Willow Tree
Data Sampling
Some say that you can make statistics say whatever you want. It is important for learners to recognize these biases. Pupils learn about sample bias and the different types of samples.
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.
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 activity of questions on this topic.
Curated OER
Data Analysis, Probability, and Discrete Math
Choose to supplement your probability unit with this resource and you won't be disappointed with the outcome. Teach young mathematicians to organize information using tree diagrams and lists in order to determine the possible outcomes of...
Project Maths
Probability and Relative Frequency
It's all relatively simple once you get the gist. Young mathematicians learn about sample spaces and simple probability by conducting an activity with dice. To complete the second of six parts in the Statistics and Probability unit, they...
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 inferences...
EngageNY
Counting Rules—The Fundamental Counting Principle and Permutations
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
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 and...
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 appropriate...
Curated OER
Food for Spaceflight
When astronauts get hungry in outer space, they can't just call and have a pizza delivered. In order to gain an appreciation for the challenges associated with space travel, young learners are given the task of selecting, testing, and...
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 all learning...
CK-12 Foundation
Measurement of Probability
Stockings make your legs warmer and math more enjoyable. A drag-and-drop interactive has pupils take stockings out of drawers to calculate probabilities. This includes dependent events where the probabilities depend on previous stocking...
CK-12 Foundation
Permutations and Combinations Compared: Ice Cream Bar
Learning math from an ice cream shop—what a tasty treat! Individuals use an interactive to list all possibilities for a double-scoop ice cream. Along the way, they learn to distinguish between permutations and computations.
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 more...
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...
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.
Utah Education Network (UEN)
Probability and Statistics
MAD about statistics? In the seventh chapter of an eight-part seventh-grade workbook series, learners develop probability models and use statistics to draw inferences. In addition, learners play games and conduct experiments to determine...
Curated OER
Moon Mining
Go on a moon mining expedition from the safety of your classroom with this space exploration simulation. Using simple models of the moon's surface prepared ahead of time by the teacher, young scientists are challenged with locating and...
EngageNY
Using Permutations and Combinations to Compute Probabilities
Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...
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...
CK-12 Foundation
Definition of Probability: It's in the Bag!
It's not in the bag. An interactive provides the probability of picking a certain color marble from a bag after several marbles have been removed. Young mathematicians learn about dependent events from this resource.
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...
CK-12 Foundation
Operations with Sets: Let's Roll the Dice!
There's no need to roll dice for this probability experiment, the resource includes them already. Scholars use an interactive to see how including more possibilities as favorable outcomes in a dice activity affects the probabilities....