Page 9 - Ganit Kaushal
P. 9

Patterns in


                          1                             Mathematics










                  1.1 INTRODUCTION                                        Learning Outcomes


                  Patterns are everywhere in nature around us! They can    By the end of this chapter, students will be able to:
                  be seen everywhere, from growing plants to the petals       • Identify and describe patterns in numbers, shapes,
                                                                             and daily life.
                  of flowers, stripes of a zebra, the way birds fly and in the     • Classify patterns as repeating, growing, or
                  arrangement of leaves in trees.                            shrinking.
                  In mathematics, patterns help us understand relationships,     • Create and extend different types of patterns using
                                                                             numbers and shapes.
                  make predictions, and solve problems. Observing             • Solve problems by analysing, predicting and
                  and identifying patterns not only sharpens our logical     applying pattern rules.
                  thinking but also makes learning mathematics a fun and      • Develop logical reasoning and observational skills
                  engaging experience.                                       through pattern recognition.


                     Flower Petals     Growing Plants Pattern      Leaf Arrangement       Flying Birds    Zebra Stripes






                                                              Opposite Alternate  Whorled

                  Before we go deep into patterns and sequences, let us recall a little about numbers and their basic operations
                  that we have studied in our earlier classes.
                  Natural numbers: The numbers 1, 2, 3, 4, 5, .... are called natural numbers.

                  We also know these numbers as counting numbers.

                  Whole numbers: Natural numbers together with 0 are called whole numbers.
                  Thus, whole numbers are: 0, 1, 2, 3, 4, 5 ....

                       • Negative numbers like –1, and –5 are not whole numbers.

                       • Decimals like 2.5 are not whole numbers.

                  Digits: Symbols used to represent a number are called digits. There are ten digits in all (0, 1, 2, 3, 4, 5, 6, 7, 8
                  and 9) that are used to represent any number.

                  We already know about the multiplication of numbers. Let us learn about the powers of natural numbers using
                  multiplication.



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