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This week you will need to make sure your e-portfolio is up to date. Please check your goals, learning log and problem solving pages are linked and work correctly. You will need to make sure that your 4 problems have been solved and you have completed all parts of the forms.

When I look at your e-portfolios this week, I should see -
 * 1) My Learning link with a Mathex link in it.
 * 2) When I click on your mathex link, there will be a Mathex title page with the following links - Goals, Learning Log, Problem Solving. All these should be completed and the links should all work.
 * 3) What it means to be in Mathex in the right column on your title page should also be completed.
 * 4) If you are unsure how to make any of the links above, please see me this week to go over it.

You can also put your first entry into your Learning Log for this week. We will discuss this in class this week.

This week we will be looking at different problem solving strategies. Here is a list: Here are some problems. Solve each of them and state what strategy you used to solve them. Make sure you are able to discuss how you got your answer. 1. Busra went to her grandfather's farm. Her grandfather has chickens and goats on his farm. She asked him how many chickens and how many goats. Because her grandfather likes mathematical puzzles, he told her that his animals had 26 heads and 68 legs and from that information she could calculate the number of chickens and the number of goats. If you were Busra, how would you solve the problem?
 * **Find a Pattern** || [|**Example**] ||
 * **Make a Table** || [|**Example**] ||
 * **Work Backwards** || [|**Example**] ||
 * **Guess and Check** || [|**Example**] ||
 * **Draw a Picture** || [|**Example**] ||
 * **Make a List** || [|**Example**] ||
 * **Write a Number Sentence** || [|**Example**] ||
 * **Use Logical Reasoning** || . ||

2. A pair of rabbits, one male and one female, are put into a pen. After two months they have two offspring, one male and one female. They continue to have an additional two offspring every month thereafter, always a pair, one male and one female. This pattern continues: after two months, every pair of rabbits start to reproduce and every month thereafter they have a pair of offspring. After one year, how many pairs will there be?

3. One night the King could not sleep. He went to the royal kitchen, where he found a bowl full of mangoes. Being hungry, he took 1/6 of the mangoes in the bowl. Later that same night, the Queen could not sleep, and she was hungry. She found the mangoes and took 1/5 of what the King had left in the bowl. Still later, the youngest Prince awoke, went to the kitchen, and ate 1/4 of the remaining mangoes. Even later, the second Prince ate 1/3 of what his younger brother had left. Finally, the third Prince, the heir to the throne, ate 1/2 of what his younger brothers had left, and then there were only three mangors left in the bowl. How many mangoes were in the bowl when the King found them?

4. The letters ABCD, can be put into a different order: DCBA or BADC. How many different combinations of the letters ABCD can you make?

5. Murat has decided to plant grapes in the garden behind his house. His neighbor Volkan has grown grapes successfully for a long time and has given Murat advice about how to plant vines. Volkan told him to plant them three meters apart in rows that are three meters apart. He also told him to leave at least three meters between each vine and the edge of the garden. Murat has measured the size of his garden and learned that it’s a rectangle with sides of 25 meters and 35 meters. How many vines should Murat buy?

6. Can you solve a magic square problem in which there are five columns and five rows? Use all the numbers from 1 to 25, and the sum of each row, each column, and each diagonal should be 65?

Now take this fraction challenge media type="custom" key="3562712"