Check out the Lesson Resource page for other Powerpoint, Sketchpad and PDF resources.
A lesson plan designed to use crash test video to teach about math and physics concepts. Math concepts involve linear equations, parametric equations, vectors forming a right triangle, percent difference, piecewise functions, Pythagorean theorem and trigonometry using real world examples. When complete, all videos, data, instructions and solutions will be provided. 
* The number of miles on the yaxis of both graphs is in 1,000's of miles. 
The 2005 Urban Mobility study provides a variety of data regarding transportation in urban areas. The data from this study has been transferred to a variety of formats and is available for download as a TI83 program, Excel spreadsheet, pdf, or Logger Pro file.
Source: 2005 Urban Mobility
The TI83 Program contains the following data:
A HIGH SPEED CONNECTION IS REQUIRED FOR THE FOLLOWING VIDEOS!
A powerpoint of the circular object lab which relates distance traveled on a circle to the radius of the circle. Lab Activity  To help students understand the relationship between linear distance and arclength, we completed a "circle lab". 

Students are given a circular object such as a plate, a can, or a lid from a butter dish. Groups of students measure and record the radius. After measuring the radius, the object is rolled one complete revolution. The distance the object moves is measured and recorded. All groups report their findings and a stat plot of the data is made. A discussion of the slope in which all units divide out occurs. We soon find the C = 2πr is a specific case of S = θr where the angle 2π is one complete revolution of a circle. The next activity helps to explain why the units of 2π are called radians.  
A circle is drawn on the board. Two students measure and mark the radius on a piece of rope. The piece of rope is then placed around the circle and the length of the radius becomes the arclength around the circle. A line is placed at the end of each length of the rope. It is determined that it takes approximately 61/3 lengths of the radius to go around the circle. Hence, the term radian is the angle which has its radius equal to its arclength. It takes 2π radians to complete one revolution of the circle. 
The image at the left shows a circle with the radius measured and marked around the outside edge of the circle. Each of the blue numbers is the radian measure of the angle. 
A ball is rolled up and down a ramp with a motion detector measuring the displacement versus time. A parabolic data set is collected, shared with students, and fit using factored, vertex and quadratic forms. The TI83 programs used in this lesson to collect data are GENDIST and LINKCK. The data set is available as B1. Analysis requires the program CHOOSE.
A HIGH SPEED CONNECTION IS REQUIRED FOR THE FOLLOWING VIDEOS!

Using a motion detector pointed toward the floor and revolving the motion detector around the wheel, the height of of the revolving wheel can be recorded with the time. Manual techniques are applied to find a mathematical model and the model is explained in terms of motion around the wheel. Data for this activity is available in the TI83, Excel, and Logger Pro. Additional data sets for a pendulum and oscillating spring are available. The Excel file contains all 3 data sets. Units of distance are meters and time is in seconds. 
A HIGH SPEED CONNECTION IS REQUIRED FOR THE FOLLOWING VIDEOS!
01  Collecting Data (2:22) 
TI83, Logger Pro, Excel 

Other Sample Data Sets  The Excel data set contains all 3 sets.  
TI83, Logger Pro 
TI83, Logger Pro 
Math 8  EDU Online Materials
Online mastery and testing materials for 8th grade math intervention using the Brownstone EDU webbased learning system.
Staff Development Materials 
June 78, 2006
August 25, 2005
© 2004  2011, Jerel L. Welker
Email: jwelker@lps.org
Page Updated:
October 8, 2012