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Related Rates
Twelfth graders define and investigate problems involving rates. In this calculus lesson, 12th graders complete worksheets with word problems dealing with related rates, distance and time. They complete review problems on the board...
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Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson plan, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
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Intuitive Approach to Limits
Students view examples of art work that illustrate limits in calculus. Students will lecture on limits and then complete practice drill. This lesson does not include a defined procedure or practice problems. All the art links work but...
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Lesson #20 Rates of Change and Velocity
Young scholars investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the...
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Definition of the Derivative
Students find the derivatives of functions. In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function. Students discuss scenarios in which the derivative does...
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Implicit Differentiation
Students implicitly differentiate functions . For 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 for a...
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Area Between Two Curves
Twelfth graders identify and find the area between two curves. In this calculus lesson, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas between...
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AP Exam Rubrics/ Four Color Theorem
Twelfth graders review free response questions that are present on the AP exam. In this calculus lesson, 12th graders analyze the 4 color theorem that proved 4 colors were enough to color a map while still separating adjacent countries....
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Implicit Differentiation
Students define and use implicit differentiation to solve equations. In this calculus lesson, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
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Lesson #51 Derivatives of Logarithms
Twelfth graders investigate derivatives of logarithms. For this calculus lesson, 12th graders explore the procedure for taking the derivative of logarithms to any base.
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Lesson #55 Test on Logarithms and Exponentials
Twelfth graders assess their knowledge of logarithmic and exponential functions. In this calculus activity, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions. Students apply the...
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Functions/Domain
Students differentiate their problems to find functions and non-functions. In this calculus lesson, students relate functions and relation through similarities and differences. They rewrite equations that are functions using f(x).
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Computation of Limits
Students discuss the importance of limits as it relates to calculus. In this calculus lesson, students define limit and memorize the three rules of limits. They work problems to enhance their understanding of how limits function.
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Limits of Trigonometric Functions
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
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Limits with a Calculator
Young scholars investigate Limits using a graphing calculator or TI. In this calculus lesson, students solve limit problems through modeling and relation to the real world. They use correct notation and solve problems involving more than...
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Product Rule
Students define the product rule and use it to solve problems. In this calculus lesson, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by proving...
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Differentials
Students investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation and circle. They...
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Logariths
Students analyze, discuss and memorize the properties of logs. In this calculus lesson, students apply the rules of logs while playing a timed game to see which group can write the equations correctly. They walk away from this lesson...
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L'Hopital's Rule
Students solve limit problems. For this solving limit problems lesson, students use L'Hopital's Rule. Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is zero. Students...
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The Exact Differential
Learners integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Learners integrate...
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Calculus Worksheet: Limits of Functions (2)-Squeeze Theorem
For this limits of functions worksheet, students find the limits of 4 functions. In this limits worksheet, sstudents are given two functions. They find the limits of multiplying these two functions. Students find the limits of three more...
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Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank activity, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
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Charging Up, Charging Down: Exponential Models
Students collect and analyze voltage data. In this math instructional activity, students investigate exponential functions using the TI and a Voltage Probe. They graph their data and analyze it using a table.
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Eigenvalues, Eigenvectors, and Diagonalization
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.