Number System – Important concepts

Number System

• Number System – Best explained with real life examples
• Distributive property of multiplication over addition and subtraction
• Associative property of addition and multiplication 
• Closure property
  • Natural Numbers
  • Whole Numbers & Integers
  • Rational Numbers
• Additive Identity, Multiplicative identity, Additive inverse, Reciprocal
• Commutative law explained for basic arithmetic operations
• Rational Numbers
  • Find a rational number between any two rational numbers
  • Rational numbers are infinitely many
  • Mean method : Infinitely many rational numbers between any two rational numbers
• Integers
  • Integers are infinitely many

Polynomials

• Basics of polynomials
• Remainder theorem
• Factor theorem
• Factorise – Splitting the middle term
• Algebraic Identities
• Rational root theorem

Important Concepts - Miscellaneous

• Derivation of Heron’s formula

Surface area and Volumes

• Area / Surface area / Volume – Introduction
• Surface Area of Cube and Cuboid
• Volume Of Cuboid and Cube
• Surface Area of Right Circular Cylinder
• Volume and capacity of Cylinder
• Right circular Cone
• Surface Area of Right circular Cone
• Volume of Cylinder vs Cone
• Litres and Cubic centimetre (cm³)
• Cubic meters to litres