Curated OER
The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
Curated OER
Graphing the Standard Curve
Students analyze colorimetric using a computer program. In this science lesson, students show application of standard curves by finding other areas of science where standard curve is analyzed.
Curated OER
Filling The Urn
Students calculate the area under a curve. For this calculus lesson,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
Curated OER
Introduction to Curve Stitching - Line Designs
Young scholars develop their awareness that straight line segments can produce the illusion of a curve and helps them recognize and describe number patterns and geometric fundamentals.
Curated OER
Lesson #94 Exact Area Under a Curve
Young scholars research Riemann Sums. In this area lesson 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.
College Board
2010 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2003 AP® Calculus AB Free-Response Questions Form B
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...
College Board
2008 AP® Calculus AB Free-Response Questions Form B
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...
College Board
2007 AP® Calculus AB Free-Response Questions Form B
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...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2003 AP® Calculus BC Free-Response Questions Form B
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...
College Board
1998 AP® Calculus AB Free-Response Questions
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...
College Board
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...
Radford University
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...
Flipped Math
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...
Flipped Math
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.
College Board
2006 AP® Calculus BC Free-Response Questions
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...
College Board
2005 AP® Calculus AB Free-Response Questions Form B
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
CK-12 Foundation
Properties of a Normal Distribution: Uniform Distributions
There's nothing normal about an extraordinary resource. Scholars change the dimensions of a normal distribution using a slider interactive. Determining the area under the graph gives probabilities for different situations.
College Board
2003 AP® Calculus BC Free-Response Questions
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
Radford University
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...
Radford University
Catch Me If You Can!
Crime doesn't pay, but everyone can learn from it. Learners consider different situations involving mischief at a school, such as stink bombs and rockets, and analyze them using mathematics. They must apply trigonometry, quadratic...