Can you identify the basic geometric shapes in this living room? Given edge length measurements, can you find the area of the block panels, the approximate volume of the couch, or the surface area of the coffee table? To do this, you need spatial visualization skills and modeling skills. These are very important skills that students will need to develop in order to interpret and describe physical environments for solving tasks in everyday life.

The main idea of this lesson progression, intended for a high school Geometry class, is for students to develop spatial visualization and modeling skills to solve problems with real-world, 3-dimensional figures. It consists of three separate lessons, a formative assessment in between the lessons, and a summative assessment at the end of the sequence. The lessons gradually teach students the necessary foundational skills, from visualizing 2D and 3D figures as a composition of basic rectangles and triangles, to calculating the area, surface area, and volume of the figures. The assessments will provide the necessary feedback for both the students and teacher to determine what students know and need to review in order to reach the CCSS-Math standards aligned to this lesson progression.