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Contents || Math Lessons
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[Materials] [Length] [Area] [Pick's Theorem] [Dot Paper] [Epilogue]

[Lines] [Squares] [Rectangles] [Parallelograms] [Right Triangles] [Bibliography]


    Find all line segments

Objectives

Materials

Warm-up activities

  1. Make a horizontal line segment that touches 3 pegs. What is the length of this line segment?
  2. Make another line segment that touches 3 pegs, but with different length. Is the length of this new line segment less than or greater than the previous one?
  3. Can you find a third line segment that touches 3 pegs, but with length different than the other two. Is the length of this line segment less than or greater than the previous ones?
  4. Find the shortest line segment on your geoboard.
  5. Find the next shortest line segment.
  6. Find the longest line segment on your geoboard.
  7. Find the next longest line segment.

Main activity

Homework

Extended activities

  1. On a 5 x 5 geoboard, there are five line segments with length greater than 4 units. Can you find them?
  2. Find three line segments with length less than 3 units. Are there others?
  3. Find two line segments with length between 3 and 4 units.
  4. With two rubber bands, make two line segments that touch a total of 9 pegs.
  5. Make two parallel line segments that touch a total of 9 pegs.
  6. Make two perpendicular line segments that touch a total of 9 pegs.
  7. Make two intersecting line segments that touch a total of 9 pegs, but are not perpendicular.
  8. Make two congruent line segments that touch a total of 9 pegs. Do these line segments intersect?
  9. Make two congruent line segments that touch a total of 8 pegs. Do these line segments intersect?
  10. Continue each pattern on a 10 x 10 geoboard:
  11. How many different line segments are there on a 10 x 10 geoboard?
  12. Order each of the line segments in the previous activity by length.
 


[Materials] [Length] [Area] [Pick's Theorem] [Dot Paper] [Epilogue]

[Lines] [Squares] [Rectangles] [Parallelograms] [Right Triangles] [Bibliography]


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The Math Forum * * Tom Scavo * * 3 August 1997

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