Syllabus

The complete chapter-and-topic map of the book, aligned to the NCERT Ganita Prakash (Grade 8, Parts I & II). Click any chapter to open its overview, or jump straight to a numbered topic.

Part I: Foundations

1A Square and A Cube7 topics

1.1A Row of Glass Cabinets 1.2Square Numbers 1.3Cubic Numbers 1.4A Pinch of History 1.5Going Deeper (Exam Prep) 1.6Summary & Closing Puzzle 1.7Check Your Understanding

2Power Play10 topics

2.1Feeling the Force of Powers 2.2Exponential Notation and Operations 2.3The Other Face of Powers 2.4Powers of 10 2.5Have You Ever Wondered? 2.6A Pinch of History 2.7Going Deeper (Exam Prep) 2.8Summary 2.9Explore: Power Calculator & Laws Explorer 2.10Check Your Understanding

3A Story of Numbers7 topics

3.1Anaya's Puzzle 3.2Some Early Number Systems 3.3The Idea of a Base 3.4Place Value Representation 3.5Going Deeper (Exam Prep) 3.6Summary 3.7Check Your Understanding

4Quadrilaterals9 topics

4.1A Frame-Maker's Puzzle 4.2Rectangles and Squares 4.3Angles in a Quadrilateral 4.4Parallelograms 4.5Quadrilaterals with Equal Sides, the Rhombus 4.6Kite and Trapezium 4.7Going Deeper (Exam Prep) 4.8Summary 4.9Check Your Understanding

5Number Play7 topics

5.1Is This a Multiple Of? 5.2Checking Divisibility Quickly 5.3Digits in Disguise 5.4A Game to Play: Navakankari 5.5Going Deeper (Exam Prep) 5.6Summary 5.7Check Your Understanding

6We Distribute, Yet Things Multiply8 topics

6.1Some Properties of Multiplication 6.2Fast Multiplication Using Distributivity 6.3Special Cases of the Distributive Property 6.4Mind the Mistake, Mend the Mistake 6.5This Way or That Way, All Ways Lead to the Bay 6.6Going Deeper (Exam Prep) 6.7Summary & Closing Puzzle 6.8Check Your Understanding

7Proportional Reasoning-110 topics

7.1Observing Similarity in Change 7.2Ratios 7.3Ratios in their Simplest Form 7.4Problem Solving with Proportional Reasoning 7.5Trairāśika, The Rule of Three 7.6Sharing, but Not Equally! 7.7Unit Conversions 7.8Going Deeper (Exam Prep) 7.9Summary 7.10Check Your Understanding

Part II: Building on the Foundations

8Fractions in Disguise9 topics

8.1A Number in Disguise 8.2Fractions as Percentages 8.3Percentage of a Quantity 8.4Using Percentages 8.5Growth and Compounding 8.6Tricky Percentages 8.7Going Deeper (Exam Prep) 8.8Summary 8.9Check Your Understanding

9The Baudhayana–Pythagoras Theorem12 topics

9.1Doubling a Square 9.2Halving a Square 9.3The Hypotenuse of an Isosceles Right Triangle 9.4Combining Two Different Squares 9.5Right Triangles with Whole-Number Sides 9.6An Extra Proof: Rearranging Four Triangles 9.7Distances on a Grid 9.8A Long-Standing Open Problem 9.9Further Applications 9.10Going Deeper (Exam Prep) 9.11Summary & Closing Puzzle 9.12Check Your Understanding

10Proportional Reasoning-29 topics

10.1Proportionality, A Quick Recap 10.2Ratios in Maps 10.3Ratios with More than Two Terms 10.4Dividing a Whole in a Given Ratio 10.5A Slice of the Pie 10.6Inverse Proportions 10.7Going Deeper (Exam Prep) 10.8Summary 10.9Check Your Understanding

11Exploring Some Geometric Themes7 topics

11.1Fractals 11.2Visualising Solids 11.3Try the Euler's-Formula Checker 11.4More Practice 11.5Going Deeper (Exam Prep) 11.6Summary 11.7Check Your Understanding

12Tales by Dots and Lines11 topics

12.1The Balancing Act 12.2Tinkering with the Median 12.3Mean and Median with Frequencies 12.4Spreadsheets 12.5Visualising and Interpreting Data 12.6Beyond Lines: Infographics and Strips 12.7Going Deeper (Exam Prep) 12.8Summary 12.9Explore: The Balance-Point Checker 12.10Explore: Frequency-Table Calculator 12.11Check Your Understanding

13Algebra Play9 topics

13.1Algebra Comes Out to Play 13.2Thinking About 'Think of a Number' Tricks 13.3Number Pyramids 13.4Fun with Grids 13.5The Largest Product 13.6Decoding Divisibility Tricks 13.7Going Deeper (Exam Prep) 13.8Summary 13.9Check Your Understanding

14Area8 topics

14.1Rectangles and Squares 14.2The Area of a Triangle 14.3The Area of Any Polygon 14.4Special Shapes by Dissection 14.5Areas in Real Life 14.6Going Deeper (Exam Prep) 14.7Summary 14.8Check Your Understanding