Objective: Students will be able to analyze the Lewis & Clark expedition from an analytical perspective, with regard to time and distance.
Time: 1 or more class periods
Skills: Problem solving, basic math calculations
Content: Science, Math

Throughout their journey, Lewis and Clark had to make careful calculations about the distances that they had to travel and the projected time that it would take them to reach their various destinations. In preparing for the expedition, Lewis had to make important decisions about the number and types of boats to bring along the journey. Since so few settlers had traveled west of the Continental Divide, much of Lewis's job was pure speculation. Yet the lives of the Corps members depended upon the accuracy of his and Clark's pre- dictions, since their calculations determined the nature and amount of provisions the Corps would carry.

Lewis chose several different boats for the Corps of Discovery's expedition: a specially designed keelboat, canoes (pirogues-Lewis used these names interchangeably), and an iron-frame boat that Lewis and Jefferson had dreamed up prior to the voyage and whose frame Lewis had had constructed in Pittsburgh. The keelboat designed for the Corps was 55 feet long, 8 feet wide at the midpoint, with a 32-foot high mast that could be lowered. The boat could be propelled four ways: rowing, sailing, pushing, and pulling. Given all of the obstacles in the Missouri, this flexibility often came in handy. The iron-frame boat, which members of the Corps dubbed the "Experiment," was a collapsible structure that Lewis envisioned covering with leather and waterproofing on the overland portion of the Corps's journey between the Missouri and Columbia Rivers. The iron-frame boat, however, was a disaster. The stitching gaped and the waterproofing proved inadequate. When Lewis attempted to launch the boat, he claimed that it "leaked in such manner that she would not answer." Despite these difficulties, Lewis's idea was a sound one-he knew that the Corps would be in need of new boats following their journey over land, and he wanted to find something very light to carry. (You may want to link to these web sites: www.kcmuseum.com/riv4.html; and www.steamercolumbia.org/imagegallery.html; for additional information on steamboats, see www.steamboats.org or www.sshsa.org)

In addition to the difficulty of predicting what kinds of boats would be most useful on the expedition, Lewis and Clark also faced the obstacle of the river itself. Much depended upon the ever-fluctuating flow of the Missouri-a problem that continued to plague travelers on the river well into the twentieth century. The introduction of the steamboat, with its flat bottom and light construction, on the Missouri in 1819 helped alleviate some of the problems, but the vagaries of the river continued to make travel difficult. In the twentieth century, engineers decided to take matters into their own hands, creating a deep-water channel along the river in order to make transportation quicker and more reliable.

Aside from the choice of boats for the expedition, Lewis and Clark also had to make sure that they were traveling along the right path-not an easy task, considering that they were travelling through territory that few Europeans had ever seen. At one particular juncture near the mouth of the Missouri River, where the river divided, Lewis and Clark had to make a crucial decision about which path to follow. One fork, that on the right or north side, ran almost directly east-west, meaning that the Corps, in following it, would be heading straight toward the mountains. The other fork, that on the left or south side, reached the Missouri from the southwest and had a swifter current, but was shallower. By all appearances, the fork on the right seemed more characteristic of the Missouri the Corps had seen so far-its waters were turbulent and heavy with sediment. For these reasons, all the other members of the Corps were convinced that the north fork was the true Missouri, but Lewis and Clark were not so sure. Lewis reasoned that the clearer water of the southern river perhaps indicated that it descended directly from the mountains. The two captains decided that each of them would take an exploratory party up the river a ways to see if they spotted any sign of the Great Falls that allegedly formed the mouth of the river. Based on their observations and on their examination of the maps, Lewis and Clark decided-against the warnings of the other Corps members-that the south fork was the true Missouri. Less than a week later, upon the Corps's arrival at the Great Falls, the decision made by Lewis and Clark to follow the south fork proved right.

Word Problems

  1. By Clark's estimation, the Corps of Discovery traveled 4,142 miles one-way, from Wood River, Illinois to Ft. Clatsop, Oregon. Knowing that the expedition lasted roughly 864 days (round trip), from May 14, 1804 to September 23, 1806, and assuming that the Corps traveled roughly the same distance on its return trip, how many miles did the Corps average per day? Assuming that the Corps spent about 5 hours a day moving forward, and that they were able to travel on 680 of the 864 days of their expedition, what was their average speed?
  2. While tracing the Missouri River, the Corps of Discovery often split into two groups. Assume that one group traveled by foot, led by Lewis at a constant speed of 2 miles per hour, and the other by boat, led by Clark at the constant speed of 3.5 miles per hour. If the group decided to cover 21 miles of territory on a given day, and they left at the same time, how long would Clark have to wait for the group led by Lewis? If 75 years later, a steamboat could travel at 5.25 miles per hour, how much time would be saved in traveling the same distance, as compared to the older boat?
  3. Had Lewis and Clark taken the northern fork at the junction below Great Falls, they would have traveled up the Marias River and been off their course toward the Columbia River. Suppose the Corps traveled along the Marias for fifty miles before realizing their error. If they then turned due south and traveled 30 miles in a straight line back to the point where their original path would have put them, how many additional miles would they have traveled than if they had remained on course?
  4. Lewis and Clark reached a turning point similar to the one described above on April, 1805, at the junction of the Yellowstone and Missouri Rivers. Had Lewis and Clark listened to their Hidatsa Indian guides, they could have followed the Yellowstone for a more direct route to the Three Forks. Instead, following Jefferson's orders to follow the Missouri to its head, the Corps remained on the Missouri and arrived at Three Forks 13 days later than they otherwise would have. Using the speed calculated in problem #1, determine how many additional miles they traveled to reach their destination.

Extended Activities

  1. Have students do research on each of the ships used by the Lewis and Clark expedition and create a timeline showing their use over time. In labeling their timelines, have students also indicate what other historical events/milestones coincided with changes in river transportation. The following are several good websites to start with: http://www.kcmuseum.com/riv4.html; on steamboats, www.steamboats.org or http://www.geocities.com/BourbonStreet/Square/6886/photos/deltaqueen2.jpg.
  2. If your school has its own wood shop, have students try to design and build their own boats for the Missouri River of 1804. Remind them to consider the river's variable terrain in designing their boats and to design a boat that can fulfill whatever transportation needs they determine are important. You may wish to have students read Stephen Ambrose's description of Lewis's attempt to construct his iron-frame boat and discuss the reasons for his boat's failure. See Stephen E. Ambrose, Undaunted Courage: Meriwether Lewis, Thomas Jefferson, and the Opening of the American West, pages: 244-249.
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