| 1.1.1. | Simplifying Integer Powers | |
| 1.1.2. | Simplifying Negative Exponents | |
| 1.1.3. | Applying Scientific Notation | |
| 1.1.4. | Simplifying Rational Exponents | |
| 1.1.5. | Evaluating Powers | |
| 1.1.6. | Reducing Radical Expressions | |
| 1.1.7. | Rewriting Radical Sums and Binomials | |
| 1.1.8. | Estimating Roots | |
| 1.1.9. | Identifying Characteristics of Powers | |
| 1.1.10. | Solving Exponential Equations |
| 1.2.1. | Finding a Greatest Common Factor | |
| 1.2.2. | Applying Divisibility Conditions | |
| 1.2.3. | Finding a Least Common Multiple | |
| 1.2.4. | Using Remainders | |
| 1.2.5. | Finding a Digit in a Repeating Decimal | |
| 1.2.6. | Comparing Repeating Decimals | |
| 1.2.7. | Using Prime Factorizations | |
| 1.2.8. | Identifying Prime Numbers | |
| 1.2.9. | Determining Parity | |
| 1.2.10. | Identifying Irrational Numbers | |
| 1.2.11. | Using Properties of Consecutive Integers | |
| 1.2.12. | Identifying True Statements About Integers |
| 1.3.1. | Simplifying Expressions With the Imaginary Unit | |
| 1.3.2. | Computing With Complex Numbers | |
| 1.3.3. | Multiplying Complex Numbers | |
| 1.3.4. | Using Complex Conjugates | |
| 1.3.5. | Dividing Complex Numbers |
| 1.4.1. | Combining Matrices | |
| 1.4.2. | Multiplying a Matrix by a Scalar | |
| 1.4.3. | Multiplying Matrices | |
| 1.4.4. | Finding Determinants | |
| 1.4.5. | Modeling With Matrix Products |
| 1.5.1. | Finding Components of a Vector | |
| 1.5.2. | Combining Vectors |
| 2.6.1. | Combining Like Terms | |
| 2.6.2. | Distributing Over Binomials | |
| 2.6.3. | Expanding Products of Binomials | |
| 2.6.4. | Expanding Powers of Binomials | |
| 2.6.5. | Factoring Algebraic Expressions | |
| 2.6.6. | Simplifying by Canceling Factors | |
| 2.6.7. | Evaluating Algebraic Expressions | |
| 2.6.8. | Applying Defined Operations | |
| 2.6.9. | Rewriting Expressions Using Relations |
| 2.7.1. | Solving Linear Equations | |
| 2.7.2. | Working Backward to Find an Unknown | |
| 2.7.3. | Solving Linear Equations With Parentheses | |
| 2.7.4. | Evaluating Expressions After Solving | |
| 2.7.5. | Solving Literal Equations | |
| 2.7.6. | Applying Linear Formulas | |
| 2.7.7. | Identifying Characteristics of Linear Equations |
| 2.8.1. | Solving Linear Inequalities | |
| 2.8.2. | Identifying Consequences of Inequalities | |
| 2.8.3. | Writing Linear Inequalities | |
| 2.8.4. | Finding a Threshold From a Linear Inequality | |
| 2.8.5. | Graphing Linear Inequalities | |
| 2.8.6. | Using Systems of Linear Inequalities |
| 2.9.1. | Solving Linear Systems | |
| 2.9.2. | Solving Systems by Elimination | |
| 2.9.3. | Determining How Many Solutions a System Has | |
| 2.9.4. | Modeling Word Problems With Systems | |
| 2.9.5. | Using a System Solution | |
| 2.9.6. | Solving Three-Variable Systems |
| 2.10.1. | Factoring Quadratic Expressions | |
| 2.10.2. | Using Factors of a Quadratic | |
| 2.10.3. | Solving Perfect Square Equations | |
| 2.10.4. | Solving Quadratic Equations by Factoring | |
| 2.10.5. | Applying the Quadratic Formula | |
| 2.10.6. | Using the Discriminant | |
| 2.10.7. | Applying Vieta's Formulas | |
| 2.10.8. | Modeling With Quadratic Equations |
| 2.11.1. | Expanding Binomial Powers | |
| 2.11.2. | Factoring Polynomials | |
| 2.11.3. | Solving Higher-Degree Equations |
| 2.12.1. | Simplifying Rational Expressions | |
| 2.12.2. | Combining Rational Expressions | |
| 2.12.3. | Identifying Characteristics of Rational Expressions | |
| 2.12.4. | Solving Proportions | |
| 2.12.5. | Solving Rational Equations | |
| 2.12.6. | Solving Square-Root Equations | |
| 2.12.7. | Isolating Variables From Powers | |
| 2.12.8. | Identifying Characteristics of Radical Expressions | |
| 2.12.9. | Identifying Characteristics of Absolute Values | |
| 2.12.10. | Solving Absolute Value Equations | |
| 2.12.11. | Determining Absolute-Value Solution Sets | |
| 2.12.12. | Solving Absolute Value Inequalities |
| 2.13.1. | Writing Rate and Earnings Models | |
| 2.13.2. | Writing Structural Linear Models | |
| 2.13.3. | Writing Quantity and Spending Models | |
| 2.13.4. | Expressing Related Quantities | |
| 2.13.5. | Writing Linear Models From Data | |
| 2.13.6. | Using a Given Algebraic Model | |
| 2.13.7. | Modeling Perimeter Problems | |
| 2.13.8. | Modeling Cost Problems | |
| 2.13.9. | Modeling Related-Quantity Problems | |
| 2.13.10. | Modeling Mixture Problems | |
| 2.13.11. | Equating Linear Models | |
| 2.13.12. | Modeling With Nonlinear Equations |
| 3.14.1. | Evaluating a Function | |
| 3.14.2. | Evaluating a Function in Context | |
| 3.14.3. | Evaluating a Multivariable Function | |
| 3.14.4. | Performing Operations on Functions | |
| 3.14.5. | Evaluating Function Compositions | |
| 3.14.6. | Composing Functions Algebraically | |
| 3.14.7. | Finding an Inverse Function | |
| 3.14.8. | Identifying Characteristics of Functions |
| 3.15.1. | Writing Function Rules From Data | |
| 3.15.2. | Matching Functions to Representations | |
| 3.15.3. | Determining Rates of Change | |
| 3.15.4. | Determining Function Outputs | |
| 3.15.5. | Finding Extreme Values of Quadratics | |
| 3.15.6. | Locating Points on a Parabola | |
| 3.15.7. | Transforming Quadratic Functions |
| 3.16.1. | Evaluating Exponential Functions | |
| 3.16.2. | Constructing Exponential Models | |
| 3.16.3. | Identifying Features of Exponential Functions | |
| 3.16.4. | Solving Exponential Equations | |
| 3.16.5. | Evaluating Logarithms | |
| 3.16.6. | Applying Logarithm Properties | |
| 3.16.7. | Relating Exponential and Logarithmic Forms | |
| 3.16.8. | Solving Logarithmic Equations | |
| 3.16.9. | Identifying Features of Logarithmic Functions |
| 3.17.1. | Determining Domain From an Equation | |
| 3.17.2. | Reading Domain From a Graph | |
| 3.17.3. | Finding Asymptotes of a Rational Function | |
| 3.17.4. | Finding Points and Zeros of a Function | |
| 3.17.5. | Describing Behavior of a Function Graph | |
| 3.17.6. | Determining the Range of a Function | |
| 3.17.7. | Translating Function Graphs Vertically | |
| 3.17.8. | Translating Horizontally and Reflecting Graphs | |
| 3.17.9. | Matching a Graph to an Equation | |
| 3.17.10. | Interpreting Piecewise Graphs |
| 3.18.1. | Working With Arithmetic Sequences | |
| 3.18.2. | Finding a Term of a Geometric Sequence | |
| 3.18.3. | Writing an Explicit Formula for a Sequence | |
| 3.18.4. | Computing Terms of a Recursive Sequence | |
| 3.18.5. | Summing an Arithmetic Series | |
| 3.18.6. | Summing Geometric and Other Series |
| 3.19.1. | Converting Angle Measures | |
| 3.19.2. | Finding Points in Standard Position | |
| 3.19.3. | Using the Pythagorean Identity | |
| 3.19.4. | Finding Cosine From Sine | |
| 3.19.5. | Applying Quotient and Angle Identities | |
| 3.19.6. | Identifying Equivalent Trig Representations | |
| 3.19.7. | Finding Amplitude, Period, and Range | |
| 3.19.8. | Matching and Transforming Trig Graphs | |
| 3.19.9. | Finding Triangle Area Using Sine | |
| 3.19.10. | Using the Law of Sines | |
| 3.19.11. | Using the Law of Cosines | |
| 3.19.12. | Solving Trig Equations and Inequalities |
| 4.20.1. | Finding Lengths on a Line | |
| 4.20.2. | Finding Angles Formed by Intersecting Lines | |
| 4.20.3. | Finding Reflex and Divided Angles | |
| 4.20.4. | Problem-Solving With Intersecting Lines | |
| 4.20.5. | Solving Angle Bisector Problems | |
| 4.20.6. | Finding Angles With Parallel Lines | |
| 4.20.7. | Problem-Solving With Parallel Lines | |
| 4.20.8. | Finding Interior Angles of Triangles | |
| 4.20.9. | Finding Exterior Angles of Triangles | |
| 4.20.10. | Finding Angles in Isosceles Triangles | |
| 4.20.11. | Problem-Solving With Isosceles Triangles | |
| 4.20.12. | Relating Sides to Opposite Angles | |
| 4.20.13. | Applying the Triangle Inequality | |
| 4.20.14. | Classifying Triangles | |
| 4.20.15. | Identifying Angle and Shape Properties | |
| 4.20.16. | Finding Interior Angles of Polygons | |
| 4.20.17. | Finding Angles in Parallelograms | |
| 4.20.18. | Finding Lengths With Parallel Sides | |
| 4.20.19. | Finding Lengths in Regular Polygons |
| 4.21.1. | Translating and Reflecting a Point | |
| 4.21.2. | Applying a Rigid Motion | |
| 4.21.3. | Dilating a Figure | |
| 4.21.4. | Identifying Corresponding Parts Under Congruence | |
| 4.21.5. | Using Corresponding Parts Under Similarity | |
| 4.21.6. | Finding Corresponding Lengths in Similar Figures | |
| 4.21.7. | Using Scale Factors in Similar Figures | |
| 4.21.8. | Finding Lengths Using Parallel Lines | |
| 4.21.9. | Finding Areas of Similar Figures |
| 4.22.1. | Applying the Pythagorean Theorem | |
| 4.22.2. | Modeling Situations Using the Pythagorean Theorem | |
| 4.22.3. | Finding Diagonals and Perimeters With the Pythagorean Theorem | |
| 4.22.4. | Finding Lengths in Figures With the Pythagorean Theorem | |
| 4.22.5. | Finding Altitudes and Areas With the Pythagorean Theorem | |
| 4.22.6. | Checking and Applying Pythagorean Relationships | |
| 4.22.7. | Problem-Solving With Special Triangles | |
| 4.22.8. | Finding Trigonometric Ratios | |
| 4.22.9. | Finding a Trigonometric Ratio From Other Ratios | |
| 4.22.10. | Using Cofunction Relationships | |
| 4.22.11. | Finding a Side From a Trigonometric Ratio | |
| 4.22.12. | Finding a Length From an Angle Measure | |
| 4.22.13. | Writing an Inverse-Trigonometric Expression |
| 4.23.1. | Finding Areas of Composite Rectilinear Figures | |
| 4.23.2. | Finding Areas of Divided Rectangles | |
| 4.23.3. | Finding Perimeters of Figures | |
| 4.23.4. | Using a Given Perimeter | |
| 4.23.5. | Finding Areas of Quadrilaterals | |
| 4.23.6. | Finding Areas of Triangles | |
| 4.23.7. | Finding Shaded Areas With Circles | |
| 4.23.8. | Comparing Areas of Figures | |
| 4.23.9. | Finding Areas of Nested Regions | |
| 4.23.10. | Finding a Length From Area |
| 4.24.1. | Finding Areas Involving Circles | |
| 4.24.2. | Finding the Circumference of a Circle | |
| 4.24.3. | Finding Distance Along a Circle | |
| 4.24.4. | Comparing Areas of Circles | |
| 4.24.5. | Finding Arc Measure | |
| 4.24.6. | Finding Arc Length | |
| 4.24.7. | Finding Angles in Circles | |
| 4.24.8. | Problem-Solving With Circle Lengths |
| 4.25.1. | Finding the Midpoint of a Segment | |
| 4.25.2. | Finding a Point Dividing a Segment | |
| 4.25.3. | Finding the Distance Between Points | |
| 4.25.4. | Finding Slope From Two Points | |
| 4.25.5. | Finding Slope From an Equation | |
| 4.25.6. | Comparing and Reading Slopes | |
| 4.25.7. | Interpreting Slope and Its Changes | |
| 4.25.8. | Using Slopes of Parallel Lines | |
| 4.25.9. | Using Slopes of Perpendicular Lines | |
| 4.25.10. | Writing the Equation of a Line | |
| 4.25.11. | Finding a Point on a Line | |
| 4.25.12. | Writing the Equation of a Circle | |
| 4.25.13. | Problem-Solving With Circles | |
| 4.25.14. | Further Problem-Solving With Circles | |
| 4.25.15. | Finding Area in the Coordinate Plane | |
| 4.25.16. | Placing Figures in the Coordinate Plane | |
| 4.25.17. | Locating Points in the Coordinate Plane |
| 4.26.1. | Finding Volumes of Prisms and Cylinders | |
| 4.26.2. | Finding Volumes of Pyramids, Cones, and Spheres | |
| 4.26.3. | Finding a Dimension From Volume | |
| 4.26.4. | Finding the Surface Area of a Solid | |
| 4.26.5. | Converting Volume in Context | |
| 4.26.6. | Applying Volume Scale Factors | |
| 4.26.7. | Packing Congruent Solids | |
| 4.26.8. | Identifying Features of a Solid |
| 4.27.1. | Writing Ellipse Equations | |
| 4.27.2. | Finding Features of an Ellipse | |
| 4.27.3. | Working With Hyperbolas | |
| 4.27.4. | Analyzing Intersections of Conics |
| 5.28.1. | Finding a Weighted Mean | |
| 5.28.2. | Finding a Median From Frequencies | |
| 5.28.3. | Comparing Measures of Center | |
| 5.28.4. | Finding How a Data Change Affects a Mean | |
| 5.28.5. | Using Means and Sums | |
| 5.28.6. | Determining Effects of Changing Data | |
| 5.28.7. | Finding Unknown Values From Center Measures | |
| 5.28.8. | Comparing Measures of Spread |
| 5.29.1. | Reading Two-Way Tables | |
| 5.29.2. | Reading Category Tables | |
| 5.29.3. | Reading Bar Graphs | |
| 5.29.4. | Working With Circle Graphs | |
| 5.29.5. | Reading Frequency Distributions | |
| 5.29.6. | Reasoning About Data Displays | |
| 5.29.7. | Reading Trend Graphs |
| 5.30.1. | Finding a Simple Probability | |
| 5.30.2. | Solving for a Count Given a Probability | |
| 5.30.3. | Working With Event Relationships | |
| 5.30.4. | Finding a Union With Overlap | |
| 5.30.5. | Finding a Probability From a Two-Way Table | |
| 5.30.6. | Finding a Conditional Probability From a Table | |
| 5.30.7. | Finding a Conditional Probability | |
| 5.30.8. | Applying a Conditional Probability | |
| 5.30.9. | Multiplying Independent Probabilities | |
| 5.30.10. | Finding a Without-Replacement Probability | |
| 5.30.11. | Problem-Solving With Dependent Selections | |
| 5.30.12. | Finding a Probability of an Arrangement | |
| 5.30.13. | Finding a Probability From a Sample Space | |
| 5.30.14. | Finding a Geometric Probability | |
| 5.30.15. | Computing an Expected Value | |
| 5.30.16. | Problem-Solving With Expected Value |
| 5.31.1. | Counting Independent Choices | |
| 5.31.2. | Counting Character Codes | |
| 5.31.3. | Counting Permutations | |
| 5.31.4. | Counting Combinations | |
| 5.31.5. | Counting Overlapping Sets | |
| 5.31.6. | Identifying Possible Set Sizes |
| 5.32.1. | Estimating a Population Mean | |
| 5.32.2. | Estimating a Population From a Sample Proportion | |
| 5.32.3. | Judging Evidence From a Sample | |
| 5.32.4. | Identifying a Model Type | |
| 5.32.5. | Applying the Empirical Rule | |
| 5.32.6. | Fitting a Linear Model to Data | |
| 5.32.7. | Using a Linear Model |
| 6.33.1. | Evaluating Absolute-Value Expressions | |
| 6.33.2. | Evaluating Numeric Expressions | |
| 6.33.3. | Evaluating Factorials and Quotients | |
| 6.33.4. | Comparing Signed Number Changes | |
| 6.33.5. | Computing Integer Amounts in Context | |
| 6.33.6. | Identifying Place Value and Properties | |
| 6.33.7. | Adding Fractions | |
| 6.33.8. | Subtracting Fractions | |
| 6.33.9. | Multiplying Fractions | |
| 6.33.10. | Dividing With Fractions | |
| 6.33.11. | Finding a Midpoint Between Fractions | |
| 6.33.12. | Locating Numbers on a Number Line | |
| 6.33.13. | Ordering Rational Numbers | |
| 6.33.14. | Estimating Square Roots |
| 6.34.1. | Partitioning a Total in a Given Ratio | |
| 6.34.2. | Finding a Whole From a Ratio | |
| 6.34.3. | Composing Chained Ratios | |
| 6.34.4. | Comparing Ratios | |
| 6.34.5. | Applying Proportions | |
| 6.34.6. | Finding a Unit Rate | |
| 6.34.7. | Solving Fuel Mileage Problems | |
| 6.34.8. | Working With a Rate of Change | |
| 6.34.9. | Finding Distance at Constant Speed | |
| 6.34.10. | Finding Position or Travel Time | |
| 6.34.11. | Finding an Average Speed | |
| 6.34.12. | Solving Multi-Leg Speed Problems | |
| 6.34.13. | Combining Rates |
| 6.35.1. | Finding a Percent of a Number | |
| 6.35.2. | Expressing a Ratio as a Percent | |
| 6.35.3. | Finding a Total From a Percent | |
| 6.35.4. | Applying a Percent Change | |
| 6.35.5. | Taking Successive Percents | |
| 6.35.6. | Applying Successive Percent Changes | |
| 6.35.7. | Finding a Percent in a Mixture |
| 6.36.1. | Computing With Mixed Units | |
| 6.36.2. | Converting a Measurement | |
| 6.36.3. | Applying Conversion Factors | |
| 6.36.4. | Converting a Rate |
| 6.37.1. | Computing a Total From Unit Prices | |
| 6.37.2. | Finding a Total From Repeated Amounts | |
| 6.37.3. | Computing a Cost From a Unit Rate | |
| 6.37.4. | Finding a Remaining Amount | |
| 6.37.5. | Comparing Two Totals | |
| 6.37.6. | Finding a Net Cost or Profit | |
| 6.37.7. | Computing Overtime Pay | |
| 6.37.8. | Finding a Unit Amount | |
| 6.37.9. | Finding a Fractional Part of a Whole | |
| 6.37.10. | Applying Successive Fractions | |
| 6.37.11. | Packing Into Whole Groups | |
| 6.37.12. | Finding Counts From Waste and Limits | |
| 6.37.13. | Combining Segments of a Trip | |
| 6.37.14. | Identifying a Necessary Conclusion |
| 6.38.1. | Finding a Mean | |
| 6.38.2. | Finding a Median | |
| 6.38.3. | Finding a Value From a Mean | |
| 6.38.4. | Finding a Difference of Center Measures |
| 6.39.1. | Finding the Area of a Rectangle | |
| 6.39.2. | Finding the Area of a Square | |
| 6.39.3. | Finding the Area of a Triangle | |
| 6.39.4. | Finding a Side From Equal Areas | |
| 6.39.5. | Combining Rectangle Areas | |
| 6.39.6. | Finding a Shaded Fractional Area | |
| 6.39.7. | Finding the Perimeter of a Rectangle | |
| 6.39.8. | Finding the Perimeter of a Square | |
| 6.39.9. | Finding the Volume of a Rectangular Prism | |
| 6.39.10. | Scaling a Rectangular Prism Volume | |
| 6.39.11. | Counting Packed Rectangular Units |
