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CH 1 Patterns in Mathematics

               What is Mathematics?

                     Mathematics involves the search for patterns and understanding why they exist.

                     Patterns are found everywhere in nature, science, and daily life, like in weather, games, and
                       technology.
               Patterns in Numbers:

                     Patterns in whole numbers are studied in number theory.

                     Examples include sequences like counting numbers (1, 2, 3...), odd numbers (1, 3, 5...), and
                       squares (1, 4, 9...).











               Visualising Number Sequences:

                     Number sequences can be represented pictorially to enhance understanding.

                     Square numbers and triangular numbers are examples of sequences that can be visualised.


               Relations Among Number Sequences:

                     Some sequences are related, like adding consecutive odd numbers results in square
                       numbers.

                     For example: 1 + 3 = 4 (a square), 1 + 3 + 5 = 9 (a square), and so on.


               Patterns in Shapes:

                     Shapes can also follow patterns, like sequences of regular polygons (triangle, square,
                       pentagon, etc.).

                     Stacked triangles and squares are common examples of shape patterns.



               Relationship Between Number and Shape Sequences:
                     Shape sequences often relate to number sequences, like the number of sides in polygons
                       corresponding to counting numbers (triangle = 3, square = 4, etc.).
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