MATHEMATICS OF DATA MANAGEMENT, MDM4U

Course Outline

Based on the Revised Curriculum Guideline Issued by the Ministry of Education

of

the Province of Ontario, 2007, ISBN978-1-4249-4699-0

Text Book: Mathematics of Data Management, McGraw-Hill Ryerson, ISBN 0-07-552912-2

Prerequisite: Functions, G11, University Preparation, or Functions and Applications, G11, University/College Preparation

General Instructional Propositions:

l  Refer to the Ministry Guideline for general and specific expectations.

l  The classroom teacher may adjust the assignment problems and may give some more assignment questions from other reference material.

l  The application of the-state-of –art technology, such as graphing calculators, computer software and other digital and electronic devices is fully promoted in the teaching-learning process in order to follow the trend of the twenty-first century technology era. Graphing calculators are allowed and encouraged to use in all the tests and projects as well as in the final exam if quantity availability is adequate. The memory of the calculators must be cleared before the tests and exam.

l  Assignments are checked from time to time according to the classroom teacher’s own plan.

l  Team working is promoted to encourage peer tutoring.

l  Emphases are put on the problem finding and problem solving skills and strategies. Students are encouraged on seeking more than one different methods for solving the same and/or similar typical problems.

l  Culminating projects are designed to serve the purpose of all the expectations especially, the TIPS and Communications.

l  Careers and further studies connections are discussed in class whenever relevant.

l  The Ministry Guideline is at Website: www.edu.gov.on.ca

The Daily Instructional Outline

Day / Content / Assignment
1 / Overview of the course, Ministry Guideline,
Course Description,
Evaluation Policy, and related topics
Review of prerequisite skills / Appendix A P496-507

Note on Assessment: Beside the Chapter Tests there is a Quiz in each chapter. The Quizzes are short and may be in the multiple choice format for diagnostic purposes.

Part A. Counting and Probability, Ministry Guideline, P113-P114

Chapter 4 Permutations and organized Counting

Day / Section / Assignment
2 / 4.0 Chapter Problem and Prerequisite Skills / P224
All questions
4.1 Organized Counting / P229~231
1~6,7,10,13~17,20,22,24,25
3 / 4.2 Factorial and Permutations / P239~240
1~10,13~16,18,19,22,23
4 / 4.3 Permutations with Some Identical Items / P245~246
1~8, 10~15, 16, 18
5 / Problem Solving, Permutations / Extra Practice Questions
6 / Problem Solving, Permutations / Extra Practice Questions
7 / 4.4 Pascal’s Triangle / P251~253
1~8,10~12,14, 16,18
8 / 4.5 Applying Pascal’s Triangle / P256~259
1~8,12,14,15,16
9 / Technology Applications / Work sheet
10 / Chapter Review / P261
All questions in the Chapter Test
11 / Chapter 4 Test

Chapter 5 Combinations and the Binomial Theorem

12 / 5.0 Chapter Problem and Prerequisite Skills / P264
Review of Prerequisite Skills
5.1 Organized Counting with Venn Diagrams / P271~272
1~8,10
13 / 5.2 Combinations / P279~281
1~10,12,14,16,18,19,20
14 / 5.3 Problem solving with combinations / P286~288
Odd number of questions
15 / 5.3 Problem solving with combinations (cont’d) / P286~288
Odd number of questions
Extra practice questions
16 / Technology Applications / Work sheet
17 / Problem solving involving permutations and combinations / Extra practice questions
18 / The Binomial Theorem / P293~295
1~10,12,15,17,20
19 / Chapter Review / P298~299 All questions
20 / Chapter 5 Test

Chapter 6 Introduction to Probability

21 / 6.0 Chapter Problem and Prerequisite Skills / P302~303
Review of Prerequisite Skills
6.1 Basic Probability Concepts / P312~313
1~8,10,12
22 / 6.2 Odds / P318~319
1~10,14
23 / 6.3 Probability Using Counting Techniques / P324~326
1~8, 12,15,16
24 / 6.4 Dependent and Independent Events / P334~335
1~10,12,16
25 / 6.5 Mutually Exclusive Events / P340~343
1~10,14,16
26 / Problem Solving / Extra practice questions
27 / Technology Applications / Work sheet
28 / Chapter Review / P360~361
Chapter test questions
29 / Chapter 6 Test

Project 1 as the summary of Part A: Counting and Probability

Days 30~33

Part B. Probability Distributions, Ministry Guideline, P115~117

Chapter 7 Probability Distributions

34 / 7.0 Chapter Problem and Prerequisite Skills / P368
Review of Prerequisite Skills
7.1 Probability Distributions / P374~377
1~8, 14~17
35 / 7.2 Binomial Distributions / P385~387
1~12
36 / 7.3 Geometric Distributions / P394~396
1~8,10,14,16,17,18
37 / 7.4 Hypergeometric Distributions / P404~405
1~10
38 / Chapter Review / P408~409
Chapter test questions
39 / Chapter 7 Test

Chapter 8 Normal Distribution

40 / 8.0 Chapter Problem and Prerequisite Skills
Mean, median, mode and standard deviation / P412~413
Review of Prerequisite Skills
8.1 Continuous Probability Distributions / P419~421
1~10
41 / 8.2 Properties of the Normal Distribution / P430~431
1~8
42 / 8.3 Normal Sampling and Modelling / P439~441
1~8,12
43 / Normal Probability Plots / P442~444
Computer room practice
44 / 8.4 Normal Approximation to the Binomial Distribution / P449~450
1~8,10,12
45 / Graphing Calculator Practice / Work sheet
46 / Graphing Calculator Practice / Work sheet
47 / 8.5 Repeated Sampling and Hypothesis Testing / P457~458
1~10
48 / 8.6 Conflict Intervals / P464~467
1~8, 10~12
49 / Chapter Review / P472~473
Chapter test questions
50 / Chapter 8 Test

Day 51~54 Review for Midterm Exam

Day 55 Midterm Exam

Part C Organization of Data for Analysis, Ministry Guideline, P118~119

Part D Statistical Analysis, Ministry Guideline, P120~121

Chapter 2 Statistics of One variable

56 / Handout Sheets of Culminating Projects in Statistics / In class discussion of Topics
2.0 Chapter Problem and Prerequisite Skills / P90
Review of Prerequisite Skills
57 / 2.1 Data Analysis with Graphs / P101~103
All
58 / Technology Applications / P101~103 Questions and
Work sheet
59 / 2.2 Indices (self study) / P109~112
1~8, 10,12
60 / 2.3 Sampling Techniques（in class discussion） / P117~118
1~10
61 / 2.4 Bias in Surveys (in class discussion) / P123~124
1~8
62 / 2.5 measure of Central tendency / P133~135
1~10, 12, 14
63 / Technology Applications / Work sheet
64 / Technology Applications / Work sheet
65 / 2.6 Measure of Spread / P148~150
1~7
66 / 2.6 Measure of Spread / P148~150
18~14
67 / Technology Applications / Work sheet
68 / Chapter Review / P154~155
Chapter Test Questions
69 / Chapter 2 Test

Chapter 3 Statistics of Two Variables

70 / 3.0 Chapter Problem and Prerequisite Skills / PP158
Review of Prerequisite Skills
3.1 Scatter Plots and Linear Correlation / P168~170
1~8, 10 ,12, 14
71 / Technology Applications / Work sheet
72 / 3.2 Linear regression / P180~183
1~8
73 / Technology Applications / P180~183
9~14
74 / 3.3 Non-Linear Regression / P192~194
All
75
76
77 / Technology Applications / P192~194
All
78 / 3.4 Cause and Effect / P199~201
1~8, 10, 12
79 / 3.5 Critical Analysis / P209~211
1~8
80 / Computer Software (Fathom, Excel) / For ISP
81 / Computer Software (Fathom, Excel) / For ISP
82 / Computer Software (Fathom, Excel) / For ISP

Part D Culminating Data Management Investigation, Ministry Guideline P122~123

Spare one day in the middle of chapter 3 for guest lecture by the expert invited from Statistics Canada.

The Independent Study Project

The instruction sheets were given to the students on day 34. The progress was checked during the period of studies on Chapters 2, 3, 7, and 8.

Days 83~88 Presentations of ISP

Day 88 and after: Final Review