Mathematics

Interpret the structure of expressions, Write expressions in equivalent forms to solve problems: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8. Solve equations and inequalities in one variable, Represent and solve equations and inequalities graphically: Video 1, Video 2, Video 3. Solve systems of equations: Video 1, Video 2. Understand the concept of a function and use function notation: Video 1. Interpret functions that arise in applications in terms of the context, Analyze functions using different representations: Video 1. Analyze functions using different representations, Build a function that models a relationship between two quantities, Build new functions from existing functions: Video 1. Construct and compare linear and exponential models and solve problems, Interpret expressions for functions in terms of the situation they model: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6. Extend the domain of trigonometric functions using the unit circle, Model periodic phenomena with trigonometric functions: Video 1, Video 2. Prove and apply trigonometric identities: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8, Video 9, Video 10, Video 11, Video 12. Perform operations with complex numbers: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7. Represent and model with vector quantities, Perform operations on vectors: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8. Perform operations on matrices, and use matrices in applications: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8, Video 9, Video 10, Video 11, Video 12, Video 13, Video 14, Video 15, Video 16, Video 17, Video 18, Video 19, Video 20, Video 21, Video 22, Video 23. Solve problems with limits: Video 1, Video 2, Video 3, Video 4. Solve basic differentiation problems: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8, Video 9, Video 10, Video 11, Video 12. Solve basic integration problems: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8, Video 9, Video 10, Video 11, Video 12, Video 13, Video 14.

Transformations for 2D and 3D shapes, Understand congruence in terms of transformation, Prove geometric theorems, Understand similarity in terms of similarity transformations, Prove theorems involving similarity: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8, Video 9, Video 10, Video 11, Video 12, Video 13, Video 14, Video 15, Video 16. Define trigonometric ratios: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7. Solve problems involving right triangles, Apply trigonometry to general triangles: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8, Video 9. Understand and apply theorems about circles: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6, Video 7, Video 8, Video 9, Video 10, Video 11, Video 12, Video 13. Translate between the geometric description and the equation for a conic section: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6. Use coordinates to prove simple geometric theorems algebraically: Video 1. Visualize relationships between 2D and 3D objects: Video 1, Video 2.

Summarize, represent, and interpret data on a single variable: Video 1, Video 2, Video 3, Video 4. Summarize, represent, and interpret data on two categorical and quantitative variables: Video 1, Video 2. Interpret linear models: Video 1, Video 2, Video 3, Video 4, Video 5. Understand and evaluate random processes underlying statistical experiments: Video 1, Video 2, Video 3, Video 4, Video 5. Make inferences and justify conclusions from sample surveys: Video 1. Experiments and observational studies: Video 1. Understand independence and conditional probability and use them to interpret data: Video 1, Video 2, Video 3, Video 4, Video 5, Video 6. Use the rules of probability to compute probabilities of compound events in a uniform probability model: Video 1, Video 2, Video 3. Calculate expected values and use them to solve problems: Video 1, Video 2. Use probability to evaluate outcomes of decisions: Video 1, Video 2.