All Lesson Plans
The Locker Problem
Title: The Locker Problem
Author: Maria Victoria Byrne, Hunter’s Point Community Middle School, NYC
Subject Area/ Grade: Math/ 6th Grade
1,000 lockers line a long high school hallway. Students try to answer a Math problem following these rules: The 1st student opens every locker door. The 2nd student changes the state of every 2nd door. The 3rd student changes the state of every 3rd door. The 4th student changes the state of every 4th door, etc. ‘Changes the state’ means that the student opens the locker door if it is closed and closes the door if it is open. “What Math problem do you think students are trying to answer?” To present their solution, students can: create a story book; make a video simulating the situation; create a powerpoint presentation; create a song describing the process in finding the answer.
Students will work collaboratively to formulate their own question for the Locker Problem and find a solution to that question. They will make a creative output to present their process and the solution. Options will include but are not limited to:
Content Area and Standards
Unit 1: Prime Time
The project revolves around the Locker Problem and is given to the students at the end of Unit 1: Prime Time. The unit is focused on the concepts of multiples, factors, prime and composite numbers and square numbers in real life.
Here is the situation that will be presented to the students:
Part 1: Introduction/ Videos
“How can a confusing question spark someone’s interest in finding the solution to a problem?”
Write your responses in the document below.
Strategy: Word Cloud
“ When the task gets tough and challenging, we need ____________ to achieve our goal.”
Part 2: Brainstorming
Strategy: Noticings and Wonderings
I notice …..
I wonder ….
1,000 lockers line a long hallway at Westfalls High. Students were creating trying to answer a Math problem following the following rules:
And so on!
Changes the state means that the student opens the locker door if it is closed and closes the door if it is open.
QUESTION WE WOULD LIKE TO EXPLORE
Part 3: Strategizing
Part 4: Presenting their solution
Joy2Learn Artists /Videos that Support Project
Art Forms that May Be Included
Connections to Students Passion Areas and Interests
The options for their final output are based on students’ interests in writing, video making, arts, and music.
Because this will be done online and remotely, a laptop or tablet is a must.
Building Foundation Skills
Grade Level Mastery
Above Grade Level
I can come to class prepared and complete all assigned work.
No output is turned in or is submitted more than 2 days late.
Project output is incomplete although turned in on time or is submitted 1-2 days after the due date.
Project output is completed, and it is submitted on time.
Packet is completed and is submitted before the final due date.
1.1 Scholarship Math NS:
I can compute fluently with multi-digit numbers and find common factors and multiples.
All mathematics connections are made incorrectly.
Shows no understanding in applying the concepts of multiples, factors, prime and composite numbers and square numbers in real life.
All mathematics connections are made correctly some of the questions.
Shows little understanding in applying the concepts of multiples, factors, prime and composite numbers and square numbers in real life.
All mathematics connections are made correctly for all questions.
Shows adequate understanding in applying the concepts of multiples, factors, prime and composite numbers and square numbers in real life.
All mathematics connections are made correctly all questions
Connections to other concepts or subjects are present.
Shows sufficient understanding in applying the concepts of multiples, factors, prime and composite numbers and square numbers in real life.
I can demonstrate creativity by displaying originality with value and style.
Students produce visually appealing representations of their thinking.
Students produce high-quality, visually appealing representations of their thinking.
Student work is organized in a way that reveals the underlying structure of the problem.
The students will be given 2 weeks to work on this project
Continue looking and exploring at different platforms and apps that can help in the presentation of this project.