Author: eduKate Asia

Understand why a negative scalar reverses vector direction, separate sign from scale, and verify scalar multiplication independently.

Understand why vector AB equals b minus a, diagnose reversed subtraction, and verify position-vector work independently.

Understand why one cubic metre equals 1,000,000 cubic centimetres, avoid cubing errors, and verify volume conversions.

Understand why one square metre equals 10,000 square centimetres, diagnose factor errors, and verify area conversions independently.

Understand why one cubic metre equals 1,000 litres, avoid factor errors, and check tank-capacity conversions independently.

Understand why 1 cubic centimetre equals 1 millilitre, diagnose unit-conversion errors, and check fresh independent work.

Understand why a sphere’s volume is 4/3πr³ using a cylinder-and-double-cone comparison, then check direct and reverse problems.

Understand why a sphere’s surface area is 4πr², distinguish radius from diameter, and check hemispheres and reverse problems.

Learn why a cone’s curved surface area is πrℓ by opening its net into a sector, then distinguish slant and perpendicular height.

Understand why pyramid volume is one third of base area times perpendicular height, diagnose common errors, and check independent work.