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Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: One Sided Limits

For Students 9th - 10th
Brief tutorial on special cases of the Cauchy Limit definition.
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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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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.
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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.
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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.
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Activity
Texas Instruments

Texas Instruments: Limits, Numerically

For Teachers 9th - 10th
This activity introduces limits, numerically using tables and graphs.
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Activity
Texas Instruments

Texas Instruments: Taking It to the Limit

For Teachers 9th - 10th
Students explore the concept of limits, both finite and infinite, using the graphing calculator. Each rule has a set of examples and a section for the students to try other examples to create a basis of understanding of each of the rules.
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Unknown Type
McGraw Hill

Glencoe Mathematics: Online Study Tool: Self Check Quiz on Limits

For Students 9th - 10th
This quiz is designed to test students on advanced mathematics skills. The questions help build comprehension in the Calculus topic of limits.
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Activity
Texas Instruments

Texas Instruments: Piecewise Functions: Continuous Differentiable

For Teachers 9th - 10th
This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.
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Activity
Texas Instruments

Texas Instruments: Limits Vertical and Horizontal Asymptotes

For Teachers 9th - 10th
This activity explores graphically, numerically and symbolically the vertical and horizontal asymptotes of a rational function through the limit taking capability of the graphing calculator.
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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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Handout
Wolfram Research

Wolfram Math World: Hyperbolic Functions

For Students 9th - 10th
This site from MathWorld explains the hyperbolic function. The information is not too in-depth, but factual and quite a few links are provided for additional information on related subjects.
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Activity
Texas Instruments

Texas Instruments: Piecewise Functions

For Teachers 9th - 10th Standards
In this activity, students investigate piecewise functions for continuity and differentiability.
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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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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Applications of One Sided Limits

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Computing the limit of a function by identifying one-sided limits
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Activity
Other

Continuity

For Students 9th - 10th
Students learn about continuity. Topics include discontinuities, one-sided limits, and the intermediate value theorem. Definitions and examples with solutions are included.
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Activity
Analyze Math

Analyze Math: Introduction to Limits in Calculus

For Students 9th - 10th
The tutorial investigates numerical and graphical approaches to calculating the limit of a function. Examples with detailed solutions are included.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: One to One Functions and Their Inverses

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
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Unknown Type
Paul Dawkins

Paul's Online Notes: Continuity: Practice Problems

For Students 9th - 10th
Practice exercise reviews the concept of continuity and how it relates to limits. Also, provides practice with the use of the Intermediate Value Theorem.
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Unit Plan
Other

Limits a Geometric and Numeric Approach

For Students 9th - 10th
Students learn about limits using geometric and numeric approaches. Topics include limits using tables and limits with graphs. The resource consists of graphs, examples, and a learning game.
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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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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.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Limits and Asymptotes

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Introduction to end behaviors, limits, asymptotes and limit notation.
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Unknown Type
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.

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