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Mr. Garrison MDM4U Spring 2011
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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.)
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
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)
http://www.khanacademy.org/video/confidenceinterval1?playlist=Statistics
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
Good explanation of hypothesis testing
http://www.khanacademy.org/video/hypothesistestingandpvalues?playlist=Statistics
How well do you know the world and your school?
Hans Rosling Intro How Much Do You Know About the World.doc
Gapminder, Hans Rosling and “No More Boring Data. Eh?”
http://www.youtube.com/watch?v=hVimVzgtD6w
Sampling Techniques
2.3
p. 117 1, 2, 3, 4, 5, 7, 8, 9, 12
Visual Explanation of Sampling Techniques
http://www.youtube.com/watch?v=rASK8PpqakM
Explanation of Sampling Techniques using M&Ms (mmm)
http://www.youtube.com/watch?v=wHgI6TolySw&NR=1
Bias and Biased Questioning
2.4
p. 123 1, 2, 3, 4, 6, 8
How to ask unbiased and fair questions
http://www.youtube.com/watch?v=0IuNNDffdsM
Types of Data and Analysis of these types
Handout
Lesson 3 Types of Data and Survey Creation.doc
Lesson 5 MDM4U Fathom Introduction.doc
Handout
Correlation
3.1
p. 169 1, 2, 3, 4, 5, 6, 10
Challenge: 12
Strength of Correlations
http://www.youtube.com/watch?v=Ypgo4qUBt5o
Linear Regression
3.2
p. 171 1, 2, 3, 4, 5, 6, 7, 11
How to perform linear regression on TI 83
http://www.youtube.com/watch?v=z7mlHg0tavk
Great interactive website for exploring linear regression
http://standards.nctm.org/document/eexamples/chap7/7.4/index.htm#applet
NonLinear 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)
http://www.youtube.com/watch?v=UNonyq1yhiE
Critical Analysis of Data
3.5
1, 2, 3, 4, 5, 8, 10
Gapminder, Hans Rosling and “No More Boring Data. Eh?”
http://www.youtube.com/watch?v=hVimVzgtD6w
Online Data Collection Exercises and Project Preparation
Statistics Canada Investigations
http://www.statcan.gc.ca/estat/guide/guideeng.htm
MDM4U Unit 3: Continuous Probability Distributions
Date Complete
Lesson Title
Section / handout
Homework
Websites
Measures of Centre and Spread (mean, median, mode, standard deviation and variance)
Lesson 2 Measures of Spread and Centre.ppt
2.5 and 2.6
p. 133 #1, 2, 3, 4, 9, 16
http://www.khanacademy.org/
Statistics
The average, Sample vs. Population Mean, Sample Variance, Standard Deviation
Continuous Probability Distributions
Lesson 1 Continuous and Discrete Probability Distributions.ppt
7.1 and 8.1
p. 371 #1 and p. 419 #1, 2, 3ab, 6
Properties of the Normal Distribution
Lesson 3 Types of Distribution.ppt
Lesson 4 The Normal Distribution.ppt
Lesson 5 ZScores and Normal Distribution.ppt
8.2
p. 430 #1, 2, 3, 4, 6, 7
Challenge: 10, 11
http://www.khanacademy.org/
Statistics
Introduction to the Normal Distribution
Normal Distribution Problems: Empirical Rule
Normal Distribution Problems: Zscore
Normal CDF on a graphing calculator
http://www.youtube.com/watch?v=9dRUtmmnYIo
Normal Sampling and Modelling
Lesson 6 Normal Sampling.ppt
8.3
p. 439 #1, 2, 3
Challenge #9 and 10
http://www.khanacademy.org/
Statistics
Normal Distribution Problems: Zscore
Normal Approximation to the Binomial
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
http://www.youtube.com/watch?v=WAJvCL77oXo
Extension:
Confidence Intervals
8.6
p. 465 #5, 6
See above recommended video clips
Unit 3 Test
7.1, 2.52.6, 8.18.4
MDM4U Unit 3 Practice test.doc
Unit 3 Continuous Distributions Solutions.pdf
Note: Thinking / Inquiry #2, the question should read: class 2 has a deviation of 10
TI 83 Emulator
http://education.ti.com/calculators/downloads/US/Software/Detail?id=177#
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
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
http://www.youtube.com/watch?v=DAjVAEDil_Q
Probability Distributions
7.1
p. 374 #2, 5, 18a, 19
Challenge: 15
Binomial Probability Distribution
7.2
p. 385 #1, 2, 3, 5, 6bc, 7ab, 8ab, 15, 17
Challenge: 10, 11
Two examples of a binomial Probability:
http://www.youtube.com/watch?v=xNLQuuvE9ug
http://www.khanacademy.org/video/binomialdistribution1?playlist=Statistics
Geometric Probability Distribution
7.3
p. 394 #1, 2, 3, 4, 7, 10, 13
Challenge: 18
Geometric Probability
http://www.youtube.com/watch?v=INvbj5LKZKc
Hypergeometric Probability Distributions
7.4
p. 404 #1, 2, 3, 4, 7, 8, 10, 11, 12
Challenge: 9
Hypergeometric Probability
http://www.youtube.com/watch?v=pkk7hjmgVos
MDM4U Unit 1: Probability and Counting
Unit 1 Test, March 10, 2011
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
Project 1, due March 8, 2011:
MDM4U Storybook Assignment.doc
Example of counting story:
Storybook part 2.pdf
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
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
Counting with Venn Diagrams
5.1
p. 270 #1, 2, 3, 4, 7
Challenge: 10a
Venn Diagram example
http://www.youtube.com/watch?v=kti6G0Lqfig&feature=related
Fundamental Counting Principle
4.1
p. 229 #1, 6, 7, 8, 9, 10, 12, 13, 20
Challenge: 11
Fundamental Counting Example
http://www.youtube.com/watch?v=md1Ct7yInuQ
Factorials and Permutations
4.2
p. 239 #1, 2, 3, 4, 5, 6, 10
Challenge: 9, 11
Factorials and permutations example
http://www.khanacademy.org/video/permutations?playlist=Probability
Permutations with identical elements
4.3
p. 245 #1, 2, 3, 4, 5, 7, 8
Challenge: 18, 19
Identical Elements
http://www.youtube.com/watch?v=Oi3A1kplSRA
Combinations
5.2
p. 279 #1, 3, 4, 5, 6, 8, 9, 11, 12, 18
Combinations
http://www.khanacademy.org/video/combinations?playlist=Probability
Problem Solving with Combinations
5.3
p. 286 1, 2, 4, 11, 13
Challenge: 9
Combinations and Probability
http://www.khanacademy.org/video/probabilityusingcombinations?playlist=Probability
Probability, odds and Counting
6.1, 6.2, 6.3
p. 310 #1, 2, 4
p. 318 #1, 2, 3, 9
p. 324 #1, 5,
Challenge: p. 318 #6, p. 326 #15
Probability Definitions and basic examples:
http://www.khanacademy.org/video/probabilitypart1?playlist=Probability
Independent and Dependent Probability
6.4
p. 334 #1, 2, 3, 4, 10, 11
Challenge: 14, 18
Independent and Dependent Probabilities
http://www.youtube.com/watch?v=xgoQeRyvw5I
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MDM4U Unit 4: Statistical AnalysisProject Links:MDM4U Survey Statistics Project.docTimeline:Survey questionnaires compiled by May 30thPresentations start on June 9th, 2011MDM4U Presentation Marking Scheme.docData Management Reports, due the week of June 13thMDM4U Statistics report.docElements of a good statistics report.doc
http://www.khanacademy.org/video/confidenceinterval1?playlist=Statistics
Good explanation of hypothesis testing
http://www.khanacademy.org/video/hypothesistestingandpvalues?playlist=Statistics
http://www.youtube.com/watch?v=hVimVzgtD6w
http://www.youtube.com/watch?v=rASK8PpqakM
Explanation of Sampling Techniques using M&Ms (mmm)
http://www.youtube.com/watch?v=wHgI6TolySw&NR=1
http://www.youtube.com/watch?v=0IuNNDffdsM
Lesson 3 Types of Data and Survey Creation.doc
Lesson 5 MDM4U Fathom Introduction.doc
Challenge: 12
http://www.youtube.com/watch?v=Ypgo4qUBt5o
http://www.youtube.com/watch?v=z7mlHg0tavk
Great interactive website for exploring linear regression
http://standards.nctm.org/document/eexamples/chap7/7.4/index.htm#applet
http://www.youtube.com/watch?v=UNonyq1yhiE
http://www.youtube.com/watch?v=hVimVzgtD6w
http://www.statcan.gc.ca/estat/guide/guideeng.htm
MDM4U Unit 3: Continuous Probability Distributions
Lesson 2 Measures of Spread and Centre.ppt
Statistics
The average, Sample vs. Population Mean, Sample Variance, Standard Deviation
Lesson 1 Continuous and Discrete Probability Distributions.ppt
Lesson 3 Types of Distribution.ppt
Lesson 4 The Normal Distribution.ppt
Lesson 5 ZScores and Normal Distribution.ppt
Challenge: 10, 11
Statistics
Introduction to the Normal Distribution
Normal Distribution Problems: Empirical Rule
Normal Distribution Problems: Zscore
Normal CDF on a graphing calculator
http://www.youtube.com/watch?v=9dRUtmmnYIo
Lesson 6 Normal Sampling.ppt
Challenge #9 and 10
Statistics
Normal Distribution Problems: Zscore
Lesson 7 Normal Approximation to the Binomial.ppt
Normal Approximation Investigation.doc
http://www.youtube.com/watch?v=WAJvCL77oXo
Unit 3 Continuous Distributions Solutions.pdf
Note: Thinking / Inquiry #2, the question should read: class 2 has a deviation of 10
http://education.ti.com/calculators/downloads/US/Software/Detail?id=177#
Additional Practice Problems:MDM4U Probability Review.pdfAlthough 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
http://www.youtube.com/watch?v=DAjVAEDil_Q
Challenge: 15
Challenge: 10, 11
http://www.youtube.com/watch?v=xNLQuuvE9ug
http://www.khanacademy.org/video/binomialdistribution1?playlist=Statistics
Challenge: 18
http://www.youtube.com/watch?v=INvbj5LKZKc
Challenge: 9
http://www.youtube.com/watch?v=pkk7hjmgVos
MDM4U Unit 1: Probability and Counting
Unit 1 Test, March 10, 2011
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
Project 1, due March 8, 2011:
MDM4U Storybook Assignment.doc
Example of counting story:
Storybook part 2.pdf
Challenge: 14
http://www.youtube.com/watch?v=bMB8qDYa8N0
Pascal's Triangle using Micosoft Excel
http://www.youtube.com/watch?v=LUsczE6HkuM
Challenge: 10a
http://www.youtube.com/watch?v=kti6G0Lqfig&feature=related
Challenge: 11
http://www.youtube.com/watch?v=md1Ct7yInuQ
Challenge: 9, 11
http://www.khanacademy.org/video/permutations?playlist=Probability
Challenge: 18, 19
http://www.youtube.com/watch?v=Oi3A1kplSRA
http://www.khanacademy.org/video/combinations?playlist=Probability
Challenge: 9
http://www.khanacademy.org/video/probabilityusingcombinations?playlist=Probability
p. 318 #1, 2, 3, 9
p. 324 #1, 5,
Challenge: p. 318 #6, p. 326 #15
http://www.khanacademy.org/video/probabilitypart1?playlist=Probability
Challenge: 14, 18
http://www.youtube.com/watch?v=xgoQeRyvw5I