Friday, June 6, 2014

Five for Friday {June 6th}

The end is either here or near for many of us!  Lucky to those who are already on summer break, I hope you're enjoying your time off! It's that time again!  Another Five for Friday Linky party with Doodle Bugs Teaching!


I decided to do my Five for Friday surrounding different ideas and themes that come up during the week. This week, it seems like everywhere I looked, I saw various fun math problems.  So that's my theme this week!

Here we go!



 I originally saw this on The Math Maniac's Facebook page.  It's a fun algebra math question that your students might have a fun time trying to decipher the pattern.  All answers will be at the bottom (don't want to give it away too quickly!)

http://lkfor.com/pin/170297/




I posed this one on my Facebook page the other day and got a variety of responses.  Are you teaching the order of operations at some point? Then save this image!  It'll be very useful to determine who does and who doesn't understand how the order of operations works!

http://forums.overclockers.co.uk/showthread.php?t=18475829



Another similar style puzzle as the first one, where a pattern needs to be figured out to solve the problem.  I like this one, because there are two patterns that can be used to solve it and it'd be interesting to see which one your students use!

http://dailybrainteaser.blogspot.ca/2013/06/very-easy-maths-picture-puzzle.html



I'm not going to say much on this one right now.  It might drive you nuts until you look at the answer, and then you'll laugh :)  A sure fire way to get your students to look at things differently!

http://dailybrainteaser.blogspot.ca/2014/05/math-image-question.html



And last but not least, a classic.  How many squares can you find in this image? Great when teaching geometry and identifying shapes!

http://dailybrainteaser.blogspot.ca/2014/06/count-squares-riddle.html




Ok, so I hope you at least tried to answer the puzzles before jumping down here and looking for the answers!  

Here the are, the ANSWERS!




If you take the first number, and multiply it by the number following it (ex. 2 (x3) = 6, 3 (x4)=12, 4 (x5) = 20).  Therefore, when you're at 9 = , you have to do 9 (x10) = 90!


Ok, so the order of operation states we do :
Brackets
Exponents
Division
Multiplication
Addition
Subtraction

So let's review the puzzle :

4 x 4 + 4 x 4 + 4 - 4 x 4 = 

We have to do the 3 multiplications first, since there are no brackets or exponents (or division). Leaving all other signs as is, we are left with :

16 + 16 + 4 - 16 = 

Now we are at addition and subtraction.  Like multiplication and division, we do those together, from left to right.  I'll do them step by step.

32 + 4 - 16 = 
36 - 16 =
20 =

Therefore, the final answer is 20!


Ok, there are two methods of solving this problem.  The first one is going from top to bottom.

The first column adds one each time (3, 4, 5).  The second column starts with 6 (since it's +1 from 5) but then starts counting by 2 each time (6, 8, 10).  The third column starts with 12 (since it follows the second column's pattern) but counts by 4 each time (12, 16, 20).

The second way to solve the pattern is to go left to right.
From the first square to the second, you add the same number (3+3 = 6)  Then you add the same number again to get the number in the third square (6 + 6 = 12)

For the second row :
4 + 4 = 8
8 + 8 =16

Third row :
5 + 5 = 10
10 + 10 = 20

Therefore, the answer is 20.  I'd love to hear in the comments which method you used (or if you used another one!)  I personally used the second method I described.



Oh I love this one!  It's sooo easy, and not really related to math!   Well, yes it is but you have to look at the image from a different perspective to get the answer! 

Ready?

Turn the image upside down, I'm sure the answer will be right in your face!

87, for those who don't want to go back and look.  But you should, it's funny!


There are 17 squares in this image.  Didn't get 17?  Look again!

1 super large square
2 large squares
8 medium squares
6 small squares

No, the border doesn't count!



And there you have it, my Five for Friday for June 6th!  I hope you enjoyed today's post!  


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Have a great Friday!