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ResourceSpotlight
Students explore methods for computing integrals of functions not in one of the standard forms. The focus here is upon the use of substitution to transform the given integral into a standard form. The approach taken is largely symbolic and makes full use of the computer algebra facilities of TI-Nspire CAS. Prepared algebraic spreadsheets are utilized for skill development and consolidation.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will graphically investigate the Fundamental Theorem of Calculus and properties of definite integrals. Self-check questions engage students and deepen understanding of the topic. Multiple choice exam-like questions are also included.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes. Since volume is the area of the base times the height and dV = Area dx, student review areas of various shapes like squares, semicircles, and equilateral triangles. Geometry Trace is used to help students get a “3D” visual of the volume under consideration.
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Texas Instruments, Inc.
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ResourceSpotlight
In previous activities, students have explored the differential calculus through investigations of the methods of first principles, the product and quotient rules. In this activity the product rule becomes the basis for an integration method for more difficult integrals.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will use TI-Nspire technology to find the area between two curves while determining the required amount of concrete needed for a winding pathway and stepping stones.
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Texas Instruments, Inc.
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ResourceSpotlight
Students are asked some exam-like multiple-choice questions to introduce separable differential equations. Students will use the "deSolve" command to find general and particular solutions to differential equations. They will also dynamically explore the family of particular solution to a differential equation.
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Texas Instruments, Inc.
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ResourceSpotlight
Students are introduced to the important topic of simple harmonic motion in terms of the motion on a swing. Using multiple representations to support understanding, students derive the defining formulas first, beginning with the trigonometric relationship between time and displacement, and differentiation to the form for acceleration, and then by integration from acceleration back to displacement. This activity provides an introduction to differential equations.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will investigate the arc length of the Gateway Arch. They will use the Pythagorean Theorem to approximate and use Calculus to find the exact solution. They will also use CAS capabilities (including the arcLen command), to solve a variety of arc length questions.
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Texas Instruments, Inc.
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ResourceSpotlight
Students explore methods for computing integrals of functions not in one of the standard forms. The focus here is upon the use of substitution to transform the given integral into a standard form. The approach taken is largely symbolic and makes full use of the computer algebra facilities of TI-Nspire CAS. Prepared algebraic spreadsheets are utilized for skill development and consolidation.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will use TI-Nspire technology to find the area between two curves while determining the required amount of concrete needed for a winding pathway and stepping stones.
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Texas Instruments, Inc.
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