A negative over a negative is a maybe
Sign rules are a poem. One extra minus in a fraction and the whole calculation is luck.
Class 7 maths
Rational numbers, simple linear equations, triangles and congruence language, percentage change, and more aggressive word problems. The algebra that was optional in Class 6 becomes the way the subject talks.
If integers and equivalent fractions are still shaky, rational numbers feel like nonsense. Equations are solved by ‘moving things’ as a ritual. Geometry becomes names to memorise rather than reasons.
Misconceptions
This is the section that should be citable: specific, ordered, and written from classroom pattern — not from a generic syllabus.
Sign rules are a poem. One extra minus in a fraction and the whole calculation is luck.
The child cannot say they are adding or subtracting the same amount from both sides. The ritual fails on 2x = x + 5.
‘Increase 40 by 10%’ and ‘10% of 40’ are the same sentence in their head.
Three short ones. A live session has more, at the child’s pace.
Solve 2x + 3 = 11 by doing the same to both sides. Say each step.
Undo, don’t teleport. The balance picture still matters.
A price of ₹40 becomes ₹44. What is the percentage increase?
Change over original, not 44 − 40 as a percent of 44.
Two angles on a straight line. One is 110°. The other?
A reason (‘straight line is 180°’), not a remembered pair.
Method marks mean the school can see an attempt. We want the reason to be true. A tidy wrong method is still a stuck concept.
Pay ₹99 for a 50-minute class with a named tutor. Then decide whether regular lessons are the right next step.