1.1.1. | The Zeroth Power | |
1.1.2. | Powers of Negative One | |
1.1.3. | Negative Exponents | |
1.1.4. | Evaluating Rational Number Expressions With Integer Exponents | |
1.1.5. | The Product Rule for Exponents | |
1.1.6. | The Quotient Rule for Exponents | |
1.1.7. | The Power Rule for Exponents | |
1.1.8. | The Power of Product Rule for Exponents | |
1.1.9. | The Power of Quotient Rule for Exponents | |
1.1.10. | Combining the Rules of Exponents |
1.2.1. | The Square Root of a Perfect Square | |
1.2.2. | Squaring a Square Root | |
1.2.3. | The Cube Root of a Perfect Cube | |
1.2.4. | Surds | |
1.2.5. | Simplifying Expressions With Surds | |
1.2.6. | Evaluating Numerical Expressions Containing Radicals | |
1.2.7. | Radicals as Fractional Exponents | |
1.2.8. | The Product Rule for Radicals | |
1.2.9. | The Quotient Rule for Radicals | |
1.2.10. | Rationalizing Denominators |
1.3.1. | The Real Number System | |
1.3.2. | Approximating Irrational Numbers | |
1.3.3. | Writing Repeating Decimals as Fractions |
1.4.1. | Units of Length | |
1.4.2. | Units of Mass | |
1.4.3. | Units of Time | |
1.4.4. | Units of Volume | |
1.4.5. | Units of Area and Volume | |
1.4.6. | Unit Conversions Using Base Units of Mass | |
1.4.7. | Two-Step Unit Conversions | |
1.4.8. | Unit Conversions Using Base Units of Length | |
1.4.9. | Unit Conversions Using Units of Time | |
1.4.10. | Converting Units of Area to Smaller Units | |
1.4.11. | Converting Units of Area to Larger Units | |
1.4.12. | Unit Conversions Using Base Units of Volume |
1.5.1. | Writing Numbers in Scientific Notation | |
1.5.2. | Converting Scientific Notation to Standard Notation | |
1.5.3. | Comparing Numbers Given in Scientific Notation | |
1.5.4. | Addition and Subtraction in Scientific Notation | |
1.5.5. | Addition in Scientific Notation With Different Powers of Ten | |
1.5.6. | Subtraction in Scientific Notation With Different Powers of Ten | |
1.5.7. | Further Addition in Scientific Notation With Different Powers of Ten | |
1.5.8. | Multiplying Numbers in Scientific Notation | |
1.5.9. | Dividing Numbers in Scientific Notation | |
1.5.10. | Applying the Laws of Exponents to Numbers Given in Scientific Notation |
2.6.1. | Solving Equations Using Square Roots | |
2.6.2. | Solving Equations Using Cube Roots | |
2.6.3. | Solving Radical Equations With Square Roots | |
2.6.4. | Solving Radical Equations With Cube Roots |
2.7.1. | The Cartesian Coordinate System | |
2.7.2. | Two-Variable Linear Equations and Their Solutions | |
2.7.3. | Graphing Linear Equations | |
2.7.4. | Horizontal and Vertical Lines | |
2.7.5. | Calculating Slopes of Straight Lines | |
2.7.6. | Equations of Lines in Slope-Intercept Form | |
2.7.7. | Finding Properties of Lines Given in Slope-Intercept Form | |
2.7.8. | Equations of Lines in Point-Slope Form | |
2.7.9. | Equations of Lines in Standard Form | |
2.7.10. | Determining Properties of Lines Given in Standard Form | |
2.7.11. | Parallel Lines in the Coordinate Plane | |
2.7.12. | Finding the Equation of a Parallel Line | |
2.7.13. | Comparing Linear Equations | |
2.7.14. | Modeling With Linear Equations in Two Variables | |
2.7.15. | Further Modeling With Linear Equations in Two Variables |
2.8.1. | Introduction to Systems of Linear Equations | |
2.8.2. | Approximating Solutions to Systems of Linear Equations | |
2.8.3. | Solving Systems of Two Linear Equations Using Substitution | |
2.8.4. | Introduction to the Elimination Method | |
2.8.5. | Solving Systems of Linear Equations Using Elimination: One Transformation | |
2.8.6. | Solving Systems of Linear Equations Using Elimination: Two Transformations | |
2.8.7. | Systems of Linear Equations With Fractional Coefficients | |
2.8.8. | Systems of Linear Equations With Decimal Coefficients | |
2.8.9. | Calculating the Intersection of Two Lines | |
2.8.10. | Systems of Equations With No Solutions and Systems With Infinitely Many Solutions |
2.9.1. | Modeling Number Problems Using Systems of Linear Equations | |
2.9.2. | Modeling Coin Problems Using Systems of Linear Equations |
3.10.1. | Relations | |
3.10.2. | Visual Representations of Functions | |
3.10.3. | Graphs of Functions | |
3.10.4. | Modeling With Trigonometric Functions | |
3.10.5. | Trend Lines | |
3.10.6. | Making Predictions Using Trend Lines | |
3.10.7. | Scatter Plots |
4.11.1. | Congruence of Geometric Figures | |
4.11.2. | Similarity of Geometric Figures | |
4.11.3. | Slopes of Straight Lines in Terms of Similar Triangles | |
4.11.4. | The Angle-Angle Criterion for Similar Triangles | |
4.11.5. | Parallel Lines and Transversals: Identifying Angles | |
4.11.6. | Parallel Lines and Transversals: Finding Angles | |
4.11.7. | Areas of Similar Shapes | |
4.11.8. | Volumes of Similar Solids |
4.12.1. | Translations of Geometric Figures | |
4.12.2. | Rotations of Geometric Figures | |
4.12.3. | Reflections of Geometric Figures | |
4.12.4. | Dilations of Geometric Figures | |
4.12.5. | Combining Transformations of Geometric Figures |
4.13.1. | Interior Angles of Triangles | |
4.13.2. | Exterior Angles of Triangles | |
4.13.3. | Classifying Triangles Based on Sides | |
4.13.4. | Classifying Triangles Based on Angles | |
4.13.5. | Interior Angles of Polygons | |
4.13.6. | Exterior Angles of Polygons |
4.14.1. | The Pythagorean Theorem | |
4.14.2. | Proving the Pythagorean Theorem | |
4.14.3. | The Pythagorean Theorem: Word Problems | |
4.14.4. | The Converse Pythagorean Theorem | |
4.14.5. | The Pythagorean Theorem in Three-Dimensions | |
4.14.6. | The Distance Formula | |
4.14.7. | The Distance Formula in Three-Dimensions |
4.15.1. | Volumes of Cones | |
4.15.2. | Volumes of Cylinders | |
4.15.3. | Volumes of Spheres | |
4.15.4. | Surface Areas of Cylinders | |
4.15.5. | Surface Areas of Spheres | |
4.15.6. | Volumes and Surface Areas of Composite Shapes |
5.16.1. | Circle Diagrams | |
5.16.2. | Stem and Leaf Diagrams | |
5.16.3. | Scatter Plots | |
5.16.4. | Fitting Straight Lines to Scatter Plots | |
5.16.5. | Two-Way Frequency Tables | |
5.16.6. | Two-Way Relative Frequency Tables |