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Mathematics - Elementary Curriculum Mathematics Grade 5
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Strand: GEOMETRY (5.G)

Graph points on the coordinate plane to solve real-world and mathematical problems in quadrant one (Standards 5.G.12). Classify two-dimensional figures into categories based on their properties. (Standards 5.G.34).

Standard 5.G.4

Classify two-dimensional figures in a hierarchy based on properties.

  • Always, Sometimes, Never
    The purpose of this task is to have students reason about different kinds of shapes based on their defining attributes and to understand the relationship between different categories of shapes that share some defining attributes.
  • An Introduction To Quadrilaterals
    In this lesson the student is introduced to parallelograms, rectangles, and trapezoids and practices creating various types of quadrilaterals.
  • Classifying Quadrilaterals
    This video teaches students strategies to identify the properties of quadrilaterals. The emphasis is on parallelograms. Students create posters explaining the properties of quadrilaterals in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Classifying Triangles by Angles and Sides
    A middle-school student named Julia explains the classification of triangles by the use of angle measurements and side lengths in this introductory video. Students then take their understanding and use it in a scavenger hunt around the classroom finding triangles of different types. 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 (5.G) - Fifth Grade Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Fifth Grade Mathematics - Geometry (5.G)
  • Geometry and Classification of 2D Figures: Bianca Busts a Move
    After breaking a friend's table while dancing on it, Bianca must use her knowledge of measurement and geometry to get a piece of wood to fix it. In the classroom activity students create tabletop designs in order to use their knowledge of perimeter and area. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Grade 5 Math Module 5: Addition and Multiplication with Volume and Area (EngageNY)
    In this 25-day module, students work with two- and three-dimensional figures. Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms. The second half of the module turns to extending students understanding of two-dimensional figures. Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths. They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes. This module fills a gap between Grade 4's work with two-dimensional figures and Grade 6's work with volume and area.
  • Grade 5 Unit 5: 2D Figures (Georgia Standards)
    In this unit students will identify similarities and differences among two-dimensional figures. Reason about attributes (properties) of two-dimensional figures. Have experiences discussing properties of two-dimensional figures. Build upon their fourth-grade knowledge and create a hierarchy diagram. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
  • Tessellate!
    This lesson and activity will help the student understand how to classify two-dimensional figures based on properties. The student manipulates shapes to create now polygons.
  • What do these shapes have in Common?
    This task asks students to classify shapes based on their properties. The task itself is straightforward, but there are a number of opportunities to present this task in class and push the level of discussion and reasoning.
  • What is a Trapezoid? (part 2)
    The purpose of this task is for students to compare different definitions for trapezoids.


UEN logo 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 Specialists - Trish  French or Molly  Basham and see the Mathematics - Elementary 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.