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EngageNY
Sampling Variability
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...
EngageNY
Random Sampling
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...
Curated OER
Using Random Sampling to Draw Inferences
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...
EngageNY
Selecting a Sample
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...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations
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...
EngageNY
Populations, Samples, and Generalizing from a Sample to a Population
Determine the difference between a sample statistic and a population characteristic. Pupils learn about populations and samples in the 14th portion in a unit of 25. Individuals calculate information directly from populations called...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations II
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...
EngageNY
Estimating a Population Proportion
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,...
EngageNY
Why Worry About Sampling Variability?
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.
EngageNY
Understanding Variability When Estimating a Population Proportion
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...
EngageNY
Methods for Selecting a Random Sample
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...
EngageNY
Sampling Variability and the Effect of Sample Size
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.
Radford University
Population Project
How fast does it grow? Scholars work on two tasks dealing with exponential growth, one on population growth and the second on investments. Learners research a country's population over the past century and make predictions of the current...
Illustrative Mathematics
Mr. Brigg's Class Likes Math
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...
Illustrative Mathematics
Election Poll, Variation 1
Your class will learn what it means to take a random sample of a population and to draw inferences from the information gained. In part a, of the exercise, you discuss with your class how students during a class election can be best...
Curated OER
College Athletes
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...
Omaha Zoo
Monitoring Amphibians
What sort of shoes do frogs wear? Open toad sandals. If your scholars want experience collecting field samples, this is the activity for you. After learning the proper way to collect field samples, pupils catch amphibians to test for...
Florida International University
Counting FishStix
How do we count the fish in the ocean? An engaging instructional activity models how to estimate fish populations with observational surveys. Class members begin by studying the behavior of fish on the coral reef in the oceans....
Howard Hughes Medical Institute
Population Genetics, Selection, and Evolution
The Hardy-Weinberg principle states that alleles and genotypes remain constant in the absence of evolutionary influences. Scholars complete a simple hands-on activity applying the Hardy-Weinberg principle to sample data. They observe how...
National Wildlife Federation
How Many Bison?
Math and science to the rescue! Some basic math concepts help scientists predict wildlife populations. Using tokens, groups simulate tagging a wildlife population. They then use proportions to estimate the population of the wildlife.
Radford University
Is it Really a Small World After All?
Working in groups, learners research four countries' populations over the past 30 years. Using the data collected, the teams find regression equations that best fit the data. Taking the regression equations, they then make predictions...
K20 LEARN
If Our Classroom Were The World: Proportions And Percents
It's a small world after all. Classmates consider world population, languages, and religions in a cross-curricular lesson. Applying percentages and proportions, they determine what the class make-up would be if the class represented the...
US Department of Commerce
Does the Percentage of People Who Walk to Work in Cities Vary with Population Size?
To walk or not to walk? Pupils create box plots comparing the percentage of residents who walk to work in large, medium, and small cities. Using the box plots, class members compare the data that reflects available statistics. Scholars...
Virginia Department of Education
Freshwater Food Chains
What's in the water? Encourage your class to further explore this question and learn about pond ecosystems, food chains, and food webs as they complete this hands-on activity. They view the environment from a new perspective...
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