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              \\October 8, 2025 12:37 PM   Bharat Arora   P-9           Reader _________________________   Date: ___________________74





              Patterns by moving Shapes

              Look at these patterns created using shapes and observe how they are created.

              Pattern 1:



              There is a repetition over and over in the pattern without any change.
              Pattern 2:


                                    1
              There is a turn by   in each step of the pattern.
                                    4

              Pattern 3:



                                    1
              There is a turn by   in each step of the pattern.
                                    2
              Patterns in numbers


              Look for a pattern in these numbers.
              triangular numbers


              Numbers  like  1,  3,  6  and  10  can  be
              arranged  in  the  shape  of  a  triangle
              using points. Such numbers are called

              triangular numbers.
                                                           1         3                6                    10


                      Fast Check

                    What will be the next number in the triangular number pattern given above?

              Square numbers

              Numbers like 1, 4, 9 and 16 can be arranged in the shape of a square using points. Such
              numbers are called square numbers.




                                                                                         Fast Check
                                                                                       What will be the next two
                                                                                       numbers in the given square
                                                                                       number patterns?
                  1         4            9                   16
              Pascal’s triangle

              Look at the numbers arranged in the shape of a triangle.
              This is called Pascal’s triangle.


              Mathematics-5
              Mathematics-5                                                                                         149149
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