Geometry

Lesson 17

Math

Unit 6

7th Grade

Lesson 17 of 21

Objective


Find the surface area of right prisms.

Common Core Standards


Core Standards

  • 7.G.B.6 — Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Foundational Standards

  • 6.G.A.4

Criteria for Success


  1. Use a net of a three-dimensional figure to determine the surface area.
  2. Find efficient ways to determine surface area of right prisms by analyzing the structure of the shapes and their nets (MP.7).

Tips for Teachers


Lessons 17 and 18 engage students in finding the surface area of prisms and pyramids. Students leverage their skills with numerical expressions to organize and represent their work in finding the surface area. Lesson 17 focuses on prisms and Lesson 18 focuses on pyramids. In Lesson 21, students will revisit surface area as it compares to volume in real-world contexts.

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Anchor Problems


Problem 1

A trapezoidal prism and its net are shown below.

a.   Complete the net by labeling all of the dimensions.

b.   Find the surface area of the prism.

c.   What are the dimensions of the long rectangle, composed of 4 smaller rectangles, in the net? How are the dimensions related to the trapezoid base?

Guiding Questions

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Problem 2

Imagine that a piece of the rectangular prism is removed. Determine the surface area of both pieces. 

Guiding Questions

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References

EngageNY Mathematics Grade 7 Mathematics > Module 6 > Topic D > Lesson 23Example 1b

Grade 7 Mathematics > Module 6 > Topic D > Lesson 23 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Problem Set

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Target Task


Find the surface area of the prism below. All measurements are in centimeters.

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.

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Lesson 16

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Lesson 18

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Angle Relationships

Topic B: Circles

Topic C: Building Polygons and Triangles

Topic D: Solid Figures

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