Day 3 ECM Book Work Reflection by https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4 Made with ♥ en-us 2021-06-15 13:46:00 UTC 2022-06-23 18:59:31 UTC hello@padlet.com What sticks with you from the reading? Why? brandon_g_mcmillan https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/1608263143 2021-06-15 18:37:26 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/1608263143 https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229101052 Using what students already know and asking questions to elicit student thinking about relationships in fraction equations. ]]> 2022-06-23 18:25:37 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229101052 Teachers were very intentional with their questions to guide students into finding the equivalency in the problems https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229102418 2022-06-23 18:28:15 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229102418 Stuck on... kae8517 https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229102613 intentional numbers that will produce equivalency in responses. ]]> 2022-06-23 18:28:38 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229102613 Using student background knowledge. https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103087 2022-06-23 18:29:36 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103087 You must be very intentional with your number choices in order to guide your students. https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103088 2022-06-23 18:29:36 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103088 Teachers were very strategic with number choices which guided the conversation to fraction equivalence. https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103147 2022-06-23 18:29:45 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103147 Yes, choosing numbers that will provide the most variety of equivalency https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103274 2022-06-23 18:30:00 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103274 Sharing reasoning even when teacher can see it helps students verbalize what they understand and gives others ideas in how to solve. https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103467 2022-06-23 18:30:23 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103467 Intro equivalence by... https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103731 Thinking about mathematical relationships the they knew to be true. ]]> 2022-06-23 18:30:55 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103731 Being intentional in your questioning allows the students to really analyze their work and their understanding. https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103900 2022-06-23 18:31:17 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229103900 https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229104115 Questioning students and having them share their ideas gives them the opportunity to verbalize their thinking and make connections. ]]> 2022-06-23 18:31:30 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229104115 https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229104624 I love how the teachers allowed the students to direct model and then, via a class discussion, led the students to make the connection to equivalent fractions while providing equations that matched their work. I also found the question at the end about which problem would provide the most equivalent fractions to be very helpful so that I am able to pick numbers strategically when presenting problems with fractions.]]> 2022-06-23 18:32:13 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229104624 *Decomposing* https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105255 The part about 6/9 = 
1/9 + 1/9 + 1/9 + 
1/9 + 1/9 + 1/9 
was really good. It shows how decomposing is related to division and helped the kids see that 3 ninths equals one third. ]]> 2022-06-23 18:32:35 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105255 https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105284 Representing students' thinking with fractional notation]]> 2022-06-23 18:32:39 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105284 Progression of Equations chelsea_schneider https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105376 You can progress through a series of t/f equations built upon what students are saying to continue to develop relational thinking and an understanding of equivalence. 
Addition --> multiplication --> equivalence
1/3+1/3=(1/9+1/9+1/9)+(1/9+1/9+1/9)
2 x 1/3 = 6 x 1/9
2/3=6/9]]> 2022-06-23 18:32:48 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105376 https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105390 2022-06-23 18:32:50 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229105390 Sharing students thinking is 👍 great https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229106239 2022-06-23 18:34:13 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229106239 This is awesome geraldine_murillo https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229106418 2022-06-23 18:34:33 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229106418 At this rate... we will definitely not be smarter than a 5th grader:) Guiding students to higher thinking (without them knowing) is pretty amazing! https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229121017 2022-06-23 18:59:31 UTC https://padlet.com/brandon_g_mcmillan/tmm6owig0r4btgm4/wish/2229121017