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Solve real-world and mathematical problems involving area, surface area, and volume.
1.
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

• Area
This lesson is designed to help students be able to calculate the area of a random shape on a grid, explain the correlation between the size of the perimeter and the number of different possible areas that can be contained within that perimeter.
• Area Explorations
In this lesson, students will explore the area of irregular shapes to find multiple different methods for calculating area
• Pentagon Puzzles
By deconstructing pentagons into triangles, students in this activity learn how to calculate the area of pentagons.
• 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.
• Surface Area of Prisms
In this lesson students will understand surface area and how solve for the surface area of triangular prisms.
• Table for 22: A Real-World Geometry Project
This Teaching Channel video has students apply knowledge of area and perimeter to solve real-world problems. This site provides a lesson plan and student handouts. (13 minutes)
• Triangle Area
This interactive lesson plan will help students understand how to find the area of a right triangle.
• Triangle Explorer
The applet in this lesson allows students to draw triangles and calculate their area.
• USOE Curriculum Guide (6G1)
This curriculum guide was developed by USOE and Utah educators.
• What's Fun About Surface Area?
In this Teaching Channel video an educator helps students construct an understanding of surface area. (7 minutes)

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 Office 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 These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Office of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.