## Puzzles and Brainteasers, Set 3

It was a bit tough to get up for work this morning, but I did spend the two-week break well by relaxing and spending time with Mandy.  It was nice to see my students' smiley faces, they are adorable, especially my 6th graders.  They asked me what I did over the break, if I went anywhere, and if I watched the Rose Bowl last night.  Of course I watched the Rose Bowl, silly — Oregon Ducks beat Wisconsin Badgers 45-38!!  One student said that he was happy to return to school because he was bored at home.

My 8th grade geometry class, however, moaned and groaned about the below PS: Area of Quadrilateral that was due today.  (They had three weeks to work on it!)  It just makes me happy to learn that they struggle with a problem because I got them to think!  I haven't graded them yet, so I don't know how the class did.  But I will go over it with them in class tomorrow.

In the figure show below, if the area of triangle BCF is 6 square units, the area of triangle BDF is 3 square units, and the area of triangle CEF is 2 square units, then what is the area of quadrilateral ADFE?

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I gave this problem to my MathCounts elective class.  They worked quietly on their own for 10 minutes, then we discussed it as a whole group.  This problem is from NCTM Illuminations, a great resource!

Outside the Box

Complete the following steps.

• In the 4 x 4 grid below, choose a number in any cell.  Circle it.  Then cross out the other numbers in the same row or same column.
• Choose one of the nine remaining numbers, and circle it.  Again, cross out the other numbers in the same row or same column.
• Choose one of the four remaining numbers, circle it, and cross out the other numbers in the same row or same column.
• Finally, circle the last remaining number.
• Add the four circled numbers together.  What is the sum?
• Do this all over again by picking different numbers to circle.  What is the sum?  Can you explain why it happened?

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My 6th graders got this fun problem.

Yokes on You!

If three hens lay four eggs in five days, how many days will it take a dozen hens to lay four dozen eggs?

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• January 4, 2012 4:42 PM Tad Jackson wrote:
Fawn ... I love your writing and want to thank you for including A Dixie Diary on your blogroll. Many thanks ... and I look forward to your posts!

Teach on!

1. January 4, 2012 7:44 PM fawnnguyen wrote:
Hi Tad, thanks for dropping by!  I really admire the work that you do with your group of students, and you do it with such heart and humor.  (I rely on brute force and sarcasm.)  I didn't know bipolar is now "temper dysregulation with dysphoria" either! So glad to have found your high-quality, wonderful writing blog -- THANK YOU!!
Fawn

• March 1, 2012 3:29 AM Will wrote:
Hi thanks I'm glad you posted this and I've bookmarked this site to check back often .
1. March 1, 2012 11:19 AM fawnnguyen wrote:
Thanks for dropping by!