CharuMam Presents
📐 Class 8 Mathematics
NCERT New Syllabus 2024–25 · Complete Table of Contents
📘 Book 1 · 7 Chapters
📗 Book 2 · 7 Chapters
📘 Book 1 — 7 chapters covering Squares & Cubes, Powers, Number Systems, Quadrilaterals, Number Play, Distributive Property & Proportional Reasoning.
Chapter
Section
Subtopic
✅ Ready
🔒 Coming Soon
01
A Square and a Cube
⌄
1.1 Square Numbers
- Patterns and Properties of Perfect Squares
- ›Perfect Squares and Odd Numbers
- ›Perfect Squares and Triangular Numbers
- Square Roots
1.2 Cubic Numbers
- Taxicab Numbers
- Perfect Cubes and Consecutive Odd Numbers
- Cube Roots
- Successive Differences
1.3 A Pinch of History
- Historical context of Squares and Cubes
02
Power Play
⌄
2.1 Experiencing the Power Play
- An Impossible Venture!
2.2 Exponential Notation and Operations
- The Stones that Shine…
2.3 The Other Side of Powers
- Power Lines
2.4 Powers of 10
- Scientific Notation
2.5 Did You Ever Wonder?
- Linear Growth vs. Exponential Growth
- Getting a Sense for Large Numbers
- A Different Way to Say Your Age!
- Time in Seconds · A Pinch of History
03
A Story of Numbers
⌄
3.1 Reema’s Curiosity
- The Mechanism of Counting
3.2 Some Early Number Systems
- Use of Body Parts
- Tally Marks on Bones and Other Surfaces
- Number Names Obtained by Counting in Twos
- The Roman Numerals
3.3 The Idea of a Base
- The Egyptian Number System
- Variations and the Notion of Base
- Advantages of a Base-n System
- Abacus and the Decimal System
- Shortcomings of the Egyptian System
3.4 Place Value Representation
- The Mesopotamian Number System
- The Mayan Number System
- The Chinese Number System
- The Hindu Number System
04
Quadrilaterals
⌄
4.1 Rectangles and Squares
- A Carpenter’s Problem
- The Process of Finding Properties
- A Special Rectangle · Properties of a Square
4.2 Angles in a Quadrilateral
- Sum of interior angles
4.3 More Quadrilaterals with Parallel Opposite Sides
- Parallelogram properties
4.4 Quadrilaterals with Equal Side-Lengths
- Rhombus and its properties
4.5 Playing with Quadrilaterals
- Geoboard Activity
4.6 Kite and Trapezium
- Kite — properties and angles
- Trapezium — properties
05
Number Play
⌄
5.1 Is This a Multiple Of?
- Sum of Consecutive Numbers
- Breaking Even · Pairs to Make Fours
- Always, Sometimes, or Never · What Remains?
5.2 Checking Divisibility Quickly
- Shortcuts for 9, 3, and 11
- More Divisibility Shortcuts
- Digital Roots
5.3 Digits in Disguise
- Cryptarithmetic / Letter puzzles
06
We Distribute, Yet Things Multiply
⌄
6.1 Some Properties of Multiplication
- Increments in Products · A Pinch of History
Fast Multiplications Using Distributive Property
- Application in fast calculations
6.2 Special Cases of Distributive Property
- Square of the Sum — (a+b)²
- Square of the Difference — (a−b)²
- Investigating Patterns
6.3 Mind the Mistake, Mend the Mistake
- Error spotting in algebraic steps
6.4 This Way or That Way
- Multiple solution paths for same problem
07
Proportional Reasoning – 1
⌄
7.1 Observing Similarity in Change
- Direct variation, constant ratios
7.2 Ratios
- Understanding and comparing ratios
7.3 Ratios in their Simplest Form
- HCF method for simplification
7.4 Problem Solving with Proportional Reasoning
- Filter Coffee! · Trairasika — The Rule of Three
7.5 Sharing, but Not Equally!
- Unequal sharing using ratios
7.6 Unit Conversions
- Length, mass, time conversions using ratios
📗 Book 2 — 7 chapters covering Geometric Twins, Integers, HCF/LCM, Decimals, Data Handling, Constructions & Tilings, and Linear Equations.
Chapter
Section
Subtopic
🔒 Coming Soon
01
Geometric Twins
⌄
1.1 Geometric Twins
- Introduction to congruent figures
1.2 Congruence of Triangles
- Measuring the Side-Lengths · Conventions to Express Congruence
- Measuring the Angles
- Two Sides + Included Angle · Two Sides + Non-Included Angle
- Two Angles + Included Side · Two Angles + Non-Included Side
- Two Sides in a Right Triangle
1.3 Isosceles and Equilateral Triangles
- Angles in an Equilateral Triangle
02
Operations with Integers
⌄
2.1 A Quick Recap of Integers
- Carrom Coin Integers
2.2 Multiplication of Integers
- Patterns in Integer Multiplication
- Brahmagupta’s Rules for Multiplication and Division
- A Magic Grid of Integers · Division of Integers
- Expressions Using Integers · Pick the Pattern
03
Finding Common Ground
⌄
3.1 The Greatest of All (HCF)
- Primes · Prime Factorisation · Procedure
- Factors and HCF Using Prime Factorisation
3.2 Least, but Not Last! (LCM)
- Finding LCM through Prime Factorisation
3.3 Patterns, Properties, and a Pretty Procedure!
- Efficient Procedures for HCF and LCM
- Property Involving both HCF and LCM
04
Another Peek Beyond the Point
⌄
4.1 A Quick Recap of Decimals
- Review of decimal concepts
4.2 Decimal Multiplication
- Is the Product Always Greater than the Numbers Multiplied?
4.3 Decimal Division
- Division Using Place Value
- Division with Decimal Quotient / Dividend
- Does This Ever End? · A Magic Number: 142857
- Dividend, Divisor, and Quotient
4.4 Look Before You Leap!
- Making an Adjustment (×3 variations)
05
Connecting the Dots
⌄
5.1 Of Questions and Statements
- Framing statistical questions
5.2 Representative Values
- Average as Fair-Share · Know Your Onions!
- Outliers and Medians
- Are You a Bookworm? · Are We on the Same Page?
- Of Ends and the Essence · How Tall is Your Class?
- How Long is a Minute? · Zero vs. No Value
5.3 Visualising Data
- Clubbing the Columns · 10…9…8… Take Off!
- Summer and Winter at the Same Time · All it Takes is a Minute
5.4 Data Detective
- Telling Tall Tales
06
Constructions and Tilings
⌄
6.1 Geometric Constructions
- Construction of Perpendicular Bisector
- Construction of a 90° Angle · Sulba-Sutras Methods
- Steps to Copy an Angle · Line Parallel to Given Line
- Arch Designs
- ›A Pointed Arch
- ›Regular Hexagons and Equilateral Triangles
6.2 Tiling
- Tessellations and tiling patterns
07
Finding the Unknown
⌄
7.1 Find the Unknowns
- Unknown Weights · Matchstick Pattern
7.2 Solving Equations Systematically
- Solving Problems · Generating Equations
7.3 Mind the Mistake, Mend the Mistake
- Error spotting in equation solving
7.4 A Pinch of History
- Historical development of algebra