Class 6 Maths, Ganita Prakash: a chapter-by-chapter guide

Ganita Prakash (“the light of mathematics”) is NCERT’s Class 6 Maths textbook. It looks different from older books: fewer pages of solved sums, more puzzles, stories and “figure it out” questions. That is deliberate. It wants children to think like mathematicians: notice a pattern, guess, check, and explain why.

Here is what each chapter teaches, and what to watch for. Every chapter has short video lessons, notes and a chapter test on beMahan.

1. Patterns in Mathematics

What maths really is: the search for patterns. Children look at number sequences (counting numbers, odd numbers, square and triangular numbers), picture them with dots, and discover surprises such as adding up odd numbers always gives a square number. It ends with patterns in shapes and the Koch snowflake.

Focus on: drawing the dot pictures. A child who can draw why 1 + 3 + 5 = 9 makes a square has understood the chapter. Watch the lessons →

2. Lines and Angles

Points, line segments, lines and rays; then angles as an amount of turn. Children compare angles, name right, straight, acute and obtuse angles, and learn to measure in degrees with a protractor.

Where children get stuck: reading the protractor’s two scales. Always ask “which arm starts at zero?” before reading a number. Watch the lessons →

3. Number Play

Numbers that “tell us things”: supercells, palindromes, digit sums, the Kaprekar number 6174, the Collatz conjecture, mental maths and estimation. It is a playful chapter; the goal is number sense.

Focus on: estimation. Ask “about how much?” before working out any sum. Watch the lessons →

4. Data Handling and Presentation

Collecting data, tally marks, pictographs and bar graphs: reading them, drawing them and choosing a sensible scale. It ends with spotting misleading graphs and making infographics.

Focus on: choosing the scale. If one picture stands for 10 people, half a picture stands for 5. Watch the lessons →

5. Prime Time

Common multiples (the idli-vada game) and common factors, prime and composite numbers, the Sieve of Eratosthenes, co-prime numbers, prime factorisation and divisibility tests for 2, 4, 5, 8 and 10.

Where children get stuck: mixing up factors and multiples. Factors fit into a number; multiples are what you get from it. Watch the lessons →

6. Perimeter and Area

Perimeter of rectangles, squares, triangles and regular polygons; area by counting squares, with a tangram, and with formulas; and the surprise that the same area can have different perimeters.

Focus on: units. Perimeter is a length (cm); area is a count of squares (square cm). Watch the lessons →

7. Fractions

Fractions as equal shares and as measures, Indian fraction words, fractions on the number line, mixed numbers, equivalent fractions with a fraction wall, lowest terms, comparing fractions and adding fractions with the same unit.

Where children get stuck: thinking 1/8 is bigger than 1/6 “because 8 is bigger”. Share a roti into 6 and into 8 to see why not. Watch the lessons →

8. Playing with Constructions

Using a compass and ruler: circles and art made with circles, constructing squares and rectangles, diagonals, and points the same distance from two points.

Focus on: a sharp pencil and a compass that doesn’t slip. Neat tools make this chapter easy. Watch the lessons →

9. Symmetry

Line symmetry, reflection, ink-blot and paper-folding symmetry, rotational symmetry and angles of symmetry, ending with the symmetry of the Ashoka Chakra and other designs.

Focus on: paper folding. Fold first, then predict, then check. Watch the lessons →

10. The Other Side of Zero

Integers (negative numbers), explained with the floors of a building, including floors below ground level, then with a mine, the number line, and tokens for adding and subtracting integers.

Where children get stuck: subtracting a negative number. The token model (+ and − tokens that cancel) makes it visible. Watch the lessons →

How to use this book well

1. Don’t skip the puzzles. They are the chapter, not decoration.
2. Ask your child to explain one answer every day.
3. After each chapter, take the chapter test, then review the wrong answers together.