![](/5/math/images/content/number_patterns/number_patterns_001.png)
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.
![](/5/math/images/content/number_patterns/number_patterns_1.png)
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.
![](/5/math/images/content/number_patterns/number_patterns_2.png)
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.
![](/5/math/images/content/number_patterns/number_patterns_002.png)
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.
- 5,10,15,20...
- 1,1,2,3,5,8...
- 1,4,13,40,...
- 1,3,5,7,15...
- 2,5,8,11,15...
- 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.
![](/5/math/images/content/number_patterns/number_patterns_003.png)