Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Lunch at the Hot Dog Cart 18 third graders, their teacher and a bus driver are really excited because they are going on a field trip to the aquarium. They are also going to stop at the Hot Dog Hut for lunch because everyone going on the trip loves hot dogs. When you order 3 hot dogs at the Hot Dog Hut, you get a free drink. If everyone going on the trip orders 1 hot dog, how many drinks will they have to buy? Hot dogs cost $1.25 and drinks cost 75 cents. How much money will they spend at the Hot Dog Hut? Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 1 of 8 Lunch at the Hot Dog Cart Suggested Grade Span 3–5 Grade(s) in Which Task Was Piloted 3 and 4 Task 18 third graders, their teacher and a bus driver are really excited because they are going on a field trip to the aquarium. They are also going to stop at the Hot Dog Hut for lunch because everyone going on the trip loves hot dogs. When you order 3 hot dogs at the Hot Dog Hut, you get a free drink. If everyone going on the trip orders 1 hot dog, how many drinks will they have to buy? Hot dogs cost $1.25 and drinks cost 75 cents. How much money will they spend at the Hot Dog Hut? Alternative Versions of Task More Accessible Version: 18 third graders, their teacher and a bus driver are really excited because they are going on a field trip to the aquarium. They are also going to stop at the Hot Dog Hut for lunch because everyone going on the trip loves hot dogs. Everyone going on the trip will order 1 hot dog and 1 drink. Hot dogs cost $1.25 and drinks cost 75 cents. How much money will they spend at the Hot Dog Hut? More Challenging Version: 18 third graders, their teacher and a bus driver are really excited because they are going on a field trip to the aquarium. They are also going to stop at the Hot Dog Hut for lunch because everyone going on the trip loves hot dogs. When you order 3 hot dogs at the Hot Dog Hut, you get a free drink. If everyone going on the trip orders 1 hot dog, how many drinks will they have to buy? Hot dogs cost $1.25 and drinks cost 75 cents. How much money will they spend in all at the Hot Dog Hut? If each person pays a fair share of the bill, how much money will each person have to contribute? Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 2 of 8 NCTM Content Standards and Evidence Number and Operations Standard for Grades 3–5: Instructional programs from prekindergarten through grade 12 should enable students to ... Compute fluently and make reasonable estimates. • NCTM Evidence: Develop and use strategies to estimate computations involving fractions and decimals in situations relevant to students’ experience. • Exemplars Task-Specific Evidence: This task requires students to multiply amounts of money to determine a total, to divide a whole number, to interpret a remainder and to find a total sum of money. Time/Context/Qualifiers/Tip(s) From Piloting Teacher This is a medium-length task. Links This task could be adapted to the circumstances of any field trip you might be planning. Common Strategies Used to Solve This Task Students familiar with multiplication will use it to solve the task. Other students will need to use repeated addition. Many students will rely on diagrams to determine the number of free drinks. Possible Solutions 20 people x $1.25 = $25.00 (total price of hot dogs) 20 ÷ 3 = 6 free sodas, so 14 must be purchased 14 x $0.75 = $10.50 (total price of sodas) $25.00 + $10.50 = $35.50 for the total bill More Accessible Version Solution: 20 people x $1.25 = $25.00 (total price of hot dogs) 20 people x $0.75 = $15.00 (total price of sodas) $25.00 + $15.00 = $40.00 for the total bill Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 3 of 8 More Challenging Version Solution: 20 people x $1.25 = $25.00 (total price of hotdogs) 20 ÷ 3 = 6 free sodas, so 14 must be purchased 14 x $0.75 = $10.50 (total price of sodas) $25.00 + $10.50 = $35.50 for the total bill $35.50 ÷ 20 = 10 people will have to pay $1.77 and 10 people will have to pay $1.78. Task-Specific Assessment Notes General Notes This task has more than one part, so it is imperative for students to successfully address both parts to move beyond Apprentice. Novice The Novice will show little or no correct mathematical reasoning. Some reference to data presented in the task may be made, but the reference will not advance the solution. Apprentice The Apprentice will have a partially correct solution. An incorrect solution may be reached because of an omission or computation error. Some math language may be used, and diagrams may be present to communicate an aspect of the solution. Practitioner The Practitioner will have a correct and complete answer to both parts of the task. All work will be shown and organized. Relevant observations may be made, but they will not advance the solution. Expert The Expert will achieve a correct solution that is succinct and supported with mathematical evidence. The Expert will use precise math language and representations to communicate the solution. The Expert will extend the solution by verifying for correctness or by extending the task to make it more complicated. Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 4 of 8 Novice Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 5 of 8 Apprentice Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 6 of 8 Practitioner Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 7 of 8 Expert Lunch at the Hot Dog Cart Copyright 2008, Exemplars, Inc. All rights reserved. 8 of 8