VolumeWhen Is It Full?

Is the glass half full or half empty?

Objectives1.02 Use length, area, and volume of

geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

CFQsEssential Question: What is full?

Unit Questions:

Unit SummaryStudents will investigate the surface area and volume

of solids. First, they will learn to distinguish polyhedral from other solids and to classify polyhedral. Students will use nets to help them explore the surface area of pyramids, and use proportions involving circles to identify the surface area o cones. They will then develop methods for finding the volume of prisms and cylinders. Students will find the volume of pyramids and cones. After learning to find the surface area and volume of spheres, students will investigate similar solids, including scale factors and how surface area and volume relate to the dimensions of similar solids.

Produce- Based LearningStudents will design and construct a

geometric models of their of dream home using as many polyhedrons as possible. They will calculate the surface area and volume of each room. They will also answer real-life problems related to their dream house. For example, how much paint would you need to paint the kitchen?