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Massachusetts Comprehensive Assessment System

2017, Grade 10 Mathematics

Download PDF Document  Question 20: Open-Response no calculator allowed
Stuart wrote the expression shown below.
16+82÷4-4
  1. What is the value of Stuart's expression? Show or explain how you got your answer.
  2. In your Student Answer Booklet, insert one set of parentheses into Stuart's expression so that the value of the expression is undefined. Show or explain how you got your answer.
Talia wrote the expression shown below.
16+82÷4·2-4
Talia found the value of her expression using the following steps:

Step 1: 16+64÷4·2-4
Step 2: 80÷4·2-4
Step 3: 80÷8-4
Step 4: 10-4
Step 5: 6
  1. Is the value that Talia found for her expression correct? Explain your reasoning.
Talia removed the set of parentheses from her expression to create the new expression shown below.
16+82÷4·2-4
  1. What is the value of Talia's new expression? Show or explain how you got your answer.

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 mathematical problems and applying properties of operations to calculate with numbers in any form. The student assesses the evaluation of a given expression.
4
3 The student response demonstrates a good understanding of the Number and Quantity concepts involved in solving multi-step mathematical problems and applying properties of operations to calculate with numbers in any form. 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 mathematical problems and applying properties of operations to calculate with numbers in any form. 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 a minimal understanding of the Number and Quantity concepts involved in solving multi-step mathematical problems and applying properties of operations to calculate with numbers in any form.
0 The student response contains insufficient evidence of an understanding of the Number and Quantity concepts involved in solving multi-step mathematical problems and applying properties of operations to calculate with numbers in any form to merit any points.

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

Grade 10 Mathematics

Question 17: Geometry
Question 20: Number and Quantity
Question 21: Statistics and Probability
Question 36: Algebra and Functions
Question 41: Geometry
Question 42: Algebra and Functions

Return to the MCAS 2017 Student Work Directory



Last Updated: April 7, 2017
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