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Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Limits

For Students 9th - 10th
Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
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Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Partial Derivatives

For Students 9th - 10th
The resource examines partial derivatives. Topics investigated are limits, higher order partial derivatives, chain rule, and directional derivatives. Class notes, definitions, and examples with detailed solutions are included. The notes...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Infinite and Non Existent Limits

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Identifying and understanding functions which approach infinity or have no limit. Students examine guided notes, review guided practice, watch instructional videos...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Infinite Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Exploring functions with limits at + / - infinity. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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Activity
Texas Instruments

Texas Instruments: Area and Perimeter of Regular Polygons

For Teachers 9th - 10th Standards
Students determine the area and perimeter of regular polygons and use that information to conduct a beginning investigation of limits.
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Unit Plan
Other

Calculus help.com: Tutorials for the Calculus Phobe

For Students 9th - 10th
A dozen interactive tutorials are what help make the basics of calculus more clear for those students who need additional explanation. Clear directions, simple examples, and interesting graphics are all part of this resource.
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Unit Plan
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Limits

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the concept of limits, including one-side limits, the limit of a function, and the definition of limit. There are example problems solved, problems for the student to attempt, and...
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Unit Plan
Shmoop University

Shmoop: Multiplying and Dividing Limits Examples

For Students 10th - 12th
Examples of multiplication and division of limits with the solutions.
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Unit Plan
Shmoop University

Shmoop: Adding and Subtracting Limits Examples

For Students 10th - 12th
Examples of addition and subtraction with limits including solutions to the example problems.
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Handout
Paul Dawkins

Paul's Online Notes: Limits at Infinity Part 1

For Students 10th - 12th
Online notes with examples and solutions.
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Interactive
Cool Math

Coolmath: Rational Functions More on Limits

For Students 10th - 12th
Explanation, examples, and independent practice of limits.
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Handout
Math Warehouse

Math Warehouse: Limits at Infinity

For Students 10th - 12th
A reference site that describes and gives examples of limits at infinity.
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Activity
Analyze Math

Analyze Math: Properties of Limits

For Students 9th - 10th
Students examine the properties of limits. Theorems and examples with detailed solutions are included in the tutorial.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Rational Function Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: One Sided Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Exploring functions with differing limits when x>0 or x<0. Students examine guided notes, review guided practice, watch instructional videos and attempt...
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Unit Plan
BBC

Bbc: Higher Bitesize Maths: Sequences: Recurrence Relations

For Students 9th - 10th Standards
A tutorial on recurrence relations focuses on the topic of sequences and works with limits. Several examples are included.
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Activity
Interactive Mathematics

Interactive Mathematics: Limits

For Students 9th - 10th
Beginning with a discussion on continuity, this site introduces the concept of limits. Several examples are presented, some of which allow you to work the problem yourself before seeing the problem. Graphs are included on several of the...
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Unit Plan
Khan Academy

Khan Academy: Continuity at a Point (Graphical)

For Students 10th - 12th
Practice continuity at a point.
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Unit Plan
Massachusetts Institute of Technology

Mit: Open Course Ware: Differentiability and Continuity

For Students 9th - 10th
The activity investigates differentiability and continuity. The resource consists of online textbook chapters and exam questions with solutions on non-differentiable behavior. All documents were created from scanned original files and...
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Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]

For Students 9th - 10th
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.
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Handout
Indiana University

Indiana University: Ensi Sensi/nature of Modern Science

For Students 9th - 10th
This paper by Martin Nickels includes a section titled "The Uncertainty & Limits of Scientific Knowledge."
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Lesson Plan
Indiana University

Indiana University: Nature of Science Lessons

For Teachers 9th - 10th
This list of nature of science lessons from the Indiana University includes three links to lessons under the heading "Realm and Limits."
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Website
Massachusetts Institute of Technology

Mit: Calculus Index

For Students 9th - 10th Standards
This site from the Massachussets Institute of Technology has links to various topics in calculus.
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Activity
Windstream

Ojk's Precalculus Study Page: The Number E and the Function E^x

For Students 9th - 10th Standards
An introduction to the natural exponential function, beginning with the limit definition of the irrational number e. Includes several examples and exercises with solutions which deal with the compound interest formula.