Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Mathematics Assessment Project
Solving Problems with Circles and Triangles
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
Mathematics Assessment Project
Evaluating Statements About Length and Area
Class members complete an assessment task by identifying whether statements about triangles and quadrilaterals are always true, sometimes true, or never true. They then participate in a sorting activity with the same objective.
Mathematics Assessment Project
Discovering the Pythagorean Theorem
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the Pythagorean Theorem.
Mathematics Assessment Project
Translating Between Repeating Decimals and Fractions
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
American Statistical Association
Chunk it!
Chunking information helps you remember that information longer. A hands-on activity tests this theory by having learners collect and analyze their own data. Following their conclusions, they conduct randomization simulations to test...
American Statistical Association
Confidence in Salaries in Petroleum Engineering
Just how confident can we be with statistics calculated from a sample? Learners take this into account as they look at data from a sample of petroleum engineer salaries. They analyze the effect sample size has on a margin of error and...
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
Mathematics Assessment Project
Calculating Volumes of Compound Objects
After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.
Intel
Fair Games
Who said things were fair? The unit introduces probability and its connection to fairness. The class interacts with activities of chance and plays games to relate them to fairness. Groups design a fair game and develop a presentation....
Statistics Education Web
Types of Average Sampling: "Household Words" to Dwell On
Show your classes how different means can represent the same data. Individuals collect household size data and calculate the mean. Pupils learn how handling of the data influences the value of the mean.
Curated OER
Stochastic and Deterministic Modeling
Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...
American Statistical Association
How Long is 30 Seconds?
Is time on your side? Pupils come up with an experiment to test whether their classmates can guess how long it takes for 30 seconds to elapse. They divide the class data into two groups, create box-and-whisker plots, and analyze the...
American Statistical Association
How Tall and How Many?
Is there a relationship between height and the number of siblings? Classmates collect data on their heights and numbers of brothers and sisters. They apply statistical methods to determine if such a relationship exists.
American Statistical Association
What is the Probability of “Pigging Out”
Learners apply their understanding of luck to a probability experiment. They play a game of Pass the Pigs to determine the probability of a specific outcome. Using analysis for their data, pupils declare the measures of center, dot...
American Statistical Association
An A-MAZE-ING Comparison
Teach your class how to use descriptive statistics through a hands-on data collection activity. Pupils collect their own data, calculate test statistics, and interpret the results in context. They compare male and female results, looking...