The direct proportion and social arithmetic are difficult topics for students. The difficulty on the topic of direct proportion is that students make mistakes in adjusting the application of direct proportions. The difficulty of social arithmetic is a mistake in determining the conditions of profit, loss, or break even. Project-based learning is an innovation for teachers and can improve students’ thinking abilities. The characteristics of the project involve some topics. Teachers are expected to work together to create learning according to expectations by implementing a lesson study system. Project-based learning that takes a long time can be overcome by using Edmodo because they can do learning without space and time limits. This research aims to determine the role of the learning trajectory in project-based learning “trade in school cooperation”. This study uses a design research method of validation studies type in seventh grade students of junior high school in Palembang. The results are the role of project-based learning in resolving direct proportions and social arithmetic through learning trajectory such as students getting more training in problem-solving procedures, better understanding the relationship of numbers proportions, and to achieve understanding in decisions of profit, loss, and breakeven situations.
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