Learn exponents, radicals, scientific notation, equations, graphs, functions, geometry, transformations, the Pythagorean Theorem, and statistics. Solve real-world problems involving measurement, units, and data.
| 1.1.1. | The Real Number System | |
| 1.1.2. | Classifying Square Roots and Cube Roots as Rational or Irrational | |
| 1.1.3. | Writing Repeating Decimals as Fractions |
| 1.2.1. | Approximating Square Roots and Cube Roots | |
| 1.2.2. | Comparing and Ordering Real Numbers | |
| 1.2.3. | Estimating Expressions With Irrational Numbers |
| 2.3.1. | The Zeroth Power | |
| 2.3.2. | Powers of Negative One | |
| 2.3.3. | Negative Exponents |
| 2.4.1. | Evaluating Expressions With Integer Exponents | |
| 2.4.2. | The Product Rule for Exponents | |
| 2.4.3. | The Quotient Rule for Exponents | |
| 2.4.4. | The Power Rule for Exponents | |
| 2.4.5. | The Power of Product Rule for Exponents | |
| 2.4.6. | The Power of Quotient Rule for Exponents | |
| 2.4.7. | Combining the Rules of Exponents |
| 2.5.1. | Writing Numbers in Scientific Notation | |
| 2.5.2. | Converting Scientific Notation to Standard Notation | |
| 2.5.3. | Comparing Numbers in Scientific Notation |
| 2.6.1. | Addition and Subtraction in Scientific Notation | |
| 2.6.2. | Addition in Scientific Notation With Different Powers of Ten | |
| 2.6.3. | Subtraction in Scientific Notation With Different Powers of Ten | |
| 2.6.4. | Further Addition in Scientific Notation With Different Powers of Ten | |
| 2.6.5. | Multiplying Numbers in Scientific Notation | |
| 2.6.6. | Dividing Numbers in Scientific Notation | |
| 2.6.7. | Estimating and Comparing Real-World Quantities Using Scientific Notation |
| 2.7.1. | Determining Units in Formulas | |
| 2.7.2. | Selecting Units for Rates of Change |
| 3.8.1. | The Square Root of a Perfect Square | |
| 3.8.2. | Squaring a Square Root | |
| 3.8.3. | The Cube Root of a Perfect Cube | |
| 3.8.4. | Surds |
| 3.9.1. | Simplifying Expressions With Surds | |
| 3.9.2. | Evaluating Numerical Expressions Containing Radicals | |
| 3.9.3. | Adding and Subtracting Radicals | |
| 3.9.4. | Rationalizing Denominators |
| 3.10.1. | Radicals as Fractional Exponents | |
| 3.10.2. | The Product Rule for Radicals | |
| 3.10.3. | The Quotient Rule for Radicals |
| 3.11.1. | Solving Equations Using Square Roots | |
| 3.11.2. | Solving Radical Equations With Square Roots | |
| 3.11.3. | Solving Equations Using Cube Roots | |
| 3.11.4. | Solving Radical Equations With Cube Roots | |
| 3.11.5. | Finding Side Lengths of Squares and Cubes From Area or Volume |
| 4.12.1. | Linear Equations With Infinitely Many Solutions | |
| 4.12.2. | Linear Equations With No Solutions | |
| 4.12.3. | Modeling With Linear Equations in Two Variables | |
| 4.12.4. | Modeling Totals Using Two-Variable Linear Equations | |
| 4.12.5. | Analyzing and Interpreting Graphs of Linear Equations |
| 4.13.1. | Graphing Linear Equations | |
| 4.13.2. | Horizontal and Vertical Lines | |
| 4.13.3. | Calculating Slopes of Straight Lines | |
| 4.13.4. | Slope as a Unit Rate in Proportional Relationships | |
| 4.13.5. | Equations of Lines in Slope-Intercept Form | |
| 4.13.6. | Properties of Lines Given in Slope-Intercept Form |
| 4.14.1. | Introduction to Systems of Linear Equations | |
| 4.14.2. | Solving Systems of Equations by Substitution | |
| 4.14.3. | Introduction to the Elimination Method | |
| 4.14.4. | Solving Systems of Linear Equations Using Elimination: One Transformation | |
| 4.14.5. | Solving Systems of Linear Equations Using Elimination: Two Transformations | |
| 4.14.6. | Identifying the Number of Solutions to a System by Inspection | |
| 4.14.7. | Solving Real-World Problems Using Systems of Linear Equations |
| 5.15.1. | Introduction to Functions | |
| 5.15.2. | Visual Representations of Functions | |
| 5.15.3. | Graphs of Functions |
| 5.16.1. | Identifying Where a Function Is Increasing or Decreasing | |
| 5.16.2. | Identifying Maximum and Minimum Values of a Function | |
| 5.16.3. | Describing the Functional Relationship Between Two Quantities From a Graph |
| 5.17.1. | Linear Functions Versus Nonlinear Functions | |
| 5.17.2. | Modeling Real-World Situations With Linear Equations | |
| 5.17.3. | Interpreting Rate of Change and Initial Value in Context | |
| 5.17.4. | Comparing Properties of Two Functions Represented Differently |
| 6.18.1. | Corresponding Angles | |
| 6.18.2. | Alternate Angles | |
| 6.18.3. | Consecutive Angles | |
| 6.18.4. | Angle Criteria for Parallel Lines |
| 6.19.1. | The Sum of Interior Angles of a Triangle | |
| 6.19.2. | Exterior Angles of Triangles | |
| 6.19.3. | Problem Solving With Angles of Triangles | |
| 6.19.4. | Interior Angles of Polygons | |
| 6.19.5. | Exterior Angles of Polygons |
| 6.20.1. | Translations of Geometric Figures | |
| 6.20.2. | Reflections of Geometric Figures in the Coordinate Plane | |
| 6.20.3. | Rotations of Geometric Figures | |
| 6.20.4. | Verifying Properties of Rigid Motions | |
| 6.20.5. | Applying Sequences of Rigid Motions | |
| 6.20.6. | Congruence Through Rigid Motions |
| 6.21.1. | Dilations of Geometric Figures | |
| 6.21.2. | Dilations of Figures in the Coordinate Plane | |
| 6.21.3. | Similar Polygons | |
| 6.21.4. | Calculating Side Lengths and Angles of Similar Polygons | |
| 6.21.5. | Similarity Through Sequences of Transformations | |
| 6.21.6. | The Angle-Angle Criterion for Similar Triangles | |
| 6.21.7. | Using Similar Triangles to Explain Slope | |
| 6.21.8. | Describing a Sequence of Transformations That Maps One Figure Onto Another |
| 7.22.1. | Understanding and Proving the Pythagorean Theorem | |
| 7.22.2. | Applying the Pythagorean Theorem to Find Missing Side Lengths | |
| 7.22.3. | The Converse of the Pythagorean Theorem | |
| 7.22.4. | Solving Real-World Problems Using the Pythagorean Theorem | |
| 7.22.5. | Finding the Distance Between Two Points Using the Pythagorean Theorem | |
| 7.22.6. | The Distance Formula | |
| 7.22.7. | Applying the Pythagorean Theorem to Three-Dimensional Figures |
| 7.23.1. | Volumes of Cylinders | |
| 7.23.2. | Volumes of Cones | |
| 7.23.3. | Volumes of Spheres | |
| 7.23.4. | Solving Real-World Problems Involving Volumes of Cylinders, Cones, and Spheres |
| 8.24.1. | Scatter Plots | |
| 8.24.2. | Describing Patterns of Association in Scatter Plots | |
| 8.24.3. | Trend Lines | |
| 8.24.4. | Informally Assessing the Fit of a Trend Line to a Scatter Plot | |
| 8.24.5. | Making Predictions Using Trend Lines | |
| 8.24.6. | Interpreting Trend Line Coefficients |
| 8.25.1. | Joint Frequency Tables | |
| 8.25.2. | Calculating Relative Frequencies From Two-Way Tables | |
| 8.25.3. | Identifying Patterns of Association From Two-Way Tables |
