Saturday-+Mathematics

Facilitated by Erin Krupa
=Application of PBI by Content Area: MATHEMATICS=


 * PBI Compelling Question**: //How can technology be used to motivate students and to enhance the solving capabilities of students?//

__Technological goals __:
 * Learning Outcomes for this PBI:**
 * using the Goal Seek function in Excel
 * using the calculator to find maximums
 * using video clips to motivate lesson
 * creating a new task in Toondoo

__Pedagogical goals__:
 * discuss when to use the Goal Seek function
 * critiquing the motivation of a lesson
 * brainstorm possible student responses
 * discuss differences between solving by hand, in calculator, and using computer programs

__Mathematical goals__:
 * solving equations with 1 or 2 solutions
 * solving a system of equations
 * finding extrema using the derivative


 * Tools Used for this PBI:** computer with Excel and internet access for Toondoo

School Dance/Wile E. Coyote Activity [[file:Goal Seek BRS.xls]]
media type="file" key="Looney Tunes - Coyote Falls 3D - First Scene [www.keepvid.com].flv" align="center" width="520" height="390"
 * 1) Use the School Dance problem to introduce Goal Seek
 * 2) Introduce Wile E. Coyote Activity

Video Taken From: http://www.youtube.com/watch? v=HjZIeHDfshQ 3. Groups work on Wile E. Coyote Activity and brainstorm student responses for part b. 4. Create your own task using <span style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: 100% 50%; background-repeat: no-repeat no-repeat; cursor: pointer; padding-right: 10px;">[|Toondoo]

If we have time, take a look at modeling and sliders in Excel. Integration explorationTaken from: http://www.mathcs.richmond.edu/~caudill/localhome_links/m231/Excel/Integration_Lab4.pdf

Explore trig functions

Dynamap to tables, graphs, and sliders

School Dance Problem:
<span style="font-family: Arial,Helvetica,sans-serif;">Student Government is organizing a dance at your school. The DJ costs 560 CNY and the refreshments cost 430 CNY. The principal has told them they must sell tickets for 27.25 CNY. <span style="font-family: Arial,Helvetica,sans-serif;">a. Type a linear equation below to show profit as a function of the number of tickets sold. Be sure to identify your variables. <span style="font-family: Arial,Helvetica,sans-serif;">b. Below where you typed your equation and identified the variables, create a 2-column table of values showing number of tickets sold and the corresponding profits using your equation in part a. Then, create a scatter plot of your data. Be sure to label the axes. <span style="font-family: Arial,Helvetica,sans-serif;">c. How many tickets must they sell in order to break-even? How do you know?

Wile E. Coyote Activity:
<span style="font-family: Arial,Helvetica,sans-serif;">The Roadrunner is standing at the edge of a cliff 800 meters above the ground. Wile E. Coyote is 42 meters above the ground on a ledge directly below the Roadrunner. Wile E. has purchased a spring catapult from Acme Catapult Company. This catapult will propel Wile E. upward with an initial velocity of 117 meters per second. The equation that gives the height, h(t), of Wile E. above the ground t seconds after he releases the catapult is given by h(t) = -4.9t2 + 117 t + 42. <span style="font-family: Arial,Helvetica,sans-serif;">a. Does Wile E. reach the height of the Roadrunner? How high does he go? <span style="font-family: Arial,Helvetica,sans-serif;">b. When is Wile E. at the same height as he was when he catapulted? <span style="font-family: Arial,Helvetica,sans-serif;">c. When will Wile E. hit the ground?

Copyright for Image: http://katma-critiques.blogspot.com/2010/07/coyote-vs-road-runner.html