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ESP Quiz 5

For Students 12th - Higher Ed
Test your students with this integrals quiz, which prompts students to evaluate five indefinite integrals. The final problem directs students to solve two ways: first, they evaluate using u-substitution, then, integration by parts.
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Numerical Integration

For Students 11th - 12th
For this numerical integration worksheet, students find intervals and subintervals. They identify pictures and name the approximate integral. This two-page worksheet contains approximately 25 problems.
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Ruby Bridges & School Integration

For Teachers 5th - 8th
Students explore school integration issues. In this Civil Rights Movement lesson, students read Through My Eyes by Ruby Bridges and school integration and then write reflections about difficult experiences.
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Calc 3 Review Problems - Function

For Students 12th - Higher Ed
In this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...
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Basic Calculus II: Quiz 7

For Students Higher Ed
In this improper integrals worksheet, students explain the reasons each of three integrals may be considered improper. They evaluate each by determining if it converges to a number or diverges.
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Integration of Education

For Teachers 9th - 12th
Learners explore the history of Civil Rights and how the struggle for Civil Rights and the Second Reconstruction, transformed society and politics in the United States in the 1950s. Then they identify why American Schools are integrated...
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Worksheet 6

For Students 12th - Higher Ed
In this integral worksheet, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
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Worksheet 7

For Students 12th - Higher Ed
In this integral worksheet, students are given 42 short-answer problems regarding rates, proportions, integrals, graphing, differentiable functions, and average values.
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Average Value of Functions

For Students 10th - Higher Ed
In this integrals and average value worksheet, students problem solve thirty equations or word problems involving average value of functions, volume and integrals.
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Challenge Sheet 3: Average Value of a Function

For Students 12th - Higher Ed
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Challenge Sheet 6: Fractions Decomposition

For Students Higher Ed
In this fractions decomposition worksheet, students set up partial fractions decomposition for rational functions. They use any method to integrate problems and derive recursion formulas for integrals. This one-page worksheet contains...
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Discussion Sheet 8: Area

For Students 12th - Higher Ed
In this area worksheet, students use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page worksheet...
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ESP Quiz 4

For Students 12th - Higher Ed
Learners solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
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ESP Quiz 9

For Students Higher Ed
In this improper integrals worksheet, students evaluate four computation (short answer) problems. They use L'Hopital's rule for the fourth problem.
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Little Red Corvette

For Teachers 11th - 12th
Pupils investigate the acceleration of a car.  For this acceleration of a car lesson, students make a scatter plot of corvette acceleration data.  Pupils find a model to fit the data by taking the integral of the curve created...
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Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
In this calculus activity, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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Complex Analysis: Applications of Cauchy-Goursat Theorem

For Students Higher Ed
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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Math 224 Multivariable Calculus/ Bonus Quiz 9A

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems that involve integrals. They take the quiz applying the rules and showing all the work for the two problems.
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Math 224 Multivariable Calculus Quiz 10

For Students 11th - Higher Ed
In this math worksheet, students practice using the rules for solving problems with integrals. They are directed to show all work completely for the two problems.
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Discussion Sheet 5: Limits and Sequences

For Students Higher Ed
In this limits and sequences worksheet, students determine the limits of given sequences and convert triple integrals into rectangular and cylindrical coordinates. They sketch graphs in a three dimensional space. This one-page...
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Discussion Sheet 3

For Students 11th - Higher Ed
In this math learning exercise, students determine the maximum and minimum values for the functions. Then they evaluate the double integrals.
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Simpson's Rule

For Students Higher Ed
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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Introduction to Substitution

For Students 11th - Higher Ed
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Divergence and Convergence

For Students 12th - Higher Ed
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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