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© 2014 Pacific Crest
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Table of Contents
Dear Student (Preface)
...................................................................................................... v
CHAPTER 1
Learning to Learn Math
1-1 The Learning Process Methodology
...................................................................... 1
1-2 Applying the Learning Process Methodology
.................................................. 13
1-3 Reading Mathematics
.............................................................................................. 23
1-4 Best Practices for Learning Math
........................................................................... 33
1-5 Number Sense
............................................................................................................ 49
Project Page(s)
........................................................................................................... 59
CHAPTER 2
Key Mathematical Structures
2-1 Modeling Using Set Concepts
................................................................................ 61
2-2 Using Logic
................................................................................................................... 71
2-3 Evaluating a Formula
............................................................................................... 83
2-4 Solving an Equation
. ................................................................................................ 91
2-5 Analyzing a Function
. ............................................................................................ 103
Project Page(s)
..........................................................................................................117
CHAPTER 3
Probability
3-1 Likelihood
. ..................................................................................................................119
3-2 Randomness
............................................................................................................. 127
3-3 Probability Distributions
........................................................................................... 135
3-4 Sampling
.................................................................................................................... 147
Project Page(s)
......................................................................................................... 157
CHAPTER 4
Mathematical Problem Solving
4-1 The Problem Solving Methodology
..................................................................... 159
4-2 Applying the Problem Solving Methodology
................................................... 171
4-3 Interpreting a Word Problem
................................................................................ 181
4-4 Validation
. ................................................................................................................. 192
Project Page(s)
......................................................................................................... 203
CHAPTER 5
Making Data Valuable
5-1 Data Generation
...................................................................................................... 205
5-2 Using Data from Other Sources
. .......................................................................... 215
5-3 Organizing Data
....................................................................................................... 227
5-4 Transforming Data
. ................................................................................................. 237
Project Page(s)
......................................................................................................... 251