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Ch11 and 12 Stat and Probability Cross-Curricular Ties: I Can… A.SSE.4 S.IC.2 S.MD.7 S.IC.1 S.ID.4 S.IC.3 S.IC.5 Derive the formula for the sum of a finite geometric series, and arithmetic series (when the common ratio is not 1), and use the formula to solve problems. Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game Understand statistics as a process for making inferences about population parameters based on a random sample from that population Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. Keywords: Arithmetic series Geometric series Sequence Series Recursive formula Explicit formula Variance Standard deviation Random sample Normal distribution Probability distribution Quartiles Inner quartiles Percentile Standard Normal Curve Project ties: Topic(s) Suggested Text PH2011 Common Core Arithmetic and Geometric Sequences 11.2, 11.3 A.SSE.4 Arithmetic and Geometric Series 11.4, 11.5 A.SSE.4 Applications of Series A.SSE.4 Probability, Combinations, Permutations 1.6, 6.7 Review for S.IC.2 Probability of Multiple Events 9.7 S.IC.2 Probability Distributions 12.1 S.MD.7, S.IC.2 Conditional Probability 12.2 S.MD.7, S.IC.2 Analyzing Data 12.3 S.IC.1 and 2, S.ID.4 Standard Deviation 12.4 S.ID.4 Working with Samples 12.5 S.IC.1 Science, Technology, Engineering, & Math (STEM) Activities Step 1 2 3 Activity Write the definitions for 3x5 cards 6 minutes on explicit or Pg 602 recursive functions examples 3 and 4 Pg 603 13 – 31 odd Assessment What is a sequence notes a.ss.e4 4 Arithmetic v. Geometric sequence 5 6 Pg 608 1-19 odd Pg 614 1-21 odd Kahn 1, Pg 620 Where the box on pg 620 comes Examples 1 from, and 2 Sumation notation 7 8 Pg 622 1-23 odd -Where that crazy formula on pg Geometric Pg 626 626 comes from series and examples 1, -Using the geometric series sequences and 2 formula Pg 628 1-17 odd Pg 649 example 3, 4 Pg 652 6-9 (Should know what mean, More help on quartiles here median, and mode are example 1) Pg 662 example 3, 5, and 6 Pg 664 1-11 odd Calculating the standard deviation (pg 669 box and example 2) and what it means (pg 671 example 4) Pg 672 1-19 odd Types of statistical studies (Randomization) 1-25 odd here (read through the examples for help on how to do the problems please). -The standard normal Copy down the Normal curve can be found here standard normal Distribution -Practice on normal curve found on pg With a southern distribution problems 693 accent Examples 3 and 4 Pg 695 1-19 odd Review 9 10 11 12 13 14 15 16 17 18 19 20 Pg 606 example 1, 2 Look at the box on pg 607 telling how to write arithmetic sequence formulas Pg 613 example 1 and 2 Again, look at the box on pg 613 telling how to write geometric sequence formulas -Sigma or summation notation -What an arithmetic series is a.sse.4 a.sse.4 a.sse.4 a.sse.4 a.sse.4 S.IC.2 S.IC.2 S.IC.2 S.IC.2 21 Test