To understand Square Roots, Let us look at some patterns
To practice, some square roots, lets take a look at this square roots wristwatch. On this watch, instead of using the numbers 1,2,3,4,5,6,7,8,9,10,11,12: we use sqaure roots to indicate these numbers. By doing this we can see that
You may see a pattern. The number on the left side of the = sign, mulitplied by itself, gives us the number under the square root sign.1*1=1, 2*2=4, 3*3=9 4*4=16 5*5=25 6*6=36 7*7=49 8*8=64 9*9=81 10*10=100 11*11=121 12*12=144. That is what it means to have a square root of something.
A way to memorize this is by considering another pattern. If we look at those numbers again, we can see that
When going from the square root of 1 to the square root of 4, we just add 3, after that, we just add the next odd number in the sequence. Here are some more examples:
This diagram I made shows this pattern further.
I didn't know that square roots are an example of a finite sequence. I can see where this can be very useful to help someone who struggles with understanding square roots too.
ReplyDeleteI really like the picture of the watch. I never thought about square roots in that way, and it makes it a lot easier to understand.
ReplyDeleteThe watch was definitely a cool find!
ReplyDeleteThe watch is sweet! And, it could be used in a cool lesson on square roots. I like the way you look at ideas and turn them into easy, fun problems. Students will understand this way better with your detailed examples and the cool watch!
ReplyDelete