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Lesson Plan
Curated OER

Computer Graphing Calculator Explorations

For Teachers 9th - 12th
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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Worksheet
Curated OER

Worksheet 35 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
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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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Unknown Type
Khan Academy

Khan Academy: Analyzing Motion Problems (Integral Calculus)

For Students 11th
Given a motion problem, find the expression that can be used in order to solve the problem.
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Unit Plan
Khan Academy

Khan Academy: Worked Example: Problem Involving Definite Integral (Algebraic)

For Students 9th - 10th
Using definite integral to solve a word problem about the growth in the population of a town.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Fundamental Theorem of Calculus 12

For Students 9th - 10th
This site uses an example to explain the fundamental theorem of calculus. The student can change the problem. At the bottom of the page is a link to a table of elemantary indefinite integrals.
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Activity
Texas Instruments

Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus

For Teachers 9th - 10th
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
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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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Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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Activity
Interactive Mathematics

Interactive Mathematics: Integration

For Students 9th - 10th
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...
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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
Interactive Mathematics

Interactive Mathematics: Applications of Indefinite Integrals

For Students 9th - 10th
Displacement, velocity, and acceleration are determined in real world problems using the indefintie integral. Several examples alllow you to see the process at work.
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Lesson Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc

For Teachers 9th - 10th
Students learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Numerical and Graphical Approaches

For Students 9th - 10th
Students learn how to evaluate the definite integral using numerical and graphical approaches. Topics examined are Riemann sums and the definite integral. The tutorial explores the calculus concepts through notes and examples. Review...
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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
Texas Instruments

Texas Instruments: Integration Crossing

For Teachers 9th - 10th
This worksheet allows the students the opportunity to learn how to use the graphing calculator to compute anti-derivatives.
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Activity
Texas Instruments

Texas Instruments: Solving Differential Equations Using Euler

For Teachers 9th - 10th
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
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Unknown Type
Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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Activity
Analyze Math

Analyze Math: Integration Using Partial Fractions

For Students 9th - 10th
The tutorial investigates how to calculate integrals using partial fraction decomposition. Practice problems and examples with solutions are included.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Reduction Formulas

For Students 9th - 10th
This tutorial presents a series of trigonometric integrals to solve using recursion or reduction formulas. Click Solution next to each formula and a popup screen provides the solution.
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Activity
Interactive Mathematics

Interactive Mathematics: Applications of Volumes by Integration

For Students 9th - 10th Standards
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
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Activity
Texas Instruments

Texas Instruments: Getting Started With the Calculus Tools App

For Teachers 9th - 10th
This user-friendly application extends the build-in power of your TI-89 and TI-92 Plus by providing more specialized functionality. Use Calculus to investigate applications of differentiation, compare numerical integration techniques and...