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 lesson uses only two decision points to introduce tree diagrams.
EngageNY
Using Sample Data to Estimate a Population Characteristic
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The lesson explores the meaning of a population versus a sample and how to interpret the...
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...
CK-12 Foundation
Sample Spaces and Events: Triple Spin!
Scholars determine the number of possible outcomes when a spinner is spun three times. They start with the case of one spin and build up to the case of three spins.
CK-12 Foundation
Permutations: Podiums
Add a winning resource to your library. A self-paced interactive has users create a sample space for all possibilities of arranging first- and second-place winners on a podium. The results lead to the realization that permutations...
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
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...
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...
CK-12 Foundation
Permutations and Combinations Compared: Colored Candies
Here's a sweet resource on sample spaces. An enticing interactive allows users to list all possibilities for the flavors of candy given to a friend. Scholars must also determine whether permutations or combinations are more...
EngageNY
Counting Rules—Combinations
Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...
Curated OER
Real-World Probability
Students explore the concept of probability. In this probability activity, students create a video, poster, or podcast explaining what experiments, sample space, events, and outcomes are in relation to probability. Students...
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make...
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...
Curated OER
I Have a Magic Pot
Pupils will explore numbers rules. They will create a picture of their rule and exchange their paper with a classmate. The classmate works to figure out the rule. They then share with each other how they found the rule. Questions are...
CK-12 Foundation
Counting Techniques: Permutations and Combinations
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
Shodor Education Foundation
Dice Table
Convert a table to probabilities. Pupils set up the winning rules for the sums of two dice. Using the rules, the applet fills out a table showing the winners for each combination. Learners determine the probabilities of winning for each...
Curated OER
Explorations for the Area Probability Applet
Math whizzes use the area probability applet to manipulate the size of the circle and the rectangle to explore the probability that a point in the rectangle is also in the circle.
National Security Agency
It's Probably Probable
Learners make predictions and draw conclusions from given information as they learn the meaning of probability in this vocabulary-rich, integrated activity that presents a variety of teaching strategies to motivate and reach...
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...
CCSS Math Activities
Baseball Players
Statistics is an important part of baseball. Given the mean weight of players on a baseball team, scholars determine the total weight of the players. They then find the median and range of weights for the opposing team. Lastly, they...
Virginia Department of Education
The Real Meal Deal
Burgers and salads and sodas, oh my! Scholars use a menu to investigate the Fundamental Counting Principle. They create tree diagrams to illustrate the number of possible choices for each given scenario.
Virginia Department of Education
What Are the Chances?
Take a chance on an informative resource. Scholars conduct probability experiments involving coins and number cubes to generate data. Compiling class data helps connect experimental probability to theoretical probability.
EngageNY
Events and Venn Diagrams
Time for statistics and learning to overlap! Learners examine Venn Diagrams as a means to organize data. They then use the diagrams to calculate simple and compound probabilities.
Willow Tree
Histograms and Venn Diagrams
There are many different options for graphing data, which can be overwhelming even for experienced mathematcians. This time, the focus is on histograms and Venn diagrams that highlight the frequency of a range of data and overlap of...