Today Aiden and I continued working with triangles. We started with given conditions of a 40 degree angle, and side lengths of 5 and 6 units. We drew a triangle and considered if this was the only possible triangle we could draw. We noticed that if we "swung" one of the legs inward, we could still preserve it's length but it would create a triangle with a different shape this time. We compared this exercise with one we saw yesterday where the conditions given implied there was only 1 possible triangle that could be created. We then discussed a 30-60-90 right triangle and I asked Aiden what types of triangles could be created with these conditions. We agreed that the triangle could be enlarged or reduced, but the shape would stay the same. If we oriented it differently by reflecting or rotating it, the position would change, but the actual shape would remain the same. We determined that all 30-60-90 triangles are proportional to each other by some scale factor. Instead of moving onto 8.4 (that will take a whole class period), we decided to practice some of the problem types we've seen recently. We pulled up a problem with a scale factor drawing of a living room blue print. We practiced using proportions and cross multiplication to solve for the missing sides. Aiden did excellently today!