11 - 12

 

Class Home

 

For the teacher

 

For the students

Lessons

Plan

 


Topic

Formalizing the relationship between distance and velocity.
What does it mean for distance to be the derivative of velocity?

Materials

Computers with internet access.
CBR/CBL units for every group.

Outline

Part One: Student Presentations

Since we ended up only having enough time for each group to complete two of the stations, each group will spend 5 minutes explaining one of the two worksheets they completed to the other two groups. Make sure you use their presentation to help you complete the one worksheet/station you didn't get to.

Part Two: Experiment

Now we'll hook up a TI-82 to the overhead projector unit and look at one of the plots from the first day of class. We'll take a volunteer up to the front of the room, and that person will move in a way that recreates the plot. Next we'll look at the projection up on the board and work together to draw the derivative.

Then let's have the calculator plot velocity vs. time and see how that relates to the picture of the derivative we have drawn on the board.

How can we use this information to figure out when we will have a postive velocity? Negative? Zero? Can we somehow draw a relationship between velocity and accleration using the same kind of thinking?

Linkage to ISBE Standards

8.C.5 Use polynomial, exponential, logarithmic and trigonometric functions to model situations.

9.C.5b Apply physical models, graphs, coordinate systems, networks and vectors to develop solutions in applied contexts (e.g., bus routing, areas of irregular shapes, describing forces and other physical quantities).