This guide provides enrichment for students to develop tools and concepts used in various areas of mathematics. The first part presents arithmetic progressions, geometric progressions, and harmonic progression. In the second section, the concept of mathematic induction is developed from intuitive induction, using concrete activities, to the principle of mathematical induction. Logarithms constitute the third section beginning with a review of laws of exponents and bases 2, 3, and 5 and concluding with common base 10 logarithms, antilogarithms, and interpolation. The final section of the guide deals with methods for introducing the slide rule (making a slide rule, parts of the slide rule, reading numbers on the slide rule, multiplying and dividing with the slide rule). The guide contains student exercises and investigations plus suggested questions and references for teacher use. (JW)