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### We found 85 resources with the concept area under a curve

Videos (Over 2 Million Educational Videos Available)

3:07

Who was Frederick Douglass?

5:10

How Computers Work: What Makes a Computer,...

8:55

The Circulatory System Part 1: The Heart

Other Resource Types
(85)

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#### TeachEngineering: Android Acceleration Application

Introduce young engineers to the software development design process used in app building. After watching a video tutorial, groups are challenged to build an accelerometer app for an Android device and design an app utilizing the GPS...

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#### AP Calculus AB Unit 6: Integration and Accumulation of Change

The 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,...

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#### AP Calculus AB

Prepare 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...

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#### 2007 AP® Calculus BC Free-Response Questions

Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...

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#### 2009 AP® Calculus AB Free-Response Questions

What was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...

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#### 2007 AP® Calculus AB Free-Response Questions

Grow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...

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#### 2006 AP® Calculus AB Free-Response Questions

Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...

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#### 2013 AP® Calculus AB Free-Response Questions

What is the important stuff? The free-response questions from the 2013 Calculus AB exam highlight the topics in calculus assessed that year. Items provide pupils the opportunity to experience questions similar to what they will see on...

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

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...

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

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...

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

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...

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

Pupils use the 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...

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#### 2010 AP® Calculus AB Free-Response Questions

Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources to...

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#### Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals

Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...

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#### Calculus AB/BC - Applying Properties of Definite Integral

Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.

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

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

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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#### Calculus AB/BC - Approximating Areas with Riemann Sums

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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#### Calculus AB/BC - Exploring Accumulation of Change

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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#### Integrals - Calculus

Introduce the opposite of differentiation. Pupils learn the basic definition of integration and how to integrate a polynomial. The video shows learners how the integral is the opposite of the derivative. Individuals see how to confirm...

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#### How Normal Are You?

It's completely normal to learn about normal distributions. An engaging lesson has young statisticians collect and analyze data about their classmates as well as players on the school's football team. They determine whether each set of...

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#### What Is Normal?

Are you taller than a Major League Baseball player? Future mathematicians learn about normal distributions, percentiles, z-scores, and areas under a normal curve. They use the concepts to analyze height data of Major League Baseball...

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#### Are Kitchen Cabinets at the Correct Height? Lessons 1-5

Here's a not-so-normal unit on normal heights. Future statisticians anonymously collect class data on female heights, weights, and shoe sizes. They then analyze the data using normal distributions, z-scores, percentiles, and the...

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#### 2011 AP® Calculus BC Free-Response Questions Form B

Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...