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Always a fan of the fibonacci sequence and think this does a nice job of describing the relationship in nature. I really like the examples, but could do withouth the authors humor.

In this unit, students will investigate a relationship between recursive functions and exponential functions. Math Content By the end of this unit, students will: Represent data using tables, graphs and rules Investigate patterns and make conjectures Express sequences with recursive and exponential rules Describe and interpret exponential functions that fit the patterns Individual Lessons Lesson 1 - Trains, Fibonacci, and Recursive Patterns In this lesson, students will use Cuisenaire Rods to build trains of different lengths and investigate patterns. Students will use tables to create graphs, define recursive functions, and approximate exponential formulas to describe the patterns. Lesson 2 - More Trains In this lesson, students will use Cuisenaire Rods to build trains of different lengths and investigate patterns. Students will use tables to create graphs, define recursive functions, and approximate exponential formulas to describe the patterns. Lesson 3 - Recursive and Exponential Rules In this lesson make connections between exponential functions and recursive rules. Students will use tables to create graphs, define recursive rules and find exponential formulas.