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 the student's understanding of the part-part-whole relationship between 5 and 8 because it shows they recognize that 5 plus 3 equals 8.
A) The student adds 3 counters to the ten-frame card.
This option is correct as it illustrates the part-part-whole relationship effectively. The student identifies that to reach a total of 8 counters from an initial 5, they need to add 3 more counters, which directly reflects their understanding of how parts combine to form a whole.
B) The student counts up from 5 until there are 8 counters.
While this response shows the student is aware that they need to increase the number of counters, it does not explicitly demonstrate an understanding of the part-part-whole relationship. The student is simply counting rather than manipulating the counters to illustrate the addition.
C) The student clears the ten-frame card and counts by ones to 8.
This option does not demonstrate an understanding of the part-part-whole relationship at all. By starting from scratch, the student misses the opportunity to connect the existing quantity of 5 to the desired total of 8, thus failing to recognize how the addition relates to the original number.
D) The student fills the ten-frame card and then removes 2 counters.
This response indicates some understanding of number manipulation but does not directly show the relationship needed to understand how to reach 8 from 5. The process of filling the card and then removing counters could confuse the concept of addition required to reach the target number.
Conclusion
The correct answer, where the student adds 3 counters, clearly illustrates their grasp of the relationship between the numbers 5 and 8, fulfilling the requirement of the question. Other options either lack direct connection to the part-part-whole understanding or misrepresent the task of increasing the count from the existing number.