Community Pictures and Higher Level Tasks
Brody at Michigan State University
Higher Level Tasks:
1. There are 135 students that need to be housed in Emmons
Hall. There are an even number of Freshman, Sophomores, and Juniors. There are
four floors in the building and there are 20 rooms on each floor. There are
allowed to be 2 people per room. The rooms need to be filled up from the 1st
floor going up. How many Freshmen, Sophomores, and Juniors are there? Would all
the rooms be filled up evenly throughout the entire building or would there be
left over spots? If so, how many and why?
2. At orientation, there are a
group of 99 students. The program directors want to split up the freshman,
sophomores, and juniors evenly at each table. There are an even amount of
freshman, sophomore, and juniors. There are 20 tables total and there are six
seats at each table. If you were to distribute the students from each class
evenly at each table, how many tables and seats would be left over? How many
students from each class would it take to fill the rest of the seats?
Michigan State University Library
Idea: -Finding area/perimeter of the water fountain
BP Gas Station on Michigan Ave.
Ideas: -Finding the amount of gas it takes in gallons to fill a car
-How much gas you can get with a certain amount of money
How deeply or superficially you think it could address students’ lives and how it might be tweaked if needed
ReplyDeleteProblem 1: This might be an interesting problem, and connective for children who are living in this area and older, especially those who have brothers and sisters who go to the school or are interested in attending the school themselves.
Problem 2: Again this would be connective and interesting for students who had older brothers and sisters attending the school or were interested in coming themselves. It seems like many of the students in this area get excited when MSU or Sparty is involved.
How realistic the values/information in the task are:
The values for both tasks seem realistic and are explained well!
Level of the task USING THE FRAMEWORK (Stein & Smith.) and how you think it could be modified to be higher level
Problem 1: Procedures with connections. Again although it is not explicitly stated children will most likely use standard algorithms to discover the solutions to the problems. It could be made higher order possibly by asking children to map out a way that 135 students would fit in Emmons hall, with no more than two people in a room, and there are only ____ number of rooms. Also you could tell them to find the most efficient way to do this, and explain why this is the most efficient, so that it would be a higher level doing math task.
Problem 2: Procedures with Connections. This is most likely because the students will strictly use standard algorithms to discover the answer to each problem asked. To make this task higher order it could require the students to find the best way to arrange tables (and not give children a number limit per table) so that everyone is close together to hear but not too close. This would allow the children to think more about how to arrange the people and how many people should be at each area to optimally impact the environment. Also the teacher could ask the children to map out their drawing.
I really like the pictures that you chose and I think that if you were an MSU student or are familiar with the area these tasks would be certainly meaningful and interesting. The first problem sees to be a procedures with connections task. It seems to be very guided in how to solve the problem though. I think if you made the task more open ended like talking about the possibility of having a range 1-4 roommates in one room could help students think more about how they could be sure each student has a room to be placed in. The second problem I agree would be a procedures with connections task. I think Jamie had a great idea to make this a higher order task by making it more open ended in just having a place where everyone can see and are close enough to hear while still having enough space. This would allow children to think critically about mapping out the area strategically and using more high level thinking.
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