Lesson Plan
EngageNY

Methods for Selecting a Random Sample

For Teachers 7th Standards
Random sampling is as easy as choosing numbers. Teams use random numbers to create a sample of book lengths from a population of 150 books. The groups continue by developing a technique to create samples to compare from two populations...
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
American Statistical Association

How Random Is the iPod’s Shuffle?

For Teachers 6th - 8th Standards
Shuffle the resource into your activity repertoire. Scholars use randomly-generated iPod Shuffle playlists to develop ideas about randomness. They use a new set of playlists to confirm their ideas, and then decide whether the iPod...
Lesson Plan
EngageNY

Random Sampling

For Teachers 7th Standards
Sample pennies to gain an understanding of their ages. The 16th installment of a 25-part series requires groups to collect samples from a jar of pennies. Pupils compare the distribution of their samples with the distribution of the...
Lesson Plan
EngageNY

Sampling Variability

For Teachers 7th Standards
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...
Lesson Plan
EngageNY

Estimating a Population Proportion

For Teachers 7th Standards
Find the percent of middle schoolers who want the ability to freeze time. The 21st installment in a series of 25 has groups collect a random sample of respondents who answer a question about superpowers. Using sample statistics,...
Lesson Plan
EngageNY

Using Sample Data to Compare the Means of Two or More Populations

For Teachers 7th Standards
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
Lesson Plan
EngageNY

Selecting a Sample

For Teachers 7th Standards
So what exactly is a random sample? The 15th part in a series of 25 introduces the class to the idea of selecting samples. The teacher leads a discussion about the idea of convenient samples and random samples. Pupils use a random...
Lesson Plan
EngageNY

Using Sample Data to Compare the Means of Two or More Populations II

For Teachers 7th Standards
The 23rd segment in a series of 25 presents random samples from two populations to determine whether there is a difference. Groups determine whether they believe there is a difference between the two populations and later use an...
Lesson Plan
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Illustrative Mathematics

Return to Fred's Fun Factory (with 50 Cents)

For Teachers 7th - 10th Standards
The penny arcade gets the statistics treatment in this fun probability investigation. A non-standard game of chance is described and then the class is set loose to find missing probabilities, determine common outcomes, and evaluate...
Lesson Plan
Statistics Education Web

Who Sends the Most Text Messages?

For Teachers 9th - 12th Standards
The way you use statistics can tell different stories about the same set of data. Here, learners use sets of data to determine which person sends the most text messages. They use random sampling to collect their data and calculate a...
Activity
US Department of Commerce

Exploring Sampling Variability - Higher Education Attainment Across The United States

For Teachers 6th - 7th Standards
More education in statistics is always beneficial. Given cards that provide the proportion of adults with bachelor's degrees in 10 random US states, scholars individually determine the sample percentage of states in which more than 30...
Lesson Plan
EngageNY

Sampling Variability and the Effect of Sample Size

For Teachers 7th Standards
The 19th installment in a 25-part series builds upon the sampling from the previous unit and takes a larger sample. Pupils compare the dot plots of sample means using two different sample sizes to find which one has the better variability.
Lesson Plan
Statistics Education Web

Consuming Cola

For Students 9th - 12th Standards
Caffeine affects your heart rate — or does it? Learners study experimental design while conducting their own experiment. They collect heart rate data after drinking a caffeinated beverage, create a box plot, and draw conclusions....
Lesson Plan
Statistics Education Web

Types of Average Sampling: "Household Words" to Dwell On

For Students 9th - 12th Standards
Show your classes how different means can represent the same data. Individuals collect household size data and calculate the mean. Pupils learn how handling of the data influences the value of the mean. 
Lesson Plan
American Statistical Association

Don't Spill the Beans!

For Teachers 6th - 8th Standards
Become a bean counter. Pupils use a fun activity to design and execute an experiment to determine whether they can grab more beans with their dominant hand or non-dominant hand. They use the class data to create scatter plots and then...
Lesson Plan
American Statistical Association

Bubble Trouble!

For Teachers 6th - 8th Standards
Which fluids make the best bubbles? Pupils experiment with multiple fluids to determine which allows for the largest bubbles before popping. They gather data, analyze it in multiple ways, and answer analysis questions proving they...
Activity
Education Development Center

Choosing Samples

For Students 6th - 7th Standards
What makes a good sample? Your classes collaborate to answer this question through a task involving areas of rectangles. Given a set of 100 rectangles, they sample a set of five rectangles to estimate the average area of the figures. The...
Unit Plan
National Security Agency

It's Probably Probable

For Teachers 6th - 8th Standards
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...
Lesson Plan
EngageNY

Summarizing Bivariate Categorical Data

For Teachers 9th - 10th Standards
How do you summarize data that cannot be averaged? Using an exploratory method, learners complete a two-way frequency table on super powers. The subject matter builds upon 8th grade knowledge of two-way tables. 
Activity
National Council of Teachers of Mathematics

Eruptions: Old Faithful Geyser

For Teachers 9th - 12th Standards
How long do we have to wait? Given several days of times between eruptions of Old Faithful, learners create a graphical representation for two days. Groups combine their data to determine an appropriate wait time between eruptions.
Lesson Plan
Statistics Education Web

Text Messaging is Time Consuming! What Gives?

For Students 9th - 12th Standards
The more you text, the less you study. Have classes test this hypothesis or another question related to text messages. Using real data, learners use technology to create a scatter plot and calculate a regression line. They create a dot...
Lesson Plan
American Statistical Association

Armspans

For Teachers 6th - 8th Standards
Young mathematicians collect data on the arm spans of classmates. Then they sort the data by measures of center, spread, and standard deviation. Finally, they compare groups, such as boys and girls, to interpret any differences. 
Lesson Plan
American Statistical Association

Exploring Geometric Probabilities with Buffon’s Coin Problem

For Teachers 6th - 8th Standards
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.

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