The following are the current texts and their table of contents for MS 090 Conceptual Mathematics, MS 095 PreAlgebra, and MS 098 Transition to Algebra. One might note that the contents for the MS 095 Carson text are the same as the proposed MS 090 outline contents. This issue of redundant coverage between the proposed MS 090 outline and the extant MS 095 outline is documented in a triple-column side-by-side synchronized study of the developmental math outlines.
Following the table are links to related texts at the Addison-Wesley site and links to topic areas at the Houghton Mifflin site.
Finally, there is material on a text that would span the current outlines of MS 095 and MS 098. The first nine chapters are the current MS 095 outline, the second nine chapters are the MS 098 outline. There was a time in the mid-1990s when we used a common text for two sequential developmental math courses, but then the text went out of print. This text would open up this possibility again.
Such a text could be used in the "option two" desynchronized option I outlined earlier today. In this second scenario, an elementary/secondary school text such as Saxon or Glencoe would continue to serve MS 090, which would intake only the weakest of the weak students. The "mode" for placement would be MS 095 and the Bittinger/Ellenbogen text. MS 090 would be limited to a max of 20 students per section, while MS 095 and MS 098 would run at a 30 student per section limit. Students coming out of MS 090 would probably be primarily placed into MS 095, but the top students might be moved into MS 098 directly.
Under "Option two" the MS 090 student learning outcomes would have to be adjusted in some way to make it clear that the level of the course was below that of MS 095.
For reference the original 1997 MS 090 outline remains on line, as does the extant MS 098 outline and the newly approved MS 100 outline.
MS 090 | MS 095 | MS098 |
Saxon does not provide an on line table of contents that I could find to cut and paste into this table
Saxon Math 8/7 with Pre-Algebra
Saxon Math 8/7 builds on arithmetic calculation, measurements, basic geometry and other foundational concepts and skills. Saxon Math 8/7 also includes extensive prealgebra exercises, preparing the student for upper-level mathematics.
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Note: Each ends with a Summary, Review Exercises, and a Chapter Test. Starting with Chapter 2, each chapter also ends with a Cumulative Review.
Chapter 1. Whole Numbers Introduction to Numbers, Notation, and Rounding Adding, Subtracting, and Solving Equations with Whole Numbers Multiplying Whole Numbers and Exponents Dividing, Square Roots, and Solving Equations with Whole Numbers Order of Operations Variables, Formulas, and Solving Equations More with Problem Solving and Applications Chapter 2. Integers Introduction to Integers Adding Integers Subtracting Integers and Solving Equations Multiplying, Dividing, and Solving Equations with Integers Order of Operations Applications and Problem Solving Chapter 3. Expressions and Polynomials Evaluating Expressions Introduction to Polynomials Simplifying Polynomials Adding and Subtracting Polynomials Multiplying Polynomials Prime Numbers and GCF Introduction to Factoring Applications and Problem Solving Chapter 4. Equations Equations and Their Solutions The Addition/Subtraction Principle of Equality The Multiplication/Division Principle of Equality Translating Word Sentences to Equations Applications and Problem Solving Chapter 5. Fractions and Rational Expressions Fractions, Mixed Numbers, and Rational Expressions Simplifying Fractions and Rational Expressions Multiplying Fractions, Mixed Numbers, and Rational Expressions Dividing Fractions, Mixed Numbers, and Rational Expressions Least Common Multiple Adding and Subtracting Fractions, Mixed Numbers, and Rational Expressions. Order of Operations and Evaluating and Simplifying Expressions Solving Equations Chapter 6. Decimals Decimals and Rational Numbers Adding and Subtracting with Decimals and Solving Equations Multiplying Decimal Numbers; Exponents with Decimal Bases Dividing and Roots with Decimals Order of Operations and Applications in Geometry Solving Equations and Problem Solving Chapter 7. Ratios, Proportions, and Measurement Ratios, Probability, and Rates Proportions American Measurement Metric Measurement Converting Between the American and Metric Systems Applications and Problem Solving Chapter 8. Percents Introduction to Percent Translating Percent Sentences Word-for-Word Translating Percent Sentences to Proportions Solving Percent Problems (Portions) Solving Problems Involving Percent of Increase or Decrease Solving Problems Involving Interest Chapter 9. Statistics and Graphs Mean, Median, and Mode Tables, Charts, and Graphs The Rectangular Coordinate System Graphing Linear Equations Applications with Graphing Appendix: Answers to Odd-Numbered Exercises, All Review Exercises, and All Practice Test Problems Glossary Index
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ContentsNote: Each chapter begins with a Prep Test and concludes with a Summary, Review Exercises, and Test. Chapters 2-6 are followed by Cumulative Review Exercises.
1. Prealgebra Review Section 1.1 Introduction to Integers Section 1.2 Addition and Subtraction of Integers Section 1.3 Multiplication and Division of Integers Section 1.4 Exponents and the Order of Operations Agreement Section 1.5 Factoring Numbers and Prime Factorization Section 1.6 Addition and Subtraction of Rational Numbers Section 1.7 Multiplication and Division of Rational Numbers Section 1.8 Concepts from Geometry Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: The +/- Key on a Calculator
2. Variable Expressions Section 2.1 Evaluating Variable Expressions Section 2.2 Simplifying Variable Expressions Section 2.3 Translating Verbal Expressions into Variable Expressions Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Prime and Composite Numbers
3. Solving Equations Section 3.1 Introduction to Equations Section 3.2 General Equations--Part I Section 3.3 General Equations--Part II Section 3.4 Translating Sentences into Equations Section 3.5 Geometry Problems Section 3.6 Mixture and Uniform Motion Problems Focus on Problem Solving: Trial-and-Error Approach to Problem Solving Projects and Group Activities: Nielsen Ratings
4. Polynomials Section 4.1 Addition and Subtraction of Polynomials Section 4.2 Multiplication of Monomials Section 4.3 Multiplication of Polynomials Section 4.4 Integer Exponents and Scientific Notation Section 4.5 Division of Polynomials Focus on Problem Solving: Dimensional Analysis Projects and Group Activities: Diagramming the Square of a Binomial
5. Factoring Section 5.1 Common Factors Section 5.2 Factoring Polynomials of the Form x2 + bx + c Section 5.3 Factoring Polynomials of the Form ax2 + bx + c Section 5.4 Special Factoring Section 5.5 Solving Equations Focus on Problem Solving: Making a Table Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator
6. Rational Expressions Section 6.1 Multiplication and Division of Rational Expressions Section 6.2 Expressing Fractions in Terms of the Least Common Multiple (LCM) Section 6.3 Addition and Subtraction of Rational Expressions Section 6.4 Complex Fractions Section 6.5 Solving Equations Containing Fractions Section 6.6 Ratio and Proportion Section 6.7 Literal Equations Section 6.8 Application Problems Focus on Problem Solving: Negations and If. . .then Sentences Projects and Group Activities: Intensity of Illumination
7. Linear Equations in Two Variables Section 7.1 The Rectangular Coordinate System Section 7.2 Linear Equations in Two Variables Section 7.3 Intercepts and Slopes of Straight Lines Section 7.4 Equations of Straight Lines Focus on Problem Solving: Counterexamples Projects and Group Activities: Graphing Linear Equations with a Graphing Utility
8. Systems of Linear Equations Section 8.1 Solving Systems of Linear Equations by Graphing Section 8.2 Solving Systems of Linear Equations by the Substitution Method Section 8.3 Solving Systems of Equations by the Addition Method Section 8.4 Application Problems in Two Variables Focus on Problem Solving: Using a Table and Searching for a Pattern Projects and Group Activities: Finding a Pattern
9. Inequalities Section 9.1 Sets Section 9.2 The Addition and Multiplication Properties of Inequalities Section 9.3 General Inequalities Section 9.4 Graphing Linear Inequalities Focus on Problem Solving: Graphing Data Projects and Group Activities: Mean and Standard Deviation
10. Radical Expressions Section 10.1 Introduction to Radical Expressions Section 10.2 Addition and Subtraction of Radical Expressions Section 10.3 Multiplication and Division of Radical Expressions Section 10.4 Solving Equations Containing Radical Expressions Focus on Problem Solving: Deductive Reasoning Projects and Group Activities: Distance to the Horizon
11. Quadratic Equations Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots Section 11.2 Solving Quadratic Equations by Completing the Square Section 11.3 Solving Quadratic Equations By Using the Quadratic Formula Section 11.4 Graphing Quadratic Equations in Two Variables Section 11.5 Application Problems Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques Projects and Group Activities: Graphical Solutions of Quadratic Equations
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Note: Saxon Publishers must have recently been purchased by Harcourt Achieve as the Saxonpublishers.com web site is now redirected to the Harcourt Achieve web site.
Related Addison-Wesley texts
Prealgebra 2e by Carson © 2006
ISBN:
0-321-23736-6
Prealgebra 3e by Lial/Hestwood © 2006 ISBN:
0-321-26662-5
Integrated Arithmetic and Basic Algebra, 3e by Jordan/Palow © 2005 ISBN:
0-321-13226-2
Houghton Mifflin categories
Basic Mathematics
Prealgebra
Beginning Algebra
Intermediate Algebra
Algebra for College Students
College Algebra
College Algebra and Trigonometry
In option one MS 090 is PreAlgebra, in option two MS 090 is a small section size mathematics course that ranges from arithmetic to algebra in a series of spirals from concrete models to abstract algebraic systems. Under option two MS 090 is "desequenced," students are then placed into the appropriate course in the "regular developmental curriculum."
Option One | Option Two |
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MS 095 Elementary Algebra I MS 098 Elementary Algebra II |
MS 095 PreAlgebra MS 098 Transition to Algebra |
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Elementary and Intermediate Algebra
Tom Carson, Midlands Technical College
Ellyn Gillespie, Midlands Technical College
Bill E. Jordan, Seminole Community College
ISBN: 0-201-72962-8
Publisher: Addison-Wesley
Copyright: 2005
Format: Cloth; 1272 pp
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Prealgebra and Introductory Algebra
Marvin L. Bittinger, Indiana University Purdue University Indianapolis David J. Ellenbogen, Community College of Vermont
ISBN: 0-321-22745-X
Publisher: Addison-Wesley
Copyright: 2004
Format: Paper; 1400 pp
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Description
Elementary and Intermediate Algebra is a book for the student. The authors' goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental students often have never developed nor applied a study system in mathematics. To address these needs, the authors have framed three goals for Elementary and Intermediate Algebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm.
The authors' writing style is extremely student friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the "monkey-see, monkey-do" approach that some books take.
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Description
Prealgebra and Introductory Algebra, 1e is a new offering from a trusted author team and publisher. This text covers all of the core material that is typically found in both a Prealgebra and an Introductory Algebra course, all in one textbook. And, as you have come to expect when you see the Bittinger name, Prealgebra and Introductory Algebra, 1e offers you and your students the Bittinger hallmark five-step problem-solving process, a clear easy-to-read writing style, real-data applications, and exceptional design and artwork to make learning interesting and fun.
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Table of Contents
1. Foundations of Algebra.
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.
5. Polynomials.
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.
Greatest Common Factor and Factoring by Grouping.
Factoring Trinomials of the Form x² + bx + c.
Factoring Trinomials of the Form ax² + bx + c, where a ≠ 1.
Factoring Special Products.
Strategies for Factoring.
Solving Quadratic Equations by Factoring.
Graphs 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.
Applications with Rational Expressions.
8. More on Inequalities, Absolute Value, and Functions.
Compound Inequalities.
Equations Involving Absolute Value.
Inequalities Involving Absolute Value.
Functions and Graphing.
Function Operations.
9. Systems of Equations.
Solving Systems of Linear Equations Graphically.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
Solving Systems of Linear Equations in Three Variables.
Solving Systems of Linear Equations Using Matrices.
Cramer's Rule.
Solving Systems of Linear Inequalities.
10. Rational Exponents, Radicals, and Complex Numbers.
Radical Expressions and Functions.
Rational Exponents.
Multiplying, Dividing, and Simplifying Radicals.
Adding, Subtracting, and Multiplying Radical Expressions.
Rationalizing Numerators and Denominators of Radical Expressions.
Radical Equations and Problem Solving.
Complex Numbers.
11. Quadratic Equations.
Completing the Square.
Solving Quadratic Equations Using the Quadratic Formula.
Solving Equations That Are Quadratic in Form.
Graphing Quadratic Functions.
Solving Nonlinear Inequalities.
12. Exponential and Logarithmic Functions.
Composite and Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Properties of Logarithms.
Common and Natural Logarithms.
Exponential and Logarithmic Equations with Applications.
13. Conic Sections.
The Parabola and the Circle.
Ellipses and Hyperbolas.
Nonlinear Systems of Equations.
Nonlinear Inequalities and Systems of Inequalities.
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Table of Contents
(All chapters begin with a Pretest and end with a Summary and Review, Chapter Test, and, with the exception of Chapter 1, a Cumulative Review).
1. Operations on the Whole Numbers. Standard Notation. Addition. Subtraction. Rounding and Estimating; Order. Multiplication and Area. Division. Solving equations. Applications and Problem Solving. Exponential Notation and Order of Operations. 2. Introduction to Integers and Algebraic Expressions. Integers and Number Line. Addition of Integers. Subtraction of Integers. Multiplication of Integers. Division of Integers. Introduction to Algebra and Expressions. Like Terms and Perimeter. Solving Equations. 3. Fractional Notation: Multiplication and Division. Multiples and Divisibility. Factorizations. Fractions and Fraction Notation. Multiplication of Fractions. Simplifying. Multiplying, Simplifying, and More with Area. Reciprocals and Division. Solving Equations: The Multiplication Principle. 4. Fractional Notation: Addition and Subtraction. Least Common Multiples. Addition, Order, and Applications. Solving Equations: Using the Principles Together. Mixed Numerals. Addition and Subtraction of Mixed Numerals; Applications. 5. Decimal Notation. Decimal Notation. Addition and Subtraction of Decimals. Multiplication of Decimals. Division of Decimals. More with Fraction Notation and Decimal Notation. Estimating. Solving Equations. Applications and Problem Solving. 6. Percent Notation. Ratio and Proportion. Percent Notation. Percent and Fraction Notation. Solving Percent Problems Using Percent Equations. Solving Percent Problems Using Proportions. Applications of Percent. Sales Tax, Commission, Discount, and Interest. Interest Rates on Credit Cards and Loans. 7. Data, Graphs, and Statistics. Averages, Medians, and Modes. Tables and Pictographs. Bar Graphs and Line Graphs. Circle Graphs. 8. Geometry. Basic Geometric Figures. Perimeter. Area. Circles. Volume and Surface Area. Relationships Between Angle Measures. Congruent Triangles and Properties of Parallelograms. Similar Triangles. 9. Real Numbers and Algebraic Expressions. Introduction to Algebra. The Real Numbers. Addition of Real Numbers. Subtraction of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Properties of Real Numbers. Simplifying Expressions; Order of Operations. 10. Solving Equations and Inequalities. Solving Equations: The Addition Principle. Solving Equations: The Multiplication Principle. Using the Principles Together. Formulas. Applications of Percent. Applications and Problem Solving. Solving Inequalities. Applications and Problem Solving with Inequalities. 11. Graphs of Linear Equations. Graphs and Applications. Graphing Linear Equations. More with Graphing and Intercepts. Slope and Applications. 12. Polynomials: Operations. Integers as Exponents. Exponents and Scientific Notation. Introduction to Polynomials. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Special Products. Operations with Polynomials in Several Variables. Division of Polynomials. 13. Polynomials: Factoring. Introduction to Factoring. Factoring Trinomials of the Type x² + bx + c. Factoring ax² + bx + c: The FOIL Method. Factoring ax² + bx + c: The ac-Method. Factoring Trinomial Squares and Differences of Squares. Factoring: A General Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. 14. Rational Expressions and Equations. Multiplying and Simplifying Rational Expressions. Division and Reciprocals. Least Common Multiples and Denominators. Adding Rational Expressions. Subtracting Rational Expressions. Solving Rational Equations. Applications Using Rational Equations and Proportions. Complex Rational Expressions. 15. Graphs, Slope, and Applications. The Slope-Intercept Equation. Graphing Using the Slope and the y-Intercept. Parallel and Perpendicular Lines. Graphing Inequalities in Two Variables. Direct and Inverse Variation. 16. Systems of Equations. Systems of Equations in Two Variables. The Substitution Method. The Elimination Method. Applications and Problem Solving. Applications with Motion. 17. Radical Expressions and Equations. Introduction to Radical Expressions. Multiplying and Simplifying with Radical Expressions. Quotients Involving Radical Expressions. Addition, Subtraction, and More Multiplication. Radical Equations. Applications with Right Triangles. 18. Quadratic Equations. Introduction to Quadratic Equations. Solving Quadratic Equations by Completing the Square. The Quadratic Formula. Formulas. Applications and Problem Solving. Graphs of Quadratic Equations. Functions.
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