Infinite Repeating Decimals-
(started 11 Jan 2012)

The first one below was made many years ago by one of Don's students. It was tacked to the door in Don's mathroom, fell off the door recently (a mess) and Don rewrote it , reglued it, photograped it, and uploaded the photo to his computer.

Don started talking about it with one of his student's grandmother, who then brought back a needle, some yarn and some needle point backing for him to keep! The next day 12 Jan 2012, a 3rd grader Ashley, learned how to divide 1 by 7 (using short division), with her Mom involved also, and looked at the cyclic 6-digit pattern 1,4,2,8,5,7, 1,4,2,8,5,7.... They took home some of the yarn and backing, were going to pick up some needles and do their own infinite repeating decimals using the needle point, like this, with 2/7 or 3/7...

On the following Sunday 15 Jan 2012, Don worked with Sara, a 5th grader, who said she was going to study how to change a fraction to a decimal in school next (good timing by Don!). She did the division 2/7 using short division. Don showed her the 1/7 with the needle point. Immediately she asked Don if she could do the pattern with beads! It turns out she is very proficient using beading (is there a word like this?).- she has made necklaces and bracelets this way. She brought down her bead collection from upstairs in Don's house and they talked about what beads to use for the decmial digits (silver), the background (purple) and making a title with black letters on white beads.

This was a very exciting few days! Don will add the student (and parents) work when it comes in.

Ashley, a 3rd grader did this needle point of  3 cycles of 2/7 in green:

Terrific, Ashley!

Cody, a 6th grader, did the following needle point:

Fine job Cody!

Noah, a 5th grader, did this needle point of 3 cycles of  5/7

Fine job Noah!

There is something nice about seeing a color representation of the infinite repeating decimal in needle point!

We can add this to the Hands-on Materials Don uses with students