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Inside Mathematics
Winning Spinners
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
Illustrative Mathematics
Block Scheduling
If a random sample determines that 45% of students 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...
EngageNY
Sampling Variability in the Sample Mean (part 2)
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...
Indiana Science
How Many E’s?
Seventh graders explore random sampling by estimating the number of e's on the newspaper. They explain the possible error sources for this type of sampling, and compare the accuracy of sampling a small and large population. This is a...
Curated OER
Finding Probability
Students demonstrate how to find the probability of events. In this probability instructional activity, students use colored tiles in a paper bag and randomly select one at a time to record the probability.
College Board
2008 AP® Calculus BC Free-Response Questions
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
EngageNY
Probability Rules (part 1)
In statistics, probability rules—literally! Learners use their previous knowledge and explore a set of rules for conditional probability, independent probability, and complements. Given different scenarios, they must determine what type...
Curated OER
Sampling Distribution of Sample Means
Students collect data and crate a distribution sample. For this statistics lesson, students compare and contrast their collected data. This assignment requires the students to be comfortable with navigating the internet.
Curated OER
Statistics: Final Exam Review
In this statistics and probability worksheet, students are provided with a review of the final exam in statistics. The three page worksheet contains a combination of six multiple choice and free response questions. Answers...
Curated OER
Non-Random Variables: NBA Championship
Students demonstrate probability distribution of non-random variables. Students collect data on the NBA Championships. They record the data and compute subsets and permutations.
Curated OER
Statistical Specimens
Third graders are introduced to statistical vocabulary. They complete an online activity that asks them to calculate the mean, median and mode for a set of data.
Illustrative Mathematics
Words and Music I
What type of music is best to listen to while learning? In a short writing prompt, learners must determine if a scenario involving listening to music while memorizing material is an experiment or an observational study. The prompt also...
Curated OER
Learning to Make Data Tables
Students construct data tables using the results of previous experiments. In this graphing instructional activity, students plot data and interpret the results. Students discuss how they organized their data.
EngageNY
Drawing a Conclusion from an Experiment (part 1)
Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians!
EngageNY
Using Sample Data to Estimate a Population Characteristic
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 instructional activity explores the meaning of a population versus a sample and how...
EngageNY
Ruling Out Chance (part 2)
Help your classes find the significance in this lesson! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence.
Statistics Education Web
Consuming Cola
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....
EngageNY
Drawing a Conclusion from an Experiment (part 2)
Communicating results is just as important as getting results! Learners create a poster to highlight their findings in the experiment conducted in the previous lesson in a 30-part series. The resource provides specific criteria and...
Statistics Education Web
Types of Average Sampling: "Household Words" to Dwell On
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.
EngageNY
Sampling Variability in the Sample Mean (part 1)
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.
American Statistical Association
Don't Spill the Beans!
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...
American Statistical Association
Bubble Trouble!
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...
Education Development Center
Choosing Samples
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...
EngageNY
Margin of Error When Estimating a Population Proportion (part 2)
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...