Building a paper bridge: An introduction to problem solving
This activity allows the student to explore problem solving strategies while working with a partner. This activity (building a paper bridge), requires students to question word definition and the application of those definitions. Through problem solving strategies, students discover the need for applying math skills.
A lesson plan for grade 8 Mathematics
Learning outcomes
Goal: The student is to build the longest non-supported single span bridge possible using one sheet of 8.5 × 11 paper.
Objectives:
- To explore a variety of ideas to solve a simple problem
- To creatively find means of measuring materials to construct a paper bridge
Teacher planning
Time required for lesson
45 Minutes
Materials/resources
Each student group will need the following:
- 1 sheet of paper, 8.5 × 11 (although any size will work)
- 12 inches of masking tape
- 1 pair of scissors
- a pencil
Pre-activities
Discuss problem solving strategies and the Ideal problem solving system.
Activities
- Pass out the handout titled Problem Solving Activity: To Build A Bridge.
- Go over the activity with the students.
- Group students into pairs.
- Students should begin sketching ideas on the bottom of the Problem Solving Activity page.
- Pass out to each group the following materials: 1 pair of scissors, 1 sheet of paper, 8.5 × 11, 12 inches of masking tape. Students should have their own pencil.
- As soon as students receive their materials they can begin construction of their bridge.
Assessment
- Review the problem statement. Ask students for the definition of key words such as span.
- Ask for students to display their bridge and show the span of their bridge. This is a good place to discuss the meaning of “longest non-supported single span”.
- Determine which group built the longest single span bridge.
Supplemental information
Teacher background knowledge of structural stress, tension, and compression would be helpful.
Comments
This activity came from a winter technology education workshop several years ago. I first tried this activity on a snow make up day several years ago. Students had lot of fun with the activity and learned about comparing the meaning of words to find a solution. The activity fit well into lessons introducing problem solving because it could be done quickly and students enjoyed it.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 8
- Goal 1: Number and Operations -The learner will understand and compute with real numbers.
- Objective 1.01: Develop number sense for the real numbers.
- Define and use irrational numbers.
- Compare and order.
- Use estimates of irrational numbers in appropriate situations.
- Objective 1.01: Develop number sense for the real numbers.
- Goal 2: Measurement - The learner will understand and use measurement concepts.
- Objective 2.02: Apply and use concepts of indirect measurement.
- Goal 3: Geometry - The learner will understand and use properties and relationships in geometry.
- Objective 3.01: Represent problem situations with geometric models.
- Objective 3.02: Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.
- Objective 3.03: Identify, predict, and describe dilations in the coordinate plane.




