GRADES 9 - 12
MOTION MATH

OBJECTIVES: Students: learn to calculate average rate of change of a function over an interval and to then approximate instantaneous rate of change as the average rate of change over increasingly smaller intervals; visualize the relationship between average rate of change and instantaneous rate of change on graphs of functions. NATIONAL SCIENCE STANDARDS: Physical Science: Motions And Forces STANDARDS FOR TECHNOLOGY LITERACY: The Nature of Technology: Students will develop an understanding of the relationships among technologies and the connections between technology and other fields of study. NATIONAL MATHEMATICS STANDARDS: Analyze functions of one variable by investigating rates of change. Use symbolic algebra to represent and explain mathematical relationships. Judge the meaning, utility, and reasonableness of the results of symbol mani pulations, including those carried out by technology. Approximate and interpret rates of change from graphical and numerical data. Recognize and apply mathematics in contexts outside of mathematics.

LECTURE AND PREPARATION TIME: 1 hour LESSON TIME: 1 hour WORDS TO KNOW: acceleration average function instantaneous velocity slope tangent velocity