Learning to square large numbers

DW has begun the process of understanding squaring.  She has looked at binomials (3+4) = 7 for several years from different angles. She has continued to process into squaring of numbers.  Yesterday we looked at the relationship from 1 to 9 then 10 to 90 and 100 to 900 when squared.

Today we began the slow process to understand how to condense large squares into binomials. For example she is laying out the square of 14 in unit beads. To count all these beads will take forever.

She then began to change the unit beads into 10’s and then the 10’s into 100’s.

She then starts with the squares laid out again beginning with the 100’s  (in this example the square is 1 – or  1×1) and then began laying the 10’s on either side of the square like arms and finally in between the arms she placed the remaining green unit beads.  She had one 10 bead left over that she traded back in for green unit beads to complete the the square of four.

At that point it became easy to count the beads – 1 squared (in the hundreds place) + 2(1 x 4) (in the tens place) + 4 squared (in the units place) = 100 + 80 + 16 = 196 = 14 squared.

 

 

 

 

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1 Comment

Filed under DW, Mathematics, Peg Board - squaring/rooting

One response to “Learning to square large numbers

  1. This is how I responded to you on my post – You can email me at tsarina206 at yahoo dot com if you like. We stay in Crystal River Fl, over at the Best Western (Pretty reasonable IMO). Behind the hotel is the Crystal Lodge dive shop (or something like that). Through them you can rent a boat for about 25.00 an hour (min. 2 hours) as well as wetsuits. You may have to buy snorkels and fins (its part of our student’s price). PLEASE make sure you ask to watch the video about laws because you can get a hefty ticket (look up manatee harassment on youtube – it is VERY disturbing what some groups do). We also take the kids to nearby Homasassa Wildlife to check out native animals that are being rehabilitated. They have some GIGANTIC manatee, but also do wonderful presentations on many of their animals. We take them to Rainbow River to snorkel down as well, there are no manatee there but it is gorgeous – they also have kayaks and tubes for rent that are very reasonable as well as a shuttle service. If you email me I’ll share some websites to check out. Our school uses a group in Myrtle Beach called NuHorizon, but you may be able to do it cheaper on your own.

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