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This section focuses on the features of equations and graphs of circles. In this section, students work with circles in the coordinate plane and consider distance between points, equations, and features of circles.
In previous units, students defined a circle as the set of points equidistant from a given center. They connect this definition to their work with the Pythagorean...
In this section, students learn the relationships between measures of some different parts of circles. First, students analyze circle sectors and find sector areas and arc lengths. Students then investigate the relationships between angle measure, radius, and arc length to find unknown information about given circles. Next, students experience a progression of learning about the relationship between arc length and...
In this section, students learn to use circles to determine characteristics of triangles and other polygons. First, students work with circumscribed circles to find angle measures and properties of cyclic quadrilaterals. Students then use the circumscribed circle of a triangle, along with their understanding of perpendicular bisectors from previous units, to conclude that all three of the triangle’s perpendicular bisectors...