**ERIC Number:**EJ902126

**Record Type:**Journal

**Publication Date:**2010-Oct

**Pages:**8

**Abstractor:**ERIC

**ISBN:**N/A

**ISSN:**ISSN-0025-5769

Bouncing Balls and Graphing Derivatives

Cory, Beth

Mathematics Teacher, v104 n3 p206-213 Oct 2010

National Council of Teachers of Mathematics' (NCTM's) (2000) Connections Standard states that students should "recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect ...; [and] recognize and apply mathematics in contexts outside of mathematics" (p. 354). This article presents an in-depth problem-solving activity that can enhance students' understanding of the connections between a function and its derivative and generate important connections between mathematics and physics. Using motion detectors, calculus, and physics, algebra and precalculus students create height-, velocity-, and acceleration-versus-time graphs of a bouncing ball. After constructing their own graphs, students can compare their solutions to those produced by the calculator. (Contains 12 figures.)

Descriptors: Graphs, Physics, Calculus, Mathematics Instruction, Mathematical Concepts, Problem Solving, Learning Activities, Motion, Algebra, Computation

National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/

**Publication Type:**Journal Articles; Reports - Descriptive

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A