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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 instructional activity uses only two decision points to introduce tree...
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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
Inside Mathematics

Winning Spinners

For Teachers 9th - 12th Standards
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...
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Lesson Plan
EngageNY

Chance Experiments, Sample Spaces, and Events

For Students 10th - 12th Standards
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. 
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Lesson Plan
EngageNY

Using Sample Data to Estimate a Population Characteristic

For Students 10th - 12th Standards
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...
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Lesson Plan
EngageNY

Sampling Variability in the Sample Proportion (part 1)

For Students 10th - 12th Standards
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...
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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
EngageNY

Sampling Variability in the Sample Proportion (part 2)

For Students 10th - 12th Standards
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...
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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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Lesson Plan
EngageNY

Sampling Variability in the Sample Mean (part 1)

For Students 10th - 12th Standards
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.
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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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