Math Tools Lesson: Math of Motion Ideas Underlying Calculus

Lesson Plan: Math of Motion Ideas Underlying Calculus - Elementary

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http://www.simcalc.net/package/p4index.html (opens a new window)

Description:

The software used with these lessons will typically be used in one of three modes: (1) Classroom Discussion-Demo using an overhead display and software configured either by parameter-setting html documents or manually for classroom demonstration and discussion; (2) Students working activities based on the printed activity sheets, where the activity sheets specify the appropriate software activity to use (which will supply its appropriate configurations); and (3) Students engaged in online Challenge Activities based on software-generated challenges-usually, but not necessarily within a curriculum sequence.

Unit 1, Part A: Introducing Velocity, Area, Position And Slope: Section 1.1: Introducing Velocity vs. Time Graphs and Areas; Section 1.2: A Second Way to Describe and Control the Motion-Using Position vs. Time Graphs; Section 1.3: Position vs. Time Graphs as a Continuous Record of Positions Time
Unit 2, Part A: The Two-Way Velocity-Position Connection: Section 2.1: Describing and Controlling Motion in Two Different Ways; Section 2.2: Making Things Happen with Position and Velocity Functions; Section 2.3: Getting to the Same Place at the Same Time: The Motion Idea of Average; Section 2.4: Extending the Idea of Average Velocity to Non-Motion Averages
Unit 3, Part B: Using Marks And Step-Time To Understand How Velocity Relates Changes In Position To Changes In Time: Section 3.1: Relating Marks, Step-Time, and Velocity for Constant Velocity Situations; Section 3.2: Extending Understanding of Motion and Velocity to Non-Motion Based Rates; Section 3.3: Relating Changes in Step-Time, Changes in Step-Distance, and Changes in Velocity; Section 3.4: More Extensions to Non-Motion Rate Situations-Units and Equations; Section 3.5: Relating Changes in Step-Time, Changes in Step-Distance, and Changes in Velocity-For Variable Velocities