MDM4U+Fall+2012

Unit 1: Counting Unit 2: Probability Distributions Unit 3: Continuous Distributions Unit 4: Statistical Analysis See homework questions assigned from unit 4 below. Focus on interpretation of data (cause and effect, sample types, data types, bias, etc.) ** MDM4U Unit 4: Statistical Analysis ** **Project Links:**  **** ****  ****  [] Explanation of Sampling Techniques using M&Ms (mmm) http://www.youtube.com/watch?v=wHgI6TolySw&NR=1 || [] || || Handout ||  || Challenge: 12 || Strength of Correlations [] || [] Great interactive website for exploring linear regression [|http://standards.nctm.org/document/eexamples/chap7/7.4/index.htm#applet] || [] || [] || http://www.statcan.gc.ca/estat/guide/guide-eng.htm || ** MDM4U Unit 3: Continuous Probability Distributions ** Use the following document to help you input your reaction time data on Microsoft Excel. || 2.5 and 2.6 || p. 133 #1, 2, 3, 4, 9, 16 || [] The average, Sample vs. Population Mean, Sample Variance, Standard Deviation || || 7.1 and 8.1 || p. 371 #1 and p. 419 #1, 2, 3ab, 6 ||  || || 8.2 || p. 430 #1, 2, 3, 4, 6, 7 Challenge: 10, 11 || [] Introduction to the Normal Distribution Normal Distribution Problems: Empirical Rule Normal Distribution Problems: Z-score || 8.3 || p. 439 #1, 2, 3 Challenge #9 and 10 || [] Normal Distribution Problems: Z-score || || 8.4 || p. 449 #1, 2, 3, 4, 6, 7, 10, 13 || Youtube - fully worked solution [] || [|http://education.ti.com/calculators/downloads/US/Software/Detail?id=177#] ||
 * Final Exam Preparatio**n
 * Course Review**
 * Date Complete || Lesson Title || Section / handout || Homework || Website for video clip solutions ||
 * || Sampling Techniques || 2.3 || p. 117 1, 2, 3, 4, 5, 7, 8, 9, 12 || Visual Explanation of Sampling Techniques
 * || Sampling Techniques || 2.3 || p. 117 1, 2, 3, 4, 5, 7, 8, 9, 12 || Visual Explanation of Sampling Techniques
 * || Bias and Biased Questioning || 2.4 || p. 123 1, 2, 3, 4, 6, 8 || How to ask unbiased and fair questions
 * || Types of Data and Analysis of these types || Handout
 * || Correlation || 3.1 || p. 169 1, 2, 3, 4, 5, 6, 10
 * || Linear Regression || 3.2 || p. 171 1, 2, 3, 4, 5, 6, 7, 11 || How to perform linear regression on TI 83
 * || Non-Linear Regression || 3.3 || p. 191 1, 2, 3, 4, 5, 9 ||  ||
 * || Cause and Effect || 3.4 || p. 195 1, 2, 3, 4, 5, 6, 8, 14 || Correlation vs. Causation by comedian (warning: may or may not actually be funny)
 * || Critical Analysis of Data || 3.5 || 1, 2, 3, 4, 5, 8, 10 || Gapminder, Hans Rosling and “No More Boring Data. Eh?”
 * || Online Data Collection Exercises and Project Preparation ||  ||   || Statistics Canada Investigations
 * Lesson Title || Section / handout || Homework || Websites ||
 * Measures of Centre and Spread (mean, median, mode, standard deviation and variance)
 * Statistics **
 * Continuous Probability Distributions
 * Properties of the Normal Distribution
 * Statistics **
 * Normal CDF on a graphing calculator **
 * [] ** ||
 * Normal Sampling and Modelling
 * Statistics **
 * Normal Approximation to the Binomial
 * //__ Extension: __// Confidence Intervals || 8.6 || p. 465 #5, 6 || See above recommended video clips ||
 * Unit 3 Test || 7.1, 2.5-2.6, 8.1-8.4 || [[file:nacimath/MDM4U Unit 3 Practice test.doc|MDM4U Unit 3 Practice test.doc]]
 * [[file:nacimath/Unit 3 Continuous Distributions Solutions.pdf|Unit 3 Continuous Distributions Solutions.pdf]] **
 * Note: Thinking / Inquiry #2, the question should read: class 2 has a deviation of 10 ** || TI 83 Emulator

** MDM4U Unit 2: Probability Distributions ** **Probability Distributions Practice Test******

**Additional Practice Problems:**Although all of the questions are good practice, I recommend you try the following exercises: #1, 2, 3, 4, 5, 6, 11, 12, 13, 20, 22, 27, 31, 36 **Games Fair Project. To be run in class Nov 2nd, and 3rd. Report due on the 9th.******

Challenge: 14, 18 || Independent and Dependent Probabilities [] || [] || Challenge: 15 ||  || Challenge: 10, 11 || Two examples of a binomial Probability: [] http://www.khanacademy.org/video/binomial-distribution-1?playlist=Statistics || Challenge: 18 || Geometric Probability http://www.youtube.com/watch?v=INvbj5LKZKc || Challenge: 9 || Hypergeometric Probability http://www.youtube.com/watch?v=pkk7hjmgVos ||
 * Lesson Title || Section / handout || Homework || Website for video clip solutions ||
 * Independent and Dependent Probabilities || 6.4 || p. 334 #1, 2, 3, 4, 10, 11
 * Expected Value || 7.1 || p. 374 #3, 4, 8, 10, 12, Challenge: 13 || Good example of expected value
 * Probability Distributions || 7.1 || p. 374 #2, 5, 18a, 19
 * Binomial Probability Distribution || 7.2 || p. 385 #1, 2, 3, 5, 6bc, 7ab, 8ab, 15, 17
 * Geometric Probability Distribution || 7.3 || p. 394 #1, 2, 3, 4, 7, 10, 13
 * Hypergeometric Probability Distributions || 7.4 || p. 404 #1, 2, 3, 4, 7, 8, 10, 11, 12

** MDM4U Unit 1: Probability and Counting ** Challenge: 14 || Explanation of some patterns in Pascal's Triangle (or Jia Xian's triangle, more appropriately) http://www.youtube.com/watch?v=bMB8qDYa8N0 Pascal's Triangle using Micosoft Excel http://www.youtube.com/watch?v=LUsczE6HkuM || Challenge: 10a || Venn Diagram example [] || Challenge: 11 || Fundamental Counting Example [] || Challenge: 9, 11 || Factorials and permutations example [] || Challenge: 18, 19 || Identical Elements [] || [] || Challenge: 9 || Combinations and Probability [] || p. 318 #1, 2, 3, 9 p. 324 #1, 5, Challenge: p. 318 #6, p. 326 #15 || Probability Definitions and basic examples: [] || Challenge: 14, 18 || Independent and Dependent Probabilities [] ||
 * Lesson Title || Section / handout || Homework || Website for video clip solutions ||
 * Counting with Pascal’s Method || 4.4, 4.5 || p. 254 #1, 2, 3, 4, 5, 6, 7
 * Counting with Venn Diagrams || 5.1 || p. 270 #1, 2, 3, 4, 7
 * Fundamental Counting Principle || 4.1 || p. 229 #1, 6, 7, 8, 9, 10, 12, 13, 20
 * Factorials and Permutations || 4.2 || p. 239 #1, 2, 3, 4, 5, 6, 10
 * Permutations with identical elements || 4.3 || p. 245 #1, 2, 3, 4, 5, 7, 8
 * Combinations || 5.2 || p. 279 #1, 3, 4, 5, 6, 8, 9, 11, 12, 18 || Combinations
 * Problem Solving with Combinations || 5.3 || p. 286 1, 2, 4, 11, 13
 * Probability, odds and Counting || 6.1, 6.2, 6.3 || p. 310 #1, 2, 4
 * Independent and Dependent Probability || 6.4 || p. 334 #1, 2, 3, 4, 10, 11

Practice Test: Even MORE review questions: - You can try them all if you want, but I recommend #1, 3, 4, 7, 8, 10, 13, 16, 17, 18, 19, 26, 29, 30, 34, 60, 68


 * Project 1**