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| Problem Solving and Critical Thinking | |
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| Inductive and Deductive Reasoning | |
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| Estimation, Graphs, and Mathematical Models | |
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| Problem Solving | |
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| Set Theory | |
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| Basic Set Concepts | |
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| Subsets | |
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| Venn Diagrams and Set Operations | |
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| Set Operations and Venn Diagrams with Three Sets | |
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| Survey Problems | |
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| Logic | |
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| Statements, Negations, and Quantified Statements | |
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| Compound Statements and Connectives | |
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| Truth Tables for Negation, Conjunction, and Disjunction | |
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| Truth Tables for the Conditional and the Biconditional | |
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| Equivalent Statements, Variations of Conditional Statements, and DeMorganrsquo;s Laws | |
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| Arguments and Truth Tables | |
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| Arguments and Euler Diagrams | |
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| Number Representation and Calculation | |
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| Our Hindu-Arabic System and Early Positional Systems | |
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| Number Bases in Positional Systems | |
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| Computation in Positional Systems | |
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| Looking Back at Early Numeration Systems | |
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| Number Theory and the Real Number System | |
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| Number Theory: Prime and Composite Numbers | |
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| The Integers; Order of Operations | |
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| The Rational Numbers | |
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| The Irrational Numbers | |
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| Real Numbers and Their Properties | |
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| Exponents and Scientific Notation | |
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| Arithmetic and Geometric Sequences | |
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| Algebra: Equations and Inequalities | |
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| Algebraic Expressions and Formulas | |
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| Linear Equations in One Variable | |
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| Applications of Linear Equations | |
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| Ratio, Proportion, and Variation | |
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| Linear Inequalities in One Variable | |
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| Quadratic Equations | |
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| Algebra: Graphs, Functions, and Linear Systems | |
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| Graphing and Functions | |
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| Linear Functions and Their Graphs | |
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| Systems of Linear Equations in Two Variables | |
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| Linear Inequalities in Two Variables | |
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| Linear Programming | |
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| Approximating Reality with Nonlinear Models | |
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| Consumer Mathematics and Financial Management | |
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| Percent, Sales Tax, and Income Tax | |
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| Simple Interest | |
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| Compound Interest | |
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| Annuities, Stocks, and Bonds | |
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| Installment Buying | |
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| Amortization and the Cost of Home Ownership | |
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| Measurement | |
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| Measuring Length; The Metric System | |
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| Measuring Area and Volume | |
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| Measuring Weight and Temperature | |
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| Geometry | |
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| Points, Lines, Planes, and Angles | |
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| Triangles | |
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| Polygons, Perimeter, and Tessellations | |
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| Area and Circumstances | |
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| Volume | |
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| Right Triangle Trigonometry | |
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| Beyond Euclidean Geometry | |
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| Counting Methods and Probability Theory | |
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| The Fundamental Counting Principle | |
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| Permutations | |
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| Combinations | |
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| Fundamentals of Probability | |
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| Probability with the Fundamental Counting Principle, Permutations, and Combinations | |
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| Events Involving Not and Or ; Odds | |
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| Events Involving And ; Conditional Probability | |
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| Expected Value | |
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| Statistics | |
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| Sampling, Frequency Distributions, and Graphs | |
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| Measures of Central Tenden | |