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Massachusetts Comprehensive Assessment System

2013, Grade 10 Mathematics

  Question 20: Open-Response no calculator allowed
The table below shows the numbers of tickets sold for three professional baseball games at a stadium.
Baseball Game Ticket Sales
 
DayNumber of Tickets Sold
Friday31,937
Saturday28,359
Sunday38,031
  1. Estimate the difference in the number of tickets sold for Friday’s game and the number of tickets sold for Sunday’s game. Show or explain how you got your estimate.
For Saturday’s game, the stadium ticket office sold 71.6% of the total number of tickets available.
  1. Estimate the total number of tickets that were available for Saturday’s game. Show or explain how you got your estimate.
The table below shows the prices of tickets that the stadium ticket office sells.
Prices of Tickets
 
Type of TicketPrice
bleacher$11.25
pavilion$24.75
grandstand$53.75
An equal number of bleacher, pavilion, and grandstand tickets are available for each game.
  1. Estimate the average price, in dollars, of a ticket at the stadium. Show or explain how you got your estimate.
  2. Use your answer from part (c) to estimate the total amount of money, in dollars, the stadium ticket office received in ticket sales for the games on Friday, Saturday, and Sunday. Show or explain how you got your estimate.

Scoring Guide and Sample Student Work
Select a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Number and Quantity concepts involved in solving multi-step real-life problems and assessing the reasonableness of answers using estimation strategies. The student makes estimates based on ticket sales and prices.
4
3 The student response demonstrates a good understanding of the Number and Quantity concepts involved in solving multi-step real-life problems and assessing the reasonableness of answers using estimation strategies. Although there is significant evidence that the student was able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result, the response merits 3 points.
2 The student response demonstrates a fair understanding of the Number and Quantity concepts involved in solving multi-step real-life problems and assessing the reasonableness of answers using estimation strategies. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 2 points.
1 The student response demonstrates only minimal understanding of the Number and Quantity concepts involved in solving multi-step real-life problems and assessing the reasonableness of answers using estimation strategies.
0 The student response contains insufficient evidence of an understanding of the Number and Quantity concepts involved in solving multi-step real-life problems and assessing the reasonableness of answers using estimation strategies to merit any points.

Note: There are 2 sample student responses for Score Point 4.

Grade 10 Mathematics

Question 17: Statistics and Probability
Question 20: Number and Quantity
Question 21: Algebra and Functions
Question 31: Algebra and Functions
Question 41: Geometry
Question 42: Geometry

Return to the MCAS 2013 Student Work Directory



Last Updated: March 17, 2016
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