Polygons Benchmark Students investigate a variety of polygons to determine measures and properties, including fundamental relationships between angles and segments. Indicators Identify and classify different types of polygons. Informally derive and apply formulas for the area of regular polygons. Find perimeters and areas of figures that can be divided into polygonal and circular regions. Circles Benchmark Students investigate properties of circles focusing on relationships among angles, arcs, lines, and chords.
Indicators Use appropriate vocabulary to identify and describe circles and their related parts.
Apply relationships among tangents, radii, and chords to solve problems involving measurement in circles. Determine circumference, arc length, and areas of circles, sectors, and segments. Solids Benchmark Students investigate polyhedrons by extending concepts of plane geometry to three space. Indicators Sketch polyhedrons and identify relevant parts. Investigate right triangles in cones, pyramids, and spheres.