After reading chapter 8, some students in Ms Sanchez and Ms Kitto classes play a game called Permutation Relay: (hopefully all students will have a chance tomorrow)
Each student gets a pink sticky note, a blue sticky note and a white one. The group was separate into two teams. The teams line up for a relay style race. The first child from each team runs to the board/wall and puts up their 3 papers in a line, in any order. They run back, tag the next person who then runs to the board and puts up their 3 papers in a line, in any order except the order of the other person on their team. This continues until all six permutations have been discovered. The team that gets all their permutations up first is the winner.
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Each student gets a pink sticky note, a blue sticky note and a white one. The group was separate into two teams. The teams line up for a relay style race. The first child from each team runs to the board/wall and puts up their 3 papers in a line, in any order. They run back, tag the next person who then runs to the board and puts up their 3 papers in a line, in any order except the order of the other person on their team. This continues until all six permutations have been discovered. The team that gets all their permutations up first is the winner.
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After acting out permutations, students selected one activity to extend what they learned from reading this chapter.
- Organizing your classroom. The Number Devil shows Robert that to figure out how many possible ways to arrange his classmate's seats all Robert has to do is multiply the number of people by all the whole numbers below the number of people except zero. Pretend you're in Robert's class and you want to figure out the number of possibilities for arranging your classmate's seats. Describe another real life way of using permutations. Write down your response on your Writing Journal.
- Permutation "Words". Make four (4) cards, each card with a large random letter written on it. Find all four-letter arrangements of the cards. The arrangements do not have to spell actual words. Record each "word" in your Writing Journal and explain your strategy for finding your answers.
- New Student A new student has arrived and the teacher needs to find a seat for them. How many different arrangements are there for the students if there are 28 students in the class (including the new student)? Complete a factorial and explain how you got that answer in your Writing Journal.
Interested in extending your learning?
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