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MDM 4U LESSON OUTLINE |
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UNIT: STATISTICS |
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By the end of this course, students will: |
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-demonstrate an understanding of standard techniques for collecting data
-analyze data involving one variable, using a variety of techniques
-solve problems involving the normal distribution
-describe the relationship between two variables by interpreting the correlation coefficient
-evaluate the validity of statistics drawn from a variety of sources |
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HOMEWORK |
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ASSESSMENTS |
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DATE |
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LESSON OUTLINE |
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February |
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CHAPTER TWO: ONE-VARIABLE STATISTICS |
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Introduction to course
Discussion on the Power of Data |
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6 |
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Course Handout |
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mcgrawhill study tips |
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ASK DR MATH WEB SITE - extra help |
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Pg. 117 #2,4,8 |
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7 |
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2.3 Types of Sampling and Bias in Sampling |
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Pg. 124 #5,6 |
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8 |
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Indices |
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Pg. 109 #3,8,14 |
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Power of Data Assignment |
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9 |
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2.1 Methods of Representing Data |
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Pg 124 #5
Pg 109 #14 |
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Pg. 101 #2,8 |
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10 |
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Frequency Distribution Table and Histograms |
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2.5 1-Variable Statistics, Measures of Central Tendency for grouped and ungrouped data |
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13 |
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Data Assignment |
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14 |
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2.6 Measures of Dispersion |
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2.6 Standard Deviation |
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Pg. 148 #1,6,7 |
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MEASURES OF DISPERSION |
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STATISTICS TERMINOLOGY |
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The Normal Bell Curve, Z scores and quartiles |
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Pg. 148 #8,10 |
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15 |
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16 |
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NO BUSES - CLASS CANCELLED |
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CHAPTER 3: TWO-VARIABLE STATISTICS |
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17 |
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Two variable statistics - scatter Plots |
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20 |
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QUIZ |
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Statistic on the Graphing Calculator |
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21 |
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3.1,3.2 Linear Correlation and Correlation Coefficient |
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3.3 Linear and Non-Linear Regression on Calculator-handout |
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22 |
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Pg. 184# 1-3 |
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23 |
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Computer Lab - raw data Excel Spreadsheets |
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Assignment - survey
1-variable statistics |
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Computer Lab - one variable statistics on Fathom software |
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24 |
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27 |
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Linear and Non-Linear Regression on Computer
using Excel and Fathom |
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Pg. 180 #8
Pg. 192 #6 |
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ASSIGNMENT |
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Study Master Chapter 2 |
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Regressions using Excel and Fathom |
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28 |
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ASSIGNMENT |
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March |
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1 |
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Introduction to Statistics Canada, data from ESTAT |
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2 |
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Statistics Canada, data from ESTAT |
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3 |
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Statistics Project |
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ESTAT-investigation, Activities on Beer Consumption Demographics |
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6 |
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Pg. 199 #1,2,4-6,8,11 |
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7 |
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3.4 Cause & Effect Relationships |
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Pg.201 #11 |
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Cause and Effect Handout |
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Computer Investigations, complete assignments |
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8 |
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QUIZ |
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3.5 Critical analysis |
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9 |
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MARCH BREAK - ENJOY !! |
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Study Master - Statistics Chapter 3 |
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INTEGRATION OF THE TECHNIQUES OF DATA MANAGEMENT |
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By the end of this course, students will: |
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-carry out a culminating project on a topic or issue of significance that reqwuires the integration and application of the expectations of the course,
-present a project to an audience and critique the projects of others |
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Culminating Project Resources |
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Student Tips for Projects |
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Statistics Canada |
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Additional Stats Canada resources |
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UNIT: COMBINATORICS |
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By the end of this course, students will: |
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-solve counting problems and clearly communicate the results,
-determine and interpret theoretical probabilities, using combinatorial techniques,
-design and carry out simulations to estimate probabilities |
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PERMUTATION/COMBINATION/PASCAL'S TRIANGLE TUTORIAL |
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CHAPTER 4: PERMUTATIONS AND ORGANIZED COUNTING |
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Pg. 229 # 3,4,5,8,10,13,
17,19,21 |
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4.1 Introduction of Organized Counting, tree diagrams, Fundamental Principle of Counting |
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21 |
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4.2 Permutations, indirect method, introduce formula |
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Pg. 239 # 2,4,6,9,10, 14,18,20 |
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Pg. 229 #21 |
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22 |
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Pg. 239 #20 |
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23 |
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Permutation Application, Statistics Review |
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24 |
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STATISTICS TEST |
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Test |
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29 |
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4.3 Permutations with some Items Identical |
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Pg. 245 #2,4,6,8,9,11,12,13 |
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30 |
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Pg. 260 #1-10 |
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Application of Permutation Problems |
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4.4 Pascal's Triangle |
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31 |
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Pg. 251 #2,3,4,10,11 |
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April |
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1 |
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4.4 Pascal's Triangle Applications |
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Quiz |
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Pg. 256 #2,3,4,6,14 |
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4 |
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Permutation assignment |
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Pg. 256 #14 |
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PASCAL'S TRIANGLE |
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Chapter 4 Permutation Review |
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CHAPTER 5: COMBINATIONS AND THE BINOMIAL THEOREM |
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quiz |
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Pg. 270 #2,4,9 |
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5 |
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5.1 Sets and Venn Diagrams |
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5.2 Introduction to Combinations |
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Pg. 279 #3,4,6,7,9,11 |
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6 |
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BASIC SET THEORY-tutorial |
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Application of Combinations |
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7 |
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Pg. 280 #12,13,14,18,19 |
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Permutations and Combinations with Repetition |
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8 |
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Pg. 246 #14 |
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ASSIGNMENT |
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5.3 Problem Solving with Combinations |
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Pg. 286 #5,6,7,8,11,12 |
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11 |
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Pg. 246 #14 |
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COMBINATION PROBLEMS |
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Assignment |
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Quiz |
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12 |
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Combination Problems |
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Pg. 286 #2,3,9,10,13,15,16,20 |
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13 |
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Handout |
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Permutations and Combination mix |
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Permutations and Combinations Mix
5.4 Introduce Binomial theorem |
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14 |
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Pg. 294 #11,13 |
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Pg. 287 #20 |
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15 |
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Binomial Theorem |
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BINOMIAL THEOREM question |
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TEST-Combinatorics |
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18 |
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Test |
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UNIT: MATRICES |
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By the end of this course, students will: |
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-organize data to facilitate manipulation and retrieval,
-solve problems involving complex relationships, with the aid of diagrams,
-model situations and solve problems involving large amounts of information, using matrices |
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CHAPTER 1: MATRICES |
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19 |
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1.6 Introduce Matrices, operations |
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Pg. 60 #7,8,12,13 |
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20 |
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1.7 Application of matrices |
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Handout-networks
Pg. 75 #1,5,8 |
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6.1, 6.2 Introduction to Probability and Sample Space |
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21 |
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Pg. 312 #5,6,7,8
Pg. 324 #5,6,8,9,10,13 |
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6.3 Types of Sample Space-Tree Diagrams, Charts and Combinations, Odds |
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22 |
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Pg. 318 #4,10,11,12
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6.4 Independent Events |
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25 |
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Pg. 334 #4,6 |
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6.4 Dependent And Independent Events
Conditional Probability |
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Pg. 334 #9,10 |
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26 |
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6.5 Mutually Exclusive or Non-mutually Exclusive |
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27 |
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Pg. 340 #3,4,5,6,12 |
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Quiz |
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6.5 Mutually Exclusive or Non-mutually Exclusive |
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28 |
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Pg. 340 #12 |
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Probability Applications |
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29 |
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May |
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CLASSIC PROBLEMS |
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2 |
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6.6 Matrices and Probability-Markov Chains |
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Pg. 353 #3,6,8,9 |
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Quiz |
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3 |
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6.6 Matrices and Probability-Markov Chains |
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Probability Applications |
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4 |
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Handout |
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5 |
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Review |
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6 |
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TEST- PROBABILITY |
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test |
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7.1 Introduction to Probability Distributions
Expected Value |
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9 |
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Pg. 374 #8,10,12,16 |
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10 |
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7.2 Uniform Distributions & Binomial Distributions |
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Pg. 385 #4,6,8,10,12,13 |
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Pg. 374 #16 |
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11 |
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Binomial Distributions |
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12 |
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Pg. 404 #6,8,10,12 |
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7.4 Hypergeometric Distributions |
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Pg. 385 #13 |
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Pg.395 #6,8,10,12 |
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13 |
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7.3 Geometric Distributions, Combination of Questions |
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Assignment |
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Handout |
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16 |
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Computer Lab |
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Quiz |
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17 |
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8.1 Introduce Normal Distribution and Bell Curve
Review for test |
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Pg. 430 #2,4,6,8,10 |
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8.2, 8.3 The Normal Distribution - Application |
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18 |
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Pg. 439 #8 |
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8.4 The Normal Approximation to the Binomial Distribution |
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19 |
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Pg. 449 #4,6,8,10 |
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Assignment |
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20 |
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Test |
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Test- Probability & Probability Distributions |
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Sampling Means and Standard Deviations of Sampling Distribution of Means |
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Pg. 457 #4 |
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24 |
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8.5 Hypothesis Testing and Confidence Intervals |
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Pg. 457 #6,12
Pg. 465 #4,6,10,18 |
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25 |
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Hypothesis Testing and Confidence Intervals |
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26 |
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Hypothesis Testing and Confidence Intervals |
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27 |
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ASSIGNMENT |
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Test-Normal Distribution |
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30 |
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June |
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1 |
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Culminating Project Presentations |
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17 |
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Culminating Test |
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