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CK-12 Foundation
Expected Value: Game of Chance
Determine whether the payoff is worth it. Pupils calculate the expected value of a game with three different payoff levels. Each level has a different probability of winning money. The scholars find the expected payoffs for each...
EngageNY
Interpreting Expected Value
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
EngageNY
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
CK-12 Foundation
Expected Value: Win a Dollar
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
CK-12 Foundation
Expected Value: Playing Darts
The expected payoff is right on target. An interactive resource provides a dart game scenario with amounts of cash prizes and probabilities of winning. Learners calculate the expected value and expected payoff for the game. To...
CK-12 Foundation
Expected Value: Creating a Discrete Probability Distribution Table
Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...
EngageNY
Games of Chance and Expected Value 1
There's a strong chance that class members enjoy learning math through engaging games. Scholars analyze games of chance to determine long-term behavior. They learn to calculate expected value to help with this assessment.
Curated OER
Changing It Up
How should a cashier stock a cash register with coins? Learners use mathematical modeling and expected value to determine how many rolls of coins of each type they should place in a cash register.
Illustrative Mathematics
Fred's Fun Factory
Spin to win! Individuals calculate the average number of tickets expected based on a probability distribution for the number of tickets per spin. Pupils use that information to determine the average number of tickets that can be won...
Curated OER
Life Expectancy at Birth
Students create a line graph on the life expectancy for males and females in Canada. In this math and health lesson plan, students review table and graph terminology, create line graphs, and analyze the differences in life expectancy...
California Academy of Science
Be Prepared for an Earthquake
Earthquakes can be frightening and dangerous, but being prepared can make a world of difference. Perform an earthquake simulation during which the class practices how to drop, cover, and hold on as you read a script...
College Board
1999 AP® Statistics Free-Response Questions
Closer to 2010 than expected. Several of the 1999 AP® Statistics free-response questions align to Common Core standards. Items ask pupils to analyze residuals, two-way tables, and calculate expected values to determine the fairness...
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...
EngageNY
Percent and Rates per 100
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th lesson in a series of 29. They represent percents as fractions, decimals, ratios, and models. The scholars...
College Board
2018 AP® Statistics Free-Response Questions
Are your classes ready for their final exams? Give them a test run with the 2018 AP® exam. The resource provides the six free-response questions covering topics such as confidence intervals, population proportions, and least-squares...
Pearson
Performance Based Assessment Practice Test (Geometry)
The incredibly broad topic base of a geometry class makes full-length practice tests like this one, especially ones that include a number of open response questions, invaluable. Here the class can really get that hands-on...
University of Missouri
Money Math
Wouldn't your class members love to become millionaires? It doesn't happen overnight. Teach young entrepreneurs about personal finance and money management with a series of lessons focused on money math. Pupils learn about...
PBL Pathways
Total Cost to Produce the Turbo Blender
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....
Curated OER
Flipping for a Grade
What happens when your teachers get tired of grading tests and want to use games of chance to determine your grade? How would you decide which game they should play? Learn how to use expected value and standard notation to compare two...
West Contra Costa Unified School District
Search and Rescue Activity
Get your classes moving and practicing sequences at the same time! Learners move about the room solving problems and finding their solutions. Problems include both recursive and explicit formulas and both geometric and arithmetic sequences.
Student Handouts
What We Did Today
Keep parents in the loop of what their children are learning in your classroom by sending students home with this quick printable. Learners note their in-class activities and work, homework assignments, and what to expect in the coming...
Curated OER
Getting Started with Interactive Math Notebooks
Set young mathematicians up for success with this interactive math notebook. Including a list of rules and expectations for using the notebooks, as well as templates for a creating a cover page and table of contents, this resource...
Math Guy
Algebra 1 Practice Test
The instructional activity is great but the answer key is fantastic! This practice test focuses on quadratics and polynomials. Learners are expected to be able to simplify and factor expressions and solve equations. The best part is the...
Curated OER
Expected Value
Students explore expected value, are introduced to the concept of varying payoffs, and have used a computer simulation of a "real world" example where expected value is used