Ms. Harley Rides to School
Anchor Papers:
Problem Solving
novice
Problem Solving Rationale
<p>The student's strategy of listing the miles Ms. Harley rides to school in decimals to the thousandths and subtracting $0.09 from $50.00 does not work to solve the first and second parts of the task. The student's first answer, "She drives 12.030 miles," is not correct. The student's second answer, "She has enough to drive," is not correct as it is based on incorrect reasoning.</p>
Reasoning and Proof
novice
Reasoning Proof Rationale
<p>The student does not demonstrate correct reasoning and proof of the underlying concepts of the task. The student is not able to notate decimals to the hundreds and tenths place. It is not clear if the student's notation—1.500, represents one and five-tenths or one and five hundreds as the student lists one and seven hundredths as 1.700. The student does not understand that the miles Ms. Harley rides to school have to include total miles for a round trip. The student does not show correct reasoning that the total miles for 20 round trips has to be multiplied by $0.09 to determine if the cost does not exceed $50.00.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>miles, money</i> from the task. The student correctly notates $50.00, $0.09, $49.91. The student does not earn credit for the decimal notation as it is used incorrectly to notate either hundredths or tenths of miles.</p>
Connections Level
novice
Connections RationaleMs. Harley Rides to School
<p>The student's statements, "She doesn't have a car," "She has a motorcycle," and "She drives it all the miles," are not considered mathematically relevant observations.</p>
Representation
novice
Representation Rationale
<p>The student does not construct a mathematical representation to support their solution.</p>