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...
Unit Plan
Math TV

Math tv.com: Calculus: Limits

For Students 9th - 10th
Students learn how to apply the definition of a limit. The learning resource consists of video tutorials with detailed examples. In the left hand menu, click on Calculus, Limits.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits: Numerical Approach

For Students 9th - 10th
The resource investigates numerical approaches to limits. Topics examined are the definition of a limit and estimating limits numerically. Students learn about the calculus concepts through notes and examples.
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.
Handout
Wolfram Research

Wolfram Math World: Calculus

For Students 9th - 10th Standards
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Unit Plan
CK-12 Foundation

Ck 12: Properties of Limits

For Students 10th - 12th
Limit rules for sums, differences, products, quotients, powers, and roots of simpler functions.
Unit Plan
CK-12 Foundation

Ck 12: Evaluate Limits Using Substitution

For Students 10th - 12th
Finding limits for the vast majority of points for a given function is as simple as substituting the number that x approaches into the function.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Limit Comparison Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises regarding the limit comparison test.
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.
Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits: Graphical Approach

For Students 9th - 10th
The resource investigates how to estimate limits graphically. Students learn about the calculus concepts through notes and examples.
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.
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.
Handout
Math Warehouse

Math Warehouse: Limits at Infinity

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

S.o.s. Math: Sequences Limits

For Students 9th - 10th
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Tangent Lines

For Students 9th - 10th
This is a detailed site concerning tangent lines to curves. The site gives the limiting definition of the slope of the tangent. This site has a link to a discussion and animation of the approaching secant line, a java applet for the...
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.
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...
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...
Activity
Math Medics

S.o.s. Math: More on Limit of a Sequence

For Students 9th - 10th
A detailed lesson explaining the uniqueness of a convergent sequence. Explains what happens when a sequence is bounded. Gives properties of sequences with limits.
Graphic
Math Medics

S.o.s. Math: Limits and Infinity

For Students 9th - 10th
Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.
Interactive
Cool Math

Coolmath: Rational Functions More on Limits

For Students 10th - 12th
Explanation, examples, and independent practice of limits.
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...
Activity
Texas Instruments

Texas Instruments: Calculus With the Ti 89

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity, students will explore the concept of limits of functions, and use CAS to demonstrate the definition of derivative.

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