similarity transformations to decide if two figures were similar. G.C.2 Identify and In future mathematics courses, students: In 4th grade, students: describe will use the relationships established by this learn the concept of angle measure in degrees. relationships among standard in more complex modeling situations. inscribed angles, radii, and chords. In 5th grade, students: G.C.3 Construct the In future mathematics courses, students: inscribed and classify two-dimensional shapes based on will use the relationships established by this circumscribed their properties. standard in more complex modeling situations. circles of a triangle, In 7th grade, students: and prove use facts about supplementary and properties of angles complementary angles to solve problems. for a quadrilateral inscribed in a circle. G.C.5 Derive using In Algebra II, students will: In 4th grade, students: similarity the fact understand radian measure of an angle as the learn the concept of angle measure in degrees. that the length of length of the arc on the unit circle subtended by In 7th grade, students: the arc intercepted the angle. use formulas for the area and circumference of by an angle is a circle to solve problems. proportional to the In 8th grade, students: radius, and define describe a sequence that exhibits the similarity the radian measure between two similar two-dimensional figures. of the angle as the constant of proportionality;
similarity transformations to decide if two figures were similar. In 4th grade, students: learn the concept of angle measure in degrees. G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. In future mathematics courses, students: will use the relationships established by this standard in more complex modeling situations. In 5th grade, students: classify two-dimensional shapes based on their properties. In 7th grade, students: use facts about supplementary and complementary angles to solve problems. G.C.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. In future mathematics courses, students: will use the relationships established by this standard in more complex modeling situations. In 4th grade, students: learn the concept of angle measure in degrees. In 7th grade, students: use formulas for the area and circumference of a circle to solve problems. In 8th grade, students: describe a sequence that exhibits the similarity between two similar two-dimensional figures. G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; In Algebra II, students will: understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Geometry_U5_UP_Circles_with_and_Without_Coordinates_jan_11.docx