Foundations of Mathematics for Virginia

by D. Franklin Wright

Foundations of Mathematics for Virginia is customized to fit the developmental mathematics curriculum created by the Virginia Community College System. It provides topics covered in all nine units and focuses on building math competency skills so that students are prepared for college-level math courses and those that depend on a foundation of mathematical understanding.

Formats: Software, Textbook, Guided Notebook, Workbook

Product ISBN
Courseware 978‑1‑941552‑64‑3
Courseware + Textbook 978-1-946158-29-1
Courseware + Guided Notebook 978-1-941552-88-9
Courseware + Workbook 978-1-941552-65-0
Textbook 978-1-946158-23-9
Guided Notebook 978-1-941552-89-6
Workbook 978-1-941552-65-0

Table of Contents

  1. Unit 0: Operations with Whole Numbers
    1. 0.1 Reading and Writing Whole Numbers
    2. 0.2 Addition and Subtraction with Whole Numbers
    3. 0.3 Multiplication with Whole Numbers
    4. 0.4 Division with Whole Numbers
    5. 0.5 Rounding and Estimating with Whole Numbers
    6. 0.6 Exponents and Order of Operations
    7. 0.7 Problem Solving with Whole Numbers
  2. Unit 1: Operations with Fractions
    1. 1.1 Exponents, Prime Numbers, and LCM
    2. 1.2 Introduction to Fractions and Mixed Numbers
    3. 1.3 Ratios and Rates
    4. 1.4 Multiplication and Division with Fractions and Mixed Numbers
    5. 1.5 Addition and Subtraction with Fractions
    6. 1.6 Addition and Subtraction with Mixed Numbers
    7. 1.7 Order of Operations with Fractions and Mixed Numbers
  3. Unit 2: Operations with Decimals and Percents
    1. 2.1 Introduction to Decimal Numbers
    2. 2.2 Addition and Subtraction with Decimal Numbers
    3. 2.3 Multiplication with Decimal Numbers
    4. 2.4 Division with Decimal Numbers
    5. 2.5 Decimal Numbers and Fractions
    6. 2.6 Decimal Numbers and Percents
    7. 2.7 Fractions and Percents
    8. 2.8 Solving Percent Problems Using the Equation R · B = A
    9. 2.9 Applications: Discount, Sales Tax, Commission, and Percent Increase/Decrease
    10. 2.10 Applications: Simple Interest
    11. 2.11 U.S. Measurements
    12. 2.12 The Metric System
    13. 2.13 U.S. to Metric Conversions
    14. 2.14 Reading Graphs
  4. Unit 3: Algebra Basics
    1. 3.1 The Real Number Line and Absolute Value
    2. 3.2 Exponents
    3. 3.3 Square Roots
    4. 3.4 Addition with Real Numbers
    5. 3.5 Subtraction with Real Numbers
    6. 3.6 Multiplication and Division with Real Numbers
    7. 3.7 Order of Operations with Real Numbers
    8. 3.8 Properties of Real Numbers
    9. 3.9 Scientific Notation
    10. 3.10 Simplifying and Evaluating Algebraic Expressions
    11. 3.11 Solving Linear Equations: x + b = c and ax = c
    12. 3.12 Solving Proportions
    13. 3.13 Perimeter
    14. 3.14 Area
    15. 3.15 Circles
    16. 3.16 Volume
  5. Unit 4: First Degree Equations and Inequalities in One Variable
    1. 4.1 Translating English Phrases and Algebraic Expressions
    2. 4.2 Solving Linear Equations: x + b = c and ax = c
    3. 4.3 Solving Linear Equations: ax + b = c
    4. 4.4 Solving Linear Equations: ax + b = cx + d
    5. 4.5 Working With Formulas
    6. 4.6 Applications: Number Problems and Consecutive Integers
    7. 4.7 Applications: Distance-Rate-Time, Interest, Average
    8. 4.8 Solving Absolute Value Equations
    9. 4.9 Linear Inequalities
  6. Unit 5: Linear Equations, Inequalities, and Systems of Linear Equations in Two Variables
    1. 5.1 The Cartesian Coordinate System
    2. 5.2 Graphing Linear Equations in Two Variables
    3. 5.3 The Slope-Intercept Form
    4. 5.4 The Point-Slope Form
    5. 5.5 Graphing Linear Inequalities in Two Variables
    6. 5.6 Introduction to Functions and Function Notation
    7. 5.7 Systems of Linear Equations: Solutions of Graphing
    8. 5.8 Systems of Linear Equations: Solutions by Substitution
    9. 5.9 Systems of Linear Equations: Solutions by Addition
    10. 5.10 Applications: Distance-Rate-Time, Number Problems, Amounts, and Costs
    11. 5.11 Applications: Interest and Mixture
  7. Unit 6: Exponents, Factoring, and Polynomial Equations
    1. 6.1 Exponents
    2. 6.2 Exponents and Scientific Notation
    3. 6.3 Introduction to Polynomials
    4. 6.4 Addition and Subtraction with Polynomials
    5. 6.5 Multiplication with Polynomials
    6. 6.6 Special Products of Binomials
    7. 6.7 Division by a Monomial
    8. 6.8 Greatest Common Factor and Factoring by Group
    9. 6.9 Factoring Trinomials with Leading Coefficient 1
    10. 6.10 Factoring Trinomials with Leading Coefficient Not 1
    11. 6.11 Special Factoring Techniques
    12. 6.12 Additional Factoring Practice
    13. 6.13 Solving Quadratic Equations by Factoring
    14. 6.14 Applications of Quadratic Equations
  8. Unit 7: Rational Expressions and Equations
    1. 7.1 Multiplication and Division with Rational Expressions
    2. 7.2 Addition and Subtraction with Rational Expressions
    3. 7.3 Complex Fractions
    4. 7.4 Division with Polynomials
    5. 7.5 Solving Equations with Rational Expressions
    6. 7.6 Applications: Rational Expressions
  9. Unit 8: Roots, Radicals, and Complex Numbers
    1. 8.1 Evaluating Radicals
    2. 8.2 Simplifying Radicals
    3. 8.3 Rational Exponents
    4. 8.4 Addition, Subtraction, and Multiplication with Radicals
    5. 8.5 Rationalizing Denominators
    6. 8.6 Equations with Radicals
    7. 8.7 Complex Numbers
    8. 8.8 Applications: Radicals
  10. Unit 9: Functions, Quadratic Equations, and Parabolas
    1. 9.1 Functions and Function Notation
    2. 9.2 Functions with Radicals
    3. 9.3 Solving Quadratic Equations
    4. 9.4 The Quadratic Formula
    5. 9.5 Applications: Quadratic Equations
    6. 9.6 Quadratic Functions