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Unit: Proportional Reasoning

 

Students work with an applet that allows them to run races between two cars by entering values for each car’s distance and time. They explore the effect on the cars’ speeds by first working with one quantity and then changing both distance and time. Through a series of diagram-construction activities, they form a ratio, iterate and split ratios, and create a unit ratio. Students move from reasoning additively to forming multiplicative comparisons.