Mathematics Assessment Project
“Ponzi” Pyramid Schemes
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal.
Mathematics Assessment Project
Functions
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might...
Balanced Assessment
Paving the Patio
Next time you need to repave your patio, have your scholars do all the math. They first calculate and answer questions using the area of patio blocks. Next, they determine the cheapest block to use to pave the patio.
Balanced Assessment
Greater, Lesser, In-Between
Goldilocks and the Three Numbers? The pre-activity task involves finding digits to complete decimals or fractions that satisfy given constraints, such as finding a fractions that is in between two others. The main task involves a similar...
Denver Public Schools
Kung-hsi Fa-ts' ai! – A Chinese New Year Celebration
Looking for ideas for your Lunar New Year celebration? Check out an interdisciplinary unit of study that includes lessons in counting, calligraphy, culture, geography, literature, art, and music. Kung-hsi Fa-ts' ai! (May you...
Trinity University
Explain Yourself: An Expository Writing Unit for High School
Introduce expository writing with a unit that asks writers to craft an essay to explain a belief, value, or priority that is important to them. Mini-lessons within the unit focus on crafting thesis statements and conclusions, selecting...
Education Development Center
Interpreting Statistical Measures—Class Scores
Explore the effect of outliers through an analysis of mean, median, and standard deviation. Your classes examine and compare these measures for two groups. They must make sense of a group that has a higher mean but lower median compared...
Prestwick House
Understanding Language: Slant, Spin, and Bias in the News
We live in a time of fake news, alternative realities, and media bias. What could be more timely than an activity that asks class members to research how different sources report the same topic in the news?
New York State Education Department
Comprehensive English Examination: June 2016
Those in positions of authority don't always have the best interest of their people in mind. As part of a sample assessment question, readers must consider how works of literature they read apply to a quote from Edmund Burke—"The greater...
Concord Consortium
Bricks for Books
Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...
Concord Consortium
Stocking the Shelves
How many ways can you stock a shelf? It's probably more than you think! Young scholars use data in a frequency table to determine how many ways to stock a shelf given a specific constraint for types of groups. They then repeat the task...
College Board
2010 AP® Human Geography Free-Response Questions
Economics and demographics—how are they related? A set of questions from the College Board explore complex ideas such as how the location of raw goods drive the economics of where industries develop and what dynamics weaken or...
College Board
2013 AP® English Language and Composition Free-Response Questions
In 2011, the Martin Luther King, Jr. Memorial opened in Washington, DC to much praise and some criticism. Part of a series of response questions from the AP® English Language and Composition exam, writers consider what factors...
College Board
2004 AP® English Literature and Composition Free-Response Questions
Have you ever felt left in the dark? Scholars write essays after analyzing two poems pertaining to night and darkness. Pupils also read a passage and write an essay discussing the author's depiction of characters. A third essay allows...
College Board
2005 AP® Macroeconomics Free-Response Questions Form B
Suppose a country increases its budget deficit. How would such an increase affect businesses and the exchange rate? Learners consider what happens and ponder other questions from College Board that look at employment, supply and demand,...
College Board
2004 AP® Macroeconomics Free-Response Questions
The Federal Reserve guides banking policy for the country. Learners consider the effects of its force using authentic materials from College Board. Other practice problems examine the connection of national savings rates and interest...
College Board
2011 AP® Microeconomics Free-Response Questions
The price of avocados is holding steady. What happens when the competition for labor to grow them intensifies? Learners consider this and other questions about supply and demand and the effects of monopolies using authentic College Board...
College Board
2002 AP® Statistics Free-Response Questions
Statistically, prepared classes perform better. Teachers and pupils use the released 2002 AP® Statistics Free-Response questions to gain an understanding of how questions may be worded on the exam. Resources request that teachers put an...
Pace University
The Iroquois
During the early 1500s, parts of modern-day New York were inhabited by Eastern Woodland Native Americans. To learn about the daily life, value, and traditions of these tribes, fourth graders research the Iroquois. Groups select...
Pace University
Native Americans
Introduce middle schoolers to the First Nations that inhabited the Northeast during the Age of Exploration with a series of activities designed for differentiated groups.
Pace University
Grades 7-8 Mean, Median, and Mode
Take a central look at data. The differentiated lesson provides activities for pupils to calculate central tendencies. Scholars begin choosing three central tendency activities from a Tic-Tac-Toe board. Learners then choose from sports,...
Radford University
Ramp It Up
Pupils gather measurements of real-world objects that have slopes. They then plot the measurements and find an equation of a line that fits the measurements. Finally, groups investigate the ADA and determine whether different ramps meet...
Radford University
Discover Radians!
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...
Radford University
Take a Trip
Leave all your travels needs to the math department. Pupils apply knowledge of triangles to identify a triangular path for a traveler to take. They use a given distance for the second leg of the trip and a constraint on the length of the...