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\nAP Calculus AB Unit 4: Contextual Applications of Differentiation\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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\nAP Calculus AB Unit 1: Limits and Continuity\n

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\nFlip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...\n
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\nAP Calculus AB Unit 2: Differentiation - Definition and Fundamental Properties\n

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\n\nFor Students\n\n11th - 12th\n
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\nThe eleven lessons in Unit 2 of the flipped math calculus course take up the definition and fundamental differentiation properties. Lessons include teaching scholars how to use their knowledge of the formula to find the average rate of...\n
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\nAP Calculus AB Unit 6: Integration and Accumulation of Change\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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\nAP Calculus AB\n

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\n\nFor Students\n\n11th - 12th\n
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\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n
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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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\nBalanced Assessment: Advanced High School Math Packet\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\n
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\n\n31\nItems in Topic\n\n
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\n\"Krista\n\n
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\nKrista King Math: Derivatives\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nEverything calculus scholars need to know about derivatives can be found in this 31-resource playlist. The collection defines the derivative and includes derivative rules, chain rule, derivatives of trig functions, derivatives of...\n
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\nAverage Rate of Change of a Function\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nJust how fast is the function changing? The presenter provides a general explanation of the average rate of change in the 28th presentation in a series of 31 calculus videos. The video moves on to find the average rate of change for a...\n
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Instructional Video9:44
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\nIntroduction to Rate-of-Change Problems\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal solves an example for finding the rate of change of the height of water in a cone at a specific point when it is being filled at a given rate. In this video, Sal reviews the volume of a cone and the chain rule and then, uses these to...\n
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\nExploration 1: Instantaneous Rate of Change Function\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep18:38
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\nCalculus AB/BC - Average and Instantaneous Rate of Change\n

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\nRamp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...\n
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Interactive
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\nAverage and Instantaneous Rates of Change\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nHow can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...\n
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Lesson Plan
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\nAverage Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nPupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...\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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Worksheet
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\n\"Working\n\n
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\nWorking with Rates of Change\n

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\n\nFor Students\n\n8th - 12th\n
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\nIn this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.\n
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Worksheet
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\nCalculus Worksheet: Rate of Change\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students calculate the rate of change of an equation as it relates to a leaning ladder. There is an answer key to this word problem.\n
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\nAverage Rate of Change\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThe concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...\n
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Lesson Plan
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\n\"Instantaneous\n\n
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\nInstantaneous Rate of Change of a Function\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nPupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...\n
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Lesson Plan
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\n Rate of Change\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents observe and calculate slopes. In this algebra lesson, students graph equations and determine the pace at which the slope is changing. They use the navigator to see the change as they graph the lines around.\n
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AP Test Prep8:58
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\nCalculus AB/BC - Can Change Occur at an Instant?\n

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\n\nFor Students\n\n10th - 12th\n
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\nBe instantly transfixed by the idea of instantaneous rates of change. Scholars watch an informative video that introduces the fathers of calculus, Newton and Leibniz. They then learn about instantaneous rates of change by first...\n
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Worksheet
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\n\"Rate\n\n
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\nRate of Change\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this rate of change worksheet, students determine the rate of change at a prescribed rate. This one-page worksheet contains 1 multi-step problem.\n
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Instructional Video9:07
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\n\"Newton,\n\n
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\nNewton, Leibniz, and Usain Bolt, Derivatives Introduction, AP Calculus AB\n

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\n\nFor Students\n\n10th - 12th\n
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\nWhat do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a specific time. He...\n
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Lesson Plan
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\nIntroduction to Calculus\n

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\n\nFor Teachers\n\n10th - Higher Ed\n\nStandards\n
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\nDon't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based instructional activity helps them keep it in check! The second instructional activity in a three-part series asks learners to analyze...\n
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