PreCalculus

Chapter 5 Limits & Derivatives
Unit 5-1 Unit 5-2 Unit 5-3 Unit 5-4 Unit 5-5
Unit 5-1 The Indeterminate Forms and Limits Agenda
  1. Screencast Review: What is a Limit?
    • How to find a limit graphically
    • How to find a limit analytically
    • How will we use limits?
  2. Indeterminate Forms & Factoring to Find Limits
  3. Desmos Activity
  4. Assignment 5-1: Pg 238 #1-6, 10-14
Unit 5-2 Agenda
  1. Secant Line to Tangent Line Slopes
    • Using the Limit Definition
    • Using the Derivative at a Point Formula
  2. Tangent Line Slopes
  3. Assignment 5-2: Pg 247 #1-4, 9-13, 16
Unit 5-3 The Power Rule Agenda
  1. Using the Power Rule to Differentiate a Polynomial
  2. Assignment 5-3: Pg 253 #1-10
Unit 5-4 Tangent Lines & Local Linearity Agenda
  1. Finding the Equation of a Tangent Line to a Polynomial
  2. Finding the Equation of a Normal Line to a Polynomial
  3. Using the Tangent Line to Approximate Function Values
  4. Assignment 5-4: Part A Pg 260 #1-8 Part B Pg #9-12
Unit 5-5 Rectilinear Motion: Position, Velocity, & Acceleration Agenda
  1. One Dimensional Motion
    • Position or Height of an Object
    • Velocity as the Derivative of Position
    • Acceleration as the Second Derivative of Position
  2. Finding the Speed of an object; the difference between speed and velocity.
  3. Finding the time and position at which an object changes directions
  4. Assignment 5-5: Pg 268 #1-13