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Rates Problems
Learners engage in a instructional activity that is about the concept of using rates in the context of finding the solution using different types of problems provided in the lesson plan. The instructional activity includes a review of...
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Review For Test On Chapter 5
Students engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The lesson plan includes an outline of review that should be used by the teacher...
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Quotient Rule
Students differentiate functions. In this differentiating functions lesson plan, students use the quotient rule to differentiate functions. Students use the quotient rule to differentiate rational functions such as a quadratic function...
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The Benthic Drugstore
Learners identify at least three pharmacologically- active chemicals derived from marine invertebrates. They describe the disease-fighting action of at least three pharmacologically-active chemicals derived from marine invertebrates.
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Kepler's 3rd Law
High schoolers derive the velocity in a circular orbit of any radius. They derive the Earth escape velocity and prove Kepler's 3rd law for circular orbits # A simple formula for the orbital period in a circular Earth orbit of given radius.
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Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
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Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula worksheet, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
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Complex Analysis: Analyticity and the Cauchy-Riemann Equation
In this analyticity and Cauchy-Riemann worksheet, students determine the domain of a function, explore its derivatives, and list its component functions. This two-page worksheet contains eleven problems, as well as explanations and...
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The Product and Quotient Rules
In this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
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Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus
For this logarithms worksheet, students evaluate and solve equations with logarithms. They derive the formula for a derivative of a given function. Students explain the differences between logarithms. This one-page worksheet contains...
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AP Calculus Practice Exam
In 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 integration. The one...
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Exploring the Witch of Agnesi
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. ...
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Formula Determination
High schoolers derive a formula for the interior degrees in any convex polygon. For this geometric figure lesson, students determine the shapes of various polygons and the number of triangles formed. They use this information to derive...
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Reading Word Recognition, Fluency, and Vocabulary
Eleventh graders analyze words that derive meaning from Greek, Roman, and Norse myths. In this myth vocabulary lesson, 11th graders work in learning groups as visual learners, kinesthetic learners, and artistic learners to identify the...
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, 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
Students 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
Young scholars perform operation with secant and tangent lines. For 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...
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FUN WITH MAPS
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.
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Bubbles Everywhere!
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...
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Slope Calculation
Learners 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.
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When is Humanitarian Intervention Justified?
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
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...
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Play Dough Day
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...
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