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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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Recursion, Roots and Newton's Methods
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
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Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
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Discussion Sheet 5: Differentiate Functions
In this differentiate function activity, students differentiate functions, determine intervals, and derive the equation of a line tangent to a graph of a function. This two-page activity contains eleven problems.
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Finding Extrema Graphically and Symbolically
For this extrema worksheet, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This eight-page...
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The Product and Quotient Rules
In this produce and quotient rule instructional activity, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page instructional activity...
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New Functions From Old, Part 1
In this function learning exercise, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page learning...
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Challenge Sheet 6: Fractions Decomposition
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
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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Discussion Sheet 9: Volume and Area
In this volume and area worksheet, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
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Continuous Functions
In this continuous function worksheet, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page worksheet contains...
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Worksheet 15: Velocity
In this velocity instructional activity, students read story problems, write equations and determine distance, velocity and time. They derive an equation for the function. This two-page instructional activity contains seven multi-step...
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Probability and Standard Deviation
In this probability and standard deviation worksheet, students answer 5 questions derived from one scenario that involving finding percentages.
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What Are You - Prime or Composite
Students explore the concept of prime factorization. In this prime factorization activity, students participate in an activity where they find the prime factorization and greatest common factor of a number derived from their name....
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AP Calculus Exam
In this calculus learning exercise, 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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Trapezoid and Midpoint Rule
Young scholars solve problems of area using the trapezoid and midpoint rule. In this calculus activity, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the...
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Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
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Food
For this culinary education worksheet, students read six sample menus from different restaurants and identify the type of culture the menu is derived from.
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Global Health: Hunger and Food Around the Globe
Students discuss hunger around the world and come up with a service project. In this global hunger lesson, students define vocabulary words and discuss service projects. Students derive a plan, carry it out, and reflect on the process of...
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Unit Circle and Triangle
Students apply the Unit Circle to solve ratios of triangles. For this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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Quotient Rule Worksheet
In this exponents worksheet, students rewrite the seven single exponents using the quotient rule.
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Quotient Rule Update
In this exponents worksheet, students rewrite the eight single exponents by using the quotient rule. There is an answer key included.
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Inverse Trig Functions: Chain Rule
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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The Little Prince and his Pendulum
In this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...
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