POLYA's METHOD

Direction: Solve the following problems using Polya's Four-step method and employing the different strategies:

Step1: Understand the problem.

Step2: Devise a plan (translate).

Step3: Carry out the plan (solve).

Step4: Look back (check and interpret).

1. Alice, Ben, and Carl collect stamps. They exchange stamps among themselves according to the

following scheme. Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has. After

that, Ben gives Alice and Carl as many stamps as each of them has, and then Carl gives Alice and Ben as

many stamps as each has. If each finally has 64 stamps, how many stamps does Alice have at the start?

2. A baseball team won two out of their last four games. In how many different orders could they have

two wins and two losses in four games?

3. How many squares of 1 x 1 size are in an 8 x 8 checkerboard?