Mathematics units developed during a summer workshop are presented. The purposes of the workshop were to prepare qualified secondary teachers to teach mathematics to low achievers and to collect, review, and develop new methodologies and materials for teaching the reluctant learner in mathematics. The units developed were designed to be used as supplementary materials and it was indicated that individual teachers should feel free to adapt the units to fit local needs. The units were designed to help students achieve needed competencies that were suggested by a committee of the National Council of Teachers of Mathematics. Each unit includes a competency statement, instructional objectives, and two suggested activities. Twenty-seven competencies are listed. The number of instructional objectives for each competency varies from one to fourteen. Some of the suggested competencies are: (1) ability to perceive patterns displayed by means of sequences of specific instances; (2) use the standard algorithms for the operations of arithmetic of whole rational numbers; and (3) construct bisectors of lines and angles. (MK)