Illuminations: Planning a Trip

Planning a Trip


Planning a Trip to the State Capitol

During this lesson, student groups will plan a trip to the state capitol (either overnight or a day trip, depending upon location.) Using the skills they developed in the previous lessons, students determine not only elapsed time and distance, but extend their problem solving to figuring meals and lodging costs. As students tackle this more complex task, teachers have opportunity to observe students’ growing competence. These include which variables students attend to, if students can find distances from a map, if students can find elapsed time, or if students can use elapsed time to plan a schedule.

Learning Objectives

 
Students will:
  • determine the distance to the state capitol
  • develop a schedule for a one-day visit to the capitol, including travel time and, if appropriate, lodging
  • compare options for reducing the cost of the trip
  • prepare a display based on their calculations

Materials

 
Computer and Internet connection
Reference resources to plan a trip
Cost of a Trip to the State Capitol Activity Sheet
Class Notes Recording Sheet

Instructional Plan

If initial data is presented to the students, the lesson may take about 45 minutes. If the students collect the data themselves using the Internet or print resources, the actual time will vary according to the ability of your students to find the relevant information.

Web resources students might find useful in this lesson are:

To begin this class, ask students to locate the state capitol on a map. The Web site http://50states.com is an excellent site for state maps. Students might investigate this and other Web sites that describe the state capitol and review resources provided by the teacher or those from texts. Ask the students to imagine that they will visit the capitol as a class and that they will need to figure not only the distance and visitation schedule but also the cost of the trip. Ask them to estimate how long the trip will take and how much it will cost. Record these estimates for comparison later in the unit.

Assign students to small groups. These could be the groups they have worked in previously, or new group assignments. Have available some reference resources students might use to plan the trip such as maps, brochures, menus, hotel rates or newspapers. Explain that each group should plan a trip to the capitol then prepare a schedule for a day’s visit. Record this information on a poster to share with the class using the sample Cost of a Trip to the State Capitol Activity Sheet.
Cost of a Trip to the State Capitol Activity Sheet

Review the concept of time duration to prepare the students for group work and to check for individual student’s understanding. You may wish to supply a variety of computation materials and the children select the ones most helpful to them. Some children will need to be reminded that when they regroup in a time duration calculation, they will be regrouping 1 hour to 60 minutes, not 1 ten to ten ones. You may wish to do a few sample calculations as a class before the groups begin their own work.

As students work, circulate among them asking guiding questions and providing assistance as needed. This is a prime time to assess student progress by observing and asking questions. It may be appropriate to conduct “mini lessons” on topics such as problem-solving strategies, Internet usage, and group dynamics. Documenting the mini lessons will help you remember which students needed additional experiences in these areas.

As each group finishes its task, display their poster. When all groups have finished, discuss with students the ways they collected the data they needed and how they determined distances, costs, and elapsed times. Ask them to compare their schedules and costs with the estimates they made at the start of the lesson. Then ask students to explain ways they used to reduce the cost of the trip and how they arrived at their schedules.

Questions for Students

 

How did you decide how far the capitol was from the school? Did everyone in your group agree? If not, how did you come to an agreement?

How did you determine how long the trip would take? What methods did you use? What did you need to take into account as you planned the departure time? The return time?

How did you determine how much the trip would cost? What did you need to take into account as you planned the cost?

What helped you plan a schedule during the visit? Why did you make these choices?

How did you find the distance to the attraction? Could you do it another way?

If the capitol were twice as far away, how would that affect the cost of the trip? If the capitol were half as far away, how would that affect the cost?

How did you arrive at your estimates? Would you do it the same way again?

Assessment Options

 
  1. At this stage of the unit it is important to know:
    • which variables students attend to
    • whether students can find distances from a map
    • if students can find elapsed time
    • if students can use elapsed time to plan a schedule
    • if students can compare costs to find a less expensive option
  2. The guiding questions help you understand the students’ current level of knowledge and skill. You may wish to record students’ current level of understanding on the Class Notes recording sheet as you continue to monitor student growth toward meeting the learning objectives.
  3. You may also wish to keep a copy of the students’ schedules for their portfolios or for a class display.

Extensions

 
  1. You may wish to ask students to write to the members of their state legislatures for information about the state capitol. Mailing and email addresses can be found on the Web by locating the state government site for your state. One way to do this is to search for the state capitol by name on your web search function. In addition, you may wish to ask students to explore the Web sites of other states to see what information on the capitol is available. The Library of Congress site mentioned earlier is a most informative source.
  2. Students may also wish to develop a brochure or travel poster about their state showing the state flower, bird, and a picture of the state quarter, if available. They could expand this brochure with information about the state’s history and its famous people.

Teacher Reflection

 
  • Which groups worked together most effectively? Have they developed the ability to work together as the unit progressed?
  • Did students in each group contribute equally to the project? Did some students exhibit special strengths?
  • Which students met all the objectives of this lesson? What extension activities are appropriate for those students?
  • Which students are still having difficulty with the objectives of this lesson? What additional instructional experiences do they need?
  • What would you do differently the next time you teach this lesson?

NCTM Standards and Expectations

 
Data Analysis & Probability 3-5
  1. Design investigations to address a question and consider how data-collection methods affect the nature of the data set.
  2. Represent data using tables and graphs such as line plots, bar graphs, and line graphs.
  
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NCTM Resources

Principles and Standards for School Mathematics

Web Sites


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