As part of a 3-year comprehensive interdisciplinary program in industrial preparation for vocational students, this 11th Grade teaching guide consists of units on technical mathematics and guidance. Designed as supportive material for related physics and English curriculums, the first four sections of Volume 4 on algebra, vectors, simple machines, and electricity stress fundamental concepts by means of daily lesson plans. Accompanied by classwork and cocurricular assignment worksheets and tests, the 117 mathematics lessons are illustrated with detailed line diagrams. Meaningful self-appraisal through group and personal guidance, leading to a successful occupational choice is the aim of a guidance unit which describes the functions of interests, aptitudes, needs, motivations, and attitudes in career planning. Further insight into human relations is provided by a discussion of prejudice and steps for solving problems. Case studies, references, project lists, and worksheets also enrich this guidance unit. Volume 4 is planned for use with four others, available as VT 015 227-VT 015 231 in this issue. (AG)