65. A teacher is assessing student knowledge of number relationships by using a ten-frame card with 5 counters on it. The teacher asks a student to change the ten-frame card so there are 8 counters. Which of the following student responses best demonstrates an understanding of the part-part-whole relationship between 5 and 8?
Answer: A
The student adds 3 counters to the ten-frame card.
Adding 3 counters to the ten-frame card demonstrates an understanding of the part-part-whole relationship between 5 and 8, as the student recognizes that 5 plus 3 equals 8.
A) The student adds 3 counters to the ten-frame card.
This response correctly illustrates the part-part-whole relationship because it shows the student understands that to reach a total of 8 counters, they must add the difference (3) to the existing 5 counters. This indicates a clear comprehension of how parts combine to form a whole.
B) The student counts up from 5 until there are 8 counters.
While this response shows that the student can incrementally reach the desired total of 8, it does not explicitly demonstrate an understanding of the part-part-whole relationship. Counting up from 5 to 8 lacks the mathematical operation of addition that connects the two quantities directly.
C) The student clears the ten-frame card and counts by ones to 8.
This response indicates that the student can identify the number 8 but does not illustrate an understanding of how to manipulate the existing quantity of 5 counters to achieve the new total. Clearing the ten-frame card ignores the relationship between the two numbers.
D) The student fills the ten-frame card and then removes 2 counters.
This response does not effectively demonstrate an understanding of the part-part-whole relationship between 5 and 8. Instead, it introduces unnecessary steps by filling the frame first and then removing counters, which could lead to confusion about the original amount and the desired total.
Conclusion
The correct answer, where the student adds 3 counters, directly shows comprehension of how the two parts (5 and 3) combine to make the whole (8). The other options fail to convey this understanding clearly, either by not directly addressing the relationship or by complicating the process unnecessarily. Thus, Option A is the most effective demonstration of the concept being assessed.