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# 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

Product ISBN
Software 978‑1‑941552‑64‑3
Software + Textbook 978‑1‑64277‑019‑3
Software + Guided Notebook 978‑1‑64277‑047‑6

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
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
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