I. Set up sketchpad.
1. Open your saved document with square and right triangle.
2. Open the square script. Select the Custom Tool. Drag the
mouse over the square. When it is highlighted, release the mouse.
3. Reveal the script. Again select the custom tool. This time
highlight the Show Script View and release the mouse button.
4. The ready window should appear as below.
Select the Selection Arrow Tool.
Now let's create our square around the triangle.
II. Create squares around the triangle.
1. Create the top square. Click on the document to deselect
any selection. In order, select the top right corner then the left corner.
Click on All Steps in the square Script window.
A square appears!
2. Create the other two square to surround the triangle. The
order of your point selection is important. Be sure to click anywhere
on the document to deselect any selections. For the right square, click
on the lower right corner, then the left and run the script. For the square
of the hypotenuse, select the upper left corner, then the lower right
corner.
Now you have a right triangle with squares connected to the sides.
III. Color the squares.
Before beginning, close the script window, select the lone square and
press delete to remove it from the document. Be sure the Selection Tool
is chosen. Click anywhere on the document to deselect any selections.
1. Color the top square. Select in order the corner points of the
upper square. From the top menu go to >Construct >Quadrilateral
Interior.
If you are unable to select the Interior from the menu it is because you
have not properly selected the quadrilateral. Interior creation is achieved
by selecting the vertices about the polygon, not the sides. They must
also be selected in order about the circumference. Start at the top left
vertice, then select the top right vertice, then the bottom right vertice,
and finally, the bottom left vertice.
2. Select the color. With the polygon interior now displayed
and selected, go to >Display >Color and select
green.
Click anywhere on the document to deselect the interior selection.
3. Color the other two squares. Color the right square red and
hypotenuse square red and the triangle blue.
Now you have a color coded right triangle with squares created from the
lengths of the sides. Let's do some investigating.
IV. Label the areas.
1. Find the areas of the red square. Select the red square.
From the top menu go to >Measure >Area.
The area of the square appears in the top left corner.
2. Change the name of the area.
Select the Text Tool. Be sure the Area is selected. It is purple when
it is selected.
Your Area points and calculations may not be the same as the ones pictured
above. What is important is that the Area calculation appears.
Double click on the purple Area rectangle in the upper left corner. A
Properties of Area window appears. In the Label type Green Square. Press
OK.
Follow above step to display the red square and yellow square. Your calculations
will be different but be sure the areas are labeled correctly according
to color.
V. Find the sum of the Green Square and Red
Square.
Select the selection tool. Select the Green Square and Red Square.
From the top menu, choose >Measure >Calculate.
A calculator appears. Select Values and Green Square.
The green square shows up in the window. Select + then
>Values >Red Square and click OK.
The sum appears in the left corner.
VI. Investigation.
1. What do you notice about the sum and the area of the yellow square?
2. What is the side of the triangle called that the yellow square surrounds?
3.Change the lengths of the sides of the triangle by selecting a vertex
and dragging. Do the areas change? Does the relationship change?
Answer these questions one by one on the document using the text tool.
Select the text tool and draw a marquee on the document. A rectangle is
created. Type your answer in the rectangle.
Save your document and turn it in.
Have a look at this video for further understanding of the pythagorean
theorem.
http://www.math.uwaterloo.ca/navigation/ideas/grains/pythagoras.shtml