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K–12 teaching and learning · from the UNC School of Education

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  • Human coordinate graph: Students will actively learn how to plot ordered pairs on a coordinate plane. They will also learn how to connect ordered pairs to graph a picture.
  • Translations, reflections, rotations: This lesson will allow students to explore translations, reflections, and rotations using a resource of Shodor Education Foundation, Inc. Permission has been granted for the use of the materials as part of the workshop Interactivate Your Math Students. Students explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation. (Italics are a direct quote from Shodor.org.)
  • Coordinate plane artwork: For this lesson students will go to the computer lab and use the General Coordinate Game applet created by the Shodor Foundation to obtain a more specific understanding of the coordinate plane, its parts, and how it can be used to graph points. Afterward, the students will practice using the coordinate plane by drawing a picture on a coordinate plane and then writing out directions (using coordinates) for that picture to be replicated exactly by another student, who will not see the picture but will follow the directions.

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Learning outcomes

Students will:

  • locate given points on a grid map.
  • name given points on a grid map.

Teacher planning

Time required for lesson

45 minutes

Materials/resources

  • Rectangular Tables or taped off rectangles on the floor (one for each group of 6 students)
  • Masking Tape (colored tape if available)
  • Candy
  • Post-it-Notes
  • Index Cards

Pre-activities

Teacher will use masking tape to create a grid map on the tables. There should be at least 4 horizontal lines and 6 vertical lines. Post-it notes will be used to label each line. Candy will be placed on various coordinates on the grid map. This can also be done on an area on the floor if tables are not available. Teacher will make game cards by putting each possible coordinate point onto individual index cards.

Activities

  1. Students will name points on which there is candy as a group.
  2. The teacher (or other student if used as a center activity) will call out various points using the index cards. Students will take turns locating the points. If there is a piece of candy at the point, the student may take it. All students should get several turns to ensure that everyone gets a chance at a piece of candy.
  3. Students will then write the rules for the game (ie., the first number means count across; the second number means count up) in their own words.

Assessment

  • Teacher observation of naming points correctly.
  • Teacher and peer observation of students locating points throughout the game.
  • Written application of the steps in point location.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 3

  • Goal 3: Geometry - The learner will recognize and use basic geometric properties of two- and three-dimensional figures.
    • Objective 3.02: Use a rectangular coordinate system to solve problems.
      • Graph and identify points with whole number and/or letter coordinates.
      • Describe the path between given points on the plane.