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 instructional activity uses only two decision points to introduce tree...
EngageNY
Sampling Variability in the Sample Proportion (part 2)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
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...
Statistics Education Web
Sampling in Archaeology
Compare different random sampling types using an archaeological setting. Scholars collect data from an archaeological plot using simple random samples, stratified random samples, systematic random samples, and cluster random samples....
Statistics Education Web
It’s Elemental! Sampling from the Periodic Table
How random is random? Demonstrate the different random sampling methods using a hands-on activity. Pupils use various sampling techniques to choose a random sample of elements from the periodic table. They use the different samples to...
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.
EngageNY
Chance Experiments, Sample Spaces, and Events
Want a leg up on the competition? Show classes how to use mathematics to their advantage when playing games. Learners calculate probabilities to determine a reasonable scoring strategy for a game.
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...
EngageNY
Sampling Variability in the Sample Proportion (part 1)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
EngageNY
Sampling Variability in the Sample Mean (part 1)
How accurate is data collected from a sample? Learners answer this question using a simulation to model data collected from a sample population. They analyze the data to understand the variability in the results.
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...
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...
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...
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...
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...
Statistics Education Web
What Percent of the Continental US is Within One Mile of a Road?
There are places in the US where a road cannot be found for miles! The lesson asks learners to use random longitude and latitude coordinates within the US to collect data. They then determine the sample proportion and confidence interval...
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...
NASA
Code a Mars Sample Collection Video Game
Video game designer meets science in a lesson examining the science of space exploration. Young learners use online software to create a video game that mimics the process of sample collection on Mars. They must make appropriate...
Curated OER
Real-World Probability
Students explore the concept of probability. In this probability instructional activity, students create a video, poster, or podcast explaining what experiments, sample space, events, and outcomes are in relation to probability. ...
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...
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
PBS
Adding Integers
Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...
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...