ParaPro Classroom Application of Mathematics Concepts 5 — Questions and Answers
Question 1: A student adds 456 + 278 and gets 624. What error did the student most likely make?
- Forgot to carry the tens digit when ones sum exceeded 9 (Correct answer)
- Added the hundreds before the ones
- Skipped the tens column entirely
- Subtracted instead of adding
Correct answer: Forgot to carry the tens digit when ones sum exceeded 9
6 + 8 = 14; the student likely wrote 4 but forgot to carry the 1 to the tens column, producing 624 instead of 734.
Question 2: A paraprofessional is supporting a small group working on data interpretation. A bar graph shows that 12 students prefer soccer and 8 prefer basketball. A student asks, 'How many more students prefer soccer?' What is the correct response to model?
- 20 students
- 4 students (Correct answer)
- 12 students
- 8 students
Correct answer: 4 students
Comparing two quantities on a bar graph uses subtraction: 12 − 8 = 4 more students prefer soccer.
Question 3: A student is simplifying the fraction 8/12 and is unsure how to proceed. What should a paraprofessional suggest as the first step?
- Add the numerator and denominator
- Find the greatest common factor of 8 and 12, then divide both by it (Correct answer)
- Convert to a decimal first
- Multiply both numbers by 2
Correct answer: Find the greatest common factor of 8 and 12, then divide both by it
Finding the GCF (which is 4) and dividing both numerator and denominator by it gives the simplest form: 2/3.
Question 4: During a word problem activity, a student reads: 'Maria has 3 bags with 6 apples each. How many apples does she have?' The student draws 3 groups of 6 dots. Which operation does this model?
- Division
- Addition only
- Multiplication (Correct answer)
- Subtraction
Correct answer: Multiplication
Drawing equal groups and finding the total models multiplication: 3 × 6 = 18.
Question 5: A paraprofessional notices a student confuses perimeter and area. Which real-world example BEST illustrates perimeter?
- The amount of carpet needed to cover a floor
- The number of ceiling tiles in a room
- The length of fencing needed to enclose a yard (Correct answer)
- The volume of water in a fish tank
Correct answer: The length of fencing needed to enclose a yard
Fencing goes around the outside edge of a yard, making it a direct real-world model of perimeter.
Question 6: A student is asked to estimate 49 × 6. Which estimation strategy should a paraprofessional recommend?
- Round 49 down to 40 and multiply: 40 × 6 = 240
- Round 49 up to 50 and multiply: 50 × 6 = 300 (Correct answer)
- Add 49 six times on paper for an exact answer
- Round 6 up to 10 and multiply: 49 × 10 = 490
Correct answer: Round 49 up to 50 and multiply: 50 × 6 = 300
Rounding 49 to the nearest ten (50) gives 50 × 6 = 300, a quick and accurate estimate.
Question 7: A student plots the point (3, 5) on a coordinate grid but places it at (5, 3) instead. What misunderstanding does this reveal?
- The student does not know how to count
- The student reversed the x- and y-coordinates (Correct answer)
- The student cannot read numbers above 3
- The student plotted the point in the wrong quadrant
Correct answer: The student reversed the x- and y-coordinates
In an ordered pair (x, y), x represents horizontal movement and y represents vertical movement; the student swapped these.
ParaPro Classroom Application of Mathematics Concepts 5
A student adds 456 + 278 and gets 624.
What error did the student most likely make?