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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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Handout
Math Warehouse

Math Warehouse: Limits in Calculus

For Students 9th - 10th Standards
Features numerous exercises relating to limits in calculus. Includes links, calculators, lessons, and worksheets.
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Unit Plan
Other

Ltcc: Limits (Algebraically)

For Students 9th - 10th
Students learn how to evaluate limits algebraically. Topics include infinite limits, trigonometric limits, and the squeeze theorem. Definitions and examples with solutions 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
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
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Limit Properties

For Students 9th - 10th
The tutorial proves some of the basic properties and facts about limits. Topics discussed are limit properties, triangle inequality, continuity, and limits at infinity. Class notes, definitions, and examples with detailed solutions are...
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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
Analyze Math

Analyze Math: Limits of Basic Functions

For Students 9th - 10th
The resource investigates the limits of basic functions. The tutorial consists of practice problems and examples with 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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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
Khan Academy

Khan Academy: Determine the Domain of Functions

For Students 9th - 10th Standards
Determine the domain of a function according to the algebraic limitations of that function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Graphic
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits and Continuity

For Students 9th - 10th
The resource investigates limits and continuity. Topics examined are left and right limits. Students learn about the calculus concepts through notes and examples.
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eBook
Other

Pheng Kim Ving: Limits of Trigonometric Functions

For Students 9th - 10th
This site provides an explanation on the limits of trigonometric functions. Topics included on the site are infinite limits, no limits at infinity and a fundamental limit.
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Graphic
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Limits and Continuity

For Students 9th - 10th
The topic summary outlines limits and continuity. Some topics reviewed are limits numerically, limits geometrically, limits algebraically, and continuous functions. The resource consists of definitions, notes, and examples.
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Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits for Rational Functions

For Students 9th - 10th
This Northeast Parallel Architectures Center of Syracuse University site offers examples and instruction on infinite limits for rational functions.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits and Continuity: Algebraic Approach

For Students 9th - 10th
The resource investigates limits and continuity using an algebraic approach. Topics examined are closed-form functions and evaluating a limit using simplification. Students learn about the calculus concepts through notes and examples.
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Activity
Texas Instruments

Texas Instruments: Functions, Graphs, and Limits

For Teachers 9th - 10th
In this activity, students create graphs and tables of values for functions. They can use this graphical and numerical information to explore limits. Students can also evaluate limits directly.
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Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Limits at Infinity

For Students 9th - 10th
This site from the Northeast Parallel Architectures Center of Syracuse University is a great site for studying the limits at infinity. This page contains six links to information on the subject. Just click on the one you want information...
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Graphic
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits

For Students 9th - 10th
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
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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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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
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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Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Formal Definition of a Limit

For Students 9th - 10th
This Math Forum site is an inquiry by a student about the definition of a limit with a response by a professor. If you are confused by the student's inquiry don't worry, take a look at the doctor's response which explains what a limit is...

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