Remediate Student Misconceptions – Maths

Time limit: 0

0 of 1 Questions completed

Questions:

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading…

You must sign in or sign up to start the quiz.

You must first complete the following:

Quiz complete. Results are being recorded.

0 of 1 Questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 point(s), (0)

Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)

Correct Response: Option B

Around 50% of the teachers chose the right option. Around 20% of teachers chose option C and D each.

This question tests for teacher’s knowledge of pedagogical sequence of topics in order to remediate misconceptions in students.

The expansion of the identity (a-b)2 can be explained by using multiplication of binomials as follows:

(a-b)2 = (a – b) x (a – b)

           = a x (a – b) – b x (a – b)

           = (a x a) – (a x b) – (b x a) + (b x b)

           = a2 – 2ab + b2

Hence, Option B is the correct answer.
- (a-b)2 expansion involves addition of two negative terms. Also, subtraction of polynomials does not help explain how b2 has a positive sign instead of a negative sign. Hence, option A is incorrect.
- The students might have applied the distributive property incorrectly to arrive at a2 – b2 by using the logic that the square of (a – b) is equal to sum of the square of the terms inside. Distributive property is just a part of the procedural expansion of multiplication of binomials. Hence, it won’t help resolve the misconception.
- The laws of exponents are used to simplify powers of numbers with same bases where they are multiplied or divided. This can’t be used to explain the identity. Hence, Option D is incorrect.