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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\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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Activity
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\n\"Authentic\n\n
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\nWake Forest University\n
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\nAuthentic Activities for Connecting Mathematics to the Real World\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nCheck out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...\n
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AP Test Prep
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\nCalculus AB/BC Unit 4 Review: Analytical Applications of Differentiation\n

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\n\nFor Students\n\n10th - 12th\n
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\nIt's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding. \n
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AP Test Prep
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\n\"2004\n\n
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\nCollege Board\n
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\n2004 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nThe test is not all about skills. The six free-response questions contain two real-world application problems. Those items deal with populations and velocities. The other four questions ask pupils to show their knowledge of calculus...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep16:31
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\n\"Calculus\n\n
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\nCalculus AB/BC - Exponential Models with Differential Equations\n

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\n\nFor Students\n\n10th - 12th\n
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\nExponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...\n
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AP Test Prep
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\n\"2011\n\n
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\n2011 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nSo this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...\n
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AP Test Prep
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\n\"2003\n\n
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\nCollege Board\n
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\n2003 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nGet a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...\n
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AP Test Prep
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\n\"2005\n\n
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\n2005 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nLet's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...\n
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AP Test Prep5:50
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\nCalculus AB/BC - Interpreting the Derivative in Context\n

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\n\nFor Students\n\n10th - 12th\n
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\nPut math in a real-life context to increase connections to the concept. Pupils view a short video that first reviews the connection between derivatives and rates of change. They learn how to interpret the derivative in contextual...\n
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AP Test Prep
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\n\"2011\n\n
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\nCollege Board\n
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\n2011 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nHalf are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...\n
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AP Test Prep
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\n\"2007\n\n
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\nCollege Board\n
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\n2007 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nThere is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...\n
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Instructional Video12:39
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\nWhat Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIt seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.\n
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AP Test Prep
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\n2007 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nWhat do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...\n
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AP Test Prep12:33
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\nCalculus AB/BC - Determining Intervals on Which a Function is Increasing or Decreasing\n

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\n\nFor Students\n\n10th - 12th\n
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\nGoing up? Wait, it might be going down! Learners watch a video to see how to use the derivative and critical points to find where a function is either increasing or decreasing. Individuals use the rate of change to solve real-world...\n
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Lesson Plan
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\n\"Take\n\n
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\nTake Your Medicine 2\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nReal-world application of the finite geometric series. Sick? Need to take Ampicillin? How much is in the body at any given point in time as this medication is taken over the course of time. Use the formulas, make calculation, and graph...\n
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Lesson Plan
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\n\"Calculus\n\n
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\nCurated OER\n
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\nCalculus at the Battle of Trafalgar\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nStudents read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in...\n
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AP Test Prep12:17
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\nCalculus AB/BC - Solving Related Rates Problems\n

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\n\nFor Students\n\n10th - 12th\n
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\nA solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...\n
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AP Test Prep6:53
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\nCalculus AB/BC - Rates of Change in Applied Contexts Other Than Motion\n

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\n\nFor Students\n\n10th - 12th\n
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\nStay a while—and learn about rates of change. Scholars learn about rates of change not related to motion by watching an informative video. They see how to interpret derivatives in different contexts, paying particular attention to...\n
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Instructional Video22:20
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\n\"Taylor\n\n
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\nTaylor Series | Essence of Calculus, Chapter 10\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.\n
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Lesson Planet Article
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\n\"Promote\n\n
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\nPromote Precalculus\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nUse projects, real-world activities, and games to bring precalculus to life for students.\n
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AP Test Prep7:06
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\nCalculus AB/BC - Modeling Situations with Differential Equations\n

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\n\nFor Students\n\n10th - 12th\n
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\nDifferentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...\n
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Assessment
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\n\"End-of-Module\n\n
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\nEnd-of-Module Assessment Task: Pre-Calculus Module 4\n

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\n\nFor Students\n\n11th - 12th\n\nStandards\n
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\nChallenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...\n
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Worksheet
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\n\"Using\n\n
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\nUsing a \"Natural Function\" not a equation to discuss derivatives\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this derivative worksheet, learners relate the concept of the derivative to the \"real world\" model of seasons.  Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of this...\n
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