Geometry

Lesson 14

Math

Unit 7

6th Grade

Lesson 14 of 17

Objective


Describe features of and identify nets that match prisms and pyramids.

Common Core Standards


Core Standards

  • 6.G.A.4 — 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.

Criteria for Success


  1. Understand that a pyramid is a closed three-dimensional figure that has one polygon base with triangle faces extending from the base and meeting at a common vertex
  2. Understand that a prism is a closed three-dimensional figure that has two parallel, same-polygon bases that are connected to each other by rectangles.
  3. Understand that a prism or pyramid can be “unfolded” and represented as a two-dimensional net.
  4. Identify three-dimensional figures from their corresponding nets.

Tips for Teachers


SERP Poster Problems’ “Knowing Nets” includes a helpful video in Slide 1 of a box being opened into a net and then refolded.

Lesson Materials

  • Template: Nets (1 per student)
  • Three-dimensional solids (Teacher set) — We suggest purchasing a teacher set of folding nets for this lesson in order to model to students.
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Anchor Problems


Problem 1

A set of prisms and a set of pyramids are shown below.

a.   Compare and contrast the features you notice about prisms and pyramids. In particular, identify and compare the faces, edges, and vertices.

b.   Identify the base of each figure and name each figure.

c.   Describe how a pentagonal prism and a pentagonal pyramid are similar and different.

Guiding Questions

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References

Open Up Resources Photo: Grade 6 Unit 1 Lesson 1313.2: Prisms and Pyramids

Grade 6 Unit 1 Lesson 13 is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed Jan. 18, 2019, 4:04 p.m..

Problem 2

Your teacher will demonstrate the flattening and folding of a prism and a pyramid using a net. Observe how a prism and pyramid can be flattened into a two-dimensional form called a net. Observe how a two-dimensional net can be folded up to re-form the three-dimensional polyhedron. Think about the shapes and features of the net that connect back to the three-dimensional figure. 

Then, explore with your own nets using the nets provided in Nets. For each net, answer the following questions:

a.   Do you think this net will fold into a prism, a pyramid, or neither? Why or why not?

b.   If so, what is the name of the shape?

c.   Test out your answers by folding the net into a three-dimensional figure.

Guiding Questions

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Problem 3

Match each net below to its corresponding three-dimensional figure. Name each three-dimensional figure. 

Guiding Questions

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Problem Set

Fishtank Plus Content

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task


Determine if each claim is accurate. Explain why or why not.

a.   Claim: This net will fold into a square prism.

b.   Claim: This net will fold into a pentagonal pyramid.

Student Response

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Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Examples where students match nets to solids and solids to nets; ask students to name the solids
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Lesson 13

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Lesson 15

Lesson Map

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Topic A: Area of Triangles, Quadrilaterals, and Polygons

Topic B: Polygons in the Coordinate Plane

Topic C: Volume of Rectangular Prisms

Topic D: Nets and Surface Area

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