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Problem Solving, Expressions, and Equations | |
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Mathematical Thinking: Problem Solving | |
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Number Sense | |
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Numeric and Symbolic Representations | |
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Problem Solving and Verbal Representations | |
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Visual Representations: Rectangular Coordinate Graphs | |
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Solving Equations with a Table and Graph | |
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Solving Equations and Formulas | |
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Inequalities, Functions, and Linear Functions | |
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Inequalities, Line Graphs, and Intervals | |
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Functions | |
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Linear Functions | |
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Modeling with a Linear Function | |
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Special Lines | |
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Special Functions | |
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Systems of Equations and Inequalities | |
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Solving Systems of Two Linear Equations by Substitution or Elimination | |
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Solving Systems of Two Linear Equations by Graphing | |
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Solving Equations Involving Quantity and Rate | |
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Solving Systems of Three or More Linear Equations | |
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Solving Linear and Absolute Value Inequalities | |
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Quadratic and Polynomial Functions | |
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Quadratic Functions | |
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Modeling Quadratic Functions | |
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Polynomial Functions and Operations | |
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Special Products and Completing the Square | |
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Solving Quadratic Equations with Tables, Graphs, and Factors | |
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The Role of a, b, c, and Binomial Squares in Graphing Quadratic Functions | |
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Square Roots | |
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Quadratic Equations and Inequalities | |
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The Square Root Function and the Pythagorean Theorem | |
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Solving Quadratic Equations with Square Roots | |
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Solving Quadratic Equations with the Quadratic Formula | |
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Solving Minimum and Maximum Problems | |
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Complex Numbers and Solving Polynomial Equations | |
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Shifts, Vertex Form, and Applications of Quadratic Functions | |
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Solving Quadratic Inequalities | |
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Variation and Rational Functions | |
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Ratios, Units of Measure, and Proportions | |
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Direct Variation | |
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Inverse Variation and Related Graphs | |
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Simplification, Multiplication, and Division of Rational Expressions | |
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Division of Polynomials and Related Graphs | |
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Addition and Subtraction of Rational Expressions | |
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Solving Rational Equations | |
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Exponents and Radicals | |
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Exponents and Their Properties | |
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Scientific Notation and Significant Digits | |
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Rational Exponents | |
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Roots and Rational Exponents | |
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More Operations with Radicals | |
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Finding Inverse Functions | |
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Solving Root and Power Equations | |
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Exponential and Logarithmic Functions | |
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Exponential Functions | |
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Exponential Equations and Graphs | |
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Solving Exponential Equations: Logarithms | |
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Applications of Exponential and Logarithmic Functions | |
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Properties of Logarithms and the Logarithmic Scale | |
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The Natural Number e in Exponential and Logarithmic Functions | |
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Systems of Nonlinear Equations and Matrices | |
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Conic Sections | |
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Solving Systems of Nonlinear Equations | |
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Solving Systems of Inequalities | |
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Solving Systems of Linear Equations with Matrices | |
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Counting and Probability (Available Online) | |
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Counting Outcomes | |
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Permutations and Combinations | |
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Probability: Equally Likely Outcomes and Counting Principles | |
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Probability: Odds, Intersecting Events, and Not Equally Likely Outcomes | |
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Pascal's Triangle and Combinations Appendix | |
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Selected Formulas Appendix | |
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Percent Appendix | |
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Graphing Calculator Basics for the TI83/84 | |
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Answers to Selected Odd-Numbered Exercises and Tests | |
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Glossary/Index | |