The purpose of the lesson is for students to understand that surface area is the area of all of the faces of the three-dimensional shape. Students will develop techniques for computing surface area by breaking the three-dimensional shape into nets.
Note: Due to the nature of the lesson, the three-dimensional shapes chosen should be: rectangular prism, cube, triangular prism, & rectangular pyramid. These shapes will be the easiest to manipulate using square graph paper.
At the end of this lesson, students will be able to
understand all characteristics of three-dimensional shapes.
calculate surface area for simple three-dimensional shapes using nets and reasoning skills.
Student Target
“I can ...
draw nets of cubes, rectangular and triangular prisms."
calculate the surface area of cubes, and rectangular and triangular prisms using nets of the shapes."
CCR Focus Standards
Geometry - Level C
Understand that attributes belonging to a category of two- dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
Geometry - Level B
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
Supporting Standards
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Standards for Mathematical Practice
KYAE Employability Standards
E.7 Accurately analyze information and respond appropriately.
E.8 Interact with others in a professional manner.
