Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
Curated OER
Product Rule
In this calculus worksheet, students find the derivative of a function. They use the product rule to to differentiate each problem. There are 21 problems with an answer key.
Curated OER
Higher Order Derivatives
In this math activity, students explore the concept of higher order derivatives. They also use the example to find the fourth order Taylor expansion.
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Applications of Derivatives: Optimization
For this optimization worksheet, students write a short essay listing the criterion for global minimum. They write directions for finding the global minimum on a closed or open interval.
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Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
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Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...
Curated OER
Home Spelling Practice: Words From French
This worksheet asks middle schoolers to copy words derived from French. While rigor is absent from this assignment, it could be altered slightly to require more thought. Instead, ask that class members look up each English word in a...
EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
West Contra Costa Unified School District
Law of Sines
One must obey the sine laws. A instructional activity introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the instructional...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
Curated OER
Derivatives Rules
In this calculus worksheet, 12th graders use the derivative rules to determine the derivative of a function. The one page worksheet has twenty-six problems. Solutions are not provided.
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Application of Differentiation: Optimization
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
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Motion of a Bouncing Ball
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
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Differentiability and Linear Approximation
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
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AP Calculus Practice Exam
For this Calculus worksheet, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...
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The Product and Quotient Rules
In this derivatives activity, students solve nine short answer problems by multiplying or dividing with derivatives. They answer one true/false question. Students solve five short answer questions.
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Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable. Students find the derivative of an equation...
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A.P. Calculus - First Semester Esxamination
In this calculus exam worksheet, students solve 40 multiple choice and short answer questions. Students find normal lines, derivatives of functions, evaluate functions at points, etc.
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Product Rule
High schoolers investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the lesson to help find the solutions to...
Curated OER
Worksheet 17
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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Worksheet 30
In this math activity, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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Worksheet 22-Fall 1995
For this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Worksheet 20 Fall 1995
In this math activity, students describe a step by step method to solve rate problems. Then they state the time derivatives of different quantities.
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Math 155 - Worksheet 7. Function
For this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.
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