Exponential+Decay

[Bellingham team]

This might be better as a 2-3 day activity added to the CSI module. ** A2A Exponential Decay Module Unit Plan  ** How does changing the conditions in an experiment affect the graphical and algebraic representation of the mathematics needed to make valid predictions? || The relationship between exponential and logarithmic functions. || A2.1.C A2.1.D A2.3.C A2.4.A A2.4.B A2.4.C A2.6.E CTE Exploratory Courses 3.1Demonstrate knowledge of career options within the related pathway. 4.1Demonstrate leadership skills and employability skills. ||
 * ** Mathematics Theme  ** ||  Exponential Growth/Decay  ||
 * ** CTE Theme  ** ||  STEM  ||
 * ** Time Expectation  ** ||  8-10 55-minute class periods  ||
 * ** Identify Desired Results  ** ||
 * ** Understandings  ** ||
 * This module demonstrates the context of exponential growth/decay and includes skills necessary to address non-contextual exponential laws. ||
 * ** Mathematics Essential Questions  ** ||
 * Can we use data collection to predict future occurrences in exponential decay?
 * ** Concepts: **The students will know… ||
 * The interdependence of physical conditions in an experiment and the mathematical processes required to make valid predictions. ||
 * ** Knowledge: **The students will know… ||
 * How to solve questions related to exponential growth and decay.
 * ** Skills ** : the students will be able to… ||
 *  ||
 * ** Standards Addressed  ** ||
 * A2.1.A

Students will use the relationship between decreasing water temperature and weight when dry ice is added to medium to predict the length of time required to match temperature or weight prediction. || Fluency in symbolic manipulation Fluency in fractions and decimals || 2)Dry ice lab using three different temperatures of water and equal amounts of dry ice. (2 day?) 3)Exponent laws and practice with algebraic manipulation. 4)Cooling corpse activity (CPM) 5)Poster activity to communicate knowledge of exponential growth/decay (population data?) 6)Review 7)Summative lab to predict weight/temperature related to initial lab. || Dry Ice Temperature probe (optional) Graphing Calculator ||
 * ** Presenting Theme Problem:  ** ||
 * Cooling competition:
 * ** Formative Assessment:  ** ||
 *  ||
 * ** Summative Assessment:  ** ||
 * Summative assessment will be paper and pencil test to assess basic skills of exponent manipulation and exponential/logarithmic equation solving.Students will also be graded on their ability to accurately predict specific outcome of temperature/weight lab experiment given particular initial condition. ||
 * ** Necessary Prior Knowledge and Skills: ** ||
 * Understanding of basic functions (linear, quadratic)through tables or graphs
 * ** Scope and Sequence of Instructional Activities  ** ||
 * 1)Initial prediction and setup of dry ice lab
 * ** Necessary Materials: ** ||
 * Lab Scales (1 per group)
 * ** Printed Resources: ** ||
 * CPM Algebra 2 Text (cooling corpse scenario) Please include a full description here - not everone has CPM ||
 * ** Supplies: ** ||
 *  ||
 * ** Electronic resources:  ** || ** Other ** (speakers, field trips, etc.):  ||
 * [|www.padowan.dk] (free graphing resource) ||  ||