Ecosystem Simulations and Chaos on the Graphing Calculator
An eighth grade algebra class used graphing calculators to
simulate ecosystems. One simulation introduced mathematical chaos.The students
were able to explore the iteration theory using a graphing calculator. Three
classroom-ready worksheets are included. Science connections include
equilibrium, and carrying capacity of ecosystem.
Who Will Win? Predicting the Presidential Election Using Linear Regression
Article outlines a linear regression activity that engages
learners, uses technology, and fosters cooperation. Students generated
least-squares linear regression equations using TI-83 Plus™ graphing
calculators, Microsoft© Excel, and paper-and-pencil calculations using derived
normal equations to predict the 2004 presidential election. This data-analysis
activity supports students by engaging them through meaningful, relevant
Creating and Exploring Simple Models
Students manipulate data algebraically and statistically to
create models applied to a falling ball. They also borrow tools from arithmetic
progressions to examine the relationship between the velocity and the distance
the ball falls. A supplemental option is to use a Computer Based Laboratory
(CBL) for this activity. Students use graphing calculators to manipulate the
sequences (in the statistics editor). Students can plot their data and
superimpose their model on the calculator.
Redefining a Model
This article describes an alternate way to utilize a circular
model to represent thirds by incorporating areas of circular segments,
trigonometric functions, and geometric transformations. Students start activity
with pencil and paper, but eventually verify solutions using technology. This
task provides opportunities for higher levels of thinking.
Using a Before-During-After (BDA) Model to Plan Effective Secondary Mathematics Lessons
Jane Wilburne, Winnie Peterson
Article describes what a before-during-after (BDA) format is and provides two examples of how it is implemented in high school mathematics classes. Each component of the lesson plans is detailed and explained in order to maximize the students' engagement. Includes a teacher outline for constructing your own BDA lessons.
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