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 Percentages (Fractions in Disguise), Baudhayana–Pythagoras Theorem, Proportional Reasoning, Geometric Themes, Data (Dots and Lines), Algebra Play, and Area.
Chapter
Section
Subtopic
🔒 Coming Soon
01
Fractions in Disguise
⌄
Percentage ki Basics
- Percentage Kya Hai?
- Percentage Kahan-Kahan Use Hota Hai
- Kisi Cheez Ka Percentage
- Percentage Jaldi Kaise Nikalein
- Fraction ↔ Decimal ↔ Percentage
- 100% Se Zyada Percentage
- Percentage Se Comparison
Percentage in Real Life
- Percentage Increase aur Decrease
- Profit aur Loss
- Tax (GST)
- Growth aur Compounding
- Depreciation
Dimag Lagao
- Tricky Percentages
- Percentage Ki Mistakes Pakdo
02
The Baudhayana–Pythagoras Theorem
⌄
Topics
- Right-angled triangles aur hypotenuse
- Baudhayana–Pythagoras Theorem
- Square roots ka use
- Pythagorean triples
03
Proportional Reasoning–2
⌄
Topics
- Maps aur scale
- Do se zyada terms wale ratio
- Diye gaye ratio mein baantna
- Pie charts
- Inverse proportion
04
Exploring Some Geometric Themes
⌄
Topics
- Fractals: Sierpinski carpet, Sierpinski gasket, Koch snowflake
- Solid shapes aur nets
- Shortest paths
- Projections aur isometric drawings
05
Tales by Dots and Lines
⌄
Topics
- Mean aur median
- Frequencies aur data mein unknown values
- Line graphs padhna
- Spreadsheets aur infographics
06
Algebra Play
⌄
Topics
- Number tricks
- Number pyramids aur grids
- Algebraic patterns
- Algebra se tricks aur divisibility samjhana
07
Area
⌄
Topics
- Perimeter vs Area
- Triangle ka area
- Parallelogram aur rhombus ka area
- Trapezium ka area
- Polygons ka area
