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Handout
Math Open Reference

Math Open Reference: Limits: An Informal Overview

For Students 9th - 10th
Gain an understanding of limits with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Derivative and Limits [Pdf]

For Students 9th - 10th
Students sketch the graph of the derivative and examine the limits of a given function. The example is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Derivative and Limits [Pdf]

For Students 9th - 10th
Students use the graph of a function to sketch the derivative and estimate limits. The example is available in PDF format.
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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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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Continuidad De Funciones

For Students 9th - 10th Standards
In this interactive unit you will be able to understand the concept of continuity, determine whether a function is continuous from its graph and to distinguish the different types of discontinuities both graphically and analytical.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Asintotas

For Students 9th - 10th Standards
In this unit you will learn to calculate the limits of a function and the equations of the vertical, horizontal and oblique asymptotes from its graph.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Continuidad De Funciones

For Students 9th - 10th
In Spanish. In this interactive unit you will be able to tell if a function is continuous from its graph, understand the concept of continuity of functions and to distinguish between the different types of discontinuities either...
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Activity
Texas Instruments

Texas Instruments: The Calcumites Are Coming! Ti 83

For Teachers 9th - 10th
Students model the growth of a population and compare ideal growth with a population whose growth is limited. They use technology to find exponential and logistic regression equations and use them to plot models.
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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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Handout
Other

Dans Math: Lessons: Calculus (Part 1)

For Students 9th - 10th
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
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Activity
Other

Presidential Power and Limitations

For Students 9th - 10th
This site has links to information about almost everything that the president can and cannot do while in office.
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Handout
Math Open Reference

Math Open Reference: A Formal View of Limits

For Students 9th - 10th
Explore the triangle inequality theorem with this helpful reference tool. Provides a detailed definition and an interactive activity that enhances further explanation. Includes links to related topics.
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Activity
Texas Instruments

Texas Instruments: Is There a Limit?

For Teachers 9th - 10th
In this activity, students examine data about bacteria and their growth. They produce a scatter plot, a best-fit model, and draw conclusions based on the data and graph.
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Unit Plan
Other

Desmos: Modeling Bundle

For Students 9th - 10th Standards
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
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Unit Plan
Wolfram Research

Wolfram Math World: Leibniz Integral Rule

For Students 11th - 12th
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
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Activity
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Linear and Quadratic Models

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Modeling of Linear and Quadratic Functions
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Unit Plan
Other

Epsilon Delta

For Students 9th - 10th
Students learn about the formal definition of the limit. A definition, proof, and examples with solutions are included.
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Graphic
University of Minnesota

University of Minnesota: Calculus Graphics: Limits

For Students 9th - 10th
This page offers visual aids to understand the existence of a limit to a function. The site briefly discusses left and right-hand limits.
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Interactive
Interactive Mathematics

Interactive Mathematics: Differentiation

For Students 9th - 10th
Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....
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Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
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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...
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Asintotas

For Students 9th - 10th Standards
This interactive unit shows you the relationship between functions and their graphs. You can practice how to calculate the limit of the function as x approaches plus or minus infinity.
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Handout
Other

Fairchild Tropical Botanic Garden: What Are Adaptations [Pdf]

For Students 9th - 10th
This pdf presents a thorough examination of plant adaptations with emphasis on different types of functional and reproductive adaptations.

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