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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.1

Compose and understand the coordinate plane.

  • 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.
  • 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)
  • 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 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.
  • 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.


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.