Pathways to College Mathematics

by D. Franklin Wright

Pathways to College Mathematics is designed to give non-STEM students an alternate path to Liberal Arts Math or Introductory Statistics. It streamlines the algebra content from a traditional Intermediate Algebra course to the skills that non-STEM students truly need to be successful in their college math courses. It also provides introductions into other fields of math, including geometry, consumer mathematics, logic, probability, and statistics.

Formats: Software, Textbook, Guided Notebook

Table of Contents

  1. Chapter 0: Strategies for Academic Success
    1. 0.1 How to Read a Math Textbook
    2. 0.2 Tips for Success in a Math Course
    3. 0.3 Tips for Improving Math Test Scores
    4. 0.4 Practice, Patience, and Persistence!
    5. 0.5 Note Taking
    6. 0.6 Do I Need a Math Tutor?
    7. 0.7 Tips for Improving Your Memory
    8. 0.8 Overcoming Anxiety
    9. 0.9 Online Resources
    10. 0.10 Preparing for a Final Math Exam
    11. 0.11 Managing Your Time Effectively
  2. Chapter R: Review of Foundational Math Skills
    1. R.1 Exponents, Prime Numbers, and LCM
    2. R.2 Fractions (Multiplication and Division)
    3. R.3 Fractions (Addition and Subtraction)
    4. R.4 Decimal Numbers
    5. R.5 Bar Graphs, Pictographs, Circle Graphs, and Line Graphs
    6. Chapter Review
  3. Chapter 1: Algebraic Pathways: Real Numbers and Algebraic Expressions
    1. 1.1 The Real Number Line and Absolute Value
    2. 1.2 Operations with Real Numbers
    3. 1.3 Problem Solving with Real Numbers
    4. 1.4 Square Roots and Order of Operations with Real Numbers
    5. 1.5 Properties of Real Numbers
    6. 1.6 Simplifying and Evaluating Algebraic Expressions
    7. 1.7 Translating English Phrases and Algebraic Expressions
    8. Chapter Review
  4. Chapter 2: Algebraic Pathways: Linear Equations and Inequalities
    1. 2.1 Solving One-Step Linear Equations
    2. 2.2 Solving Multi-Step Linear Equations
    3. 2.3 Working with Formulas
    4. 2.4 Applications of Linear Equations
    5. 2.5 Ratios, Rates, and Proportions
    6. 2.6 Modeling using Variation
    7. 2.7 Solving Linear Inequalities in One Variable
    8. Chapter Review
  5. Chapter 3: Algebraic Pathways: Graphing Linear Equations and Inequalities
    1. 3.1 The Cartesian Coordinate System, Scatter Plots, and Linear Equations
    2. 3.2 Slope-Intercept Form
    3. 3.3 Point-Slope Form
    4. 3.4 Introduction to Functions and Function Notation
    5. 3.5 Linear Correlation and Regression
    6. 3.6 Systems of Linear Equations in Two Variables
    7. 3.7 Graphing Linear Inequalities in Two Variables
    8. Chapter Review
  6. Chapter 4: Algebraic Pathways: Exponents and Polynomials
    1. 4.1 Exponents
    2. 4.2 Scientific Notation
    3. 4.3 Modeling with Exponential Functions
    4. 4.4 Addition and Subtraction with Polynomials
    5. 4.5 Multiplication with Polynomials
    6. Chapter Review
  7. Chapter 5: Algebraic Pathways: Factoring and Solving Quadratic Equations
    1. 5.1 GCF and an Introduction to Factoring Polynomials
    2. 5.2 Factoring Trinomials
    3. 5.3 Special Factoring Techniques and General Guidelines for Factoring
    4. 5.4 Solving Quadratic Equations by Factoring
    5. 5.5 Operations with Radicals
    6. 5.6 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula
    7. 5.7 Applications of Quadratic Equations
    8. 5.8 Graphing Quadratic Functions
    9. Chapter Review
  8. Chapter 6: Geometric Pathways: Measurement & Geometry
    1. 6.1 US Measurements
    2. 6.2 The Metric System: Length and Area
    3. 6.3 The Metric System: Capacity and Weight
    4. 6.4 US and Metric Equivalents
    5. 6.5 Angles
    6. 6.6 Triangles
    7. 6.7 Perimeter and Area
    8. 6.8 Volume and Surface Area
    9. 6.9 Right Triangle Trigonometry
    10. Chapter Review
  9. Chapter 7: Pathways to Personal Finance
    1. 7.1 Percents
    2. 7.2 Simple and Compound Interest
    3. 7.3 Buying a Car
    4. 7.4 Buying and Owning a House
    5. Chapter Review
  10. Chapter 8: Pathways to Critical Thinking: Sets and Logic
    1. 8.1 Introduction to Sets
    2. 8.2 Venn Diagrams and Operations with Sets
    3. 8.3 Inductive and Deductive Reasoning
    4. 8.4 Logic Statements, Negations, and Quantified Statements
    5. 8.5 Compound Statements and Connectives
    6. 8.6 Truth Tables
    7. Chapter Review
  11. Chapter 9: Statistical Pathways: Introduction to Probability
    1. 9.1 Introduction to Probability
    2. 9.2 The Addition Rules of Probability and Odds
    3. 9.3 The Multiplication Rules of Probability and Conditional Probability
    4. 9.4 The Fundamental Counting Principle and Permutations
    5. 9.5 Combinations
    6. 9.6 Using Counting Methods to Find Probability
    7. Chapter Review
  12. Chapter 10: Statistical Pathways: Introduction to Statistics
    1. 10.1 Collecting Data
    2. 10.2 Organizing and Displaying Data
    3. 10.3 Measures of Center
    4. 10.4 Measures of Dispersion and Percentiles
    5. 10.5 The Normal Distribution
    6. Chapter Review
  13. Chapter A: Appendix
    1. A.1 Matrices and Basic Matrix Operations