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
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

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

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
Illustrative Mathematics

Mr. Brigg's Class Likes Math

For Teachers 6th - 8th Standards
A quick discussion question that brings some collaboration into your classroom will allow your thinkers to make a decision about sampling. Mr. Briggs wants to know if the results from his class are a valuable comparison to the entire...
Activity
US Department of Commerce

Sample Means - Exploring Sampling Variability

For Teachers 7th Standards
Sample an excellent resource on sampling variability. Pupils analyze census data on the percentage of homes in each state that have Internet access. They take random samples of different sample sizes, determine the sample means, and then...
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
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
EngageNY

Understanding Variability When Estimating a Population Proportion

For Teachers 7th Standards
Estimate the proportion in a population using sampling. The 20th installment in a series of 25 introduces how to determine proportions of categorical data within a population. Groups take random samples from a bag of cubes to determine...
Instructional Video22:30
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Flipped Math

Sampling Methods

For Students 9th - 12th Standards
Pupils watch a video to learn about different types of sample design and how to use technology to create a random sample. They discover different types of bias that may happen due to the sampling design or the questions. Learners use...
Lesson Plan
1
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Curated OER

Estimating the Mean State Area

For Teachers 6th - 8th Standards
Seventh grade statisticians randomly select five states and then determine the mean area. The class then works together to create a dot plot of their results. 
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
EngageNY

Why Worry About Sampling Variability?

For Teachers 7th Standards
Are the means the same or not? Groups create samples from a bag of numbers and calculate the sample means. Using the sample means as an estimate for the population mean, scholars try to determine whether the difference is real or not.
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
Curated OER

College Athletes

For Teachers 6th - 9th Standards
When more basketball players are taller than field hockey players at a school, is it safe to say that in general they are always taller? The activity takes data from two college teams and your learners will be able to answer questions...
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...
Lesson Plan
EngageNY

Sampling Variability in the Sample Mean (part 2)

For Students 10th - 12th Standards
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 5

For Students 7th Standards
Show learners how to use simulations and random sampling to reach conclusions with the last resource in a 25-part series. The assessment contains three scenarios, each with several parts, and covers comparing populations using...
PPT
Biology Junction

Population Genetics

For Students 9th - 12th Standards
Genetic variation shows the health of a population, yet cheetahs show very little variation over that last 10,000 years. Scholars learn the importance of genetic variation in populations after viewing an informative presentation. It...
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Proportion (part 1)

For Students 10th - 12th Standards
Use the power of mathematics to find the number of red chips in a bag — it's a little like magic! The activity asks learners to collect data to determine the percentage of red chips in a bag. They calculate the margin of error and...
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Mean (part 2)

For Students 10th - 12th Standards
Don't leave your classes vulnerable in their calculations! Help them understand the importance of calculating a margin of error to represent the variability in their sample mean. 
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Proportion (part 2)

For Students 10th - 12th Standards
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...

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