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How to Connect Ordered Pairs to Make Geometric Shapes

Ordered pairs can connect to make rectangles, triangles, hexagons or any other polygon. These pairs of numbers can even connect to make Christmas trees or shooting stars. The coordinate grid is a horizontal number line, known as the x-axis, and a vertical number line, the y-axis. The two number lines cross at zero on both number lines. Each ordered pair is comprised of two numbers in parentheses, separated by a comma, such as (3,10). The numbers tell you how far over and how far up to go on each axis.

Things You'll Need

  • Coordinate grid paper
  • Ruler
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Instructions

    • 1

      Draw the x-axis using a ruler. The x-axis travels horizontally across the plane. The line should be approximately in the middle of the paper. The line should have arrows on each end to signify it is a line. Label the middle grid line "0." Label the grids to the right of zero starting with one and continuing to at least 13 for the geometric shape projects. Label the grids to the left of the zero starting with negative one and continuing to -13.

    • 2

      Draw the y-axis. The y-axis is a vertical line that crosses the x-axis at zero. Label the grids above zero starting with one and continuing to 13. Label the grids below zero with negative numbers.

    • 3

      Draw a geometric shape on the grid. Patterns of polygons work well. Lay the pattern on the grid and trace around it.

    • 4

      Make a list of the ordered pairs that make up the polygon. Start the list with any point on the grid. Name the x-axis number first and then the y-axis. Follow the line that leads from this point to the next point. List that ordered pair. Continue until each ordered pair is listed.

    • 5

      Give the list of ordered pairs to a classmate, along with a blank coordinate grid. The classmate plots the points in the order listed, connecting each point to the point plotted previously. Upon completion, both coordinate grids should represent the same polygon.

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