• Module 4: Analyzing Populations and Probabilities

In this module, students will learn the basics of probability and use the theoretical and experimental probability of simple and compound events to make predictions. They will use models and simulations to determine probabilities. Students will build on their experiences with measures of center, the five-number summary, plots of numerical data, and proportional reasoning to draw comparative inferences between two populations.

• In this topic, students conduct simple experiments and determine theoretical and experimental probabilities of simple events. They use familiar objects, such as number cubes and spinners, to learn the terminology of probability and calculate probabilities. As students continue using simple probability tools, they learn about using uniform and non-uniform probability models to organize the probabilities of the outcomes in a sample space.
• MATHia Workspaces (3)
• Determining Probabilities
• Comparing Experimental and Theoretical Probabilities
• Simulating Simple Events

Topic 2: Compound Probability

• In ths topic, students build on their understanding of probability concepts by using arrays and lists to organize possible outcomes of an experiment that includes two simple events. They'll calculate experimental and theoretical probabilities of events and use proportional reasoning to determine percent error to make predictions of expected numbers of outcomes.
• MATHia Workspaces (3)
• Introduction to Compound Events
• Calculating Compound Probabilities
• Simulating Compound Events

Topic 3: Drawing Inferences

• In this topic, students continue developing their understanding of the statistical process by exploring the second component of the process: data collection. They learn about samples, populations, censuses, parameters, and statistics. Students then discuss the importance of representative samples, including random samples, for the purpose of making generalizations about the populations represented by the samples.
• MATHia Workspaces (3)
• Using Statistics to Draw Inferences About a Population
• Comparing Characteristics of Data Displays
• Comparing Populations using Data Displays