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In this lesson, students compute scale factors and unit rates associated with ratios of fractions. They solve problems involving constant speed where the distance traveled and elapsed time are both given as fractional values. As students make sense of these more complicated problems, they can apply representations and strategies that they learned previously for working with ratios (MP1, MP7).
The last activity is optional because it provides an opportunity for additional practice scaling a figure with fractional side lengths. This activity works best when each student has access to a device that can run the applet because they will benefit from seeing the relationship in a dynamic way.
Let’s calculate some rates with fractions.