Strand: GEOMETRY (3.G)

Reason with shapes and their attributes (Standards 3.G.1–2).

Standard 3.G.2

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into four parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

• Area (elementary)
In this lesson students will find the area of rectangular shapes and irregular shapes with right angles.
• Geometric pictures of one half
This task presents students with some creative geometric ways to represent the fraction one half. The goal is both to appeal to students' visual intuition while also providing a hands on activity to decide whether or not two areas are equal. Students should be given paper models of each picture which they can fold or cut and rearrange so as to help visualize why the shaded and unshaded areas are equal.
• Halves, thirds, and sixths
The purpose of this task is for students to use their understanding of area as the number of square units that covers a region, to recognize different ways of representing fractions with area, and to understand why fractions are equivalent in special cases.
• Representing Half of a Circle
Given a number of pictures of circles with darkened areas, students are asked to decide if half of the circle is shaded. This task is meant for instructional purposes, and students should have access to multiple copies of the figures and be encouraged to experiment by cutting them and comparing the pieces.
• Single Fraction Pointer
This activity was designed to help students better understand fractions by practicing dividing a whole into a fraction and visualizing fractions on a number line.
• USBE Core Guide for Domain: Geometry (3G2)
This math guide provides academic vocabulary, instructional strategies, teacher resources, and assessment tasks for the Geometry domain.
• What Fraction of this Shape is Red?
This Teaching Channel video shows how students can explore part and whole by creating pattern block designs. (4 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 - Shannon Ference and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - DIANA SUDDRETH .
Email:  diana.suddreth@schools.utah.gov

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.