Anchor paper 526

Overall Achievement Level:

expert

Student Number:

Anchor Papers:

Problem Solving

expert

Problem Solving Rationale

The student's strategy of using a diagram to indicate the ladybugs and crickets Ben and Jill have in their jars, finding the total number of insects per jar, and comparing the totals to see if Dad is correct, works to solve the task. The student's answer, "Dad is rong," is correct. The student verifies that their answer is correct by using a new strategy of a tally chart. The student also applies the rules for addition with even and odd numbers.

Reasoning and Proof

expert

Reasoning Proof Rationale

The student shows correct reasoning of the underlying concepts of the task. The student understands that a total number of insects in each jar needs to be determined and the two totals compared to determine if Dad is correct. The student uses a tally chart to verify that their answer is correct and also applies the addition rules using odd and even numbers.

Communication Level

expert

Communication Rationale

The student correctly uses the mathematical terms key, diagram, more than, less than, more, tally, chart, odd, even, rules, addend, sum. The student correctly uses the notation "O + O = E" and "E + O = O" and defines the O (odd) and E (even) in the scribing.

Connections Level

expert

Connections RationaleAnchor paper 526

The student makes the mathematically relevant Practitioner observations, "I see that Ben has one more ladybug than Jill," "I see that Ben has two less crickets than Jill," and, "I see Jill has one more insect in her jar." The student makes the Expert connection by using a tally chart to verify that the student's answer is correct. The student states, "I used the same key for the ladybug and crickets. I got fourteen and fifteen again so I am correct. I proved it didn't I!" The student uses the odd and even rules. 9 + 5 = 14, O + O = E, 8 + 7 = 15, E + O = O. The student states, "I did O for Odd and E for Even. If you know them you know the answer is no."

Representation

expert

Representation Rationale

The student's diagram is appropriate and accurate. All necessary labels are included. The student's tally chart is appropriate and accurate. All necessary labels are included and supported by the student's text. The student compares their tally chart to their diagram to verify that their answer is correct.