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
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, real-life 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!
Here is where you'll find the course content for Spring, 2009.
Assignments are here.
Syllabus is here.
Throughout the notes, you will find many GeoGebra applets. These are interactive Java applets. To activate them, just click on them, and wait for the applet to load. If you're using Internet Explorer, you may have to click on the "Allow ActiveX control" warning bar at the top of your browser, for the applet to load. I encourage you to download GeoGebra yourself, or use the "Web Start" option, over at http://www.geogebra.org . It's very easy to use, and a lot of fun!
Perhaps the easiest Wiki I've ever scene. Anyone, and I mean anyone, can now create a wiki for use with their students or to share information with colleagues. I wonder what their business model is and how long they will be able to sustain this approach, but until then I plan on using orb.com with teachers as a great entry point tool.
ationalatlas.gov™ contains a remarkable range of products and services to meet the diverse needs of people who are looking for maps and geographic information about America. Dynamic maps are innovative illustrations of geographic phenomena. We combine the science of mapping with today's multimedia to offer maps that are useful, understandable, and that stimulate interactivity.
Great resource for developing a protocol for looking at student work with your PLC, staff, department. Offers not only protocols, but strategies for introducing the idea to your group, supporting the activity long-term to meet the needs of your staff/PLC.