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STATISTICS 1-2 FIRST QUARTER ILS Benchmark 10.A.5 Specific Topic Teacher Resources Experimental Design Sampling Chapter 1: 1.4 Overview of Statistics 1.1 - 1.3 (OPTIONAL) (Cover as needed OR use when covered at other points in the year) Project: Find statistics in real life Types of Data Types of Statistics 10.A. 4a Graphical Representations Frequency distributions Histograms Interpreting graphs Chapter 2: 2.1, 2.2, 2.3 (2.4 OPTIONAL) 6.C.5 10.A. 4a 10.A. 4b Measures of Central Tendency Mean, median, mode, midrange Round-off rule Weighted mean Skewness Chapter 3: 3.1, 3.2 Measures of Variation Range Standard deviation 3.4, 3.5 Comparing Data Z-scores Box plots, quartiles Percentiles 3.3 Correlation and Regression Correlation Linear correlation coefficient Regression Prediction Chapter 10: 10.1, 10.2 (Part 1) 10.A. 4c Projects: Data collection, graphs, measures of central tendency Correlation Project 10.3 OPTIONAL at this time Other Sources: NCTM (2003) Navigating through Data Analysis in Grades 9-12. Guidelines for all mathematics TEACHERS: STUDENTS: Pose rich mathematical tasks Explain and justify solutions orally and in writing Engage students in mathematics Consistently use estimation strategies Ask higher-level questions Determine whether results are reasonable Have high expectations for ALL students Use calculators and technology when appropriate Check the district website for additional math resources and information: www.psd150.org August 2007 STATISTICS 1-2 SECOND QUARTER ILS Benchmark 10.C. 4a 10.C. 4b 10.C. 5a 10.C. 5b 10.C. 4c 10.C. 5c 10.C. 5c Specific Topic Teacher Resources Probability Probability basics Complementary events Odds Addition and multiplication rules Conditional probability Fundamental Counting Principle Combinations Permutations Simulations (Optional) Chapter 4: 4.1 - 4.5, 4.7 Probability Distributions Random variables Probability histograms Mean and standard deviation Interpreting results Binomial probability distributions Poisson distribution (optional) Chapter 5: 5.1 - 5.4 Possible Project 4.6 (OPTIONAL) (5.5 OPTIONAL) Normal Probability Distribution Chapter 6: 6.1 - 6.6 Standard normal distribution Probability and z-scores Conversion to standard normal distribution Sample means Central Limit Theorem Normal as approximation to binomial Other Sources: NCTM (2004) Navigating through Probability in Grades 9-12. Guidelines for all mathematics TEACHERS: STUDENTS: Pose rich mathematical tasks Explain and justify solutions orally and in writing Engage students in mathematics Consistently use estimation strategies Ask higher-level questions Determine whether results are reasonable Have high expectations for ALL students Use calculators and technology when appropriate Check the district website for additional math resources and information: www.psd150.org August 2007 STATISTICS 1-2 THIRD QUARTER ILS Benchmark Specific Topic Continue: Normal Probability Distribution Teacher Resources Chapter 6 10.C. 4c 10.C. 5c Estimates and Sample Size Population proportions, means, and variance Point estimates Confidence intervals Determining sample size Chi Square distribution Chapter 7: 7.1 - 7.5 10.C. 4c 10.C. 5c Hypothesis Testing Hypotheses Significance Tests Proportion z-test, z-test, t-test P-Values Chi-square distribution Chapter 8 8.1, 8.2 Part 1 (Part 2 OPTIONAL), 8.3-8.6 Guidelines for all mathematics TEACHERS: STUDENTS: Pose rich mathematical tasks Explain and justify solutions orally and in writing Engage students in mathematics Consistently use estimation strategies Ask higher-level questions Determine whether results are reasonable Have high expectations for ALL students Use calculators and technology when appropriate Check the district website for additional math resources and information: www.psd150.org August 2007 STATISTICS 1-2 FOURTH QUARTER ILS Benchmark Specific Topic Teacher Resources 10.A. 5 10.B. 5 Inferences from Two Samples Significance Tests and Confidence Intervals Matched Pairs Tests Variation from 2 samples Chapter 9 9.1-9.5 10.A. 4c 10.A. 5 10.B. 5 10.C. 5 Correlation and Regression Correlation Regression Prediction Intervals r2 Multiple Regression (optional) Chapter 10 Continue where class left off during 1st Quarter. 10.2 (Part 2) - 10.4 10 Multinomial Experiments and Contingency Tables Chi-square Goodness of Fit Two-way Frequency Tables Final Project 10.5 OPTIONAL Chapter 11 11.1-11.3 Guidelines for all mathematics TEACHERS: STUDENTS: Pose rich mathematical tasks Explain and justify solutions orally and in writing Engage students in mathematics Consistently use estimation strategies Ask higher-level questions Determine whether results are reasonable Have high expectations for ALL students Use calculators and technology when appropriate Check the district website for additional math resources and information: www.psd150.org August 2007