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Common Core: Standard
Common Core: ELA
Common Core: Math
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 Module 2 builds on students’ previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of...

 Students will use trigonometric functions to model periodic phenomena (FTF.B.5) by fitting sinusoidal functions to data (SID.B.6a). Students use the properties of the graphs of sinusoidal...

 Student Outcomes Students model cyclical phenomena from biological and physical science using trigonometric functions. Students understand that some periodic behavior is too complicated to be modeled...

 Inferences and Conclusions from Data Students build a formal understanding of probability, considering complex events such as unions, intersections, and complements as well as the concept of...

 Chance experiments, sample space, and events such as unions, intersections, and complements are explained. Probabilities of unions and intersections are calculated using data in twoway tables and...

 Student Outcomes Students determine the sample space for a chance experiment. Given a description of a chance experiment and an event, students identify the subset of outcomes from the sample space...

 Student Outcomes Students calculate probabilities given a twoway table of data. Students construct a “hypothetical 1000” twoway table given probability information. Students interpret probabilities...

 Student Outcomes Students use a hypothetical 1,000 twoway table to calculate probabilities of events. Students calculate conditional probabilities given a twoway data table or using a hypothetical...

 Student Outcomes Students construct a hypothetical 1,000 twoway table from given probability information and use the table to calculate the probabilities of events. Students calculate conditional...

 Student Outcomes Students represent events by shading appropriate regions in a Venn diagram. Given a chance experiment with equally likely outcomes, students calculate counts and probabilities by...

 Student Outcomes Students use the complement rule to calculate the probability of the complement of an event and the multiplication rule for independent events to calculate the probability of the...

 Student Outcomes Students use the addition rule to calculate the probability of a union of two events. Students interpret probabilities in context.

 Smooth curves are used to model given data distributions, eventually using the normal distribution to model data distributions that are bell shaped and symmetric. Tables and technology are used to...

 Student Outcomes Students describe data distributions in terms of shape, center and variability. Students use the mean and standard deviation to describe center and variability for a data...

 Student Outcomes Students draw a smooth curve that could be used as a model for a given data distribution. Students recognize when it is reasonable and when it is not reasonable to use a normal curve...

 Student Outcomes Students calculate z scores. Students use technology and tables to estimate the area under a normal curve. Students interpret probabilities in context.

 Student Outcomes Students use tables and technology to estimate the area under a normal curve. Students interpret probabilities in context. When appropriate, students select an appropriate normal...

 The purposes of and differences among observational studies, surveys, experiments are explored along with how randomization relates to each. Data from random samples are used to estimate a...

 Student Outcomes Students distinguish between observational studies, surveys and experiments. Students explain why random selection is an important consideration in observational studies and surveys...

 Student Outcomes Students differentiate between a population and a sample. Students differentiate between a population characteristic and a sample statistic. Students recognize statistical questions...

 Student Outcomes Students understand the term “sampling variability” in the context of estimating a population proportion. Students understand that the standard deviation of the sampling distribution...

 Student Outcomes Students understand the term “sampling variability” in the context of estimating a population proportion. Students understand that the standard deviation of the sampling distribution...

 Student Outcomes Students use data from a random sample to estimate a population proportion. Students calculate and interpret margin of error in context. Students know the relationship between sample...

 Student Outcomes Students use data from a random sample to estimate a population proportion. Students calculate and interpret margin of error in context. Students know the relationship between sample...