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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).
  • 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.
  • Battleship Using Grid Paper
    The purpose of this task is to give students practice plotting points in the first quadrant of the coordinate plane and naming coordinates of points. It could be easily adapted to plotting points with negative coordinates. It also provides teachers with a good opportunity to assess how well their students understand how to plot ordered pairs and identify the coordinates of points.
  • Battleships - Example
    Use this link as an example for "Battleship Using Grid Paper" activity.
  • Cartesian Coordinate System
    This lesson is designed to help students understand the Cartesian plane, specifically how to plot points, read coordinates and find the ratio of the rise over run for slope.
  • 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.
  • Coordinate Plane
    Definition with Examples
  • 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 Math Module 6: Problem Solving with the Coordinate Plane (EngageNY)
    In this 40-day module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems. Students use the familiar number line as an introduction to the idea of a coordinate, and they construct two perpendicular number lines to create a coordinate system on the plane. Students see that just as points on the line can be located by their distance from 0, the planes coordinate system can be used to locate and plot points using two coordinates. They then use the coordinate system to explore relationships between points, ordered pairs, patterns, lines and, more abstractly, the rules that generate them. This study culminates in an exploration of the coordinate plane in real world applications.
  • Grade 5 Mathematics
    In order to assist educators with the implementation of the Common Core, the New York State Education Department provides curricular modules in Pre-K-Grade 12 English Language Arts and Mathematics that schools and districts can adopt or adapt for local purposes.
  • 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.
  • Grade 5 Unit 7: Geometry and the Coordinate Plane (Georgia Standards)
    Students should be actively engaged by developing their own understanding. Mathematics should be represented in as many ways as possible by using graphs, tables, pictures, symbols, and words. Appropriate manipulatives and technology should be used to enhance student learning. Students should be given opportunities to revise their work based on teacher feedback, Peer feedback, and metacognition which includes self-assessment and reflection. Students need to write in mathematics class to explain their thinking, talk about how they perceive topics, and justify their work to others.
  • Graphing Points on a Coordinate Plane: Harry's Feet Compete
    This Cyberchase video follows Harry as he decides to get fit and establish a workout program. He charts his progress on a graph. The classroom activity consists of a ball-balancing game in which students graph their attempts. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Hoop Dream: Use a Diagram to Solve Real-World Math Problems
    Students learn about creating diagrams and plotting points on a plane by watching these short videos about kids playing a game involving making baskets. They then play a game where they plot points on a plane. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Horizontal and Vertical Distances on the Cartesian Graph
    In this activity students place marine animals on a Cartesian graph and then determine the horizontal and vertical distance between them. The classroom activity builds on the student's understanding of distances between points on a Cartesian graph. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • IXL Game: Graph points on a coordinate plane
    This game is designed to help fifth graders learn to graph points on a coordinate plane. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
  • Locating Points on the Cartesian Graph
    In this activity students use logic and clues to plot the location of marine animals on a Cartesian graph. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Maze Game
    In this applet students move a robot through a mine field by using coordinates on the Cartesian Plane in order to remove the land mines.
  • Meerkat Coordinate Plane Task
    The purpose of this task is for students to answer questions about a problem situation by drawing and interpreting the meaning of points that are in the first quadrant of the coordinate plane.
  • 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.