This is part one of a two-part manual for teachers using SMSG text materials for grade 9 students whose mathematical talents are underdeveloped. The overall purpose for each of the chapters is described and the mathematical development detailed. Background information for key concepts, answers for all exercises in each chapter, and suggested test items are provided. Chapter topics include: (1) sets and the number line; (2) numerals, sentences, and variables; (3) open sentences and truth sets; (4) properties of operations; (5) open sentences and word sentences; (6) real numbers and the four basic operations; and (7) properties of order. (MN)