Final Exam Preparation

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 AnalysisProject Links:Statistics Report Marking Scheme
Presentation Marking Scheme
Survey Project
Elements of a good statistics report.doc
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
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

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)
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/guide-eng.htm


MDM4U Unit 3: Continuous Probability Distributions
Use the following document to help you input your reaction time data on Microsoft Excel.

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 Z-Scores 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: Z-score
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: Z-score
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, 2.5-2.6, 8.1-8.4
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 DistributionsProbability Distributions Practice TestMDM4U Unit 2 Test Fall 2010.docMDM4U Unit 2 Practice Test Solutions.pdf


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
Games Fair Project. To be run in class Nov 2nd, and 3rd. Report due on the 9th.MDM4U Games fair project revision 1 Fall 2011.doc



Lesson Title
Section / handout
Homework
Website for video clip solutions
Independent and Dependent Probabilities
6.4
p. 334 #1, 2, 3, 4, 10, 11
Challenge: 14, 18
Independent and Dependent Probabilities
http://www.youtube.com/watch?v=xgoQeRyvw5I
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/binomial-distribution-1?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
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/probability-using-combinations?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/probability--part-1?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

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
MDM4U Storybook Assignment.doc