Ollie Owl's Food Court

Transcription

1 Ollie the Owl is opening a new food court in his local mall that will entice his fellow owl buddies. He is planning on having 7 restaurants in his food court, and he already has 7 restaurant owners ready to move in. The problem is that Ollie now has to decide how much rent to charge each of the restaurant owners for the space they have in his court. McMole s owner said he used to pay $1, a month for a similarly sized space in a mall close by, so Ollie agreed to that price. If Ollie charges each of the other restaurant owners a rent in proportion to McMole s, how much should each restaurant owner pay each month for rent? 1 of 15

2 Write a letter to Ollie telling him how much he should charge each restaurant owner and how you made your determinations. 2 of 15

3 Suggested Grade Span 3 5 Task Ollie the Owl is opening a new food court in his local mall that will entice his fellow owl buddies. He is planning on having 7 restaurants in his food court, and he already has 7 restaurant owners ready to move in. The problem is that Ollie now has to decide how much rent to charge each of the restaurant owners for the space they have in his court. McMole s owner said he used to pay $1, a month for a similarly sized space in a mall close by, so Ollie agreed to that price. If Ollie charges each of the other restaurant owners a rent in proportion to McMole s, how much should each restaurant owner pay each month for rent? Write a letter to Ollie telling him how much he should charge each restaurant owner and how you made your determinations. Alternative Versions of Task More Accessible Version Ollie the Owl is opening a new food court in his local mall that will entice his fellow owl buddies. He is planning on having 5 restaurants in his food court, and he already has 5 restaurant owners ready to move in. The problem is that Ollie now has to decide how much rent to charge each of the restaurant owners for the space they have in his court. 3 of 15

4 McMole s owner said he used to pay $825 a month for a similarly sized space in a mall close by, so Ollie agreed to that price. If Ollie charges each of the other restaurant owners a rent in proportion to McMole s, how much should each restaurant owner pay each month for rent? More Challenging Version The original version, and After a year, Ollie has decided to increase each restaurant s rent by 5%. What will each restaurant owner now pay for rent? Context In science class, students had been dissecting owl pellets that contained the animal skeletons mentioned above. Before doing this task, students did "Mrs. Williamson's Quilting Quandary," a 6 8 task (also found on this CD). I wanted to see how students would apply the skills learned in reviewing that task to this new task. What This Task Accomplishes This task allows students to develop their spatial sense and reasoning. It allows them to practice interpreting a remainder, see the relationship between measurement and geometry and understand how the concept of congruent shapes can be applied. Time Required for Task minutes. Interdisciplinary Links As mentioned, this task was done when students were dissecting owl pellets in science class. The task helped to reinforce the diet of owls. The task could be adapted to fit other content area units as well. 4 of 15

5 Teaching Tips Most students will begin by noticing that Shrew Burgers should be charged the same rent as McMole s since the shapes are congruent and are merely a reflection of each other. The students then begin dividing McMole s into three equal parts and soon see how those parts can be used to determine the value of the other shapes (see possible solutions). When dividing McMole s rent, students realize the need to use approximate answers. Some students organized their work by color-coding, while others used diagrams with arrows. A few students measured McMole s to determine the area, then divided to get the cost per square centimeter and applied that knowledge in determining the other values. Suggested Materials Crayons Square centimeter grids on transparencies that students can lay over the diagram Rulers Calculators Scissors Possible Solutions Shrew Burgers: $1, Dear Mouse Delights and Creeping Vole s Deli: 1,100 3 = $ or $ Townshend Eatery and Bendire Shrew s Italian Cuisine: $ x 2 = $ House of Mouse: $ x 10 = $3, More Accessible Version Solution Shrew Burgers and McMole s: $825 Dear Mouse Delights and Creeping Vole s Deli: $275 House of Mouse: $275 x 5 = $1,375 More Challenging Version Solution Shrew Burgers: $1, Dear Mouse Delights and Creeping Vole s Deli: $ Townshend Eatery and Bendire Shrew s Italian Cuisine: $ House of Mouse: $3, Task-Specific Assessment Notes Novice The Novice will not have an approach that will work for the problem and finds solutions that are not close to the actual proportional rent. The Novice will use little or no math language to communicate the solution, and the solution will lack reasoning. 5 of 15

6 Apprentice The Apprentice will find an approach, but that approach will not lead to an accurate solution. The Apprentice will have a workable strategy for finding some, but not all, of the rents. The Apprentice will use some basic math language to communicate and may label the diagram presented in the task. Practitioner The Practitioner will find an approach that will lead to finding the correct amounts of rent that should be charged in proportion to McMole s. The Practitioner will use accurate and appropriate math language to communicate the solution and will use correct mathematical reasoning. Expert The Expert will find an approach that will lead to finding the correct amounts of rent that should be charged in proportion to McMole s. The Expert will use precise math language, such as appropriately using terms like area, congruent and proportion. The Expert will create an additional mathematical representation in which to display data. The Expert will explain her/his correct reasoning and will make mathematically relevant observations about the solution. 6 of 15

7 Novice 7 of 15

8 Novice 8 of 15

9 Apprentice 9 of 15

10 Practitioner 10 of 15

11 Practitioner 11 of 15

12 Practitioner 12 of 15

13 Expert 13 of 15

14 Expert 14 of 15

15 Expert 15 of 15