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Let’s estimate some probabilities.
In this section, students learn how to quantify the likelihood of events using probability. First, they use their intuition about chance experiments, such as drawing items from a bag or flipping a coin, to informally describe how likely events are to happen. Then, students begin to assign values to the likelihood, such as 50% or , and recognize these as...
Let’s estimate some probabilities.
In this section, students examine samples taken from a larger population and use randomness to select a sample that is less biased than other methods. They begin by comparing two small populations based on their measures of center and variability. Then students consider much larger populations to motivate the need to sample to obtain data. This leads to considering how...
In this section, students expand their understanding of probability to more complex chance experiments that involve multiple steps, such as rolling a number cube and flipping a coin or predicting the weather on multiple days. They begin by continuing their work with simulations to estimate probabilities of these types of situations, then they use structures such as tree diagrams, tables,...
In this section, students use samples to gain information about the populations they represent. In particular, students estimate measures of center and proportions for populations based on information from a sample. Then, they use samples and a general rule involving measures of variability to determine whether the two groups are meaningfully different.
In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.
The lesson in this section is optional because it offers additional opportunities to practice standards that are not a focus of the grade.
Let’s put it all together.