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Little Red Corvette
Students investigate the acceleration of a car. In this acceleration of a car lesson, students make a scatter plot of corvette acceleration data. Students find a model to fit the data by taking the integral of the curve...
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Complex Analysis: Applications of Cauchy-Goursat Theorem
In this Cauchy-Goursat Theorem, students sketch and classify domains. They evaluate integrals and explore the analytic function. This two-page activity contains approximately ten problems.
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Simpson's Rule
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Divergence and Convergence
In this divergence and convergence worksheet, students complete a comparison test for improper integrals. This four-page worksheet contains approximately ten problems.
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Basic Calculus II: Techniques of Integration
In this differentiation learning exercise, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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Integrating Math and Sports Project
Students work in pairs to choose a set data from one of the sports websites for their chosen sports. They find the mean, median, mode, and range of their data set. Students create a graph on Microsoft Excel and write several...
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Integration: Statistics, Measures of Central Tendency
Learners find the mean, median, and mode for each of four data sets. They are given two line plots, and compute the median and mode of the shown data. They find the median and mode for three stem and leaf plots. They solve two word...
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Integrating Art Into Other Content Areas
Here are some ideas to help add an art lesson to every math, science, social studies, or language arts unit.
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Functions
In this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...
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AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
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Integrating Science and Literacy Through Novel Studies
You can use "The Toothpaste Millionaire" and other outstanding fiction to integrate science and literacy.
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
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Euler Encore 1
For this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...
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Chalkboard Relay-PE Lesson
In the instructional activity, Chalkboard Relay-PE Lesson, students benefit from physical and mental activities. Students will compete in teams using running and addition problems as the determinant factors of which team wins. ...
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Using the Balance
Students determine the mass of various objects. In this integrated math and science lesson, students use an arm balance to compare a known object to a combination of washers with a fixed weight. Students record data, construct a bar...
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How to Build an Electric Motor
Sixth graders build a working motor. For this lesson on motors, 6th graders use an inquiry method of learning to discover how to create a working electric motor with the supplies given to them. The teacher will guide them as needed....
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Math 312 Spring 2004: Application of Cauchy Integral Formula
In this integral formula worksheet, students identify the value of the real integral and find the roots of the quadratic. Students explain the Cauchy Integral. This two-page worksheet contains five problems.
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Multivariable Calculus: Multiple Integration
In this multiple integration learning exercise, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and curves....
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Illegal Integrals
In this illegal integral worksheet, students identify illegal integrals, and indicate the limits of integration. This two-page worksheet contains twelve problems.
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Integration by Parts and/or Integration Substitution
In this integration by parts worksheet, students evaluate integrals by using parts. This two-page worksheet contains three problems.
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Math 312 Spring 2004: Complex Integration
In this complex integration instructional activity, students use contour integration to find the area of odd shapes in a plane. This two-page instructional activity contains four multi-step problems.
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Complex Analysis: Applications of Residues to Real Integrals
In this real integral worksheet, students use the applications of residues to evaluate real integrals. This two-page worksheet contains four problems.
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Multivariable Calculus: Iterated Integration
In this iterated integration learning exercise, students evaluate iterated integrals over rectangular and non-rectangular regions. This two-page learning exercise contains explanations and examples. It contains three problems for...
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