Mr.+Garrison+MDM4U+Spring+2011

** MDM4U Unit 4: Statistical Analysis ** **Project Links:** [|MDM4U Survey Statistics Project.doc] Timeline:Survey questionnaires compiled by May 30th**Presentations start on June 9th, 2011** [|MDM4U Presentation Marking Scheme.doc] **Data Management Reports, due the week of June 13th** [|MDM4U Statistics report.doc][|Elements of a good statistics report.doc] [] || Good explanation of hypothesis testing [] || [] || [] Explanation of Sampling Techniques using M&Ms (mmm) http://www.youtube.com/watch?v=wHgI6TolySw&NR=1 || [] || [|Lesson 3 Types of Data and Survey Creation.doc] [|Lesson 5 MDM4U Fathom Introduction.doc] || Handout ||  || Challenge: 12 || Strength of Correlations [] || [] Great interactive website for exploring linear regression [] || [] || [] || http://www.statcan.gc.ca/estat/guide/guide-eng.htm || ** MDM4U Unit 3: Continuous Probability Distributions ** [|Lesson 2 Measures of Spread and Centre.ppt] || 2.5 and 2.6 || p. 133 #1, 2, 3, 4, 9, 16 || [] ** Statistics ** The average, Sample vs. Population Mean, Sample Variance, Standard Deviation || [|Lesson 1 Continuous and Discrete Probability Distributions.ppt] || 7.1 and 8.1 || p. 371 #1 and p. 419 #1, 2, 3ab, 6 ||  || [|Lesson 3 Types of Distribution.ppt] [|Lesson 4 The Normal Distribution.ppt] [|Lesson 5 Z-Scores and Normal Distribution.ppt] || 8.2 || p. 430 #1, 2, 3, 4, 6, 7 Challenge: 10, 11 || [] ** Statistics ** Introduction to the Normal Distribution Normal Distribution Problems: Empirical Rule Normal Distribution Problems: Z-score [|Lesson 6 Normal Sampling.ppt] || 8.3 || p. 439 #1, 2, 3 Challenge #9 and 10 || [] ** Statistics ** Normal Distribution Problems: Z-score || [|Lesson 7 Normal Approximation to the Binomial.ppt] [|Normal Approximation Investigation.doc] || 8.4 || p. 449 #1, 2, 3, 4, 6, 7, 10, 13 || Youtube - fully worked solution <span style="background-clip: initial; background-origin: initial; background-position: 100% 50%; font-family: Chalkboard; margin-bottom: 0cm; padding-right: 10px;">[] || ** [|Unit 3 Continuous Distributions Solutions.pdf] ** ** Note: Thinking / Inquiry #2, the question should read: class 2 has a deviation of 10 ** || TI 83 Emulator <span style="background-clip: initial; background-origin: initial; background-position: 100% 50%; padding-right: 10px;">[] || ** MDM4U Unit 2: Probability Distributions ** **Probability Distributions Practice Test** **[|MDM4U Unit 2 Test Fall 2010.doc]﻿﻿** [|MDM4U Unit 2 Practice Test Solutions.pdf] **Additional Practice Problems:** [|MDM4U Probability Review.pdf] 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 **Unit 2 Project: Games Fair, due date Friday April 15** **[|MDM4U Games fair project.doc]** [] || 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 || ** MDM4U Unit 1: Probability and Counting ** Practice Test: [|MDM4U Unit 1 Test Fall 2010.doc] [|MDM4U Unit 1 Practice Test Solutions.pdf] Even MORE review questions: [|MDM4U Unit 1 Review.pdf] - 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 [|MDM4U Storybook Assignment.doc] [|Storybook part 2.pdf] 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 [] ||
 * Course Review** Unit 1: Counting [|MDM4U Unit 1 Review.pdf] Unit 2: Probability Distributions [|MDM4U Probability Review.pdf] Unit 3: Continuous Distributions [|MDM4U Normal Distribution Review.pdf] 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.)
 * Date Complete || Lesson Title || Section / handout || Homework || Website for video clip solutions ||
 * || Confidence Intervals || 8.6 || p. 465 #5 and 6 || Explanation of confidence interval use with mean (note: this is slightly different than the confidence interval with proportions / probabilities done in the homework)
 * || Hypothesis Test (or, "Is this so unlikely that it should not have happened?") || 8.5 || p. 457 #4, 6 || Read example 2 on p. 455
 * || How well do you know the world and your school? || <span style="cursor: pointer; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">[|Hans Rosling Intro How Much Do You Know About the World.doc] ||  || Gapminder, Hans Rosling and “No More Boring Data. Eh?”
 * || 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
 * Date Complete || Lesson Title || Section / handout || Homework || Websites ||
 * || Measures of Centre and Spread (mean, median, mode, standard deviation and variance)
 * || Continuous Probability Distributions
 * || Properties of the Normal Distribution
 * Normal CDF on a graphing calculator **
 * <span style="background-clip: initial; background-origin: initial; background-position: 100% 50%; font-family: Chalkboard; margin-bottom: 0cm; padding-right: 10px;">[] ** ||
 * || Normal Sampling and Modelling
 * || 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 || [|MDM4U Unit 3 Practice test.doc]
 * Lesson Title || Section / handout || Homework || Website for video clip solutions ||
 * 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
 * Unit 1 Test, March 10, 2011**
 * Project 1, due March 8, 2011:**
 * Example of counting story:**
 * 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