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Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
In this Calculus learning exercise, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page...
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Worksheet
Curated OER

Infinite Series

For Students 11th - Higher Ed
In this math activity, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit. 
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Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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Interactive
Curated OER

Linear Computational Circuitry

For Students 11th - Higher Ed
In this electrical worksheet, students draw a schematic design circuit board to grasp the understanding amplification in linear circuitry before answering a series of 35 open-ended questions pertaining to a variety of linear circuitry....
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Worksheet
Curated OER

Worksheet 25

For Students 11th - Higher Ed
In this math worksheet, learners state the Fundamental Theorem of Calculus. Then they evaluate the functions and test them against the theorem.
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Lesson Plan
Curated OER

Less is More: Realizing Mathematics Through Agriculture

For Teachers 9th - 12th
Students study the architectural designs of different popular sites. In this math instructional activity, students draw a grid diagram. They explain what geodesic algorithms are used for.
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Lesson Plan
Curated OER

Attributes of Renewable Energy: From Nanopossibilities to Solar Power

For Teachers 9th - 12th
Students explore solar energy, why we use it and how we use it.  In this renewable energy instructional activity students compare active and solar techniques.
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Activity
Texas Instruments

Texas Instruments: Integral Test

For Teachers 9th - 10th
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Integral Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
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Handout
Math Medics

S.o.s. Math: Improper Integrals and Series: The Integral Test

For Students 9th - 10th
This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Series and Sequences

For Students 9th - 10th
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
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Unknown Type
BBC

Bbc: Integration

For Students 9th - 10th
Several topics of integration are presented, including definite and indefinite integrals, trig integration, and area under curves. Examples and a practice test are included.
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Activity
Other

Integration by Parts (Ibp)

For Students 9th - 10th
This site explains the intgration by parts, giving formulas and examples. The site also includes a link to an interactive self test.
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Handout
Other

Sierra College: Summary of Tests for Series

For Students 9th - 10th
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
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Activity
Interactive Mathematics

Interactive Mathematics: Even Crash Test Dummies Use Calculus

For Students 9th - 10th
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Integration Techniques

For Students 9th - 10th
The resource examines various integration techniques. Topics investigated are integration by parts, partial fractions, comparison test, and trigonometric substitutions. Class notes, definitions, and examples with detailed solutions are...
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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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Study Guide
Department of Defense

Do Dea: Fundamental Theorem of Calculus Part 1

For Students 9th - 10th
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!
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Study Guide
Department of Defense

Do Dea: Ap Calculus

For Students 9th - 10th
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
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Interactive
Interactive Mathematics

Interactive Mathematics: Millionaire Calculus Game

For Students 9th - 10th
This interactive game imitates the famous "Millionaire" game show and allows students to test there calculus knowledge. It requires that you really know your calculus and is a fun way to test yourself.
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Lesson Plan
University of Arizona

Math Lesson: Calculating Parts Per Million: Do We Have a Problem Here?

For Teachers 12th
Twelfth graders test solutions to determine the parts per million and whether a lake is contaminated.
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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
Math2

Math2.org: Series Expansion

For Students 9th - 10th
A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.