Closer to 2010 than expected. Several of the 1999 AP® Statistics free-response questions align to Common Core standards. Items ask pupils to analyze residuals, two-way tables, and calculate expected values to determine the fairness...

Provide some practice showing the work. Pupils work through six free-response questions that require them to show their work. They use their knowledge of statistics to develop solutions to problems within context. Scenarios range from...

Students explore expected value, are introduced to the concept of varying payoffs, and have used a computer simulation of a "real world" example where expected value is used

The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...

Students explore the concept of probability in sports. In this probability in sports lesson, students research a sport that they enjoy. Students find probability information related to their sport. Students share their findings with the...

Students use hands-on activities to study statistics. They review the chi-square distribution and expected value. Activities involve discovering calculation a hypothesis, frequency distribution, and probability.

Students explore the concept of probability. In this probability lesson, students simulate a controlled forest burn using an applet. Students vary the probability of trees burning and predict what will happen.

Review basic probability concepts with your class using different-colored marbles in a bag. Then pair up learners and have them play a cool online interactive game in which they race miniature cars using the roll of a die or...

Young scholars explore the concept of probability. In this probability lesson plan, students use random number generators to determine probabilities of events. Young scholars discuss if certain probable events are fair. Students...

Students practice and determine expected values of experiments as well as distributions of experiments. They find the area of rectangles and circles and determine elementary probabilities. Probability exercises begin with quarters and...

Pupils determine expected values of experiments and explore distributions of experiments. They guess as to how many times a coin will flip heads in fifty tries. They flip a coin fifty times graphing the results on a histogram. They...

Winning a lottery game with 60% odds sounds like a no brainer. This is when the math kicks in to show players that in the long run, they lose money the more often they play. Here is one simple question that opens the doors to a nice...

Statistics is all about making inferences. Can you infer how your pupils will fair on their AP® exams? Collect your own data by giving them practice tests such as the 2015 free-response exam. The six-question test includes topics such as...

In this continuous probability distribution worksheet, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities using exponential...

Students collect data by conducting a survey of fellow classmates. They investigate the relationship between estimates obtained from samples and theoretical probabilities. Answer keys included.

A video presentation shows duck-shaped soap that has a $1, $5, $10, $20, or $50 bill in its center. Learners consider different population distribution of the bills to determine a reasonable price for the duck. 

Learners explore the concept of fairness. In this fairness lesson, students play four probability games. Learners determine who has the best chance of winning each of the four games. Students discuss which games gave an unfair advantage.

Learners investigate why theoretical probability doesn't always match reality. The activity involves using Python 2.7 (or Sage) to set up a Bernoulli Trial. It also involves setting up a spreadsheet to simulate the Birthday Paradox....

What middle schooler does not enjoy an occasional online game? In this lesson play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept of tree models,...

Statistically speaking, the content covers several grades. Featuring all of the statistics typically covered in a college-level Statistics course, the expansive content spans from sixth grade on up to high school. Material...

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...

Students review previous lessons on mean, variance, standard deviation, and expected value. They utlize formulas for these characteristics that are specifically designed for the binomial distribution. Students discuss the similarities...

We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.

Develop a complete understanding of the course. Pupils and teachers use the six free-response questions to gather information about aspects of the AP® Statistics course. The resource and test section show how items cover the content. A...