This book is designed to present mathematical problems and tasks that focus on the National Council of Teachers of Mathematics (NCTM) curriculum and evaluation standards in the context of aerospace activities. It aims at introducing students to some of the exciting and significant ways in which mathematics might continue to engage them in whatever career paths they may ultimately choose. This book is designed to present significant mathematics at a level attainable by high school students, engage students in reasoning and problem solving, lay a conceptual foundation for understanding mathematical ideas, show contemporary applications of mathematics in an important context using contemporary methodologies, and to motivate and inspire students. Activities include: (1) Scaling Up; (2) Craters, Craters, Craters; (3) Finding Our Way; (4) What is Orbiting Out There?; and (5) Advanced Communication System. Also included are resources for further study. An appendix contains resources from the National Aeronautics and Space Administration (NASA) for educators. (JRH)