## Japanese Lesson Study## Thursday, July 19We each presented problems we thought would make good openers for our lesson. We decided on one, and went on to detail the activities we wanted the students to participate in. We ended with an outline of our sample lesson: intro: ask question ask students how they solved it and bring out representations‹students make graphs dev 1. Questions relating ³inverse points² and midpoints Discovery: midpoints lie on y = x Ask for conjectures And proof ask how do we know? Vocab‹be sure to mention: reflection over y = x‹how do we know it¹s a reflection--folding Graphs and inverse functions Dev. 2 Give linear function rule f Kids‹sketch graph Reflect some points over y = x (by folding) Make line and find a function rule which corresponds to the graph g Verify that f and g are inverse functions Find a function rule for time in terms of bacteria PCMI@MathForum Home || IAS/PCMI Home
With program support provided by Math for America This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. |