Kent is using the scale to compare the weight of various solids. How many spheres will balance one cube?
SIDE ONE4 Cubes
|TOP EQUATION WITH CANCELLATIONS|
|BOTTOM EQUATION WITH CANCELLATIONS|
So what does that tell you? With hardly no effort, you have learned that 1 Cube = 2 Spheres and 2 Triangles AND 1 Cube = 1 Sphere and 4 Triangles You found this just by cancelling things out. You can EASILY cancel in this problem because you know that 1 sphere = 1 sphere and 1 triangle = 1 triangle and 1 cube = 1 cube. NOW you just use patterns to find out how many spheres will balance on one cube.
FIND THE NEXT ITEM IN THE PATTERN
|1 Cube =||4 Triangles||1 Sphere|
|1 Cube =||2 Triangles||2 Spheres|
|1 Cube =||0 Triangles||3 Spheres|
So the answer is 3 Spheres (or B) and we did that all without any math. What does that tell you? More importantly, what does that tell me? As a parent, it tells me that the Washington State Math test isn't an accurate predictor of anything! What does this question prove? I solved this question in minutes without any real math. Why is this on an Algebra End Of Course test? Hmmmm.......