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 activity uses only two decision points to introduce tree diagrams. 
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. 
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...
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 plan explores the meaning of a population versus a sample and how to interpret...
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....
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...
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.
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....
Lesson Plan
Curated OER

Space Flight Simulation

For Teachers 9th - 12th
Learners engage in the study of flight with the help of a computer flight simulation. They take part in a variety of activities that imitate the Space Shuttle Endeavor. Students work as teams like the astronauts would to complete mission...
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...
Lesson Plan
Curated OER

Sampling the Ocean Floor

For Teachers 3rd - 12th
Students sample goodies from an unseen ocean floor and try to accurately describe their composition. This simulation helps students explain the limitations of sampling and the problem of obtaining representative samples of sea floor...
Lesson Plan
Curated OER

Real-World Probability

For Teachers 11th - 12th
Students explore the concept of probability.  For this probability lesson, students create a video, poster, or podcast explaining what experiments, sample space, events, and outcomes are in relation to probability.  Students...
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...
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...
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...
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.
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...
Lesson Plan
Curated OER

Space Science

For Teachers 8th
Eighth graders study the objects in our solar system.  In this space lesson students identify and describe planets, then classify them as terrestrial or gaseous.
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.
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...
Lesson Plan
Curated OER

Food for Spaceflight

For Teachers 3rd - 6th Standards
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,...
Lesson Plan
Curated OER

Galaxy Hunter - A Cosmic Photo Safari

For Teachers 10th - 12th
Space science stars journey through our night sky and take virtual photos of galaxies to investigate simple random samples. Higher math is used to analyze the data collected. Copy the evaluation/assessment questions onto a handout...
Lesson Plan
Curated OER

Reading and Writing about the Solar System

For Teachers K - 2nd
A superb interdisciplinary approach highlights this lesson which incorporates space science knowledge and narrative skills. After reading The Magic School Bus, two excellent poems, and watching a video, all about our solar system, young...
Lesson Plan
Curated OER

Law of Large Numbers - Hospital

For Teachers 7th - 9th
Students explore concepts of probability and independent events. They develop a formula for deviation percentage.

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