The Locker Problem

   Contents

 Task

In this problem, students will use what they have learned about factors and multiples to solve an interesting problem about a school with 1000 lockers.

 GPS Addressed (click [+] to expand)

    [-] M6N1. Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will apply these concepts and associated skills in real world situations.
      a. Apply factors and multiples.
    c. Determine the greatest common factor (GCF) and the least common multiple (LCM) for a set of numbers.
    [-] M6A2. Students will consider relationships between varying quantities.
      a. Analyze and describe patterns arising from mathematical rules, tables, and graphs.
    [-] M6P1. Students will solve problems (using appropriate technology).
      a. Build new mathematical knowledge through problem solving.
    b. Solve problems that arise in mathematics and in other contexts.
    c. Apply and adapt a variety of appropriate strategies to solve problems.
    d. Monitor and reflect on the process of mathematical problem solving.
    [-] M6P3. Students will communicate mathematically.
      a. Organize and consolidate their mathematical thinking through communication.
    b. Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
    c. Analyze and evaluate the mathematical thinking and strategies of others.

 Video (duration: 23:23)


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Use these questions to guide your thinking about some of the important teacher ideas in the lesson featured in the video clip.

  1. What kinds of questions does the teacher ask to promote students’ problem solving?
  2. How is the teacher gauging students’ current understandings and building from those understandings?
  3. What is the role of pattern-finding in this lesson?
  4. Consider the GPS standards listed with this video. How does the lesson featured in this video address each of these?
  5. What makes this lesson different from lessons you have taught on this topic? What is similar between this lesson and lessons you have taught?

 Classroom Materials / Lesson Outlines