It is usually the practice that lower classes of a schooling system be used as a base for the higher classes. It thus becomes an onerous task for NCERT solutions for Class 9 to be the base for study of math in the class 10. The depth and breadth of the subject in the lower class would to an extent decide on the future progress and grasp of the subject in a higher class.
The right balance
The need to have a balanced approach to teaching math or for that matter any subject in the lower classes cannot be emphasized enough. An approach that tries to bring a blend of depth in the subject without really causing burnout in students is what is desired for math NCERT solutions class 10. With mathematics it is possible to arrive at a solution using more than a single method. The right blend of theory and practice would get the student to decide on the most opportune method available.
With the numerous types of text books and aids that help out students, the need to be balanced in approach could well see the students through the toughest grinds. Rest assured that the most learnt of gurus of math were all at one time pupils of the subject too.
The importance of marks
Marks in any subject are a sure fire way of gauging how well a student has got to grasp the material. If a particular body of students is consistently doing well in NCERT solutions for Class 9, then for good measure it can be taken that they do indeed know the subject. This is particularly so for a subject like math where the performance can be quantified. There are a lot of instances where the end result cannot be tabulated and presented in columns. This would be true of humanities subjects like English and History. This is when a call has to be taken from past experience.
The all around involvementIt is not just that teachers would go about their ways without any feedback from the students. Most math NCERT solutions class 10 is best handled with regular feedback from the student body. Thus, an effective correlation can be established on the efficacy of instruction and helps plan out the teaching calendar. Most schools do have a system where the particular tutor is evaluated periodically to help with improvement of standards of instructions.