From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.

Don't allow your pupils to become outliers! As learners examine normal distributions by calculating z-scores, they compare outcomes by analyzing the z-scores for each. 

Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous lesson. They then extend this concept to hypothesis...

Conditional probability can be a confusing concept. A straightforward lesson provides reasonable examples of conditional probability, and models the most effective ways to reinforce the more complex parts of the lesson.

Reinforce the concept of probability with a series of lessons highlighting the idea of likelihood, probability formulas, relative frequency, outcomes, and event predictions. The collection is made up of four lessons offering informative...

Develop a deeper understanding of statistics. The six released free-response items from the 2002 AP® Statistics Form B involve several concepts that are currently in the regular statistics standards. Teachers see how...

Students estimate and then count the number of each color of M&M's in their bag. In this mathematics lesson, students find the experimental probability of selecting each color from the bag. Students create pictographs and bar graphs...

There's nothing normal about an extraordinary resource. Scholars change the dimensions of a normal distribution using a slider interactive. Determining the area under the graph gives probabilities for different situations.

Statisticians play a game of Bingo to discover the meaning of probability. They are given 12 markers to distribute across the numbers 1-12 on their playing mat. As a pair of dice is rolled, markers are removed from the playing mat. The...

You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...

In this sequences and probability activity, students solve 3 problems by writing out all the possibilities for the solution and they use probability to find their answers. They determine the probability of solar flares happening on a...

Check out this detailed lesson plan on conditional probability!  Learners work individually and also collaboratively to analyze the fairness of a game and justify their reasoning. it includes detailed notes and many helpful...

Students practice continuous probability distributions. For this probability lesson, students calculate probability, use probability functions, and use rectangular distribution.

Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.

This thirteen page data analysis worksheet contains a number of interesting problems regarding statistics. The activities cover the concepts of average measurements, standard deviation, box and whisker plots, quartiles, frequency...

Heads! A great way to practice probability is to flip a coin in class. The provided data allows your mathematicians to predict the probability of heads in ten coin flips. Bring coins to class and allow your own trial of heads or tails....

To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule,...

What is the probability of picking the same color ball out of three identical barrels? If you wanted to design a game that made money, how could you structure a game and what would you charge for each chance? How much should you pay a...

Is your knowledge of statistics at an AP® level? Scholars try out the 2008 AP® Statistics free-response questions. The questions cover box plots, scatter plots, distributions, probability distributions, experiments, statistical tests,...

There's no better way to prepare your class for the AP® test format than previous exams. Instructors and scholars use the 2012 AP® Statistics free-response questions to familiarize themselves with the test. Topics covered in the exam...

Here's another great way to learn from the past. Released free-response questions provide a look into how concepts measured on the 2005 AP® Statistics Exam on Form B. Teachers and pupils review questions that cover concepts such as...

Determine the probability that the class knows probability. The three-question assessment presents problems with finding the sample space and the probability, theoretical and experimental, of a variety of situations. Pupils also describe...

A hands-on simulation perfect for an economics lesson, young learners investigate the availability of different sources of natural energy (coal, natural gas, oil, solar, and nuclear) and how this availability affects their cost....

Students factor polynomial functions. In this algebra lesson, students solve problems through factoring and distribution of the negative sign correctly.