Ms. Harley Rides to School
Anchor Papers:
Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of using a number line to show the distance in miles Ms. Harley rides between locations from home to school works to solve the first part of the task. The student solves the rest of the task by computing the number of miles she drives in a round trip, in five days, four weeks and, how much money Ms. Harley uses for gas. The student's answers, "23 miles," and "she does 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 determine the four distances in hundredths and tenths of a mile and the total miles Ms. Harley travels to school and home in one day. The student demonstrates correct reasoning by computing to find the total round trip miles for one day, five days, and four weeks. The student demonstrates correct reasoning for computing and notating money to determine the cost of gas to travel 20 round trips to school and comparing that cost to $50.00. The student also shows conceptual understanding of showing a decimal as its equivalent fraction and simplifying the fraction.</p>
Communication Level
practitioner
Communication Rationale
<p>The student correctly uses the mathematical terms <i>miles, day, weeks, distance, cost</i> from the task. The student also correctly uses the terms <i>number line, most, decimals</i>. The student correctly uses the mathematical notation 3.45, 5.48, 1.07, $50.00, 1.50, 11.50, 23.00, $.09, $41.40, 11 1/2, 22 2/2.</p>
Connections Level
expert
Connections RationaleMs. Harley Rides to School
<p>The student makes mathematically relevant Practitioner connections. The student states, "Lakeland to Centerville is most distance between towns or school 5.48 miles," and "no distance is not in decimals. She is very careful when she measures distances." The student makes an Expert connection by using calculation to explain how fractions can replace decimals and arrive at the same answer of 23 miles. The student states "I see 11 1/2 is 11.50 miles to school + 11 1/2 is 11.50 miles to home = 22 2/2 = 23 miles too."</p>
Representation
practitioner
Representation Rationale
<p>The student's number line is appropriate to the task and accurate. All labels are included, the intervals are accurate, and the "jumps" are correct.</p>