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
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
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...
Lesson Plan
Curated OER

Random Sampling

For Teachers 7th - 9th
In this random sampling worksheet, students compare data collected by a random sample to data collected by an actual count using pieces of paper with numbers written on them. They compare their data for the actual count to the random...
Lesson Plan
Illustrative Mathematics

Election Poll, Variation 1

For Teachers 6th - 8th Standards
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...
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...
Worksheet
Curated OER

Graphing Data

For Students 7th
Seventh graders solve and graph 10 different problems that include various questions related to data on a graph. First, they create bar graphs to display the data given. Then, pupils determine the random sample of a population listing...
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
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.
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...
Lesson Plan
Statistics Education Web

Population Parameter with M-and-M's

For Students 9th - 12th Standards
Manufacturers' claims may or may not be accurate, so proceed with caution. Here pupils use statistics to investigate the M&M's company's claim about the percentage of each color of candy in their packaging. Through the activity,...
Activity
Illustrative Mathematics

Why Randomize?

For Teachers 9th - 12th Standards
Your statisticians draw several samplings from the same data set, some randomized and some not, and consider the distribution of the sample means of the two different types of samplings. The exercise demonstrates that non-random samples...
Worksheet
Houghton Mifflin Harcourt

Random Samples: Estimating Population

For Students 7th - 12th Standards
With this estimating populations assignment, your class will learn about taking random population samples and calculating the average number of species in the samples to estimate the total population. Students use the given data to find...
Lesson Plan
Illustrative Mathematics

Robot Races

For Teachers 6th - 8th Standards
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson along with...
Worksheet
Curated OER

Surveys and Samples

For Students 6th - 8th
In this surveys and samples worksheet, middle schoolers discover data collection techniques and write their own survey questions. Students use random sampling, convenience sampling, and systemic sampling and analyze their results.
Activity
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Illustrative Mathematics

Block Scheduling

For Teachers 9th - 12th Standards
If a random sample determines that 45% of learners favor block scheduling, is it possible that the actual percentage might be 50% or 60%? In this task, learners use data from a computer-generated simulation to determine the plausibility...

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