[color=#1551b5][/color]This applet was designed as part of a Applied Algebra lesson on Systems of Equations. Students watched the Intro scene of the movie Indiana Jones Raiders of the Lost ark then completed three chalenges based on the movie.
[b][i]Challenge 1: Cross the Room[/i][/b]
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[i]Pass across the room without setting off any traps.[/i]
Viewing the stone tiles as a coordinate plane with [math]-7≤x≤7[/math] &[math] -7≤y≤7[/math] you notice that the wires for the traps fall on the lines represented by the equations:
[math]-2x+4y=-4[/math]
[math]-3x+6y=24[/math]
[math]x+3y=12[/math]
[math]10x+5y=-5[/math]
[math]8x+4y=-24[/math]
[math]-6x+2y=-12[/math]
[math]7x-14y=84[/math]
The traps are located at the intersection of the lines The trap will be set off if you step on any of the stones adjacent to the trap.
You start at the point [math](−3,−7)[/math]. The treasure is at the point [math](2,7)[/math].
Your Assignment:
• Put all equations in slope-intercept (y=mx+b form)
• Graph all the equations on one graph.
• Indicate the location of all the traps
• Indicate the locations of all tiles that will set of a trap.
• Indicate your starting location and your destination.
• Indicate a safe path to cross the room
Turn this map in, then you may take the challenge of crossing the room.
[b]Teacher Notes[/b]
[i]A coordinate grid was layed out on the floor of the classroom, so that students could actually take the challenge of crossing the room after completing their map. I played the Indiana Jones theme song for students as they crossed the room.
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[b][i]Challenge 2: Grab the Statue[/i][/b]
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[i]Fill your bag with coins of the right weight to steal the treasure without setting off the trap[/i]
• Gold Coins (large poker chips) weigh approximately 11.6 grams each
• Silver Coins (small poker chips) weigh approximately 1.85 grams each
• Rule 1: You may only use 40 coins
• Rule 2: The statue weighs 347 grams
You have one chance only to weigh your coins – anything more than 3 grams off will set off the trap
Your Assignment:
• What are your unknowns / variables in this scenario
• Write a mathematical equation to represent each rule
• In an organized way show our method for solving the problem
• Write your solution in a clear sentence
Turn in your solution, then you may take the challenge of weighing your coins and claim your prize.
[b]Teacher Notes[/b]
[i]Poker chips of different weights and a scale was used to simulate this activity. After completing their math, students could weigh the chips to test their solution. I used a large golden easter egg to represent the idol in the movie. Inside I hid candy which students claimed as their stolen treasure after completing this challenge.[/i]
[b][i]Challenge 3: Escape the Temple[/i][/b]
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[i]Outrun the bolder to escape the room.[/i]
• The bolder is rolling at 11m/s
• The bolder is 60 m behind you
• Safety is 83 m ahead
• You can run _______ m/s
Given how fast you can run, can you escape with your life?
• Measure how many meters per second you can run
• Define your unknowns / variables
• Write a mathematical equation to represent the location of the bolder
• Write a mathematical equation to represent the location of the runner
• Solve the system or equations to find when the bolder and runner will intersect
• Can you survive? Write your solution in a clear sentence.
Turn in your solution, then you may take the challenge and see if you escape with your life.
[b]Teacher Notes[/b]
[i]I had students go outside and measure their running spead and then complete the math based on that. After completing the math the studnets used the applet to simulate running from the bolder. [/i][math][/math]
