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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: The "Limit" Infinity

For Teachers 9th - 10th
Here is a site that clearly and thoroughly explains the concept of infinite limits. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Definition of a Limit

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
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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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Activity
Texas Instruments

Texas Instruments: Ti 89 Riemann Sum Activities for Calculus

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Evaluating E

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the limit definition of the transcendental number e. There are several different approaches used to find the value. Point this site out to students who have been absent or who need...
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Activity
Texas Instruments

Texas Instruments: Integral Calculus

For Teachers 9th - 10th
In this activity, students use various features of the calculator to investigate some of the fundamental concepts of integral calculus. They study Riemann Sums and explore limitations of numerical integration.
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Activity
Texas Instruments

Texas Instruments: The Derivative as a Limit

For Teachers 9th - 10th
Read about the near-simultaneous discovery of Calculus by Liebniz and Newton, then see some examples worked through of finding derivatives of functions using the limit definition of derivative. Following the examples are exercises with...
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Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Sampling Distributions and the Central Limit Theorem

For Students 9th - 10th Standards
Students learn about sampling distributions and the Central Limit Theorem. Topics explored are sample mean, population mean, and using the Central Limit Theorem. The tutorial investigates the statistics concepts through class notes and...
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Proof of Some Trigonometric Limits

For Students 9th - 10th
Students learn about two trigonometric limits. The resource consists of two proofs and diagrams.
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Unit Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Confidence Intervals

For Students 9th - 10th
Students learn about confidence intervals. Topics explored are the Central Limit Theorem, large sample confidence intervals, and confidence intervals for small samples. The tutorial investigates the statistics concept through class notes...
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Limits and Greatest Integer Function

For Students 9th - 10th
Definition of greatest integer function. Includes a visualization animation that requires LiveMath Notebook plugin.
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Study Guide
Department of Defense

Do Dea: Fundamental Theorem of Calculus Part 2

For Students 9th - 10th
This part of the Fundamental Theorem of Calculus tells us what happens when you take the derivative of an integral that has a variable as an upper limit of integration. Examples and explanations are provided. Great review for the AP...
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Activity
Oregon State University

Calculus Quest: Left and Right Hand Limits

For Students 9th - 10th
Find out how to determine if a limit exists and what its value is. This site contains an interactive limit finding exercise of a particular graph. Be sure to continue to the next page by following the small blue arrow under the exercise...
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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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Activity
Texas Instruments

Texas Instruments: Population and Limits

For Teachers 9th - 10th
In this activity, students will consider a model of a population living in an unfavorable habitat. Given an initial population students will describe the population as timepases.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: One Sided Limits

For Students 9th - 10th
This calculus tutorial features an explanation of one-sided (left- and right-hand) limits.
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Unit Plan
Mathematics Archives

Math Archives: Visual Calculus: Definition of Limits

For Students 9th - 10th
This site gives the definition of a limit and many examples of finding delta given an epsilon to help clarify the process.
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Article
Other

Jiskha Homework Help: Math Calculus

For Students 9th - 10th
Jiskha.com offers help with your calculus homework. Use the find button to locate the subject you are interested in. This will take you to the correct link.
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Activity
Math Medics

S.o.s. Math: Taylor Series

For Students 9th - 10th
This lesson details the taylor series with a general description, formulas, and an explanation of its usage in mathematics. Content also includes a focus on the Taylor series as limits of Taylor polynomials, including two examples.
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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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Lesson Plan
Alabama Learning Exchange

Alex: Know Your Limits

For Teachers 9th - 10th
The limit is the fundamental notion of calculus. This underlying concept is the thread that binds together virtually all of the calculus studied by the student. In this lesson, the student's knowledge of limits will be extended using...
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Activity
Analyze Math

Analyze Math: L'hopital's Rule and the Indeterminate Form

For Students 9th - 10th
The tutorial examines L?hopital?s rule which allows students to replace a limit problem with another that may be simpler to solve. L?hopital?s theorem, examples, and practice problems are included.
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Graphic
Curated OER

University of Minnesota: Graphics for the Calculus Classroom

For Students 9th - 10th
The University of Minnesota offers an excellent interactive tutorial review site on calculus.
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Website
Paul Dawkins

Paul's Online Notes: Calculus I: Types of Infinity

For Students 9th - 10th
The tutorial examines types of infinity. Class notes, definitions, and an additional resource are included. The notes are available in pdf format.

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