Lesson Day 1: In the lesson attached below, students will create a cone from a circle by cutting out a wedge of a given degree. Students learn to calculate different measurements of the cone such as base, radius, height, and lateral height.
8.0 Students know, derive, and solve problems involving perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.
9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and student commit to memory the formulas for prisms, pyramids, and cylinders.
15.0 Students use the Pythagorean Theorem to determine distance and find missing lengths of sides of right triangles.
Note: the handout is at the beginning of the attachment; the lesson guidelines are in the middle; the cut-outs are end.
Lesson Day 2: This is a continuation of the last activity (see main topic above). Students try to find the greatest volume they can obtain from cutting out different degree wedges out of a circle. Students then test their calculations by pouring granules into their cone.