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Math III Common Core Curriculum Map 2012-2013 Common Core Unit Name: Unit Number: 8 Probability and Statistics Enduring Understanding: Students will take their enduring understandings of measures of central tendency, variations, distributions and continue to use them in their Math 4 class. Students will continue to use graphs, diagrams, and statistics in future courses to model the real world. Students will continue to use probability in their next math and one real world example would be weather. Students will look at data and critique the reasoning of others when determining if the conclusion has integrity. Standard S.ID.4 S.IC.1 S.IC.3 S.IC.4 S.IC.5 S.IC.6 S.MD.6 S.MD.7 Essential Questions S.ID.4 Can I use the mean and standard deviation of a data set to fit it to a normal distribution? S.ID.4 Can I use the mean and standard deviation of a data set to estimate population percentages? S.ID.4 Can I recognize data sets that don't fit the normal distribution curve? S.ID. 4 Can I use appropriate technology(calculators, spreadsheets, and tables) to estimate the areas under normal curves? S.IC.3 Can I recognize the differences among sample surveys, experiments, and observational studies and explain how randomization relates to each? S.IC.3 Can I recognize the purpose of sample surveys, experiments, and observations and explain how randomization relates to each? S.IC.1 Can I understand that statistics is a process for making inferences about populations parameters based on a random sample from the population? S.IC.5 Can I use data from a randomized experiment to compare two treatments? S.IC.5 Can I use simulations to decide if differences between parameters are significant? S.IC.6 Can I evaluate reports based on data? S.IC.4 Can I use data from a sample survey to estimate a population mean or proportion? S.IC.4 Can I develop a margin of error through the use of Pacing Guideline 10 days Key Academic Vocabulary area under normal curves data experiments experimental probability inferences margin of error mean normal distribution observations population mean population parameters population percentage probability random sample sample surveys simulation standard deviation statistics 1 Math III Common Core Curriculum Map 2012-2013 simulation models for random sampling? S.MD.6 Can I use probabilities to make fair decisions? S.MC.7 Can I analyze decisions and strategies using probabilities concepts? Suggested Resources by Unit Location of these resources 1. Students can check their work with this site. 1. www.wolframalpha.com 2. Interpreting Statistics: A Case of Muddying the Waters 2.http://map.mathshell.org/materials/lessons.php?taskid=217&subpage= problem 3. Modeling Conditional Probabilities 1: Lucky Dip 3.http://map.mathshell.org/materials/lessons.php?taskid=409&subpage= problem 4. Holt Algebra II Textbook 4. Ch. 10 can be used as a reference Ch. 12.1, 12.3, 12.6 2
