A Math Forum Web Unit
Tom Scavo's

Parallelograms

_____________________________________
Contents || Math Lessons
_____________________________________
 


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

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


    Find all parallelograms

Objectives

Materials

Warm-up activities

  1. Make a rectangle with base 2 units on your geoboard. Without removing the rectangle, make a parallelogram with the same base.
  2. What is the area of the rectangle in the previous activity? What is the area of the parallelogram? How do you know?
  3. Find another parallelogram with the same area as the parallelogram in the previous activity.
  4. On a 5 x 5 geoboard, find all parallelograms with a base of 2 units. How many are there? (There are 12 such parallelograms, including four rectangles.)
  5. Make a parallelogram with base 1 unit on your geoboard.
  6. Find three more parallelograms with base 1 unit having the same area as the parallelogram in the the previous activity. What is the area of each of these parallelograms?
  7. Find four more parallelograms with base 1 unit, all having the same area.
  8. How many different parallelograms with base 1 unit are there? (There are 16 such parallelograms, including four rectangles.)
  9. Find a parallelogram with smallest area. Can you find other parallelograms with this area?
  10. Find a parallelogram with next smallest area. Can you find others?
  11. Find the parallelogram with largest area.
  12. Find the parallelogram with next largest area.

Main activity

Homework

Extended activities

  1. Make a parallelogram that has the same area as the following rectangle:

  2. Make a parallelogram that is congruent to the one below:

  3. Make a parallelogram that is similar to the one below:

  4. Continue this pattern of parallelograms on a 10 x 10 geoboard and complete the table:

    Compare your results with extended activity 5 of our lesson on rectangles.

  5. Continue this pattern of parallelograms on a 10 x 10 geoboard and complete the table:

    Compare your results with extended activity 6 of our lesson on rectangles.

  6. Continue this pattern of parallelograms on a 10 x 10 geoboard and complete the table:

    Compare your results with extended activity 7 of our lesson on rectangles.

  7. Continue this pattern of rectangles on a 10 x 10 geoboard and complete the table:

    Compare your results with extended activity 8 of our lesson on rectangles.

 


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

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


[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.

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

© 1996-1997 T. R. Scavo
Web page design by Sarah Seastone