Curated OER
Empirical Rule Practice Problems
Using the empirical rule for a normal distribution, young statisticians determine the percent of adult women with given heights and weights. They find the percentile rank of a woman of a stated height and find the area under a curve.
EngageNY
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
Curated OER
Errors in Riemann Sums
In this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
Curated OER
Normal Curve Areas
In this normal curve areas worksheet, learners follow 6 steps to compute probability regarding possible sample means using a large sample. First, they label the scale with the mean and corresponding standard deviations. Then, students...
Curated OER
Normal Curve Areas - Population
In this normal curve areas worksheet, students follow 6 steps to compute the probability regarding the values from the population. First, they label x-scale with the mean and corresponding standard deviations and shade the area(s) under...
Curated OER
Normal Curve Areas
In this normal curve areas worksheet, students follow 6 steps to compute the probability regarding the possible sample of proportions using a large sample population. First, they label the Ps-scale with the proportion and corresponding...
Balanced Assessment
On Averages and Curves
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Shodor Education Foundation
Normal Distribution
Does the size of the bin matter? The resource allows pupils to explore the relationship between the normal curve and histograms. Learners view histograms compared to a normal curve with a set standard deviation. Using the interactive,...
College Board
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...
College Board
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...
College Board
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...
College Board
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...
College Board
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...
College Board
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...
College Board
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...
College Board
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...
Curated OER
F(x)g(x): A Tale of Two Functions
In this graphing functions worksheet, students solve four problems where they graph given functions, find the sum related to the area under the curve and determine an integral.
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.
Curated OER
Numerical Methods of Integration
Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
Teach Engineering
Exploring Acceleration with an Android
Small groups use rubber bands to accelerate an Android device along a track of books. They collect the acceleration data and analyze it in order to determine the device's velocity.
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
Curated OER
Riemann Sums
Students calculate the area under a curve. In this calculus lesson plan, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Curated OER
Riemann Rectangle Errors
High schoolers calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
College Board
2009 AP® Calculus AB Free-Response Questions Form B
Get a free peek into a calculus exam. Released free-response items from the AP® Calculus AB exam provide teachers and pupils examples of how topics may appear. The six questions cover topics such as growth rates, volumes of rotations,...