In this unit, students analyze the reflectional and rotational symmetry of polygons, as well as study the properties of regular polygons. Students investigate special quadrilaterals and their properties. These properties are used to prove that two lines are parallel. The properties of polygons and parallel lines have been studied informally in mathematics courses prior to Geometry. The Parallel Postulate is introduced in this unit and applied to prove that the sum of the measures of a triangle is 180 degrees. Honors students are introduced to two non-Euclidean geometries, spherical and hyperbolic. Students explore the relationship between the measures of the angles of triangles and the measures of their corresponding sides. Indirect measurement of the interior and exterior angles of convex and regular polygons, as well as the midsegments of triangles and trapezoids, are applied. Finally, the properties of geometric figures are verified using the coordinate plane and concepts of algebra.
Instructional Flow (PDF)
Description of the typical order of textbook sections and topics taught in the unit.
Unit 3 Standards for Geometry(PDF)
Explanation of what your child should understand by the end of each unit (enduring understandings), how he/she will get to that understanding (essential questions), and how he/she will be evaluated (indicators).
Content map for Geometry Unit 3 (PDF)
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