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Lesson Plan
EngageNY

Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities

For Teachers 7th Standards
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. 
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Lesson Plan
EngageNY

Chance Experiments with Equally Likely Outcomes

For Teachers 7th Standards
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....
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Assessment
Bowland

Lottery

For Teachers 6th - 8th Standards
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...
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Lesson Plan
Statistics Education Web

Sampling in Archaeology

For Students 9th - 12th Standards
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....
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Lesson Plan
Statistics Education Web

It’s Elemental! Sampling from the Periodic Table

For Students 9th - 12th Standards
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...
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Lesson Plan
Willow Tree

Data Sampling

For Students 9th - 12th Standards
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.
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Interactive
CK-12 Foundation

Sample Spaces and Events: Triple Spin!

For Students 6th - 10th Standards
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.
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Assessment
Mathed Up!

Stratified Sampling

For Students 7th - 11th Standards
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.
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Printables
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Houghton Mifflin Harcourt

Unit 6 Math Vocabulary Cards (Grade 6)

For Students 6th Standards
Fifty-eight flashcards make up a set designed to reinforce math vocabulary. Within the set, you'll find bold-faced word cards as well as definition cards that offer a labeled example. Terms include base, percent, theoretical probability,...
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Lesson Plan
Curated OER

Data Analysis, Probability, and Discrete Math

For Teachers 4th - 7th Standards
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...
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Worksheet
Curated OER

Probability - Worksheet

For Students 7th - 8th
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...
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Lesson Plan
Project Maths

Probability and Relative Frequency

For Teachers 7th - 12th Standards
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...
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Lesson Plan
Curated OER

Using Random Sampling to Draw Inferences

For Teachers 7th Standards
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...
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Lesson Plan
Statistics Education Web

What Percent of the Continental US is Within One Mile of a Road?

For Students 9th - 12th Standards
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...
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Activity
Grid Games Galore

Math Games Students Like to Play

For Teachers 3rd - 7th
These may not all be your cup of tea, but you'll likely find some gold in this math games packet. Find brief, easy-to-execute games (like Integer Football) and that are perfect for review or even a substitute teacher plan. 
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Lesson Plan
EngageNY

Counting Rules—The Fundamental Counting Principle and Permutations

For Teachers 11th - 12th Standards
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...
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Interactive
CK-12 Foundation

Permutations: Podiums

For Students 9th - 12th Standards
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...
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Interactive
CK-12 Foundation

Permutations and Combinations Compared: Colored Candies

For Students 9th - 12th Standards
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...
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Lesson Plan
Curated OER

Drawing One and Two Playing Cards With Replacement

For Teachers 6th - 9th
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.
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Lesson Plan
EngageNY

Calculating Probabilities of Compound Events

For Teachers 7th Standards
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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Worksheet
Curated OER

Sample Spaces

For Students 9th
In this sample spaces instructional activity, 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...
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Worksheet
Curated OER

Integrated Algebra Regents Questions: Combinations and Probability

For Students 6th - 8th
For 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.
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Lesson Plan
Curated OER

Real-World Probability

For Teachers 11th - 12th
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. ...
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Lesson Plan
Curated OER

Explorations for the Area Probability Applet

For Teachers 7th - 10th
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.