The NEW title, Pathways to College Mathematics, is designed to prepare students for any mathematics pathway curriculum course. It offers a general survey of mathematics and a flexible, accelerated path to future studies in Liberal Arts Math, Quantitative Reasoning, Introductory Statistics, or STEM.
It streamlines introductory level algebra content and introduces students to other fields of math, including geometry, consumer mathematics, logic, probability, and statistics.
Table of Contents
Chapter 0: Strategies for Academic Success
0.1 How
to Read a Math Textbook
0.2
Tips for Success in a Math Course
0.3
Tips for Improving Math Test Scores
0.4
Practice, Patience, and Persistence!
0.5
Note Taking
0.6 Do I
Need a Math Tutor?
0.7
Tips for Improving Your Memory
0.8
Overcoming Anxiety
0.9
Online Resources
0.10
Preparing for a Final Math Exam
0.11
Managing Your Time Effectively
Chapter R: Review of Foundational Math Skills
R.1
Exponents, Prime Numbers, and LCM
R.2
Fractions (Multiplication and Division)
R.3
Fractions (Addition and Subtraction)
R.4
Decimal Numbers
R.5 Bar
Graphs, Pictographs, Circle Graphs, and Line Graphs
Chapter
Review
Chapter 1: Algebraic Pathways: Real Numbers and Algebraic Expressions
1.1 The
Real Number Line and Absolute Value
1.2
Operations with Real Numbers
1.3
Problem Solving with Real Numbers
1.4
Square Roots and Order of Operations with Real Numbers
1.5
Properties of Real Numbers
1.6
Simplifying and Evaluating Algebraic Expressions
1.7
Translating English Phrases and Algebraic Expressions
Chapter
Review
Chapter 2: Algebraic Pathways: Linear Equations and Inequalities
2.1
Solving One-Step Linear Equations
2.2
Solving Multi-Step Linear Equations
2.3
Working with Formulas
2.4
Applications of Linear Equations
2.5
Ratios, Rates, and Proportions
2.6
Modeling using Variation
2.7
Solving Linear Inequalities in One Variable
Chapter
Review
Chapter 3: Algebraic Pathways: Graphing Linear Equations and Inequalities
3.1 The
Cartesian Coordinate System, Scatter Plots, and Linear Equations
3.2
Slope-Intercept Form
3.3
Point-Slope Form
3.4
Introduction to Functions and Function Notation
3.5
Linear Correlation and Regression
3.6
Systems of Linear Equations in Two Variables
3.7
Graphing Linear Inequalities in Two Variables
Chapter
Review
Chapter 4: Algebraic Pathways: Exponents and Polynomials
4.1
Exponents
4.2
Scientific Notation
4.3
Modeling with Exponential Functions
4.4
Addition and Subtraction with Polynomials
4.5
Multiplication with Polynomials
Chapter
Review
Chapter 5: Algebraic Pathways: Factoring and Solving Quadratic Equations
5.1 GCF
and an Introduction to Factoring Polynomials
5.2
Factoring Trinomials
5.3
Special Factoring Techniques and General Guidelines for Factoring
5.4
Solving Quadratic Equations by Factoring
5.5
Operations with Radicals
5.6
Solving Quadratic Equations by the Square Root Property and the Quadratic
Formula
Chapter 8: Pathways to Critical Thinking: Sets and Logic
8.1
Introduction to Sets
8.2 Venn
Diagrams and Operations with Sets
8.3
Inductive and Deductive Reasoning
8.4
Logic Statements, Negations, and Quantified Statements
8.5
Compound Statements and Connectives
8.6
Truth Tables
Chapter
Review
Chapter 9: Statistical Pathways: Introduction to Probability
9.1
Introduction to Probability
9.2 The
Addition Rules of Probability and Odds
9.3 The
Multiplication Rules of Probability and Conditional Probability
9.4 The
Fundamental Counting Principle and Permutations
9.5
Combinations
9.6
Using Counting Methods to Find Probability
Chapter
Review
Chapter 10: Statistical Pathways: Introduction to Statistics
10.1
Collecting Data
10.2
Organizing and Displaying Data
10.3
Measures of Center
10.4
Measures of Dispersion and Percentiles
10.5 The
Normal Distribution
Chapter
Review
Chapter A: Appendix
A.1
Matrices and Basic Matrix Operations
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