In a bag there are 2 red buttons, 3 green buttons, and 4 purple buttons. A student writes the ratio for the number of purple buttons to green buttons as 3:4 . Is this student correct? Explain why or why not.(2 points)
Math Short Answer Rubric (2 points)
Points Awarded Criteria
2
The answer is correct. The student made no errors while solving.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
1
The answer is partially correct. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Some work is shown or explained.
0 The question is not answered.
The student is not correct. The ratio for the number of purple buttons to green buttons is 4:3, not 3:4. This is because there are 4 purple buttons and 3 green buttons. The order of the ratio matters, so switching these numbers changes the ratio.
To determine if the student is correct, we should compare the actual ratio of purple buttons to green buttons with the ratio mentioned by the student.
We are given that there are 3 purple buttons and 4 green buttons.
The ratio mentioned by the student is 3:4, which means for every 3 purple buttons, there are 4 green buttons.
To verify if this ratio is correct, we need to check if the actual ratio of purple buttons to green buttons is also 3:4.
The actual ratio of purple buttons to green buttons is 3:4, which is the same as the ratio mentioned by the student.
Therefore, the student is correct.
To determine if the student is correct in writing the ratio for the number of purple buttons to green buttons as 3:4, we need to check if the ratio is accurate based on the given information.
In the given bag, there are 2 red buttons, 3 green buttons, and 4 purple buttons.
The ratio of purple buttons to green buttons is written as 3:4. This means that for every 3 purple buttons, there are 4 green buttons.
Let's check if this ratio is accurate based on the given information:
Number of purple buttons = 4
Number of green buttons = 3
The ratio of purple buttons to green buttons would be 4:3, not 3:4.
Therefore, the student is incorrect in writing the ratio as 3:4. The correct ratio is 4:3.
To arrive at this answer, here are the steps to follow:
1. Identify the number of purple buttons and the number of green buttons in the bag.
2. Write the ratio as the number of purple buttons to the number of green buttons.
3. Compare the ratio written by the student with the actual ratio to determine if they are correct or not.
By following these steps, you can determine if the student is correct in their explanation.