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 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...
Illustrative Mathematics
Sports Equipment Set
Many learners like to play sports and the equipment that goes with it costs money. The resource sets up an inequality that gives a total amount needed to purchase the equipment and the initial amount of money already obtained. In order...
Balanced Assessment
A Sharper Image
Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students explain the...
Curated OER
2007 U.S. National Chemistry Olympiad Part II
Eight multi-step chemistry problems, including analyzing a titration, writing equations, predicting products and limiting reagents, calculating concentrations of ions, and using stoichiometry to solve for unknowns in reactions make up...
Curated OER
2002 U.S. National Chemistry Olympiad National Exam - Part I
As to be expected from the American Chemical Society Olympiad Examinations Task Force, this 60-question test tops the charts in terms of excellence. It consists entirely of multiple choice questions designed to assess a year's worth of...
Illustrative Mathematics
Writing Constraints
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
Curated OER
Rolling Twice
Rolling dice is the best way to show your learners how probability comes in to play. Although this lesson does not specify an activity, your mathematicians can try this probability with real dice to calculate their experimental...
Curated OER
Tetrahedral Dice
Put those thinking hats on and look at all the possible outcomes from rolling two different four-sided dice. The challenge in this problem is finding all the combinations when adding and subtracting the numbers from each die and creating...
Curated OER
Parabolas and Inverse Functions
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
Mathematics Assessment Project
Fearless Frames
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on advice people...
Concord Consortium
Calculator Numbers
Know thy calculator. Young mathematicians use their calculators to answer a set of questions. They consider how the number of digits the calculator displays affects the answers to calculations. They then find examples of computations...
College Board
1999 AP® Macroeconomics Free-Response Questions
Gross domestic product can be a telling indicator about the health of a country, but it has limitations. Learners examine common indicators using structured prompts and problem sets from the College Board. Other practice problems include...
College Board
2009 AP® Statistics Free-Response Questions Form B
Is your class taking the AP® Statistics exam in the near future? You may want to take a look here. Using the 2009 AP® Statistics free-response questions Form B helps learners become familiar with the testing conditions, such as time...
College Board
2003 AP® Psychology Free-Response Questions
Intelligence testing can be a useful tool—but what are its limits? Scholars explore the question, considering issues such as the role of bias, using authentic College Board materials. Learners also examine the psychological factors...
College Board
2001 AP® Human Geography Free-Response Questions
The green revolution has changed agricultural practices, but its success may be limited. Learners consider why as they use authentic College Board materials. Other prompts explore the rise of suburbs and the stages of economic development.
College Board
2001 AP® English Language and Composition Free-Response Questions
Do pictures really last longer? A prompt from the 2001 AP® English Language and Composition Free-Response Questions asks scholars to analyze the opinion that photography actually limits people when it comes to understanding the world....
College Board
2008 AP® English Language and Composition Free-Response Questions Form B
Ever feel like resources limit pupils with multiple-choice questions? Writers receive freedom of expression with three free response questions. Topics include text read in high school English, opinions on American education, and...
College Board
2018 AP® Microeconomics Free-Response Questions
How much should Nirali study for her history and economics exams if she has a limited amount of time for both? Scholars consider opportunity cost in using this real-world scenario from College Board. Other questions include looking at a...
New York State Education Department
US History and Government Examination: January 2011
The presidencies of John F. Kennedy, Richard Nixon, and Ronald Reagan were defined by the Cold War. Using primary source documents and scaffolded analysis questions, pupils explore the effect the Cold War had on these presidencies. A...
Stanford University
Siege of Golconda
Looking at art, learners explore the Mughal Empire, which once controlled all of India and created a unique Hindu-Muslim civilization. By analyzing a painting of the Siege of Golconda, historians consider what art teaches people about...
Illustrative Mathematics
Log Ride
The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve the...
College Board
2013 AP® Calculus BC Free-Response Questions
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...
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