This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about mathematical thinking, and provide a foundation for fluency with the core ideas. This book also discusses common student errors and misconceptions, reasons the errors may arise, and teaching methods or visual representations to address the errors. Because learning paths cut across grades, some discussion of related Focal Points at grades 6 and 7 have been included to describe and clarify prerequisite knowledge and show how the grade 8 understandings build on what went before. This book, one in a series of grade-level publications, is designed to support teachers, supervisors, and coordinators as they develop and refine the mathematics curriculum. It is divided into five parts: (1) Introduction; (2) Focusing on Linear Functions and Linear Equations; (3) Focusing on Analyzing Geometric Figures and Space by Using Distance and Angle; (4) Focusing on Analyzing and Summarizing Data Sets; and (5) References.