Worksheet
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AP Calculus Practice Exam

For Students 11th - 12th
For this Calculus worksheet, students are provided with questions that are reflective of the content of their exam.  Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and...
Lesson Plan
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Exploring the Witch of Agnesi

For Teachers 9th - 12th
students construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
Lesson Plan
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Formula Determination

For Teachers 9th - 12th
Students derive a formula for the interior degrees in any convex polygon. In this geometric figure lesson, students determine the shapes of various polygons and the number of triangles formed. They use this information to derive the...
Lesson Plan
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Reading Word Recognition, Fluency, and Vocabulary

For Teachers 11th
Eleventh graders analyze words that derive meaning from Greek, Roman, and Norse myths. In this myth vocabulary activity, 11th graders work in learning groups as visual learners, kinesthetic learners, and artistic learners to identify the...
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Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Simple Harmonic Motion

For Teachers 10th - 12th
Young scholars solve problems involving graphs. In this calculus lesson, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Learners perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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FUN WITH MAPS

For Teachers 2nd
Second graders receive a general overview about how maps are made and used, how specific information can be derived from them, and how a student can gain personal information about their surroundings from examining them.
Lesson Plan
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Bubbles Everywhere!

For Teachers 8th
Eighth graders use concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes. This lesson is a fun way to practice measurement and circle and...
Lesson Plan
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Slope Calculation

For Teachers 8th - 10th
Students compute the slope of a line that passes through two points and explain how the slope formula is derived. They determine properties associated with positive, negative, undefined, and no slope.
Lesson Plan
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When is Humanitarian Intervention Justified?

For Teachers 10th - 12th
Students analyze different foreign policies to derive their own idea of what constitutes appropriate intervention by a government. They complete a detailed proposal for their own Declaration of Human Rights.
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Garbage 2: Recycling

For Teachers 3rd - 5th
Students apply what they have learned about throwaway products "and the valuable natural resources from which they're derived" by thinking about where garbage goes after they throw it out. They also examine their own ideas and habits...
Lesson Plan
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Play Dough Day

For Teachers 12th
Twelfth graders build a model of the following figures with the base from column I and the cross-section from column II. Draw the base with labeled axes on the graph paper and construct the figure on top of the base with the play dough...
Lesson Plan
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Finding Areas of Plane Figures

For Teachers 9th - 10th
Students compute areas of squares, rectangles, and so on and summarize the formulas for computing areas and explain how the formulas are derived and understand the reasoning behind them.
Lesson Plan
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Reflections of a Linear Function

For Teachers 9th - 12th
Students reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions using the website www.explorelearning.com.
Lesson Plan
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Exploring the Brasseries of Paris

For Teachers 9th - 12th
Students read and comprehend materials written for French native speakers; use cognates and contextual visual clues to derive meaning from texts that contain unfamiliar words, expressions, and structures; identify subtleties of meaning...
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Layers Upon Layers

For Teachers 6th - 8th
Young scholars model how layers of sediments are deposited. They use logic to derive rules or laws that can be used to examine layers of sediment in a cup and apply it to the real world.
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Minima/Maxima

For Students 10th - 12th
In this minima/maxima worksheet, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations. There are...
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Worksheet 14 Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students answer the questions in the context of either being true or false. The topics covered include derivatives and differential equations.
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Math 155: Worksheet 9 - Inverse Function

For Students Higher Ed
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
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Complex Analysis: Theorems Following Cauchy's Integral Formulas

For Students Higher Ed
For this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
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Math 155 - Worksheet 10. Logarithm

For Students Higher Ed
In this logarithm worksheet, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page worksheet contains six...
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Complex Analysis: Complex Function

For Students Higher Ed
In this complex function worksheet students identify the derivative of given functions and explore the rules of differentiation. This two-page worksheet contains explanations and examples, followed by ten problems.
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Functions of Two Variables

For Students Higher Ed
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...

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