In this Grade 6 lesson from enVision Mathematics Chapter 7, students learn to represent three-dimensional solid figures using two-dimensional nets by unfolding shapes such as prisms and pyramids to identify their faces and surface area. Students practice drawing and interpreting nets to connect flat patterns with the solid figures they form. This lesson builds foundational skills for solving surface area problems within the broader context of area, surface area, and volume.
Section 1
Introduction to Nets: Drawing a Net for a Prism
A net is a two-dimensional pattern that can be folded to form a three-dimensional solid. To draw a net:
1) identify all faces of the prism,
2) arrange faces so they share edges appropriately,
3) ensure the pattern can fold into the original shape.
Section 2
Drawing a Net for a Pyramid
A net for a pyramid consists of one polygon that serves as the base and a set of triangular lateral faces. The number of triangular faces is equal to the number of sides of the base polygon.
To draw a net for a pyramid, begin by drawing its base shape, such as a square or a triangle. Next, attach one triangular face to each side of the base. Ensure the triangles are positioned so that when folded, their top vertices meet at a single point, which forms the apex of the pyramid. The shape of the base determines both the name of the pyramid and the number of triangular faces in its net.
Section 3
Identifying Prisms and Pyramids from Nets
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Section 1
Introduction to Nets: Drawing a Net for a Prism
A net is a two-dimensional pattern that can be folded to form a three-dimensional solid. To draw a net:
1) identify all faces of the prism,
2) arrange faces so they share edges appropriately,
3) ensure the pattern can fold into the original shape.
Section 2
Drawing a Net for a Pyramid
A net for a pyramid consists of one polygon that serves as the base and a set of triangular lateral faces. The number of triangular faces is equal to the number of sides of the base polygon.
To draw a net for a pyramid, begin by drawing its base shape, such as a square or a triangle. Next, attach one triangular face to each side of the base. Ensure the triangles are positioned so that when folded, their top vertices meet at a single point, which forms the apex of the pyramid. The shape of the base determines both the name of the pyramid and the number of triangular faces in its net.
Section 3
Identifying Prisms and Pyramids from Nets
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter