AP Test Prep18:38
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#### Calculus AB/BC - Average and Instantaneous Rate of Change

For Students 10th - 12th
Ramp up the average rate of changeâ€”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...
AP Test Prep
College Board

#### 2013 APÂ® Calculus BC Free-Response Questions

For Students 10th - 12th
Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...
AP Test Prep
College Board

#### 2016 APÂ® Calculus BC Free-Response Questions

For Students 10th - 12th
The split is 50-50. Released free-response questions from the 2016 AP Calculus BC show that half the questions are from the AB portion of the course and the others are from the BC portion. Teachers and pupils use the items to prepare and...
AP Test Prep
College Board

#### 2012 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
AP Test Prep
College Board

#### 2011 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
So 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...
AP Test Prep
College Board

#### 2014 APÂ® Calculus BC Free-Response Questions

For Students 10th - 12th
How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...
AP Test Prep
College Board

#### 2017 APÂ® Calculus BC Free-Response Questions

For Students 10th - 12th
Pupils use theÂ six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
AP Test Prep
College Board

#### 2018 APÂ® Calculus AB Free-Response Questions

For Students 10th - 12th
Pupils interact withÂ six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.
Lesson Plan
Curated OER

#### Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus young scholars find the limit of piecewise functions at a value.Â They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
AP Test Prep9:20
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#### Calculus AB/BC - Defining Continuity at a Point

For Students 10th - 12th
Learning about continuity is a continuous process. An educational video first shows individuals the definition of continuity at a point. They see several examples on the topic and then investigate how to identify the types of...
AP Test Prep
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#### Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It'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.
AP Test Prep10:09
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#### Calculus AB/BC - L'Hopital's Rule

For Students 10th - 12th
Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...
AP Test Prep
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#### 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...
AP Test Prep13:27
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#### Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes

For Students 10th - 12th
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
AP Test Prep7:55
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#### Calculus AB/BC - Infinite Limits and Vertical Asymptotes

For Students 10th - 12th
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
AP Test Prep6:45
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#### Calculus AB/BC - Removing Discontinuities

For Students 10th - 12th
It's called a removable discontinuity for a reason. After reviewing the conditions for a removable discontinuity to exist, scholars watch an informative video to learn how to remove the discontinuity. They look at several examples...
AP Test Prep
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#### Calculus AB/BC Mid-Unit 1 Review: Limits

For Students 10th - 12th
Limit the amount one forgets about limits. A mid-unit review lesson has individuals complete a worksheet of problems on limits. They go over the meaning of limits, evaluate limits algebraically, use graphs and tables to find limits, and...
AP Test Prep5:08
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#### Calculus AB/BC - Connecting Multiple Representations of Limits

For Students 10th - 12th
It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...
AP Test Prep11:46
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#### Calculus AB/BC - Determining Limits Using the Squeeze Theorem

For Students 10th - 12th
Sandwich the video in between lessons. Scholars learn about the Squeeze Theorem, or Sandwich Theorem, in the eighth of 18 videos in Unit 1 - Limits and Continuity. After seeing a few examples, they look at different situations to...
AP Test Prep11:12
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#### Calculus AB/BC - Selecting Procedures for Determining Limits

For Students 10th - 12th
Knowing more strategies is always a plus. Pupils watch an engaging video to learn additional ways to algebraically determine the limit of a function at a specified value. The video covers multiplying radical expressions by their...
AP Test Prep11:03
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#### Calculus AB/BC - Determining Limits Using Algebraic Manipulation

For Students 10th - 12th
Sometimes a little manipulation goes a long way. The sixth of 18 videos in Unit 1 - Limits and Continuity shows viewers how to use algebraic manipulation to determine limits. They first use substitution and factoring, then apply special...
AP Test Prep9:18
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#### Calculus AB/BC - Determining Limits Using Algebraic Properties

For Students 10th - 12th
Taking calculus doesn't mean one can forget all about algebra. Viewers of an educational video learn how to determine limits using algebraic properties. They apply basic operations to calculate limits and use substitution to find one-...
AP Test Prep9:50
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#### Calculus AB/BC - Estimating Limit Values from Graphs

For Students 10th - 12th
A one-sided limit need not be half as interesting as a two-sided limit. Pupils learn the notation for one-sided limits and how to determine the value of a one-sided limit from graphs by watching a short video. They then see how to create...
AP Test Prep7:18
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#### Calculus AB/BC - Defining Limits and Using Limit Notation

For Students 10th - 12th
There's no limit to what one can learn about limits. The second of 18 videos in Unit 1 - Limits and Continuity focuses on understanding the basic concept of a limit. Pupils learn the definition of limits and see how to determine a limit...