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2009 MATHEMATICS STANDARDS OF LEARNING TRAINING INSTITUTES

2009 MATHEMATICS STANDARDS OF LEARNING TRAINING INSTITUTES. GEOMETRY. Virginia Department of Education. Geometry. Major Changes. Content moved to grades 6-8 Complementary, supplementary, and vertical angles Content added

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2009 MATHEMATICS STANDARDS OF LEARNING TRAINING INSTITUTES

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  1. 2009 MATHEMATICS STANDARDS OF LEARNING TRAINING INSTITUTES GEOMETRY Virginia Department of Education

  2. Geometry Major Changes • Content moved to grades 6-8 • Complementary, supplementary, and vertical angles • Content added • Equation of circle given coordinates of center and point on circle • Reorganization of reporting categories

  3. Geometry Reporting Category Changes • Old reporting categories • Lines and Angles • Triangles and Logic • Polygons and Circles • Three-Dimensional Figures • Coordinate Relations and Transformations • New reporting categories • Reasoning, Lines, and Transformation • Triangles • Polygons and Circles • Three-Dimensional Figures

  4. Geometry

  5. Geometry Standard G.12 • The student, given the coordinates of the center of a circle and a point on the circle, will write the equation of the circle. From the proposed Curriculum Framework Standard form for the equation of a circle is where the coordinates of the center of the circle are (h, k) and r is the length of the radius.

  6. Geometry Proposed Curriculum Framework G.12 • Identify the center, radius, and diameter of a circle from a given standard equation. • Use the distance formula to find the radius of a circle. • Given the coordinates of the center and radius of the circle, identify a point on the circle. • Given the equation of a circle in standard form, identify the coordinates of the center and find the radius of the circle. • Given the coordinates of the endpoints of a diameter, find the equation of the circle. • Given the coordinates of the center and a point on the circle, find the equation of the circle.

  7. Geometry Sample Activity for G.12 Given the endpoints of the diameter of a circle, (4, -2) and (6,8): 1. Find the center of the circle. 2. Find the radius or the circle. 3. Write the equation of the circle in standard form.

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