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# Massachusetts Comprehensive Assessment System

 Question 5: Open-Response Reporting Category: Number and Operations in Base TenStandard: 5.N.12 - Accurately and efficiently add and subtract whole numbers and positive decimals. Multiply and divide (using double-digit divisors) whole numbers. Multiply positive decimals with whole numbers.Standard: Mathematics.5.NBT.2.07 - Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Nora is riding her bicycle on a trail that is 18.5 miles long. She has already ridden 7.36 miles of the trail.Write an equation that can be used to find m, the number of miles Nora has left to complete on the trail.Use your equation from part (a) to find the total number of miles Nora has left to complete on the trail. Show your work.Nora wants to ride half the number of miles she has left and then take a break.How many more miles will Nora ride before she takes a break? Show or explain how you got your answer.

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

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Numbers and Operations in Base Ten concepts involved in adding, subtracting, multiplying, and dividing decimals to hundredths, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. The student writes an equation that can be used to determine the number of miles around a trail and uses the equation.
4
3
The student response demonstrates a good understanding of the Numbers and Operations in Base Ten concepts involved in adding, subtracting, multiplying, and dividing decimals to hundredths, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. 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 Numbers and Operations in Base Ten concepts involved in adding, subtracting, multiplying, and dividing decimals to hundredths, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. 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 Numbers and Operations in Base Ten concepts involved in adding, subtracting, multiplying, and dividing decimals to hundredths, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
0
The student response contains insufficient evidence of an understanding of the Numbers and Operations in Base Ten concepts involved in adding, subtracting, multiplying, and dividing decimals to hundredths, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction to merit any points.

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