Mathematics Homework Help

Choose 3 problems that you have worked on since Assignment 2 and write up your solutions. The handouts we have used since Assignment 2 include the following:

The Harry Potter Problem, Adopting a Different Point of View, Solving a Simpler Analogous Problem, the Tower of Hanoi, Extreme Cases, and Making a Drawing.

You cannot use the problems which I did in class (the problems on the front of each strategy handout). Choose 3 problems from different handouts. Do not choose 3 of the easiest problems; choose at least 2 problems that require some work to solve. Remember, part of being able to solve problems is being able to communicate your solutions to others. For each problem, indicate where the problem came from (Ex – Extreme Cases problem #4) and write up a solution using complete sentences and proper English. Please use diagrams, charts, pictures and/or whatever else will help you explain your solution. You do not have to type it up, but it must be neat. Each problem is worth 4 points and the following scale will be used to score each problem.

4 pts: An appropriate strategy was implemented and explained. The reader can follow the solution through each step to the correct solution.

3 pts: Solution has one of the following characteristics:

Implemented a solution strategy that could have led to a correct solution but student misunderstood part of the problem or ignored a condition in the problem.

Implementation of the strategy is not completely clear. Not all steps are clearly explained.

2 pts: Solution has one of the following characteristics:

Showed some understanding of the problem, but did not understand the whole problem or was not able to get to a complete solution.

Mistake in the strategy led to an incorrect answer.

Correct answer, but the work is not understandable, or no work is shown.

1 pt: Solution has one of the following characteristics:

There is a start toward finding a solution that reflects some understanding, but the approach used would not have led to a correct solution.

Student tries one approach that did not work and then gave up.

Student tried to reach a subgoal but never did.

0 pts: Solution is blank or contains no new information. No apparent understanding of the problem.

Here are the problems you need to fully solve in depth:

Extreme Cases problem #5:

5.In a drawer there are 8 blue socks, 6 green socks and 12 black socks. What is the smallest number of socks that must be taken from the drawer without looking at the socks to be certain of having 2 socks of the same color?

Making a drawing #7:

7. A jeweler makes silver earrings from silver blanks. Each blank makes 1 earring. The shavings left over from 6 blanks are then melted down and recast to form another blank. The jeweler orders 36 blanks to fill an order. How many earrings can be made from the 36 blanks?

Different POV #6:

6.If x+y=1 and x/y=1, what is the value of xy?