Grade 6 mathematics textbook from the Ganita Prakash series. The first chapter introduces patterns in mathematics, covering number sequences (counting, odd, even, triangular, square, cube, Virahānka, powers of 2 and 3), visualising sequences with pictures, relations among sequences (e.g., sum of odd numbers gives squares), and shape sequences (regular polygons, complete graphs, stacked triangles…
This is a Grade 6 mathematics textbook from the Ganita Prakash series, reprint 2026-27. The document is intended for students and teachers. It opens by defining mathematics as the search for patterns and their explanations, giving examples from nature, daily life, and technology.
Chapter 1, titled Patterns in Mathematics, begins with number sequences. Section 1.2 introduces whole number patterns: counting numbers, odd numbers, even numbers, triangular numbers, squares, cubes, Virahānka numbers, powers of 2, and powers of 3. Each sequence is listed in Table 1 with exercises asking students to identify rules and extend sequences.
Section 1.3 visualises number sequences using dot pictures. Table 2 shows pictorial representations for squares, triangular numbers, cubes, all 1's, counting numbers, odd numbers, and even numbers. Exercises ask students to draw next pictures and explain why certain numbers are called triangular, square, or cube numbers. Hexagonal numbers are introduced.
Section 1.4 explores relations among number sequences. Examples show that adding odd numbers yields square numbers, and adding counting numbers up and down also gives squares. Pictorial explanations are provided. Exercises cover sums of consecutive triangular numbers, powers of 2, hexagonal numbers, and other patterns.
Section 1.5 shifts to shape sequences: stacked triangles, complete graphs (K2 to K6), stacked squares, Koch snowflake, and regular polygons (triangle to decagon). Table 3 lists these. Section 1.6 relates shape sequences to number sequences, e.g., number of sides in regular polygons matches counting numbers starting at 3. Exercises ask students to count sides, lines, squares, triangles, and line segments in Koch snowflake.
The chapter summary recaps key ideas: mathematics as pattern search, number sequences, relations between sequences, visualisation, shape sequences, and their connections. The document ends with a reprint notice and page numbers.