Students will expand their understanding of surface area and volume by identifying the shapes that make up the faces of prisms and pyramids, and will move beyond filling rectangular prisms with cubes toward calculating volume of rectangular and nonrectangular prisms by finding the area of the base and multiplying it by the height of the prism. Students will explore the structure of threedimensional shapes beyond the visible faces to include identifying the shape of a cross sectional plane of the figure.
Key Concepts:
 Prisms can have faces that are shapes other than rectangles.
 Surface area and volume have the same meaning for nonrectangular prisms and pyramids as for rectangular prisms.
 Slicing a threedimensional figure results in a twodimensional face.
Prior Knowledge Needed:
 Classifying twodimensional geometric figures; (Grade 5, Unit 11 5.G.B.34)
 Problem solving with area of twodimensional shapes; (Grade 6, Unit 10, 6.G.A.1 6.EE.A.2.c)
 Problem solving with volume and surface area; (Grade 6, Unit 11, 6.G.A.24, 6.EE.A.2.c)
Units on the Horizon:
 Scale Drawings; Grade 7, Unit 13
 Geometric Constructions; Grade 7, Unit 14
 Volume of cones, spheres and cylinders; Grade 8, Unit 14
Lessons

Lesson objective: Extend understanding of threedimensional shaped figures from rectangular prisms to nonrectangular prisms. Students bring prior knowledge of threedimensional figures from CCSS.5.MD.C.3.B. This prior knowledge is extended to faces of ...

Lesson objective: Identify the shapes used to make up a threedimensional figure. This lesson prepares students to work with volume of threedimensional figures. Images of threedimensional figures are used here because it supports students ability to u...

Lesson objective: Extend the concept of volume of rectangular prisms to nonrectangular prisms. Students bring prior understanding of volume and knowledge of using the formulas V = B * h and V = l * w * h to find the volume of rectangular prisms from CC...

Lesson objective: Practice finding the surface area of prisms and pyramids. This lesson provides an opporutiny to practice findhing surface area. Drawings of threedimensional figures are used here because they allow students to understand the propertie...

Lesson objective: Practice finding the volume of nonrectangular prisms. This lesson helps to build skill with finding volumes of prisms. Images of threedimensional figures are used here because it supports understanding the properties of a threedimen...

Lesson objective: Find the volume of regular pyramids with rectangular and triangular bases. This lesson helps to build skill with finding volumes of pyramids. Images of threedimensional figures are used here because they support understanding the prop...

Lesson objective: Apply knowledge of surface area to create pyramids with limited surface area. This lesson provides an opportunity for students to apply their knowledge and understanding of surface area to a reallife situation. Students are asked to d...

Lesson objective: Apply knowledge of volume of prisms. This lesson provides an opportunity for students to apply their knowledge and understanding of volume of prisms to a reallife situation. Students are asked to find the total volume of two boxes of ...

Lesson objective: Understand that slicing a threedimensional figure creates a new twodimensional face. Students bring prior knowledge of using nets to represent threedimensional figures from CCSS 6.G.A.4. This prior knowledge is extended to threedim...

Lesson objective: Identify the shape of the twodimensional face created when a threedimensional figure is sliced. This lesson helps to build spatial reasoning by slicing threedimensional figures. Drawings are used here because they represent both thr...