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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.
Activity
Texas Instruments

Texas Instruments: Special Limits

For Teachers 9th - 10th
Students can use the graphing calculator to explore the limits of the functions sin(x)/x and (cos(x)-1)/x as x approaches zero.
Activity
Windstream

Ojk's Precalculus Study Page: Limits of Infinite Sequences

For Students 9th - 10th
A wonderful study tutorial explaining the limits of infinite sequences. There are theorems and examples.
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.
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...
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.
Lesson Plan
University of Texas at Austin

Mathematics Teks Toolkit: Exponential Functions

For Teachers 9th - 10th Standards
Compare graphs of different exponential functions and determine the limitations of the functions.
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Limits

For Students 9th - 10th
Hotmath provides 25 practice problems that deal with limits and graphs of limits. Each of the practice problems include a step-by-step guide.
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.
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: 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.
Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Limites De Funciones

For Students 9th - 10th
In this interactive unit you can make a visual understanding of the definition about the limit of a function.
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: Limits and Continuity

For Teachers 9th - 10th
These questions address the topics of limits, continuity, and discontinuity.
Interactive
Cool Math

Coolmath: Rational Functions More on Limits

For Students 10th - 12th
Explanation, examples, and independent practice of limits.
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.
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...
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Paul Dawkins

Paul's Online Notes: The Limit: Practice Problems

For Students 9th - 10th
Practice exercise features six problems that review limits.
Activity
Texas Instruments

Texas Instruments: Techniques for Evaluating Limits

For Teachers 9th - 10th
Students are given the techniques for evaluating limits with and without using a graphing calculator. Both limits as x approaches a and as x approaches +/- infinity are given.
Activity
Texas Instruments

Texas Instruments: Finding Limits

For Teachers 9th - 10th
This activity allows the student to understand limits using both graphical and tabular methods.
Activity
Texas Instruments

Texas Instruments: Limits, Numerically

For Teachers 9th - 10th
This activity introduces limits, numerically using tables and graphs.
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
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.

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