Ms. Harley Rides to School
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of using a table to show the distance in miles Ms. Harley rides between locations from home to school and using computation to find the total miles she rides to school and home in one day works to solve the first part of the task. The student solves the second part of the task by computing the number of miles she drives in 20 days and how much money Ms. Harley uses for gas. The student's answers, "23 miles," and "She spent $41.40 in 4 weeks. She did not go over her budget," are correct.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student demonstrates correct reasoning of the underlying concepts of the task. The student correctly uses decimal notation to define the four distances in hundreds and tenths of a mile, and the total miles Ms. Harley travels to school and home in one day and 20 days. The student demonstrates correct reasoning by computing and using money notation to determine $41.40 as the total cost of gas needed for 20 days and comparing that total to $50.00.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>miles, day, weeks, total, cost</i> from the task. The student also correctly uses the terms <i>number line, data, mileage, month</i>. The student correctly uses the mathematical notation 3.45, 5.48, 1.07, 1.50, 3.45, 8.93, 10.00, 11.50, 23.00, $.09, $41.40, $50.00, $8.60.</p>
Connections Level
practitioner
Connections RationaleMs. Harley Rides to School
<p>The student makes mathematically relevant connections. The student states, "Her longest route part was Lake Land to centerville," "Her shortest route part was Centerville to Sunrise City." The student uses computation to determine "7 days x 4 weeks is 28 days—a month, 5 days x 4 weeks is 20 days she rides to school = 8 days at home." The student computes $50.00 - $41.40 = $8.60 and divides that difference by 9 (cents) to determine that, "she has enuf money for 95 more miles."</p>
Representation
practitioner
Representation Rationale
<p>The student's table is appropriate to the task and accurate. All labels are included and all entered data is correct.</p>