SummaryStudents explore methods employing simple machines likely used in ancient pyramid building, as well as common modern-day material transportation. They learn about the wheel and axle as a means to transport materials from rock quarry to construction site. They also learn about different types and uses of a lever for purposes of transport. In an open-ended design activity, students choose from everyday materials to engineer a small-scale cart and lever system to convey pyramid-building materials.
The simple machines explored in this lesson — wheel and axle, and lever — are relevant to modern-day, real-world methods of material transportation. Just as ancient engineers used simple machines in the transportation of stone for pyramid building, today's construction engineers continue to use simple machines to gain mechanical advantage in the transport of large and heavy materials. Think of all the big trucks that are used to transport materials. Some of these trucks have lifts — like garbage trucks — that work like levers to unload materials. Ancient and modern day engineers use the concept of balanced and unbalanced forces to move large and heavy materials.
Each TeachEngineering lesson or activity is correlated to one or more K-12 science,
technology, engineering or math (STEM) educational standards.
All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN),
a project of D2L (www.achievementstandards.org).
In the ASN, standards are hierarchically structured: first by source; e.g., by state; within source by type; e.g., science or mathematics;
within type by subtype, then by grade, etc.
Each TeachEngineering lesson or activity is correlated to one or more K-12 science, technology, engineering or math (STEM) educational standards.
All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN), a project of D2L (www.achievementstandards.org).
In the ASN, standards are hierarchically structured: first by source; e.g., by state; within source by type; e.g., science or mathematics; within type by subtype, then by grade, etc.
General knowledge of pyramids and geometric angles. Familiarity with the six simple machines introduced in Lesson 1 of this unit.
After this lesson, students should be able to:
- Explain the evolution and re-engineered uses of the wheel and axle.
- Explain the evolution and re-engineered uses of a lever.
- Understand how a wheel can be described as a lever.
- Understand the many ways that engineers use the wheel and axle, and lever (as well as other simple machines) on a daily basis.
Have any of you seen images of the pyramids in Egypt or Mesoamerica? Most of you should be raising your hand, because through our imagination we have all visited the pyramids. Historians estimate that it took ancient engineers 20 years to build some of the great pyramids. What do you think were some of the most difficult things people had to do in order to build them? (Possible answer: Move the huge stones, weighing up to 9,000-kilograms [~10-tons], and put them in position.) Can you imagine how strong you would have to be to move those stones? Or was there an easier way than using your hands to move them?
To build the Egyptian pyramids, engineers had to develop methods of transporting rock a great distance, perhaps hundreds of kilometers! Often, these stones also had to be transported across rivers. Have any of you ever tried crossing a river or creek with a fast-moving water? Maybe some of you have been tubing before? Do you remember anything about the speed at which the water pulled you? To build the Mesoamerican pyramids, the stone blocks were much smaller. Do you think they used the same methods for stone transportation that the Egyptians used? Mesoamerican engineers had no need for transporting stone a long distance because they used nearby stone.
It is incredible! While the Egyptian and Mesoamerican cultures existed millennia apart, and we believe there was no formal communication between them, both built incredible structures that have survived to this day. Each stone was cut with such accuracy, delicacy and artistry, that the pyramids are visited in wonder by millions of people each year! In fact, the Great Pyramids in Egypt, are considered to be one of the seven wonders of the world. Today, we are going to learn about the very clever ways that engineers of those times devised to transport heavy stones to their pyramid construction sites.
Optional introductory activity: Using images embedded in the attached Wheeling It In! Presentation (PowerPoint), print out many illustrations, hand them out, and ask students to classify them as "wheel and axle" or "lever."
Lesson Background and Concepts for Teachers
Use the attached Wheeling It In! PowerPoint presentation as a helpful classroom tool. (Show the PowerPoint presentation, or print out the slides to use with an overhead projector. The presentation is animated to promote an inquiry-based style; each click reveals a new point about each machine; have students suggest characteristics and examples before you reveal them.)
A lever is a simple machine that provides a mechanical advantage when used. Specifically, it is a bar pivoted on a fixed point (called the fulcrum) that is used to lift an object by applying force to one end. The idea, usually, is that you apply force to one end of a bar, in order to lift the other end. In Figure 1, force would be applied on the right side of the lever, while an object sitting on the left side would exert a resistance on the bar.
Although the type of lever in Figure 1 is the one most commonly referenced (fulcrum between force and resistance), there are two other types of levers. One, such as a bottle opener, has the fulcrum on one end of the bar and the resistance is between the fulcrum and the force. The second, such as a broom (see Figure 2), has the fulcrum on one end, and the force is between the resistance and the fulcrum.
It is believed by many historians that ancient engineers used levers extensively to lift or hoist large blocks and stones into place. As the ancient Greek historian Herodotus wrote:
"After laying the stones for the base, they raised the remaining stones to their places by means of machines formed of short wooden planks. The first machine raised them from the ground to the top of the first step. On this there was another machine, which received the stone upon its arrival, and conveyed it to the second step, whence a third machine advanced it still higher." Source: World Mysteries, Mystic Places, Construction of the Great Pyramid: www.world-mysteries.com/mpl_2_1.htm#Machines
In this manner, ancient engineers were able to methodically iterate "hoists" that lifted the heavy stone with a relatively small force.
(Herodotus, the "father of history," [425-485 BC] is an ancient Greek historian whose accounts, chiefly concerning the wars between the Greeks and Persians, are the earliest known examples of narrative historical writing.)
Show students an excellent animation at a Polish website about transportation methods that do not use a wheel and axle: www.swbochnacki.com (click on Site Map, then click on Transport within Pyramid's Benches). The animation shows use of levers and inclined planes to move objects up the steps of a pyramid.
Simple machines provide an easier way to do work due to a tradeoff between force and distance. This is called mechanical advantage. A lever allows an object to be lifted by exerting minimal downward force.
Wheel and Axle
With the popularity of vehicles today, we can see that the wheel and axle are main components in a very effective mode of transportation. Whether transporting people on long road trips, hauling cement or gravel, or moving furniture, cars, dump trucks, moving trucks and buses are successful modes of transportation. In fact, virtually all methods of transportation use the wheel and axle in some way. Although these types of vehicles did not exist in the early days of pyramid building, the wheel and axle, a simple machine, did exist.
Many archeologists believe that Egyptian engineers transported stone blocks long distances by placing logs under the stones, with large numbers of people manually pulling on a rope attached to the front end of the stone, and continually adding new logs under the leading edge of the stone as the block was rolled forward (see Figure 3). This transportation method can be thought of as a simple wheel and axle, with the logs serving as rudimentary wheels. This method facilitated the transportation of stone that would otherwise have been much too heavy to move from a rock quarry to a construction site.
Other Transport Methods
Other stone transportation methods included two- to four-wheeled carts. The stone could have been hoisted onto the cart by the same method that is believed to have been used by the Egyptians. However, in the case of Mesoamerican pyramids, where the block size was not as huge, simpler levers could have been used.
If we were to transport large blocks of stone today, we would probably use a dump truck (see Figure 4). Many present day construction materials are transported from a quarry to a foundation site using dump trucks. These trucks employ hydraulic cylinders that lift and tilt the truck bed to release its contents. The bed of the truck is essentially a lever; the fulcrum is created at the point at which the bed tilts. This transportation method demonstrates an effective combination of two simple machines — the wheel and axle, and the lever — to transport large and heavy loads. The wheel and axle allow for long distances to be traveled at a faster pace — providing a mechanical advantage. But, because a wheel is used, many revolutions are needed to travel this distance.
Engineering Design Process
As the students design and build their own version of an ancient transport system, consider introducing them to the engineering design process — a series of steps that engineering teams use to guide them as they solve problems.
- Understand the need: What is the problem? What do I want to do? What are the project requirements? What are the limitations? Who is the customer? What is the goal? Gather information and research what others have done.
- Brainstorm and design: Imagine and brainstorm ideas. Be creative. Investigate existing technologies and methods to use. Explore, compare and analyze many possible solutions. Select the most promising idea.
- Plan: Draw a diagram of your idea. How will it work? What materials and tools are needed? How will you test it to make sure it works?
- Create: Assign team tasks. Build a prototype. Does it work? Talk about what works, what doesn't and what could work better.
- Improve: Talk about how you could improve your end product. Make revisions. Draw new designs. Make your product the best it can be.
Engineers explore all possible options and compare many design ideas. This is called open-ended design because when you start to solve a problem, you don't know what the best solution will be. Engineers use prototypes, or early versions of the design to improve their understanding of the problem, identify missing requirements, evaluate design objectives and product features, and get feedback from others. Engineers select the solution that best uses the available resources and best meets the project's requirements.
design: (verb) To plan out in systematic, often graphic form. To create for a particular purpose or effect. Design a building. (noun) A well thought-out plan.
distance: A measure of space between two objects.
engineering: Applying scientific and mathematical principles to practical ends such as the design, manufacture and operation of efficient and economical structures, machines, processes and systems.
force: A push or pull on an object.
fulcrum: The point at which a lever pivots.
lever: A simple machine that increases or decreases the force to lift something. Usually a bar pivoted on a fixed point (fulcrum) to which force is applied to do work.
mechanical advantage : An advantage gained by using simple machines to accomplish work with less effort. Making the task easier (which means it requires less force), but may require more time or room to work (more distance, rope, etc.). For example, applying a smaller force over a longer distance to achieve the same effect as applying a large force over a small distance. The ratio of the output force exerted by a machine to the input force applied to it.
mesoamerica: A region extending south and east from central Mexico to include parts of Guatemala, Belize, Honduras and Nicaragua. In pre-Columbian times it was inhabited by diverse civilizations, such as the Mayan and the Olmec.
quarry: A pit from which rock or stone is removed from the ground.
simple machine: A machine with few or no moving parts that is used to make work easier (provides a mechanical advantage). For example, a wedge, wheel and axle, lever, inclined plane, screw, or pulley.
speed: A measure of how fast an object is traveling.
transport: To carry from one place to another; to convey.
weight: A measure of how heavy or light something is. The weight of an object is the mass of the object times the force of gravity pulling on the object.
wheel and axle: A simple machine that reduces the friction of moving by rolling. A wheel is a disk designed to turn around an axle passed through the center of the wheel. An axle is a supporting cylinder on which a wheel or a set of wheels revolves.
wonder: Something that arouses awe, astonishment, surprise or admiration; a marvel.
work: Force on an object multiplied by the distance it moves. W = F x d (force multiplied by distance).
- Wheeling It In! - In an open-ended design activity, students use everyday materials to construct wheel and axle carts, and use a simple lever to load blocks of clay onto the carts. Students choose their materials and engineer solutions, designing small-scale transportation devices to convey ancient pyramid-building materials. Students race their carts/trucks, measure distance, time and weight, and calculate speed.
Let's discuss the pyramid building processes that may have been employed by engineers from ancient cultures. How might these processes have differed based on the kinds of pyramids they built or where they built them? (Answer: Different methods were used to move smaller rocks than larger rocks; used simple machines like the lever, and wheel and axle.)
How might a wheel and axle, a lever, or a combination of both, facilitate the transportation of materials? (Answer: These simple machines provide a mechanical advantage, which allows for the transportation of objects that would be otherwise too large or heavy for the average person to transport by hand. It also allows for faster and longer distance transportation.)
Conduct summary assessment activities as described in the Assessment section.
In other lessons of this unit, students study each simple machine in more detail and see how each could be used as a tool to build a pyramid or a modern building.
Brainstorming: As a class, have the students engage in open discussion to generate a number of possible ideas about transportation for pyramid design. Remind students that in brainstorming, no idea or suggestion is "silly." All ideas should be respectfully heard. Take an uncritical position, encourage wild ideas and discourage criticism of ideas. Have them raise their hands to respond. Write their ideas on the board. Encourage discussions that involve the use of any simple machines as you ask the students:
- How did ancient engineers build pyramids? What tools did they use?
Question/Answer: Ask the students and discuss as a class:
- For what reason do engineers use a combination of wheel and axle, and levers to transport materials today? (Answer: Using a wheel and axle, or lever system creates a mechanical advantage, making easier the transportation of materials that would otherwise be too large or heavy to transport.)
- Why is the wheel referred to as a type of lever? (Answer: A wheel is a lever that is able to rotate 360 degrees about its focal point [axle].)
- How might you use a wheel and axle, or lever, if you were constructing your own house? (Possible Answers: Use a dump truck to transport materials such as rock, sand and gravel. Use a flat-bed truck to transport materials such as beams, wood and appliances. Use a wheel barrow or dolly to move items around once off the truck.)
Lesson Summary Assessment
Engineering Report: Assign the students to write a short entry in their "ancient time capsule journal" that describes the relevance of the wheel and axle, and the lever in the building of pyramids, and addresses the following issues:
- How might Egyptian and Mesoamerican engineers have used the wheel and axle?
- How might Egyptian and Mesoamerican engineers have used the lever?
- Why was the use of these simple machines so important?
- Draw and label the parts of a wheel and axle.
- Draw and label the parts of a lever.
- List five items with which you are familiar that use either a wheel and axle, or a lever.
- Describe the steps of the engineering design process.
Pass the Buck: Engineering Design- In groups of four, have students brainstorm ideas to define an engineering design problem related to the above lesson (i.e. some sort of transportation problem). What is the need or want of your problem? First, assign one student in the group to be the recorder. Then, have someone toss out an idea. Next, another person in the group provides an idea that builds on the first. Go around the group in this fashion until all students have put in enough ideas to define an engineering design problem. Next, have students define a short list of criteria that the design must meet. For instance, the design must move lift the object 50 feet. Help the students understand what a design criteria is. Lastly, have students come up with a short list of constraints for their problem (e.g.. material constraints such as they only have materials that were available in ancient times; or they only have a budget of one hundred dollars). Help students understand the idea of engineering constraints (materials, time, costs, etc). When they are done, have them share their idea(s) with the class. Encourage the incorporation of any simple machines they have learned about. This can also be a fun exercise as an entire class- especially if students are new to the engineering design process!
Lesson Extension Activities
Take a "field trip" to the playground and have students draw and list objects containing a lever, or wheel and axle (or any other simple machines).
Ancient engineers had to transport large, heavy rock across water. Have students brainstorm ways in which they would transport pyramid stones across water.
Have students play the BBC's Pyramid Challenge online educational game at http://www.bbc.co.uk/history/ancient/egyptians/launch_gms_pyramid_builder.shtml.
Additional Multimedia Support
Show students a six-minute online video about a Michigan man who is building a Stonehenge replica to show people how its huge blocks could have been placed without modern heavy equipment. See "Building Stonehenge: This Man Can Move Anything" at: https://www.youtube.com/watch?v=lRRDzFROMx0
ContributorsLuz Quiñónez; Lawrence E. Carlson; Jacquelyn F. Sullivan; Malinda Schaefer Zarske; Glen Sirakavit; Denise W. Carlson, with conceptual input from the students in the spring 2005 K-12 Engineering Outreach Corps course.
Copyright© 2005 by Regents of the University of Colorado.
Supporting ProgramIntegrated Teaching and Learning Program, College of Engineering, University of Colorado Boulder
The contents of these digital library curricula were developed by the Integrated Teaching and Learning Program under National Science Foundation GK-12 grant no. 0338326. However, these contents do not necessarily represent the policies of the National Science Foundation, and you should not assume endorsement by the federal government.