Strand: GEOMETRY (6.G)

Solve real-world and mathematical problems involving area, surface area, and volume (Standards 6.G.1–4).

Standard 6.G.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.

• 2D Nets and 3D Decorative Boxes
Calculating the surface area of cardboard boxes is the focus of this interactive activity. The classroom activity takes this knowledge and asks the students for figure out how many square inches of wrapping paper is needed to wrap a gift. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• A Place in Space
In this lesson the student is asked to describe a point in space using coordinates.
• Boxed In and Wrapped Up
This lesson asks students to find the volume and surface area of a rectangular box and then convert it into a cubical box with the same volume.
• Chapter 5 - Mathematical Foundations (UMSMP)
This is Chapter 5 of the Utah Middle School Math: Grade 6 textbook. It provides a Mathematical Foundation for Geometry.
• Chapter 5 - Student Workbook (UMSMP)
This is Chapter 5 of the Utah Middle School Math: Grade 6 student workbook. It covers the following topics: Geometry.
• Determining Surface Area with Unit Blocks, Rulers, and Nets
In this video students are shown how to calculate the surface area of a prism. The classroom activity in the lesson requires that students apply this knowledge and measure the surface areas of real 3-Dl objects. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Geometry (6.G) - 6th Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Mathematics Grade 6 - Geometry.
• Grade 6 Unit 5: Area and Volume (Georgia Standards)
In this unit students will: Find areas of right, equilateral, isosceles, and scalene triangles, and special quadrilaterals. Find areas of composite figures and polygons by composing into rectangles and decomposing into triangles and other shapes. Solve real-world and mathematical problems involving area. Decipher and draw views of rectangular and triangular prisms from a variety of perspectives. Recognize and construct nets for rectangular and triangular prisms. Find the surface area of rectangular and triangular prisms by using manipulatives and by constructing nets.
• Great Modeling Tasks in Three Acts - File Cabinet
This surface area activity has students answer the question: How many stickies cover the cabinet?
• Nets for Pyramids and Prisms
The goal of this task is to work with nets for three-dimensional shapes and use them to calculate surface area.
• Surface Area and Volume
An online activity is the focus of this lesson plan to help students understand the concepts of surface area and volume.
• What's Fun About Surface Area?
In this Teaching Channel video an educator helps students construct an understanding of surface area. (7 minutes)

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen .

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.