Learning isn't a random process. A well-designed interactive lesson helps classes make key conclusions about stratified random sampling. They calculate group percentages and use those percentages to decide on sampling totals.

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...

All data is not created equal. Scholars examine the different types of studies and learn about the importance of randomization. They explore the meaning of causation and when it can be applied to data. 

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. 

Time to experiment with mathematics! Learners study experimental design and how randomization applies. They emphasize the difference between random selection and random assignment and how both are important to the validation of the...

Statistics can be manipulated to say what you want them to say. Teach your classes to be wise consumers and sort through the bias in those reports. Young statisticians study different statistical reports and analyze them for...

Young analysts use real (provided) data from a class's test scores to practice using statistical tools. Not only do learners calculate measures of center and spread (including mean, median, deviation, and IQ range), but...

Here is a fitting question for middle schoolers to consider: Is there a relationship between grade point average and frequency of sending texts? Starting statisticians examine a scatter plot and discuss any patterns seen.

Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison. 

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.

Don't leave learning to chance! Assess your class's understanding of random sampling and making inferences using questions from the experts at Smarter Balanced. As the seventh of nine parts in the Gr. 7 Claim 1 Item Slide Shows...

The penny arcade gets the statistics treatment in this fun probability investigation. A non-standard game of chance is described and then the class is set loose to find missing probabilities, determine common outcomes, and evaluate...

What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by...

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. 

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...

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...

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...

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. 

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.

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...

Probability prevails in this assignment as youngsters determine the probability of finding a blue pen in a cereal box when they can come in blue, green, yellow, or red. Learners set up a simulation to determine the outcome of compound...

Learners make predictions and draw conclusions from given information as they learn the meaning of probability in this vocabulary-rich, integrated activity that presents a variety of teaching strategies to motivate and reach...

To understand how biased data is misleading, learners analyze survey data and graphical representations. They use that information to design their own plans to collect information on consumer thoughts about Chocolicious cereal. 

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...