Nicole Scicutella Goals Students will develop an understanding of the pythagorean theorem using jelly beans Students will have a visual understanding of area reflects on pythagorean theorem OBJECTIVES ID: 578552
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Slide1
The pythagorean theorem with jelly beans
Nicole ScicutellaSlide2
Goals
Students will develop an understanding of the pythagorean theorem using jelly beans
Students will have a visual understanding of area reflects on pythagorean theoremSlide3
OBJECTIVES
Given a diagram of a scalene right triangle with squares on the border of it, the student will be able to visualize how the
Pythagorean
theorem works.
Given the diagram, the student will be able to make an observation of how the area of the squares relates to the
Pythagorean
theorem of the triangle.Slide4
Materials
Cardboard boxes (set up by teacher)
Jelly Beans
Pencils
Worksheet Slide5
Step one: The layout
This is the layout of how the diagram would be. This shows the right triangle and its corresponding squares.Slide6
Step two:
The cardboard is glued around the three squares. The students will add the fence of the triangle, but don’t attach it. Student will cover the two squares on the legs of the triangle with jelly beans.
The two boxes should be filled with jelly beans but NOT overlapping, side by side
. Slide7
*This is what the students diagram should look after this step!*Slide8
Step three:
The students will remove the cardboard from the border of the right triangle.
Pushing all the jelly beans to fall into the square on the hypotenuse.
*Make sure the jelly beans are side by side and NOT over lapping!*Slide9
How to Construct the Model
Jelly Beans GaloreSlide10
Reminders For
the students
Make sure to put the triangular border back to verify that all the jelly beans cover the square on the hypotenuse.
Remember can NOT overlap, only side by side! Slide11
conclusion!
What have you discovered doing this activity?
Explain the sum of the areas of the squares on the legs of the right triangle compared with the area of the square on the hypotenuse?
What is the formula for the Pythagorean theorem
?
Do the jelly beans cover the square on the hypotenuse completely and perfectly?Slide12
Extending the
pythagorean
theorem Slide13
Reference:
Live.Love.Laugh.Teach
. (
n.d.
). Retrieved May 5, 2015, from
https://livelovelaughteach.wordpress.com
/
http
://www.wou.edu/~
burtonl/courses/math494.594/PythagoreanTheoremJellyBeansJohnson.pdf