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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.
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
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.
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.
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.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Intermediate Value Theorem

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...
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.
Activity
Texas Instruments

Texas Instruments: Riemann Sums

For Teachers 9th - 10th
Students use their TI-89 to investigate Riemann sums and learn how to construct them. They take the limit of two Riemann sums and find out that the limits exist and are the same. They compare this limit to the definite integral of the...
Activity
Texas Instruments

Texas Instruments: Local Linearity and Differentiability

For Teachers 9th - 10th
In this activity, students explore a graphical feature of some functions called local linearity. They also investigate the link between local linearity and differentiability through several examples.
Website
Massachusetts Institute of Technology

Mit: Calculus Index

For Students 9th - 10th Standards
This site from the Massachussets Institute of Technology has links to various topics in calculus.
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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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.
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.
Activity
Interactive Mathematics

Interactive Mathematics: Instantaneous Rate of Change

For Students 9th - 10th Standards
The derivative is applied to real world applications of velocity in an example using "h" notation and limits.
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.
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.
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.
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.
Handout
Texas A&M University

Texas A&m Univ: Limits at Infinity Horizontal Asymptotes

For Students 9th - 10th
This site, created by a math professor at Texas A & M University provides notes about and defines different types of asymptotes.
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...
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.
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.
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.
Activity
Oregon State University

Calculus Quest: Jump Discontinuities

For Students 9th - 10th
This site defines jump discontinuities with graphs of functions to clarify.

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