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Lesson Plan
Curated OER

Filling The Urn

For Teachers 9th - 12th Standards
Students calculate the area under a curve. In this calculus lesson,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Lesson Plan
Curated OER

Easy Bias-Covered Curves

For Teachers 4th - 5th
Students watch a demonstration on how to make easy-bias covered curves. Using that information, they practice making their own with different types of materials. They share their creations with the class to end the lesson.
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Lesson Plan
Curated OER

Area Under A Curve

For Teachers 9th - 12th
Students investigate the concept of finding the areas under curves while examining the graphing for inscribed and circumscribed rectangles. Finally, students compute the area under the curve by using the left-hand endpoints. The examples...
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Lesson Plan
Curated OER

Area Between Two Curves

For Teachers 10th - 12th
Young scholars engage in a activity that is concerned with the concept of computing the area between 2 curves with respect to the x and y axis. They concentrate on using positive and negative intervals and find the curve while...
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Lesson Plan
Curated OER

Lesson #94 Exact Area Under A Curve

For Teachers 11th - 12th
Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...
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Lesson Plan
Curated OER

Area Between Two Curves

For Teachers 9th - 12th
Students investigate the concept area that is found between two curves. They find the area in the top and bottom curve and then examine the differences. The examples can be used for direct instruction and to provide a guide for helping...
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Lesson Plan
Curated OER

Lesson #94 Exact Area Under a Curve

For Teachers 10th - 12th
Students research Riemann Sums. In this area instructional activity students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Lesson Plan
Curated OER

The Curved House - Endless House Project

For Teachers 10th - 12th
Students analyze the art and architecture projects of Frederick Kiesler. In this architecture analysis instructional activity, students read and study images the endless house project. Students complete discussion activities and...
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AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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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 Prep
College Board

2009 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
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AP Test Prep
College Board

1998 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a peek into the exam. Released items from the Calculus AB exam provide pupils insight into how questions appear on the exam. The six questions range from finding the area under a curve and the volume of the revolution to working...
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AP Test Prep
College Board

2006 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
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AP Test Prep
College Board

2015 AP® Microeconomics Free-Response Questions

For Students 10th - 12th Standards
Two sandwich shops must decide whether it's to their benefit to set pricing together. What happens when the government also intervenes with a price subsidy? Learners consider these questions as they tackle prompts from College Board....
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AP Test Prep
College Board

2004 AP® Microeconomics Free-Response Questions

For Students 10th - 12th Standards
All goods have a social cost. A set of questions considers how to best calculate the impact the production of goods has on society. Other practice problems from College Board consider supply-and-demand curves and the impact of licensing...
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AP Test Prep
College Board

2003 AP® Microeconomics Free-Response Questions

For Students 10th - 12th Standards
A company producing smoke alarms has a monopoly. However, what factors influence its profit and production? A series of prompts from College Board asks learners to consider the impact. Other practice problems include examining what...
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AP Test Prep
College Board

2004 AP® Microeconomics Free-Response Questions Form B

For Students 10th - 12th Standards
A company enjoys a monopoly. What happens to its profits when another firm introduces a similar product? Learners consider the case using questions from College Board. Other prompts include the effects of sales taxes and supply and...
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AP Test Prep
College Board

2003 AP® Microeconomics Free-Response Questions Form B

For Students 10th - 12th Standards
How are monopolies and competitive firms similar and different? Scholars consider the question using authentic College Board materials. Other prompts consider supply and demand curves and the relationship between wages and output.
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AP Test Prep
College Board

2003 AP® Calculus AB Free-Response Questions Form B

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

2008 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
How would those items score? The resource provides pupils an opportunity to answer actual free-response questions and determine their scores. Items from the AP® Calculus AB exam from the 2008 administration demonstrate how topics appear...
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AP Test Prep
College Board

2007 AP® Calculus AB Free-Response Questions Form B

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

2011 AP® Calculus BC Free-Response Questions Form B

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

2007 AP® Calculus BC Free-Response Questions Form B

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

2003 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...

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