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AP Test Prep
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Flipped Math

Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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AP Test Prep9:02
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Flipped Math

Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area

For Students 10th - 12th
Accumulation 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...
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AP Test Prep28:02
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Flipped Math

Calculus AB/BC - Approximating Areas with Riemann Sums

For Students 10th - 12th
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
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AP Test Prep11:21
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Flipped Math

Calculus AB/BC - Exploring Accumulation of Change

For Students 10th - 12th
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
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AP Test Prep
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Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
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AP Test Prep10:44
Flipped Math

Calculus AB/BC - Exploring Behaviors of Implicit Relations

For Students 10th - 12th
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
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AP Test Prep12:48
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Flipped Math

Calculus AB/BC - Solving Optimization Problems

For Students 10th - 12th
Move beyond setting up equations. Pupils continue with optimization problems and use their knowledge of derivatives to find solutions. They watch as the video uses equations from previous examples and find solutions to answer specific...
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AP Test Prep12:48
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Flipped Math

Calculus AB/BC - Introduction to Optimization Problems

For Students 10th - 12th
Let's get the equation set. Pupils see the importance of setting up an one-variable equation in the first of two lessons on optimization problems. The presenter works four different types of problems before individuals use the included...
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AP Test Prep11:42
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Flipped Math

Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives

For Students 10th - 12th
Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....
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AP Test Prep
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Flipped Math

Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
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AP Test Prep13:54
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Flipped Math

Calculus AB/BC - Using the First Derivative Test to Determine Relative Local Extrema

For Students 10th - 12th
Critically apply intervals of increasing and decreasing. Pupils watch a video to see how finding a critical point and finding intervals of increasing and decreasing work together to identify local extrema. Scholars use the first...
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AP Test Prep
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Flipped Math

Calculus AB/BC Unit 3 Review: Differentiation

For Students 10th - 12th
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
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AP Test Prep14:07
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Flipped Math

Calculus AB/BC - Differentiating Inverse Trigonometric Functions

For Students 10th - 12th
Differentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...
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AP Test Prep10:22
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Flipped Math

Calculus AB/BC - Differentiating Inverse Functions

For Students 10th - 12th
Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...
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AP Test Prep14:45
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Flipped Math

Calculus AB/BC - Implicit Differentiation

For Students 10th - 12th
It's implied that implicit differentiation is important. Viewers of an engaging video learn the process of implicit differentiation. After watching several examples, they see how to apply implicit differentiation to find the vertical and...
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AP Test Prep15:20
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Flipped Math

Calculus AB/BC - The Chain Rule

For Students 10th - 12th
Unshackle oneself from the burden of not understanding derivatives. The first of seven lessons in Unit 3 - Differentiation looks at the Chain Rule. By watching a video, scholars learn when to apply the rule and how to use it to determine...
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AP Test Prep9:56
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Flipped Math

Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema

For Students 10th - 12th
Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...
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AP Test Prep12:33
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Flipped Math

Calculus AB/BC - Determining Intervals on Which a Function is Increasing or Decreasing

For Students 10th - 12th
Going 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...
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AP Test Prep
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Flipped Math

Calculus AB/BC - Using the Mean Value Theorem

For Students 10th - 12th
At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...
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AP Test Prep14:15
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Flipped Math

Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative

For Students 10th - 12th
Uncover 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...
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AP Test Prep12:50
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Flipped Math

Calculus AB/BC - Using the Second Derivative Test to Determine Extrema

For Students 10th - 12th
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
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AP Test Prep14:50
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Flipped Math

Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points

For Students 10th - 12th
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
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AP Test Prep
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Flipped Math

Calculus AB/BC End of Unit 1 Review: Limits and Continuity

For Students 10th - 12th
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
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AP Test Prep
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Flipped Math

Calculus AB/BC - Intermediate Value Theorem (IVT)

For Students 10th - 12th
Acquire expert-level knowledge in the Intermediate Value Theorem. Viewers of an informative video learn about the Intermediate Value Theorem. After learning the definition, they consider several examples where they must apply the theorem...