The Carson Algebra Series guides students to success by presenting the why behind understanding algebra, and includes the complete Carson Math Study System with a Learning Styles Inventory to address individual learning styles. The Carson Math Study System adapts to the way each student learns, and targeted learning strategies are presented throughout the program. The authors speak to students in everyday language and walk them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work to foster conceptual understanding.
Tom Carson’s first teaching experience was teaching guitar while an undergraduate student studying electrical engineering. That experience helped him to realize that his true gift and passion are for teaching. He earned his MAT. in mathematics at the University of South Carolina. In addition to teaching at Midlands Technical College, Columbia State Community College, and Franklin Classical School, Tom has served on the faculty council and has been a board member of the South Carolina Association of Developmental Educators (SCADE). Ever the teacher, Tom teaches outside the classroom by presenting at conferences such as NADE, AMATYC, and ICTCM on topics such as Combating Innumeracy, Writing in Mathematics, and Implementing a Study System.
Bill Jordan received his BS from Rollins College and his MAT from Tulane University. A decorated teacher for more than 40 years, Jordan has served as the chair of the math department at Seminole Community College and has taught at Rollins College. He has been a member and leader of numerous professional organizations, including the Florida Two-Year College Mathematical Association (president), Florida Council of Teachers of Mathematics (district director), and others. In addition to his work on the Carson series, Jordan is also the lead author of Integrated Algebra and Arithmetic, 2/e, also published by Pearson. In his spare time, he enjoys fishing, traveling, and hiking.
Number Sets and the Structure of Algebra. Fractions. Adding and Subtracting Real Numbers; Properties of Real Numbers. Multiplying and Dividing Real Numbers; Properties of Real Numbers. Exponents, Roots, and Order of Operations. Translating Word Phrases to Expressions. Evaluating and Rewriting Expressions.
2. Solving Linear Equations and Inequalities.
Equations, Formulas, and the Problem Solving Process. The Addition Principle. The Multiplication Principle. Applying the Principles to Formulas. Translating Word Sentences to Equations. Solving Linear Inequalities.
3. Problem Solving.
Ratios and Proportions. Percents. Problems with Two or More Unknowns. Rates. Investment and Mixture.
4. Graphing Linear Equations and Inequalities.
The Rectangular Coordinate System. Graphing Linear Equations. Graphing Using Intercepts. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. Introduction to Functions and Function Notation.
Exponents and Scientific Notation. Introduction to Polynomials. Adding and Subtracting Polynomials. Exponent Rules and Multiplying Monomials. Multiplying Polynomials; Special Products. Exponent Rules and Dividing Polynomials.
6. Factoring Polynomials.
Greatest Common Factor and Factoring by Grouping. Factoring Trinomials of the Form ax2 + bx + c when a = 1. Factoring Trinomials of the Form ax2 + bx + c when a Ö 1. Factoring Special Products. Strategies for Factoring. Solving Quadratic Equations by Factoring. Graphing of Quadratic Equations and Functions.
7. Rational Expressions and Equations.
Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions with the Same Denominator. Adding and Subtracting Rational Expressions with Different Denominators. Complex Rational Expressions. Solving Equations Containing Rational Expressions. Further Applications with Rational Expressions (Variation).
8. Systems of Equations.
Solving Systems of Linear Equations Graphically. Solving Systems of Linear Equations by Substitution. Solving Systems of Linear Equations by Elimination. More Applications with Systems of Equations. Solving Systems of Linear Inequalities.
9. Roots and Radicals.
Square Roots and Radical Expressions. Multiplying and Simplifying Square Roots. Dividing and Simplifying Square Roots. Adding and Subtracting Square Roots. Solving Radical Equations. Higher Roots and Rational Exponents.
10. Quadratic Equations.
The Principle of Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations using the Quadratic Formula. Complex Numbers. Graphing Quadratic Equations.