Topic | Task and Related Files | Student Problem-Solving Video |
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Constant Rates of Change | | Student Problem Solving: Pouring Water into a Cylinder |

Graphing Constant Rate of Change | | Student Problem Solving: Cannon Cow! |

Varying Rates of Change | | Student Problem Solving: Pouring Water into an Erlenmeyer Flask |

Graphing Varying Rates of Change | | Student Problem Solving: Filling a Spherical Flask |

Average Rates of Change | | Student Problem Solving: Two Race Cars, Constant Rates, and Average Rates |

Approximating Instantaneous Rates of Change | | Student Problem Solving: The Stationary Baseball |

Continuity | | Student Problem Solving: Continuity |

Differentiability and Local Linearity | | Student Problem Solving: Growth of a Rabbit Population |

Limit Definition of Derivative | | Student Problem Solving: Rate of Absorbing Ibuprofen |

Using the Limit Definition of Derivative | | Student Problem Solving: Using Limits to Compute Derivatives |

Interpreting Derivatives | | Student Problem Solving: Interpreting Derivatives |

Slopes of Secant and Tangent Lines | | Student Problem Solving: The Imprecision of Tangents |

Graphing Derivatives | | Student Problem Solving: Graphing the Speed of a Baseball |

Basic Derivative Rules | | Student Problem Solving: Trying to Use the Limit Definition |

The Product Rule | | Student Problem Solving: Products of Polynomials |

The Quotient Rule | | Student Problem Solving: Derivatives of Quotients |

The Chain Rule | | Student Problem Solving: A Ripple in a Pond |

l'Hopital's Rule | | Student Problem Solving: Evaluating Indeterminate Limits |

Mean Value Theorem | | Student Problem Solving |

Related Rates | | Student Problem Solving |

Implicit Differentiation | | Student Problem Solving: A Complicated Tangent Line |

Introduction to Optimization | | Student Problem Solving: Maximizing Fuel Economy |

Optimization: Algebraic Modeling | | Student Problem Solving: Maximizing an Animal Pen |

Introduction to Riemann Sums | | Student Problem Solving: Dust Accumulation on the Mars Rover |

Riemann Sum Notation | | Student Problem Solving: Writing a Riemann Sum Two Ways |

Definite Integrals | | Student Problem Solving: Mars Rover Using a Formula |

Antiderivatives | | Student Problem Solving: Antiderivatives |

The Fundamental Theorem of Calculus, Part 1 | | Student Problem Solving: Computing Total Accumulation |

The Fundamental Theorem of Calculus, Part 2 | | Student Problem Solving: Cumulative Probability from a Normal Distribution |

U-Substitution | | Student Problem Solving: Evaluating Indefinite Integrals |