This book focuses on curricular issues involved in preparing students for taking the SAT I--Reasoning Test using a problem-solving focus. There is a particular philosophy with which this book is presented. First, the illustrations have been selected to demonstrate in dramatic form the power of the procedure presented. Second, the problems both in this book and the companion student book are slightly more difficult than the items on the SAT I. Components of the book include: an overview of the SAT I, selective review of the mathematics taught through elementary algebra and geometry with particular attention to problem solving, less well known mathematics facts and problem solving short cuts, discussion on advising students on strategies for taking the SAT I, and detailed presentations of 10 specific problem-solving strategies. (MKR)