class will explore the links titled: Limits for Everyone. Each link is assigned a different night of the week for HW. Please see the descriptions for which links need to be explored each night. We will be going over the information in class, but you need to access the links ahead of time.

2. One member from each WebQuest team will explore 'Limits Graphically'. One member from each WebQuest team will explore 'Evaluating Limits'. One member from each WebQuest team will explore 'Limits and Infinity'. Finally, one member from each WebQuest team will explore 'Limits and Continuity'.

3. Read through the links designated for you. You can print out pages and underline the parts that you feel are important or cut and paste from the webpage into a word document. If there are any problems or examples, make sure to work them out. Remember, you will be teaching this information to the rest of your team.

4. Focus on what you've learned from each topic and think of multiple-choice questions that you would expect to see on a test related to that topic. These are the questions you will be creating. Pay careful attention to the type of mistakes students may make. Be sure to include these answers in your multiple-choice questions as well, so the answer is not obvious.

Background Information on Limits for Everyone

What is a Limit?
Day 1 HW: Go through this tutorial to discover exactly what a limit is.

When does a Limit Exist?
Day 2 HW: Use this tutorial to find out more about when a limit will exist.          

Rules for Computing Limits
Day 3 HW: This useful website will help you discover the rules for computing limits.  Copy down the rules as you read them.

Introduction to Limits
Day 4 HW: This website is a great way to review what we have been talking about in class.  View the flash animations.  When you have finished, complete the quiz, and be prepared to report your score in class tomorrow.

Everyone will be accessing these links throughout the first week of the Limits chapter.
 

Limits Graphically

If you are assigned 'Limits Graphically' use these links.

Calculus on the Web: Limits Graphically
Follow the links to get to your lesson: Calculus Book 1 -> Limits and Continuity -> Continuity -> Discontinuities of Simple Piecewise Defined Functions   Do all the practice problems found in this module.

Limits Graphically

Limits Can Be Fun!

Evaluating Limits

If you are assigned 'Evaluating Limits' use these links.

Calculus on the Web: Evaluating Limits
Follow the links to get to your lesson: Calculus Book 1 -> Limits and Continuity -> Ordinary Limits -> Basic Limits More Examples   Do all the practice problems found in this module. 

Numerical Introduction to Limits

How Do You Evaluate Limits?

Limits and Infinity

If you are assigned 'Limits and Infinity' use these links.

Calculus on the Web: Limits and Infinity
Follow the links to get to your lesson: Calculus Book 1 -> Limits and Continuity -> One Sided Limits and Asymptotes -> Limits at Infinity   Do all the practice problems found in this module. 

Horizontal Asymptotes

Vertical Asymptotes

Limits and Infinity

Limits and Continuity

If you are assigned 'Limits and Continuity' use these links.

Calculus on the Web: Limits and Continuity
Follow the links to get to your lesson: Calculus Book 1 -> Limits and Continuity -> Continuity -> A Missing Value   Do all the practice problems found in this module.

Continuous Functions

Continuity

You have all learned about different topics having to do with Limits. Now group members come back to the larger WebQuest team with expertise gained by searching from one perspective. You must all now complete the Task as a group. Each of you will bring a certain area of expertise to the group. Spend time teaching each other how to solve example problems you have found on the websites you researched.

After you have all been taught, group members will try to solve each other's questions. Make sure everyone understands how to do each quesiton. Each group should be submitting at least 40 multiple choice questions (5 easy and 5 medium for each of the 4 group members). You will discuss the questions as a group and make sure they are good. Submit your final product on 3x5 cards with the question and 4 possible answers on the front and the answer worked out on the back.