The patterns are then used to construct models of the five platonic solids. A Bit Edgy Students use their models to discover the relationship among the vertices, edges and faces of regular polyhedra. Lesson 8 Fractal Patterns Students are introduced to the language of fractals. They practice iteration by creating the Koch curve. Lesson 9 Recursive Relations Building on the idea of iteration from the previous lesson, students are introduced symbolic iteration.
Students explore pictorial and algebraic representations of square and triangular numbers.
Lesson 11 Polygonal Number Patterns Students represent pentagonal and hexagonal numbers pictorially. They also utilize difference tables to predict a future polygonal number. The Fibonacci numbers are introduced using the story of successive rabbit generations. The Golden Ratio and Fibonacci Numbers Students investigate the Golden Ratio and its relationship to the Fibonacci numbers. Lesson 15 Pattern Collections Students apply their knowledge of various types of patterns to present and evaluate pattern collections of classmates.