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EngageNY
Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities
Cultivate the tree of knowledge using diagrams with two stages. Pupils create small tree diagrams to determine the sample space in compound probability problems. The activity uses only two decision points to introduce tree diagrams.
Inside Mathematics
Winning Spinners
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
EngageNY
Chance Experiments with Equally Likely Outcomes
Take a deeper dive into equally likely probabilities. Pupils build upon their understanding of probability by determining sample spaces and outcomes. Individuals work with sample spaces and determine outcomes that are equally likely....
Bowland
Lottery
Take a chance on raising money. Learners calculate probabilities to determine whether a lottery is a good way to raise money. Pupils determine the number of combinations of choosing two numbers between one and six. Using the sample...
Mathed Up!
Stratified Sampling
Young mathematicians learn how to solve problems involving stratified sampling. They review concepts of sampling and proportionality by watching a video and then they complete a worksheet of questions on this topic.
EngageNY
Calculating Probabilities of Compound Events
Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...
College Board
2005 AP® Statistics Free-Response Questions Form B
Here's another great way to learn from the past. Released free-response questions provide a look into how concepts measured on the 2005 AP® Statistics Exam on Form B. Teachers and pupils review questions that cover concepts such as...
College Board
2004 AP® Statistics Free-Response Questions Form B
Over the years, data analysis has been important. Looking back to the 2004 AP® Statistics Form B free-response questions, pupils and teachers see the importance of analysis of data sets. The six questions contain analysis of data on...
Los Angeles County Office of Education
Assessment For The California Mathematics Standards Grade 6
Test your scholars' knowledge of a multitude of concepts with an assessment aligned to the California math standards. Using the exam, class members show what they know about the four operations, positive and negative numbers, statistics...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 5
Determine the probability that the class knows probability. The three-question assessment presents problems with finding the sample space and the probability, theoretical and experimental, of a variety of situations. Pupils also describe...
College Board
2007 AP® Statistics Free-Response Questions Form B
So that is how they do it! Pupils and teachers see how College Board assesses topics using the free-response questions from Form B of the 2007 AP® Statistics test. The six questions are divided in two sections, the first five being...
College Board
2008 AP® Statistics Free-Response Questions Form B
To know what is on the test would be great. The six free-response question from the second form of the 2008 AP® Statistics gives pupils an insight into the format and general content of the exam. Each question requires the test...
College Board
2000 AP® Statistics Free-Response Questions
A little communication goes a long way. Free-response questions from the 2000 AP® Statistics exam require pupils to communicate their results—not just perform calculations. The questions ask individuals to explain, discuss, and interpret...
Bowland
Spinner Bingo
Create a winning card. Given a description of a bingo game using two spinners, pupils determine which of three cards has the greatest chance of winning. Scholars then determine which are the best numbers to put on their own cards to give...
CCSS Math Activities
Rolling for the Big One
Knowing math helps you win games. Learners apply conditional probability concepts in an engaging performance task. After playing a game in which players roll a 10-sided polyhedron and then try to place the digits to get the highest...
College Board
1998 AP® Statistics Free-Response Questions
Free-response questions form the 1998 AP® Statistics exam allow class members to analyze data from real-life situations. The situations include tracking defective parts, tracking butterflies, evaluating weed killers and determining...
Noyce Foundation
Fair Game?
The game should be fair at all costs. The mini-assessment revolves around the ability to use probabilities to determine whether a game is fair. Individuals determine compound events to calculate simple probabilities and make...
College Board
2003 AP® Statistics Free-Response Questions Form B
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...
College Board
2002 AP® Statistics Free-Response Questions Form B
Develop a deeper understanding of statistics. The six released free-response items from the 2002 AP® Statistics Form B involve several concepts that are currently in the regular statistics standards. Teachers see how...
EngageNY
Applying Probability to Make Informed Decisions
Use simulations to determine the probabilities of events to make decisions. Class members are presented with several scenarios, some with known probabilities and others without. Groups run simulations to gather data that they then...
College Board
2006 AP® Statistics Free-Response Questions Form B
Test a significant review of statistical questions. The resource provides pupils and teachers with insight into the way the exam assesses statistical concepts. Half of the released questions from the 2006 AP® Statistics Form B...
Curated OER
Candy Bars
There is often more to data than meets the eye. Scholars learn that they need to analyze data before making conclusions as they look at data that describes the number of candy bars boys and girls eat. They disprove a given conclusion and...
Mathematics Assessment Project
Card Game
Middle schoolers use 10 cards to determine whether the probability that the next card chosen is higher or lower than the previous.
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...