2020-12-08T13:55:34-05:00 2014-04-03T15:10:06-04:00 2020-12-08T13:55:34-05:00 Acrobat PDFMaker 11 for Word uuid:7a07737f-67ff-4aee-8653-3fee80666c04 uuid:c5bd51f4-d822-4901-aad6-50e0864a6565 xml 13.02.05: Fostering a Deeper Understanding of Exponential Relationships Through Problem Solving Math Elizabeth Lancellotti exponential functions linear functions patterns Adobe PDF Library 11.0 exponential functions, linear functions, patterns http://ns.adobe.com/xap/1.0/mm/ xmpMM XMP Media Management Schema internal UUID based identifier for specific incarnation of a document InstanceID URI http://www.aiim.org/pdfa/ns/id/ pdfaid PDF/A ID Schema internal Part of PDF/A standard part Integer internal Amendment of PDF/A standard amd Text internal Conformance level of PDF/A standard conformance Text Unit Guide Fostering a Deeper Understanding of Exponential Relationships Through Problem Solving Elizabeth Lancellotti My unit for the Delaware Teacher’s Institute will be a 9th grade unit on exponential relationships and functions. I have taught exponential function units many times using various approaches, but one thing is pretty much always the same; my students do not like it and they do not understand it. In our 9th grade curriculum, the exponential functions unit follows the linear functions unit. I have noticed in the past that students do not seem to be able to solve problems involving exponential relationships in the same way they do with linear relationships. Their understanding of exponential equations is often limited to memorizing the form y = abx where the value of a is your “starting point” and the value of b is your “scale factor”. This unit will cover exponential growth and decay functions as well as simplifying exponential expressions using properties of exponents. I would like to deepen students’ understanding by giving them more in depth problems that involve real world applications of exponential patterns and provide an opportunity to gain an in-depth understanding of the characteristics of exponential functions and expressions.