Learning objectives

  • Identify Number Patterns
  • Special Number Patterns

Special number patterns

Triangular number

Numbers that can be arranged as dots in a triangle are known as triangular numbers.

Numbers 1, 3, 6, 10 ..... are triangular numbers.

Draw dot triangles to find next 6 triangular numbers.

Square numbers

Numbers that can be arranged as dots in a square are known as square numbers.

Basically, square numbers are product of numbers multiplied by themselves.

Draw dot squares to find next 6 square numbers.

Find the next two array of numbers in the above Pascal's series.

There are many special characteristics of Pascal's Triangle.

Some fun patterns

Observe the pattern and write next three terms.

1 ⨯ 1= 1 1 ⨯ 8 + 1 = 9
11 ⨯ 11 = 121 12 ⨯ 8 + 2 = 98
111 ⨯ 111 = 1231 123 ⨯ 8 + 3 = 987
1111 ⨯ 1111 = 1234321 1234 ⨯ 8 + 4 = 9876
__________ = __________ __________ = __________
__________ = __________ __________ = __________

Exercise 14.1

A. Identify the rule and write the next three numbers in each pattern.

  1. 5,10,15,20...
  2. 1,1,2,3,5,8...
  3. 1,4,13,40,...
  4. 1,3,5,7,15...
  5. 2,5,8,11,15...
  6. 1,4,13,40...

B. Write the multiplication table of 11 and find the pattern it follows.

C. Find smallest 2-digit triangular and square numbers.

D. Find the largest 3-digit triangular and square numbers.