Page 206 - ICSE Math 5

2. Complete the following patterns.

(a)

___________, ___________, ___________

(b)
___________, ___________, ___________

(c)
___________, ___________, ___________

Progressive Patterns
Top Tip
A pattern that grows is called a progressive pattern. It is also
known as a growing or increasing pattern. It is a pattern While comparing the
increasing patterns,
where the size of the elements increases every sequence in
observe the first element
a predictable manner. This type of pattern is usually seen in and the change that
numbers and shapes. Progressive patterns follow a certain occurs each time.
rule or rules.

Let’s see some number patterns to understand this.
In 1, 3, 5, 7, …, the pattern rule is to start at 1 and add 2 to get the next number. The pattern
formed, consists of odd numbers.
In 2, 4, 6, 8, …, the pattern rule is to start at 2 and add 2 to get the next number. The pattern
formed, consists of even numbers or multiples of 2.

Now look at the shape patterns shown below.

1 2 3 4

1 2 3 4

In these shape patterns, each figure (group of triangles and group of squares) is an element and
is growing by adding 1 more shape to the previous element. The rule followed is to start with one
shape and add 1 more shape.
The difference between repeating and progressive patterns is that repeating patterns have a unit
of repeat while progressive patterns do not have a unit of repeat.

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