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one was not so much focused on the patterns of numbers increasing or decreasing, but instead found that if you switched the whole number and tenths, the number would also be hit by a multiple of 0.3. Interesting to figure out why that works and when that doesn't work. They left REALLY excited to keep working on this one. How much do I love the "I thought of this!" next to it!https://kgmathminds.com/wp-content/uploads/2015/04/img_0135_2.jpgIMG_0135_2https://kgmathminds.com/wp-content/uploads/2015/04/img_0134_2.jpgIMG_0134_2https://kgmathminds.com/wp-content/uploads/2015/04/img_0133_2.jpgIMG_0133_2https://kgmathminds.com/wp-content/uploads/2015/04/img_0132_2.jpgIMG_0132_2There is a beautiful statement in here that says she knew 0.3 is 10% of 3 because between each whole number there are ten 0.3's. 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AM2017-10-15T12:22:23+00:00monthlyhttps://kgmathminds.com/2014/12/02/always-sometimes-never-year-2-part-2/https://kgmathminds.com/wp-content/uploads/2014/12/img_8260_2.jpgIMG_8260_2https://kgmathminds.com/wp-content/uploads/2014/12/img_8259_2.jpgIMG_8259_2https://kgmathminds.com/wp-content/uploads/2014/12/img_8258_2.jpgIMG_8258_2https://kgmathminds.com/wp-content/uploads/2014/12/img_8257_2.jpgIMG_8257_2https://kgmathminds.com/wp-content/uploads/2014/12/img_8256_2.jpgIMG_8256_2https://kgmathminds.com/wp-content/uploads/2014/12/img_8255_2.jpgIMG_8255_2https://kgmathminds.com/wp-content/uploads/2014/12/img_8254_2.jpgIMG_8254_2https://kgmathminds.com/wp-content/uploads/2014/12/img_8253_2.jpgIMG_8253_22017-10-15T12:22:05+00:00monthlyhttps://kgmathminds.com/2014/12/06/fraction-flexibility-in-number-talks/https://kgmathminds.com/wp-content/uploads/2014/12/img_8300.jpgIMG_83002017-10-15T12:21:41+00:00monthlyhttps://kgmathminds.com/2014/08/24/professional-books-mtboschallenge/2017-10-15T12:21:10+00:00monthlyhttps://kgmathminds.com/2014/09/12/why/https://kgmathminds.com/wp-content/uploads/2014/09/4.jpg4https://kgmathminds.com/wp-content/uploads/2014/09/2.jpg2https://kgmathminds.com/wp-content/uploads/2014/09/1.jpg12017-10-15T12:20:42+00:00monthlyhttps://kgmathminds.com/2014/08/12/aurasma-math-work-with-decimals/https://kgmathminds.com/wp-content/uploads/2014/08/p6.jpegp6https://kgmathminds.com/wp-content/uploads/2014/08/p5.jpegp5https://kgmathminds.com/wp-content/uploads/2014/08/p4.jpegp4https://kgmathminds.com/wp-content/uploads/2014/08/p3.jpegp3https://kgmathminds.com/wp-content/uploads/2014/08/p2.jpegp2https://kgmathminds.com/wp-content/uploads/2014/08/p1.jpegp1https://kgmathminds.com/wp-content/uploads/2014/08/aur.jpgaur2017-10-15T12:19:52+00:00monthlyhttps://kgmathminds.com/2014/07/26/student-led-number-talk/https://kgmathminds.com/wp-content/uploads/2014/07/img_4221.jpgIMG_4221https://kgmathminds.com/wp-content/uploads/2014/07/img_4220.jpgIMG_42202017-10-15T12:18:59+00:00monthlyhttps://kgmathminds.com/2014/07/22/inspired-thoughts-on-number-talks/2017-10-15T12:18:40+00:00monthlyhttps://kgmathminds.com/2014/04/28/decimal-multiplication/2017-10-15T12:18:17+00:00monthlyhttps://kgmathminds.com/2014/02/19/decimals-in-a-one-frame/https://kgmathminds.com/wp-content/uploads/2014/02/img_3339.jpgIMG_3339Understand the thinking, just need to be sure to focus on the whole being broken into 20ths vs 10ths, not 20 and 10.https://kgmathminds.com/wp-content/uploads/2014/02/img_3367.jpgIMG_3367https://kgmathminds.com/wp-content/uploads/2014/02/img_3355.jpgIMG_3355She had to get her Fun Dip finger in the pic:)https://kgmathminds.com/wp-content/uploads/2014/02/img_3352.jpgIMG_3352This one is great because she realized she made a mistake as she was trying to disprove another answer. Then the reason that 9+3 is more than 10 so .9 +.3 has to be more than one. Interesting to revisit later. https://kgmathminds.com/wp-content/uploads/2014/02/img_3341.jpgIMG_3341https://kgmathminds.com/wp-content/uploads/2014/02/img_3350.jpgIMG_3350The mistake I was expecting.https://kgmathminds.com/wp-content/uploads/2014/02/img_3343-version-2.jpgIMG_3343 - Version 2This equation was great!https://kgmathminds.com/wp-content/uploads/2014/02/img_3342.jpgIMG_3342https://kgmathminds.com/wp-content/uploads/2014/02/img_3338.jpgIMG_3338Loved how they visualized the dot moving to make the whole. https://kgmathminds.com/wp-content/uploads/2014/02/7.jpg72017-10-15T12:17:58+00:00monthlyhttps://kgmathminds.com/2014/03/18/fraction-to-decimal-division-table-noticings/https://kgmathminds.com/wp-content/uploads/2014/03/img_3605.jpgIMG_3605https://kgmathminds.com/wp-content/uploads/2014/03/img_3604.jpgIMG_3604https://kgmathminds.com/wp-content/uploads/2014/03/img_3603.jpgIMG_3603https://kgmathminds.com/wp-content/uploads/2014/03/img_3602.jpgIMG_3602https://kgmathminds.com/wp-content/uploads/2014/03/img_3662.jpgIMG_3662https://kgmathminds.com/wp-content/uploads/2014/03/img_3661.jpgIMG_3661https://kgmathminds.com/wp-content/uploads/2014/03/img_3660.jpgIMG_3660https://kgmathminds.com/wp-content/uploads/2014/03/img_3659.jpgIMG_3659https://kgmathminds.com/wp-content/uploads/2014/03/img_3658.jpgIMG_3658https://kgmathminds.com/wp-content/uploads/2014/03/img_3657.jpgIMG_36572022-10-01T16:24:57+00:00monthlyhttps://kgmathminds.com/2017/10/14/ccssmashup-fractions/https://kgmathminds.com/wp-content/uploads/2017/10/screen-shot-2017-10-14-at-8-59-26-am.pngScreen 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PM2017-10-14T21:43:20+00:00monthlyhttps://kgmathminds.com/2015/03/19/flexibility-efficiency-or-starting-from-scratch/https://kgmathminds.com/wp-content/uploads/2015/03/t5.jpgt5https://kgmathminds.com/wp-content/uploads/2015/03/t4.jpgt4https://kgmathminds.com/wp-content/uploads/2015/03/t3.jpgt3https://kgmathminds.com/wp-content/uploads/2015/03/tweet.jpgtweethttps://kgmathminds.com/wp-content/uploads/2015/03/t2.jpgt2https://kgmathminds.com/wp-content/uploads/2015/03/img_9627_2.jpgIMG_9627_2https://kgmathminds.com/wp-content/uploads/2015/03/img_9626_2.jpgIMG_9626_2https://kgmathminds.com/wp-content/uploads/2015/03/img_9625_2.jpgIMG_9625_2https://kgmathminds.com/wp-content/uploads/2015/03/img_9624_2.jpgIMG_9624_2https://kgmathminds.com/wp-content/uploads/2015/03/img_9623_2.jpgIMG_9623_22017-10-10T20:16:58+00:00monthlyhttps://kgmathminds.com/2017/08/25/explicit-planning-vs-explicit-teaching/https://kgmathminds.com/wp-content/uploads/2017/08/screen-shot-2017-08-25-at-10-13-27-am.pngScreen 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