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Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson plan, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
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Torricelli's Law
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
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Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
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Calculus Test
In this calculus worksheet, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics. The one page worksheet contains twenty-eight multiple choice questions. Answers...
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NUMB3RS Activity: Implicit Orbits
In this algebra worksheet, learners solve word problems using algebraic equations and implicit differentiation. There are 16 problems dealing implicit differentiation.
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Trigonometric Graphs
In this Trig activity, 12th graders identify and differentiate between trig graphs. They identify phase, translation and solve equations dealing with angles.
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The Fundamental Theorem
In this calculus worksheet, students solve equations and functions by taking the derivative of each equation. They apply the Fundamental Theorem of Calculus to their problems, as they solve for the limit and identify different graphs....
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Practicing the Chain Rules
In this calculus worksheet, students solve problems using the chain rule to take the derivative and solve the function. There are 6 questions which require the students to find the correct strategy to solve the equations.
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Integration By Parts
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
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Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the topic,...
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Young scholars use their TI calculators to graph the equation.
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Stability of Equilibrium Values
In this stability of equilibrium values worksheet, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page worksheet contains five...
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Math 155 - Worksheet 5. Derivative
In this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
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The Definition Derivative
In this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
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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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An Introdcution to Derive
Twelfth graders explore Derive. In 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, graphing in...
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Parametrics 1
In this parametric worksheet, students sketch given inequalities and use trigonometry functions to eliminate the parameters. They write equations of a line under given parameters. This four-page worksheet contains 11 multi-step problems.
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Complex Analysis: Complex Functions
In this complex function activity, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page activity contains approximately seven equations.
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Math 155 - Worksheet 10. Logarithm
In this logarithm activity, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page activity contains six...
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Find the Average Value of a Function
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Math 155: Worksheet 9 - Inverse Function
For this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
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Challenge Discussion Sheet 7
In this differential worksheet, students complete eight short answer problems. Four problems are story problems. Four problems are practice problems with the equations given.
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Challenge Discussion Sheet 3
In this function worksheet, students prove given limits, solve differentiate functions, identify points on a graph with tangent lines passing through given points, determine the radius of a largest sphere that can fit inside of a pyramid...