Goal: Think like a mathematician! Identify quantities and relationships in problem situations.
In a town election, the three candidates receiving the most votes were Malone, Lawton, and Spiros. Malone received 60 more than twice as many votes as Lawton. Spiros received 362 votes more than Lawton. In all, 2,430 votes were cast. [Who won the election?]
Source: Impact Mathematics Algebra and More Course 2
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This task was great!! The students LOVED working through the logic in this problem. It sparked great conversations when the students used the sentence frames, ” I saw…so I connected…”. The sentence frames are a great stepping stone for my small groups of students. It helps frame their thinking and gives them a path way into noticing relationships within the problem. I noticed that the “60 more than twice as many votes” were providing a road block for some of the students in my small group. This is where the sentence frames helped. In short, the capturing quantities routine has been a great tool for these students to have in their math tool box. They have the logic of the 3 reads under their belt, and now they have the concept that they should be finding relationships among quantities in problems to further their thinking.