{"results":"
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 19\n

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\n\nFor Students\n\n6th - Higher Ed\n
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\nIn this math worksheet, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 9 Practice Test 1\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, learners find the solutions to the differential equations. Then they examine the group of equations in order to determine the ones that are linear.\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 33 Spring 1996\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 2\n

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\n\nFor Students\n\nHigher Ed\n
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\nDirections in this instructional activity direct the students to use any method they can to solve the equations, which are all differential equations. This activity could be used as a homework assignment, a class project, or a quiz.\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 15 Computer Lab\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.\n
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Lesson Plan
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\n\"A.P.\n\n
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\nCurated OER\n
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\nA.P. Exam Review\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nPupils engage in a lesson that is concerned with the cumulative concepts introduced in a Calculus course. They review exponential growth and how it is used to measure increase in values. Students also apply the use of the differential...\n
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Lesson Plan
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\n\"Slope\n\n
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\nCurated OER\n
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\nSlope Fields\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...\n
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Lesson Plan
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\n\"Differential\n\n
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\nCurated OER\n
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\nDifferential Equations and Population Growth Lesson\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents calculate the size of the population at a given time, for a population that grows at a rate that is directly proportional to the number of members present in the population. They also calculate the time at which the population...\n
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Handout
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\n\"Math\n\n
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\nHappy Maau Studios\n
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\nMath Ref\n

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\n\nFor Students\n\n7th - 12th\n
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\nForgot how to multiply matrices? Well, this app can help. It is like a gigantic, well-organized reference card for all things math. Customize your personal reference material by adding your own notes and build up a personalized list of...\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Differentiation\n\n
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\nCurated OER\n
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\nDifferentiation\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems. \n
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Lesson Plan
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\n\"Euler's\n\n
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\nCurated OER\n
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\nEuler's Method Introduction\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.\n
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Lesson Plan
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\n\"Infestation\n\n
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\nCurated OER\n
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\nInfestation to Extermination\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.\n
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\n\"Torricelli's\n\n
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\nCurated OER\n
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\nTorricelli's Law\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nInvestigate 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...\n
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\n\"Exponential\n\n
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\nCurated OER\n
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\nExponential Functions and the Natural Logarithm\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nStudents solve exponential and log functions. In this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs. \n
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Lesson Plan
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\n Euler's Method\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.\n
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Worksheet
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\n\"Differentiation\n\n
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\nCurated OER\n
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\nDifferentiation of Inverse Functions\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, students solve three problems regarding the differentiation of inverse functions.  Students are also asked to show that a function is one to one and to evaluate functions at a given value.\n
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Lesson Plan
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\n\"The\n\n
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\nCurated OER\n
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\nThe Calculus Whiz Who Owned a Box Company\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nYoung scholars use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Calculus: Differential of a Vector Valued Function\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson reviewing position vector valued functions and their derivatives. Explanation does not contain any specific examples. [5:04]\n
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Unit Plan
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\n\"Math\n\n
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\nMathematics Archives\n
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\nMath Archives: Visual Calculus: Differentiation Formulas\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site gives the definition of a derivative, discusses the derivative of a constant function, gives general operations to use on functions with derivatives (scalar multiplication, addition, and the power rule). The site has multiple...\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Calculus (Textbook Study Guide)\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.\n
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\n\nGet Free Access\n\nSee Review\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Calculus (Textbook Instructor's Manual)\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.\n
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\n\nGet Free Access\n\nSee Review\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Calculus (Textbook)\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"New\n\n
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\nNew York Times\n
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\nNew York Times: Steven Strogatz on the Elements of Math Series the New York Times\n

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\n\nFor Students\n\n9th - 10th\n
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\n[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...\n
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\n\nGet Free Access\n\nSee Review\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Single Variable Calculus\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of educational materials about single variable calculus. Video lectures, readings, syllabus, exams, and assignments are included.\n
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\n\nGet Free Access\n\nSee Review\n
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