Developmental Mathematics:
Foundations of Math

by D. Franklin Wright

ISBN ListTable of Contents

Developmental Mathematics book and software

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Providing a smooth transition between arithmetic and algebra, Developmental Mathematics emphasizes reasoning, problem solving, and connections between arithmetic and algebraic concepts. Each chapter is presented so students receive clear learning objectives, definitions, and examples of practical applications of the material.

Textbooks

Developmental Mathematics by D. Franklin Wright, 1/E textbook

Foundations of Mathematics: A Quantitative Reasoning Approach Workbook

ISBN

Product 13 Digit ISBN
Courseware + eBook* 978-1-941552-35-3
Courseware + eBook* + Developmental Mathematics Textbook 978-1-941552-37-7
Courseware + Foundations of Mathematics Workbook 978-1-938891-57-1
* Included eBook can only be accessed online through the courseware.

Table of Contents

Chapter 1: Whole Numbers
1.1 Reading and Writing Whole Numbers
1.2 Addition and Subtraction with Whole Numbers
1.3 Multiplication with Whole Numbers
1.4 Division with Whole Numbers
1.5 Rounding and Estimating with Whole Numbers
1.6 Exponents and Order of Operations
1.7 Problem Solving with Whole Numbers
1.8 Tests for Divisibility (2, 3, 4, 5, 6, 9, and 10)
1.9 Prime Numbers and Prime Factorizations
Chapter 2: Fractions and Mixed Numbers
2.1 Introduction to Fractions and Mixed Numbers
2.2 Multiplication and Division with Fractions and Mixed Numbers
2.3 Least Common Multiples (LCM)
2.4 Addition and Subtraction with Fractions
2.5 Addition and Subtraction with Mixed Numbers
2.6 Order of Operations with Fractions and Mixed Numbers
Chapter 3: Decimal Numbers
3.1 Introduction to Decimal Numbers
3.2 Addition and Subtraction with Decimal Numbers
3.3 Multiplication with Decimal Numbers
3.4 Division with Decimal Numbers
3.5 Decimal Numbers and Fractions
Chapter 4: Ratios and Proportions, Percent, and Applications
4.1 Ratios and Proportions
4.2 Solving Proportions
4.3 Decimals Numbers and Percents
4.4 Fractions and Percents
4.5 Solving Percent Problems by Using the Proportion: P/100=A/B
4.6 Solving Percent Problems by Using the Proportion: RB=A
4.7 Applications: Discount, Sales Tax, Commission, and Percent Increase/Decrease
4.8 Applications: Profit, Simple Interest, and Compound Interest
Chapter 5: Geometry
5.1 Angles
5.2 Perimeter
5.3 Area
5.4 Circles
5.5 Volume and Surface Area
5.6 Triangles
5.7 Square Roots and the Pythagorean Theorem
Chapter 6: Statistics, Graphs, and Probability
6.1 Statistics: Mean, Median, Mode, and Range
6.2 Reading Graphs
6.3 Constructing Graphs from Databases
6.4 Probability
Chapter 7: Introduction to Algebra
7.1a The Real Number Line
7.1b Introduction to Absolute Value
7.2 Addition with Real Numbers
7.3 Subtraction with Real Numbers
7.4 Multiplication and Division with Real Numbers
7.5 Order of Operations with Real Numbers
7.6 Properties of Real Numbers
7.7a Variable and Algebraic Expressions
7.7b Simplifying Algebraic Expressions
7.7c Evaluating Algebraic Expressions
7.8 Translating English Phrases and Algebraic Expressions
Chapter 8: Solving Linear Equations and Inequalities
8.1a Solving Linear Equations Using Additioin and Subtraction
8.1b Solving Linear Equations Using Multiplication and Division
8.2 Solving Linear Equations: ax+b=c
8.3 Solving Linear Equations: ax+b=cx+d
8.4 Applications: Number Problems and Consecutive Integers
8.5 Working with Formulas
8.6 Applications: Distance-Rate-Time, Interest, Average
8.7 Solving Linear Inequalities
Chapter 9: Linear Equations and Inequalities in Two Variables
9.1 The Cartesian Coordinate System
9.2 Graphing Linear Equations in Two Variables: Ax+By=C
9.3 The Slope-Intercept Form: y=mx+b
9.4a Finding the Equation of a Line
9.4b The Point-Slope Form: y- y1 + m( x - x1)
9.5 Introduction to Functions and Function Notation
9.6 Graphing Linear Inequalities in Two Variables
Chapter 10: Systems of Linear Equations
10.1 Systems of Equations: Solutions by Graphing
10.2 Systems of Equations: Solutions by Substitution
10.3 Systems of Equations: Solutions by Addition
10.4 Applications: Distance-Rate-Time, Number Problems, Amounts, & Costs
10.5 Applications: Interest and Mixture
Chapter 11: Exponents and Polynomials
11.1 Exponents I
11.2a Exponents II and Scientific Notation
11.2b Scientific Notation
11.3 Introduction to Polynomials
11.4 Addition and Subtraction with Polynomials
11.5 Multiplication with Polynomials
11.6a The FOIL Method
11.6b Special Products of Binomials
11.7a Division by a Monomial
11.7b The Division Algorithm
Chapter 12: Factoring Polynomials and Solving Quadratic Equations
12.1a Greatest Common Factor of Two or More Terms
12.1b Greatest Common Factor of a Polynomial
12.1c Factoring Expressions by Grouping
12.2 Factoring Trinomials: x2+bx+c
12.3 Factoring Trinomials: ax2+bx+c
12.4 Special Factoring Techniques
12.5 Additional Factoring Practice
12.6 Solving Quadratic Equations by Factoring
12.7 Applications of Quadratic Equations
Chapter 13: Rational Expressions
13.1a Defining Rational Expressions
13.1b Multiplication and Division with Rational Expressions
13.2 Addition and Subtraction with Rational Expressions
13.3 Complex Fractions
13.4 Solving Equations with Rational Expressions
13.5 Applications
13.6 Variation
Chapter 14: Radicals
14.1 Roots and Radicals
14.2 Simplifying Radicals
14.3 Addition, Subtraction, and Multiplication with Radicals
14.4 Rationalizing Denominators
14.5 Equations with Radicals
14.6 Rational Exponents
14.7 Functions with Radicals
Chapter 15: Quadratic Equations
15.1 Quadratic Equations: The Square Root Method
15.2 Quadratic Equations: Completing the Square
15.3 Quadratic Equations: The Quadratic Formula
15.4 Applications
15.5 Quadratic Functions: y=ax2+bx+c
Appendix
A.1 US Measurements
A.2 The Metric System
A.3 US to Metric Conversions
A.4 Absolute Value Equations and Inequalities
A.5 Synthetic Division and the Remainder Theorem
A.6 Graphing Systems of Linear Inequalities
A.7 Systems of Linear Equations: Three Variables
A.8 Introduction to Complex Numbers
A.9 Multiplication and Division with Complex Numbers