
Illuminations: Counting the Trains
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. 
Great set of lessons for modeling, recursive functions, reallife application from NCTM Illuminations. The lessons include not only context, but applets that help students visualize the situation and mathematical model.

This is a compilation of Karl's Transparent Algebra posts. He does such an incredible job of making his thinking visible for all of us in how he is planning his course for the upcoming year. I share it because I think it's a valuable example of a reflective practitioner and worth sharing. If you have any teachers who might benefit from reading some of his reasoning, I encourage you to send them to his blog!

Troovi :: Exchanging photos made easy
Great tool for sharing pictures from PC to PC. Doesn't work for iPods b/c guess what it needs flash (thanks Apple).
Posted from Diigo. The rest of my favorite links are here.
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