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Numerical Analysis: Dimensional Vectors
In this dimensional vector instructional activity, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page instructional activity contains approximately...
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Worksheet 13
For this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, learners are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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Multivariable Calculus: Implicit Differentiation
In this implicit differentiation learning exercise, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page learning exercise contains definitions, examples, and...
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Using Riemann Sums
In the Riemann sums instructional activity, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page instructional...
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Trig Identities and Antiderivatives
In this math worksheet, students investigate the use of the trigonometric identities and the antiderivatives. They are asked to memorize the identities.
CK-12 Foundation
Length of a Plane Curve
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
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Riemann Sums
In this calculus worksheet, students solve prolbem in which they estimate double integrals by using Riemann sums. The three page worksheet contains four questions. Answers are not included.
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Review For Test On Chapter 8
High schoolers engage in a study that is intended to be a review for a calculus exam. They practice using a review study sheet to go over some of the major concepts. The review includes using parabolas, length of arc, and volume of...
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Solar Flare Reconstruction
In this solar flare reconstruction worksheet, students read about the 'saturation' point of satellite detectors when solar flares are at their most intense phase of brightness. Students are given x-ray flare data and they re-plot the...
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The Ant and The Turntable-Frames of Reference
In this frames of reference worksheet, students solve 5 problems given the details of a journey an ant takes from the center of a CD ROM to its edge. Students draw a scaled sketch of the turntable showing the motion of the ant from...
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Stokes' Theorem (and some review!)
In this calculus learning exercise, students answer 4 short answer questions each about Green's Theorem and Stokes' Theorem. Questions require students to rephrase each theorem and tell when they may be used. Students solve questions...
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Phasor Mathematics
In this mathematics worksheet, students solve 13 questions on series, factorial, phase mathematics and calculus. They define what phasor means.
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Linear Computational Circuitry
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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The Substitution Review Problems
In this college level calculus worksheet, students use trigonometric substitution to evaluate the given integrals. The one page worksheet contains eight problems. Answers are not included.
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Inductance
In this inductance instructional activity, students answer 20 questions about magnetic fields as they relate to inductors, inertia, transistors, and the flow of current through circuits.
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The Dawn Mission: Ion Rockets and Spiral Orbits
In this ion rocket and orbits worksheet, students read about the spiral orbit the Dawn spacecraft took due to its ion rocket motor. Students solve 3 problems including finding the path taken by the spacecraft, determining the total path...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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The Inverse Trigonometric Functions
In this Calculus learning exercise, 12th graders determine the derivative of inverse trigonometric functions and determine integrals. The one page learning exercise contains seven problems. Answers and solutions are...
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Lesson #94 Exact Area Under a Curve
Young scholars research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Climate and Periodic Functions: Science & Math Integration
High schoolers complete a lab that introduce the scientific concept of climate on Earth. Following the lab, they complete further research on climate. Using average monthly temperatures students construct a mathematical model and analyze...
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Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum activity, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
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Worksheet 25
In this math worksheet, students state the Fundamental Theorem of Calculus. Then they evaluate the functions and test them against the theorem.
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Taylor Seies
In this calculus worksheet, students find the Taylor series for each function adn give the interval where the series converges. The two page worksheet contains nine questions. Answers are not included.
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