Page 48 - IM_Algebra2_FL Print Sample.pdf

Note on materials: Students should have access to a calculator with sine, cosine, and tangent buttons throughout the unit. Access to graphing technology is necessary for many activities, starting in lesson 8. Examples of graphing technology are: a handheld graphing calculator, a computer with a graphing calculator application installed, and an internet-enabled device with access to a site like desmos.com/calculator or geogebra.org/ graphing. For students using the digital materials, a separate graphing calculator tool isn’t necessary. Interactive applets are embedded throughout, and a graphing calculator tool is accessible on the student digital toolkit page.
S4 Statistical Inferences
In grade 7, students examined processes for collecting samples from a population and using information from the samples to estimate characteristics for the population. In this unit, students expand on this idea by exploring the normal distribution and applying their understanding of the distribution to provide estimates with a margin of error. The unit also examines experimental studies, observational studies, and surveys. For experimental studies it examines methods for analyzing the data using a randomization distribution.
The unit begins with an exploration of statistical questions and the type of study that is used to answer diVerent kinds of questions. In particular, it emphasizes the importance of random selection for gathering a sample for surveys and observational studies and the importance of random assignment in experimental studies.
The unit then transitions to an analysis of the data collected by examining the shapes of distributions and focusing on the normal distribution as a common and standardized shape. Data with an approximately normal shape can be modeled by a normal distribution to gain additional information such as the proportion of data to expect within certain intervals.
The unit concludes with ways to analyze the results from the various study types mentioned earlier in the unit. Data from surveys and observational studies using random samples are used to estimate population means and proportions with a margin of error. This analysis is based on the understanding of the normal distribution students gained in the previous section.
Students ultimately collect data from an experiment involving their heart rates and analyze the data using randomization distributions. Again, an understanding of the normal distribution is used this time to determine whether the experimental data is likely due to chance or the experimental treatment.
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