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\n\n73\nItems in Unit\n\n
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\nAP Calculus AB Unit 5: Analytical Applications of Differentiation\n

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\n\nFor Students\n\n11th - 12th\n
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\nFourteen lessons make up Unit 5 - Analytical Applications of Differentiation of the AP Calculus AB module. For each lesson, scholars watch a short video explaining a process and then complete provided practice problems to gain mastery....\n
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\n\n46\nItems in Unit\n\n
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\nAP Calculus AB Unit 4: Contextual Applications of Differentiation\n

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\n\nFor Students\n\n11th - 12th\n
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\nThe eight lessons in AP Calculus AB Unit 4 focus on the contextual applications of differentiation. Each lesson includes an overview, an instructional video, practice problems, and solutions. Scholars first review the connection between...\n
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\n\n73\nItems in Unit\n\n
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\nAP Calculus AB Unit 6: Integration and Accumulation of Change\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nThe 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...\n
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\n\nGet Free Access\n
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AP Test Prep19:26
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\n\"Calculus\n\n
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\nCalculus AB/BC - Determining Concavity of Functions over Their Domains\n

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\n\nFor Students\n\n10th - 12th\n
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\nTime to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...\n
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\nFamilies of Functions Sort\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nHave some fun with functions with a short activity that asks learners to first sort scatter plot in terms of their correlation. They then sort graphs of different types of functions in terms of key features, such as slope.\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep14:15
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1
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\n\"Calculus\n\n
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\nCalculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative\n

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\n\nFor Students\n\n10th - 12th\n
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\nUncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...\n
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Worksheet
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\n\"Senior\n\n
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\nCurated OER\n
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\nSenior Analysis: Graphing Rational Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nBudding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.\n
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\n\nGet Free Access\n\nSee Review\n
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Assessment
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\n\"Identifying\n\n
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\nIllustrative Mathematics\n
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\nIdentifying Quadratic Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nPut your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...\n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Worksheet\n\n
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\nWorksheet 13: Slope and Concavity\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this function worksheet, students determine the equation of a line, compute slope and concavity of a graph, and find the maximum volume of three-dimensional figures. This one-page worksheet contains six multi-step problems.\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep9:02
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1
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\n\"Calculus\n\n
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\nCalculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area\n

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\n\nFor Students\n\n10th - 12th\n
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\nAccumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...\n
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Instructional Video7:07
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\n\"Inflection\n\n
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\nInflection Points and Concavity\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nConfused about concavity? Here's the perfect video. Young mathematicians watch a video that explains the process of using the second derivative to determine inflection points and the concavity of a function. An example reinforces the...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep11:24
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\n\"Calculus\n\n
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\nCalculus AB/BC - Approximating a Function's Value Using Local Linearity\n

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\n\nFor Students\n\n10th - 12th\n
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\nNo need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...\n
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Lesson Plan
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\n\"Concavity\n\n
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\nConcavity of a Graph\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.\n
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Worksheet
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\n\"Functions\n\n
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\nCurated OER\n
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\nFunctions and Differentiation\n

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\n\nFor Students\n\n11th - 12th\n
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\nFor this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.\n
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Handout
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\nUsing Derivatives to Graph Polynomials\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nYou can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...\n
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Worksheet
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Derivatives: Concavity and Optimization\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...\n
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Worksheet
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\n\"Rate\n\n
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\nCurated OER\n
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\nRate Equations, Slope Functions and Concavity\n

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\n\nFor Students\n\nHigher Ed\n
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\nFor this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples....\n
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Lesson Plan
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring Functions and Their Derivatives\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nStudents explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.\n
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Worksheet
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\n\"Teen\n\n
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\nCurated OER\n
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\nTeen Pregnancy: Investigating Cubic Functions\n

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\n\nFor Students\n\n7th - 12th\n
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\nIn this teen pregnancy worksheet, students use a scatter plot and cubic functions to solve word problems about teen pregnancy. Students complete 7 problems.\n
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Worksheet
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\n\"Find\n\n
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\nCurated OER\n
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\nFind the Average Value of a Function\n

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\n\nFor Students\n\n11th\n
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\nIn 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.\n
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Assessment
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\n\"Identifying\n\n
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\nIllustrative Mathematics\n
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\nIdentifying Quadratic Functions (Vertex Form)\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nPupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...\n
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Lesson Plan
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\n\"Matching\n\n
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\nWest Contra Costa Unified School District\n
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\nMatching Quadratic Functions\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nEver sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through...\n
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Instructional Video9:58
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\n\"All\n\n
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\nKrista King Math\n
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\nAll About Graph Sketching!!\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nThere's nothing sketchy about a helpful graphing resource. An informative video shows how to sketch graphs of functions. Scholars first apply derivatives to determine increasing/decreasing behavior, concavity, and asymptotes. They then...\n
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Instructional Video5:52
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\n\"Could\n\n
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\nPhysics Girl\n
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\nCould You Replace Your Eye with a Camera?\n

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\n\nFor Students\n\n9th - Higher Ed\n\nStandards\n
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\nEyeballs or cameras—which have the best functions? The video presentations compare the important functions of the eyeball and the camera. As technology changes, cameras become more impressive, but the eyeball still out-functions the...\n
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\n\nGet Free Access\n\nSee Review\n
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