Archimatics Worksheet
Mount Rushmore – Fractions, Decimals, & Percents
1. In the picture you see George Washington’s left eye. What percent of the total number of eyes on the mountain is this? What is the fractional representation of this?
2. The four presidents found on Mt. Rushmore are George Washington, Thomas Jefferson, Abraham Lincoln, and Theodore Roosevelt. What fraction of all of the American presidents is this? What is it in decimal form? As a percent?
3. Why do you think the sculptor chose these four presidents to depict?
Lincoln Memorial - Ratios and Proportions
1. In the picture you see a man cleaning the statue of Abraham Lincoln. He used a ladder to stand on top of Lincoln’s knee. Assuming the ladder is a standard 6 foot ladder, we can see Lincoln’s foot-to-knee is approximately 6 feet long. How many meters is this? (1 inch = 2.54 cm)
2. Now take a meter stick or ruler and measure your foot-to-knee. Record the length. What is the ratio of your foot-to-knee to Lincoln’s?
3. Using the same meter stick or ruler, measure your entire body length, foot-to-head. Record the length. Using your ratio from number 2, create a proportion that would give you Lincoln’s height. Then, solve that proportion. How tall would Lincoln be if he were standing?
Iwo Jima Memorial - Angles and Measurement
1. In the picture you see the statue at the Iwo Jima Memorial. The Marines are hoisting a flag. Using the protractor, about how many degrees above the ground is the flag being hoisted? What type of angle is this? (acute, obtuse, right, straight)
2. What would be the complement to the angle you found in number 1? the supplement?
3. Why do you think the sculptor chose to put the flag at this angle?
Tomb of the Unknowns - Symmetry
1. In the picture you see the Tomb of the Unknowns. Look how aesthetically pleasing it is. This is due to its symmetry. Were you to take away the words, you could draw a line down the middle of the monument and split it exactly in half. Look at each piece of the monument: the top, the base, the molding, etc. Where else do you see lines of symmetry?
2. Print out this picture. Using a brightly colored pen or pencil, draw all of the lines of symmetry you found. Tell whether the objects have line symmetry or rotational symmetry.
3. Look at the letters. Which letters have symmetry, if any? Is it line symmetry or rotational symmetry?
Washington Monument - Volume
1. In the picture you see the Washington Monument. It appears to be made of a tall rectangular prism, topped with a rectangular pyramid. Using random measurements, we can say that the base of both the prism and pyramid is 12 feet long and 12 feet wide. The height of the prism is 500 feet and the height of the pyramid is 50 feet. What would be the volume of the Washington Monument if these measurements were correct? (It may help to draw two separate pictures.)
2. Suppose there was a battle in Washington, DC, and three cannonballs ripped through the monument. If each cannonball created an exact cylinder through the monument, with diameter 2 feet, what would be the resulting volume of the monument? (Again, a picture may help.)
3. Why do you think the architect made the monument look as it does?