Everest Calculus

Prompts

Create 25 high school level calculus problems. Group them into 5 difficulty levels with the most challenging problems in the last 5. Provide an answer key. 

Refine this to create 30 problems in 6 levels of increasing difficulty. Include the problem and provide the LaTeX code for each problem for ease of use for the instructor.

Double check the answers to ensure that they are 100% correct with no errors.

Game Set Up

Now use these problems to create a mountain climbing game appropriate for high school calculus students. Use the attached image for reference and to build the look and feel of the game. Animate the climb to show where the player is advancing along the path to the summit.  At each Camp level, provide a calculus problem with the easiest problems at Base Camp and increasing the difficulty and complexity through Camps I, II, III, IV, and the Summit having the most challenging problems. Randomize the problems at each level with the 5 easiest problems randomized for base camp. Follow the same process for each successive camp level. Provide warnings when crossing the Khumbu Icefall and the Lhotse Face. Play ominous but soft music thoughout game play with increasing intensity (not louder) when players travel from Camp IV to the Summit in the Death Zone. Add an occasional encounter with the yeti that moves players back one level for medical care. Sporadically and unpredictably, and not in every game play, create an avalanche wtih sound and animation that sends the player back to Base Camp. to start the climb again. Add a text box at each level for players to enter their answer to the problem. Accept typed or LaTeX input for the solution. Add a submit button for each problem's solution. If the player submits an incorrect answer, provide an explanation about what was incorrect in their solution and give them a second randomized problem for that level. If they answer incorrectly on the second problem, end the game and provide directions to see their instructor for more instruction. If the player reaches the summit by answering all provided problems correctly, play a celebration with a trumpet fanfare and waving Nepalese prayer flags.

Iteration

Fix the game so players are not sent back to base camp for an incorrect answer. Keep them at the current camp, while providing a second problem.

iteration 2

Fix the Start Again button to relaunch a new game more smoothly.

Iteration 3

Play soft music and wind sounds during game play.

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