﻿ Hawkes Learning | Products | Developmental Mathematics # Developmental Mathematics: Foundations of Math

by D. Franklin Wright

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.

Formats: Software, Textbook, eBook

Product 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
Courseware + Textbook + Guided Notebook 978-1-946158-34-5

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