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.
Area of Quadrilateral
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?
If you need answers or solutions to any of the problems, please email me at fawnpnguyen@gmail.com or leave a comment. Thank you!
Categories: Problem Solving, General Math
Tags: Area of Quadrilateral Outside the Box Yokes on You! NCTM Illuminations MathCounts
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!
Tad
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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
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Hi thanks I'm glad you posted this and I've bookmarked this site to check back often .
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Thanks for dropping by!
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