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...
Curated OER
Probability - Worksheet
Middle schoolers solve and complete four various types of problems. First, they list all the possible orders completed. Then, pupilscomplete the table and show all the outcomes of throwing a coin and spinning a spinner. They also use a...
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...
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 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....
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 worksheet of questions on this topic.
Curated OER
Sample Spaces
In this sample spaces worksheet, 9th graders solve 10 different word problems that include sample spaces in each. First, they toss a coin and roll a die listing the sample spaces for each. Then, students flip one coin and select a card...
Curated OER
Integrated Algebra Regents Questions: Combinations and Probability
In this combinations and probability worksheet, students solve 3 short answer problems. Students draw tree diagrams to represent possible outcomes in a sample space. Students determine the probability of an event.
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
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...
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
The Counting Principle, Sample Spaces, and Probability
In this statistics and probability worksheet, students solve problems in which they use the counting principle and/or tree diagrams to determine the number of outcomes of an event or the probability of event occurring. The three page...
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...
Flipped Math
Unit 12 Review: Probability and Normal Distributions
It's time to assess probability knowledge. Individuals complete a set of problems to review concepts from the unit. They identify outcomes and sample spaces, determine compound and conditional probabilities, and investigate situations...
Flipped Math
Introduction to Probability
Chances are high that the class will probably like the lesson. Pupils view an introduction to probability and use the information to find probabilities of simple events based on the sample space. Scholars then use their knowledge of area...
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 instructional activity asks learners to use random longitude and latitude coordinates within the US to collect data. They then determine the sample proportion and...
Curated OER
Probability
In this probability instructional activity, learners solve and complete 32 different problems that include the probability and outcome of various events. First, they use the sample space for tossing a pair of dice to determine the...
Curated OER
Drawing One and Two Playing Cards With Replacement
Math whizzes use data from simulations to make theoretical generalizations and discuss possible relationships between several given events. They use a simple card game to generate data to be analyzed.
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...
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