The objectives and the scope and sequence for the elementary school mathematics program of the Denver Public Schools (Colorado) are presented. The guide begins with a statement of the philosophy and general objectives of the K-12 mathematics program and a discussion of the methods of achieving those objectives. Several important ideas and concepts in the teaching of mathematics are described. A scope and sequence is presented which lists student objectives for each level from kindergarten through sixth grade under the following topics: (1) mathematical sentences; (2) number and numeration (whole numbers); (3) operations (whole numbers); (4) number and numeration (rational numbers); (5) operations (rational numbers); (6) geometry; (7) measurement; and (8) graphs, charts, and tables. Mathematics vocabulary words are listed with recommendations for introducing each word at either the primary or intermediate level. Following a statement of philosophy on teaching mathematics in kindergarten, an extensive grade-level outline is presented which further defines the objectives contained in the scope and sequence, this time combining the objectives for the various topics together for each grade level. The outline also relates each objective to activity resource guides which are listed as Denver Public Schools resources. The appendix provides descriptions and prices for these resource materials. (DC)