The math problem animation proved to be much more difficult in deciding the best way to approach its animated solution. The question which can be seen here, involves a basic understanding of algebra and geometry. In order to properly explain it, we would have to show the steps need to solve the problem, in addition to any needed equations/theorems.
As with the word problem, a narrative explanation along with a story board, were drafted up.
“Color associations visually represent the equality of the hypotenuse BE2 to the area of square BCDE . The animation begins with the square rolling off of the triangle to show explicitly that side BE of square BCDE is shared. Next the equality of all sides of BCDE is demonstrated by superimposition and then as the square is reassembled by color association (ie. equal lengths will all be the same color). When the square is reassembled with four sides all of the same color it will roll back on to triangle BEA.
The lengths of legs EA and BA are given, 3 and 5 respectively. Each of the legs will be colored differently. Remember, leg BE will share the same color as sides CB, CD, and DE of square BCDE. The animation will then remind the viewer of the Pythagorean theorem and solve for the length of hypotenuse BE. The solution is BE = √34. At this point in the animation the screen splits and the formula for the area of a square is represented. Using color association the animation will demonstrate that the side BE2 is equal to the √342, or 34.
It is important to note that equity throughout the animation is demonstrated in using two strategies. First, superimposition (a common Euclidean method for demonstrating equal lengths) and color association (a fun and clear way to show equalities throughout the solution of the problem).”
The animation of this seemingly simple little piece took close to 30 hours. Despite the frustration I had with auto-orienting the letters of the segments to their lines, I think the piece turned out to be pretty successful.