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Pt1420 Unit 4 Assignment

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All three of my tasks were selected from Teaching Fractions and Ratios for Understanding. The first task that I implemented with my small group was called Mr. Tall and Mr. Short, which was chosen as a way to develop and assess both Relative Thinking and Quantities and Change. In this problem, students are given measurements of two individuals in the unit of buttons, but only one of their measurements in the unit of paperclips. The problem is to find the other individuals measurement in paper clips. For Relative Thinking, students are required to use multiplicative logic to solve for a proportional change between units. It is very similar to a typical Relative Thinking problem involving growth of two objects, however, the change of units makes it also a good introductory task for Unitizing as they must understanding the difference and scales of the two units. For Quantities and Change, students must understanding how the measurements are changing between the objects and the units. The essential question is how much the measurement in paper clips changes depending on how much the …show more content…
Students are given an image showing a collection of objects and the amount of units represented. The problem is then to solve for how many individual objects would be represented by a given number of that unit. For Units and Unitizing, students practice working in uncomfortable or foreign units as well as alternating between composite units and their individual parts. Partitioning is utilized in the conversion of units and division into parts. Once a student determines the number of items in a single composite unit, they must partition the items by the given amount. It is also an example of quotitive partitioning in which one must determine how many shares of a certain size can be made out of given

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