Favorite Math Problem:
~ The four numbers a < b < c < d can be paired in six different ways. If each pair has a different sum, and if the four smallest sums are 1, 2, 3 and 4, what are all possible values of d?
~ The four numbers a < b < c < d can be paired in six different ways. If each pair has a different sum, and if the four smallest sums are 1, 2, 3 and 4, what are all possible values of d?
Reflection:
I believe that a good mathematics problem incorporates the application of learned skills and higher-ordering thinking processes.This particular math problem displays these characteristics. Furthermore, Problem solving is a key aspect in mathematics.When given problem solving applications of mathematics, students are working on thinking outside the box and applying their knowledge of mathematics in ways that are a little less traditional. For this particular problem, students will use number & operations, algebra, problem solving, and reasoning to solve for the possible values of "d." Here, in this problem, it allows student to draw their own conclusions and build upon their problem solving skills.