EngageNY
Estimating Probabilities by Collecting Data
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
Illustrative Mathematics
Weather Graph Data
Teaching young mathematicians about collecting and analyzing data allows for a variety of fun and engaging activities. Here, children observe the weather every day for a month, recording their observations in the form of a bar graph....
Illustrative Mathematics
Favorite Ice Cream Flavor
What better way to engage children in a math instructional activity than by talking about ice cream? Using a pocket chart or piece of chart paper, the class works together creating a bar graph of the their favorite ice cream flavors....
California Education Partners
Colorful Data
Scale up your lessons with a performance task. Young data analysts work through an assessment task on scaled bar graphs. They answer questions about a given scaled bar graph on favorite colors, analyze a bar graph to see if it matches...
EngageNY
Summarizing Bivariate Categorical Data
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.
EngageNY
Comparing Data Distributions
Box in the similarities and differences. The 19th lesson in a unit of 22 presents class members with multiple box plots to compare. Learners use their understanding of five-number summaries and box plots to find similarities and...
EngageNY
Summarizing a Data Distribution by Describing Center, Variability, and Shape
Put those numbers to work by completing a statistical study! Pupils finish the last two steps in a statistical study by summarizing data with displays and numerical summaries. Individuals use the summaries to answer the statistical...
EngageNY
Summarizing Bivariate Categorical Data with Relative Frequencies
It is hard to determine whether there is a relationship with the categorical data, because the numbers are so different. Working with a familiar two-way table on super powers, the class determines relative frequencies for each cell and...
EngageNY
Displaying a Data Distribution
Pupils analyze a display of data and review dot plots to make general observations about the highest, lowest, common, and the center of the data. To finish, learners match dot plots to scenarios.
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
Posing Statistical Questions
Is this a statistical question? The opening lesson in a series of 22 introduces the concept of statistical questions. Class members discuss different questions and determine whether they are statistical or not, then they sort the data...
Concord Consortium
Be Well
How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...
Concord Consortium
Here Comes the Sun
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
EngageNY
Creating a Dot Plot
Which dot am I? Pupils create dot plots to represent sample data through the use of frequency tables. The third segment in a series of 22 asks individuals to analyze the dot plots they created. The scholars translate back and forth...
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...
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
Distributions and Their Shapes
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory lesson to descriptive...
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,...
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
EngageNY
Developing a Statistical Project
The 17th lesson in a unit of 22 presents asks the class to conduct a statistics project. Pupils review the first two steps of the process of asking a question and collecting data. They then begin the process by developing a statistical...
EngageNY
Applying Probability to Make Informed Decisions
Use simulations to determine the probabilities of events to make decisions. Class members are presented with several scenarios, some with known probabilities and others without. Groups run simulations to gather data that they then use to...
EngageNY
Presenting a Summary of a Statistical Project
Based upon the statistics, this is what it means. The last lesson in a series of 22 has pupils present the findings from their statistical projects. The scholars discuss the four-step process used to complete the project of their...
Balanced Assessment
Toilet Graph
Mathematics can model just about anything—so why not simulate the height of water in a toilet bowl? The lesson asks pupils to create a graphical model to describe the relationship of the height of the water as it empties and fills again....
EngageNY
Describing Variability Using the Interquartile Range (IQR)
The 13th lesson in a unit of 22 introduces the concept of the interquartile range (IQR). Class members learn to determine the interquartile range, interpret within the context of the data, and finish by finding the IQR using an exclusive...