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In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions. The last lesson in this section is optional because it offers additional opportunities to practice standards that are not a focus of the grade.
Let’s contrast circumference and area.
Let’s use circumference and area to design stained-glass windows.
In this section, students apply proportional reasoning to solve problems involving circumference. The section begins with students measuring squares. Students learn to take into account potential measurement error when deciding whether a list of related measurements could represent a proportional relationship.
Next, students investigate circles. They learn the terms radius, diameter, and circumference, as well as a more precise meaning...
In this section, students learn to calculate the area of a circle and apply this to solve problems. The section begins by reviewing how to decompose regions to calculate their area. Next, students use similar strategies to estimate the areas of various circles. They see that the relationship between the diameter and area of a circle is not proportional.
Then,...