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Derivatives
Learners define and review derivatives rules. In this calculus lesson, students watch a movie on derivatives, solve examples with the teacher and review the important concepts that make solving a derivative work. They write a summary of...
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Review for Test on Derivatives.
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...
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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...
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Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
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Worksheet 13 - Implicit Differentiation
In this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
K20 LEARN
Make It Fit
Of course, calculus can help you build the largest box possible. Scholars play a digital game to gain familiarity with situations where optimization would be appropriate. After gaining a solid conceptual understanding of optimization,...
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Graph Of The Derivative
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
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Definition Of The Derivative
High schoolers engage in a instructional activity that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the instructional activity. Students then...
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Derivatives Of The 6 Inverse Trig Functions
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson. Students can take part in using the example problems for independent...
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Product Rule
Students 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...
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson plan introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to...
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Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus instructional activity, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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An Introdcution to Derive
Twelfth graders explore Derive. For this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle,...
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The Calculus Whiz Who Loved Candy
Pupils develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
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Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. In this calculus instructional activity, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
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Lesson #51 Derivatives of Logarithms
Twelfth graders investigate derivatives of logarithms. In this calculus lesson plan, 12th graders explore the procedure for taking the derivative of logarithms to any base.
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Surfing the Waves
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
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River Optimization Problem
Learners define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson plan, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
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Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
Texas Instruments
Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.