Illuminations: Escape from the Tomb

# Escape from the Tomb

 Students are presented with a problem: two bowls are suspended from the ceiling by springs. One bowl is lower than the other. In one bowl, you can only place marbles; in the other bowl, you can only place bingo chips. How many items must be placed in each bowl so that the heights of the bowls are the same?

### Learning Objectives

 Students will: Solve a system of linear equations.

### Materials

 Springs (or Slinky® Jr.) Two small paper bowls Bag of bingo chips Bag of marbles String Scissors Tape measure Calculator Escape From the Tomb Activity Packet

### Questions for Students

 How can a system of equations be used to solve the Escape From the Tomb problem?

### Assessment Options

 Have each team give a short presentation on how they solve the problem before they test their hypothesis using your baskets.

### Extensions

 Change at least one of the items so that students have to solve the problem again, this time not using both bingo chips and marbles.

### Teacher Reflection

 Was studentsâ€™ level of enthusiasm and involvement high or low? Explain why. Was the lesson appropriately adapted for the diverse learner? How did the students demonstrate understanding of the material presented? Did you find it necessary to make adjustments while teaching the lesson? If so, what adjustments, and were these adjustments effective?

### NCTM Standards and Expectations

 Algebra 9-12Analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior. Generalize patterns using explicitly defined and recursively defined functions. Draw reasonable conclusions about a situation being modeled.
 This lesson prepared by Joanne Nelson.

1 period

### NCTM Resources

 More and Better Mathematics for All Students
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