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| Operations on Whole Numbers | |
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| The Decimal Place-Value System | |
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| Addition | |
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| Subtraction | |
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| Rounding, Estimation, and Order | |
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| Multiplication | |
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| Division | |
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| Exponential Notation and the Order of Operations | |
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| Multiplying and Dividing Fractions | |
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| Prime Numbers and Divisibility | |
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| Factoring Whole Numbers | |
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| Fraction Basics | |
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| Simplifying Fractions | |
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| Multiplying Fractions | |
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| Dividing Fractions | |
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| Adding and Subtracting Fractions | |
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| Adding and Subtracting Fractions with Like Denominators | |
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| Common Multiples | |
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| Adding and Subtracting Fractions with Unlike Denominators | |
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| Adding and Subtracting Mixed Numbers | |
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| Order of Operations with Fractions | |
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| Estimation Applications | |
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| Decimals | |
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| Place Value and Rounding | |
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| Converting Between Fractions and Decimals | |
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| Adding and Subtracting Decimals | |
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| Multiplying Decimals | |
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| Dividing Decimals | |
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| Ratios and Proportions | |
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| Ratios | |
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| Rates and Unit Pricing | |
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| Proportions | |
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| Solving Proportions | |
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| Percents | |
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| Writing Percents as Fractions and Decimals | |
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| Writing Decimals and Fractions as Percents | |
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| Identifying the Parts of a Percent Problem | |
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| Solving Percent Problems | |
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| Measurement | |
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| The Units of the English System | |
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| Metric Units of Length | |
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| Metric Units of Weight and Volume | |
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| Converting Between the English and Metric Systems | |
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| Geometry | |
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| Area and Circumference | |
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| Lines and Angles | |
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| Triangles | |
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| Square Roots and the Pythagorean Theorem | |
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| Data Analysis and Statistics | |
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| Means, Medians, and Modes | |
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| Tables, Pictographs, and Bar Graphs | |
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| Line Graphs and Predictions | |
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| Creating Bar Graphs and Pie Charts | |
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| Describing and Summarizing Data Sets | |
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| The Real Number System | |
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| Real Numbers and Order | |
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| Adding Real Numbers | |
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| Subtracting Real Numbers | |
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| Multiplying Real Numbers | |
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| Dividing Real Numbers and the Order of Operations | |
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| An Introduction to Algebra | |
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| From Arithmetic to Algebra | |
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| Evaluating Algebraic Expressions | |
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| Adding and Subtracting Algebraic Expressions | |
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| Using the Addition Property to Solve an Equation | |
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| Using the Multiplication Property to Solve an Equation | |
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| Combining the Properties to Solve Equations | |