# Advanced 1

## TABLE OF CONTENTS

Chapter 1 | |

Numerical Expressions and Factors | |

1.1 | Whole Number Operations |

1.2 | Power and Exponents |

1.3 | Order of Operations |

1.4 | Prime Factorization |

1.5 | Greatest Common Factor |

1.6 | Least Common Multiple |

Ext. | Adding and Subtracting Fractions |

Chapter 2 | |

Fractions and Decimals | |

2.1 | Multiplying Fractions |

2.2 | Dividing Fractions |

2.3 | Dividing Mixed Numbers |

2.4 | Adding and Subtracting Decimals |

2.5 | Multiplying Decimals |

2.6 | Dividing Decimals |

Chapter 3 | |

Algebraic Expressions and Properties | |

3.1 | Algebraic Expressions |

3.2 | Writing Expressions |

3.3 | Properties of Addition and Multiplication |

3.4 | The Distributive Property |

Ext. | Factoring Expressions |

Chapter 4 | |

Areas of Polygons | |

4.1 | Areas of Parallelograms |

4.2 | Areas of Triangles |

4.3 | Areas of Trapezoids |

Ext. | Areas of Composite Figures |

4.4 | Polygons in the Coordinate Plane |

Chapter 5 | |

Ratios and Rates | |

5.1 | Ratios |

5.2 | Ratio Tables |

5.3 | Rates |

5.4 | Comparing and Graphing Ratios |

5.5 | Percents |

5.6 | Solving Percent Problems |

5.7 | Converting Measures |

Chapter 6 | |

Integers and the Coordinate Plane | |

6.1 | Integers |

6.2 | Comparing and Ordering Integers |

6.3 | Fractions and Decimals on the Number Line |

6.4 | Absolute Value |

6.5 | The Coordinate Plane |

Ext. | Reflecting Points in the Coordinate Plane |

Chapter 7 | |

Equations and Inequalities | |

7.1 | Writing Equations in One Variable |

7.2 | Solving Equations Using Addition or Substraction |

7.3 | Solving Equations Using Multiplication or Division |

7.4 | Writing Equations in Two Variables |

7.5 | Writing and Graphing Inequalities |

7.6 | Solving Inequalities Using Addition or Subtraction |

7.7 | Solving Inequalities Using Multiplication or Division |

Chapter 8 | |

Surface Area and Volume | |

8.1 | Three-Dimensional Figures |

8.2 | Surface Areas of Prisms |

8.3 | Surface Areas of Pyramids |

8.4 | Volumes of Rectangular Prisms |

Chapter 9 | |

Statistical Measures | |

9.1 | Introduction to Statistics |

9.2 | Mean |

9.3 | Measures of Center |

9.4 | Measures of Variation |

9.4 | Mean Absolute Deviation |

Chapter 10 | |

Data Displays | |

10.1 | Steam-and-Leaf Plots |

10.2 | Histograms |

10.3 | Shapes of Distributions |

Ext. | Choosing Appropriate Measures |

10.4 | Box-and-Whisker Plots |

Chapter 11 | |

Integers | |

11.1 | Integers and Absolute Value |

11.2 | Adding Integers |

11.3 | Subtracting Integers |

11.4 | Multiplying Integers |

11.5 | Dividing Integers |

Chapter 12 | |

Rational Numbers | |

12.1 | Rational Numbers |

12.2 | Adding Rational Numbers |

12.3 | Subtracting Rational Numbers |

12.4 | Multiplying and Dividing Rational Numbers |

Chapter 13 | |

Expressions and Equations | |

13.1 | Algebraic Expressions |

13.2 | Adding and Subtracting Linear Expressions |

Ext. | Factoring Expressions |

13.3 | Solving Equations Using Addition or Subtraction |

13.4 | Solving Equations Using Multiplication or Division |

13.5 | Solving Two-Step Equations |

Chapter 14 | |

Ratios and Proportions | |

14.1 | Ratios and Rates |

14.2 | Proportions |

Ext. | Graphing Proportional Relationships |

14.3 | Writing Proportions |

14.4 | Solving Proportions |

14.5 | Slope |

14.6 | Direct Variation |

Chapter 15 | |

Percents | |

15.1 | Percents and Decimals |

15.2 | Comparing and Ordering Fractions, Decimals, and Percents |

15.3 | The Percent Proportion |

15.4 | The Percent Equation |

15.5 | Percents of Increase and Decrease |

15.6 | Discounts and Markups |

15.7 | Simple Interest |

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