Interactive
CK-12 Foundation

Expected Value: Game of Chance

For Students 11th - 12th Standards
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...
Interactive
CK-12 Foundation

Expected Value: Playing Darts

For Students 11th - 12th Standards
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...
Interactive
CK-12 Foundation

Expected Value: Creating a Discrete Probability Distribution Table

For Students 11th - 12th Standards
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...
Interactive
CK-12 Foundation

Expected Value: Win a Dollar

For Students 11th - 12th Standards
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...
Lesson Plan
EngageNY

Interpreting Expected Value

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Games of Chance and Expected Value 2

For Teachers 11th - 12th Standards
Use expected values to analyze games of chance. The 15th installment of a 21-part module has young mathematicians looking at different games involving tickets and deciding which would be the best to play. They calculate expected payoffs...
Lesson Plan
EngageNY

Expected Value of a Discrete Random Variable

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

Games of Chance and Expected Value 1

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

Using Expected Values to Compare Strategies

For Teachers 11th - 12th Standards
Discover how mathematics can be useful in comparing strategies. Scholars develop probability distributions for situations and calculate expected value. They use their results to identify the best strategy for the situation.
Activity
Google

Probability Project: Design Your Own Game

For Teachers 10th - 12th Standards
Designing a game is the focus of this probability lesson. Groups develop and build a unique game, including directions for how to play, a calculation of the expected value of winning, and a personal reflection. The plan provides a...
Assessment
Illustrative Mathematics

Fred's Fun Factory

For Students 9th - 12th Standards
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...
Lesson Plan
Curated OER

Life Expectancy at Birth

For Teachers 3rd - 5th
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...
Lesson Plan
Curated OER

Linear Modelling of the Life Expectancy of Canadians

For Teachers 8th - 11th
Middle and high schoolers explore the concept of linear modelling.  In this linear modelling lesson, pupils find the line of best fit for life expectancy data of Canadians. They compare life expectancies of men and women, and find...
Activity
Curated OER

Changing It Up

For Teachers 9th - 12th Standards
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.
Assessment
EngageNY

End-of-Module Assessment Task - Precalculus (Module 5)

For Students 11th - 12th Standards
Give your young scholars a chance to show what they've learned from the module. The last installment of a 21-part series is an end-of-module assessment task. It covers basic and conditional probabilities, expected value, and...
Lesson Plan
Curated OER

Expected Value

For Teachers 6th - 8th
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
AP Test Prep
College Board

1999 AP® Statistics Free-Response Questions

For Students 10th - 12th Standards
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...
AP Test Prep
College Board

2010 AP® Statistics Free-Response Questions Form B

For Students 10th - 12th Standards
Form a good familiarity with the AP® test using Form B of the 2010 AP® Statistics free-response questions. Pupils use a test from a previous administration to prepare for their exams. A set of six questions assesses box plots,...
AP Test Prep
College Board

2003 AP® Statistics Free-Response Questions Form B

For Students 10th - 12th Standards
Update the statistics in your course using older AP® questions. The 2003 AP® Statistics free-response questions cover several of the concepts in the current statistics standards for all pupils. Items contain questions about...
Activity
Curated OER

Flipping for a Grade

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Do These Systems Meet Your Expectations

For Teachers 8th - 9th
This lesson is all about systems of equations and their graphs. Algebra learners create and solve systems of equation using tables and graphing. They identify the point of intersection of a system of equation, and discover what the...
Assessment
1
1
Mathematics Assessment Project

Middle School Mathematics Test 4

For Students 6th - 8th Standards
Raise expectations in your classroom and assess learners through the provided performance tasks. Class members must apply concepts learned throughout the year, providing a good measurement of how well they understand the...
Lesson Plan
Curated OER

Great Expectations

For Teachers 4th - 6th
Young scholars explore the Oklahoma dairy and beef industry. In this data interpretation math lesson plan, students define vocabulary related to the cattle industry, then use a data table to answer word problems about cattle breeding and...
Lesson Plan
Curated OER

Expected Outcome

For Teachers 10th - 12th
Students determine expected values of experiments and explore distributions of experiments. They guess as to how many times a coin will flip heads in fifty tries. They flip a coin fifty times graphing the results on a histogram. They...

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