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Patterns by moving Shapes

Look at these patterns created by 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 in the pattern by in each step.
4

Pattern 3:

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

Look for a pattern in these numbers.
triangular numbers

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

numbers are called triangular numbers.

1 3 6 10

Quick 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 using points in the shape of a square. Such
numbers are called square numbers.

Quick Check
What will be the next two
numbers in the given square
number patterns?
1 4 9 16

158 Mathematics-5