Curriculum / Math / 6th Grade / Unit 7: Geometry / Lesson 14
Math
Unit 7
6th Grade
Lesson 14 of 17
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Lesson Notes
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Describe features of and identify nets that match prisms and pyramids.
The core standards covered in this lesson
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
SERP Poster Problems’ “Knowing Nets” includes a helpful video in Slide 1 of a box being opened into a net and then refolded.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
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.
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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..
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.
Match each net below to its corresponding three-dimensional figure. Name each three-dimensional figure.
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
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.
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.
Next
Create nets and use them to find surface area of three-dimensional figures.
Topic A: Area of Triangles, Quadrilaterals, and Polygons
Find the area of parallelograms.
Standards
6.G.A.1
Find the area of right triangles.
Find the area of acute triangles using height and base.
Find the area of any triangle using height and base.
Find the area of polygons using composition and decomposition.
Solve real-world and mathematical problems involving area of polygons.
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Topic B: Polygons in the Coordinate Plane
Draw polygons in the coordinate plane and find area and perimeter (Part 1).
6.G.A.3
Draw polygons in the coordinate plane and find area and perimeter (Part 2).
Solve real-world problems involving distance, area, and perimeter of polygons on and off the coordinate plane.
6.G.A.16.G.A.3
Topic C: Volume of Rectangular Prisms
Find volume of rectangular prisms with whole number and fractional edge lengths using unit and fractional unit cubes.
6.G.A.2
Determine the formulas for finding volume of rectangular prisms and use the formulas to solve for volume.
Apply volume concepts to solve real-world and mathematical problems, including finding missing measurements.
Apply volume concepts to solve real-world and mathematical problems, including finding volume of figures with composite prisms.
Topic D: Nets and Surface Area
6.G.A.4
Find the surface area of three-dimensional figures with and without nets.
Find surface area and volume in real-world problems.
6.G.A.26.G.A.4
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