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Little Red Corvette
Students investigate the acceleration of a car. In this acceleration of a car lesson plan, 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 worksheet contains approximately ten problems.
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Simpson's Rule
In this Simpson's Rule learning exercise, 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...
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Divergence and Convergence
In this divergence and convergence instructional activity, students complete a comparison test for improper integrals. This four-page instructional activity 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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Math TODAY - Breast Cancer Risks
Learners explore data that be modeled by a logistic function. They have the opportunity to study real-life data and create a mathematical function to model the data and make a prediction.
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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 activity, learners 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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The Region Between Two Curves
Learners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...
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Euler Encore 1
In this math worksheet, young scholars 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...
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Chalkboard Relay-PE Lesson
In the lesson, 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. Moreover, students will...
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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. In this lesson plan 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 instructional activity, students identify the value of the real integral and find the roots of the quadratic. Students explain the Cauchy Integral. This two-page instructional activity contains five problems.
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Multivariable Calculus: Multiple Integration
In this multiple integration activity, 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 activity, students evaluate integrals by using parts. This two-page activity contains three problems.
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Math 312 Spring 2004: Complex Integration
In this complex integration learning exercise, students use contour integration to find the area of odd shapes in a plane. This two-page learning exercise contains four multi-step problems.
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