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Thermodynamics

For Students Higher Ed
In this thermodynamics learning exercise, students review enthalpy, state functions, bond energy, and heat capacity. This learning exercise has 2 multiple choice, 6 matching, and 12 problems to solve.
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AP Calculus Exam

For Students 10th - 11th
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
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Introduction to the Constitution: The First Three Articles of the Constitution, Separation of Powers

For Teachers 9th - 12th
Students review the first three articles of the United States Constitution. In groups, they examine the three branches of government and their function. They follow the path of a bill until it becomes law and discuss Congress' role.
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Social Studies - Concentration Camps - 1

For Teachers 6th - 10th
Students compare and contrast concentration camps. In this World War II lesson, students examine photographs and documents from Jewish concentration camps in an effort to understand their function. Students complete worksheets that...
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Challenge Discussion Sheet 10: Limits

For Students Higher Ed
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
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Commonly Asked Questions on Vision and Color Perception

For Teachers 9th - 12th
Students commonly ask question about vision and color perception which may be difficult to answer without taking. They use this module that contains a list of questions which often arise when biology students are studying the nervous...
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Complex Analysis: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
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Introduction to Integration by Substitution

For Students 11th - Higher Ed
In this math worksheet, students read the definition for the Chain Rule. Then they examine the functions and calculate the derivatives.
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Applying the Fundamental Theorem of Calculus

For Students Higher Ed
For this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
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The Product and Quotient Rules

For Students Higher Ed
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
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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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Worksheet 15: Velocity

For Students 12th - Higher Ed
In this velocity worksheet, students read story problems, write equations and determine distance, velocity and time. They derive an equation for the function. This two-page worksheet contains seven multi-step problems.
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Integrations Applications

For Students 11th - 12th
For this algebra worksheet, students solve functions using integration and the derivative to find the area and volume of a curve. There are 11 questions.
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Power and Maclaurin Series

For Students 11th - 12th
In this calculus activity, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
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Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
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Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule

For Students Higher Ed
In this related rates problem instructional activity, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page...
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The Shortest Distance

For Teachers Higher Ed
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
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Curve Sketching

For Students 11th - 12th
In this calculus instructional activity, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
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Transformations

For Teachers 10th
Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...
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Kepler's Third Law

For Teachers 9th - 12th
Learners use Kepler's third law to derive the velocity in a circular orbit of any radius, and identify the Earth escape velocity.
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Minimize Perimeter

For Teachers 6th - 8th
Students practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area. They use...
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Minimize Perimeter -- Lecture

For Teachers 6th - 8th
Students are introduced to the concept of perimeter. As a class, they listen to a lecture describing the derivations of a function that describes perimeter. They calculate the minimum perimeter of a rectangle and determine the numbers...
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Calculus Test

For Students 11th - 12th
In this calculus worksheet, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics.  The one page worksheet contains twenty-eight multiple choice questions. ...
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Ceramics: A Vessel into History

For Teachers 9th - 12th
Students produce a ceramic vessel based on elements derived from historical examples.