Number patterns

Vidya Kumari
TGT:-Maths

1. What is a pattern? A pattern is an ordered set of numbers, shapes or other mathematical objects arranged according to a rule.

2. Number patterns Definition: A number pattern is a sequence of numbers that follows a specific rule i.e. Repeating Growing Examples: Growing Numbers Skip Counting 2,4,6,8,10,…….. 5,10,15,20,25,……. Repeating Numbers 1 2 3 4 1 2 3 4 1 2 3 4…… Repeating and Growing AB1 BC2 CD3 DE4 ……

3. geometric patterns Definition: A pattern that uses shapes or letters that follows a specific rule i.e. Repeating patterns Examples: Growing Numbers

4. Number pattern Observe the patterns and complete the following: 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123× 8 + 3 = 987 1234 × 8 + 4 = 9876 12345 × 8 + 5 = 98765 123456 × 8 + 6 = 987654 1234567 × 8 + 7 = 9876543 12345678 × 8 + 8 = 98765432

5. Number pattern Find the sum of Consecutive Numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = ………. Solution:: 8 + 0 = 8 1 + 7 = 8 2 + 6 = 8 1+2+3+4+5+6+7+8 3 + 5 = 8 4 + 0 = 4 Adding them all we can write 4 × 8 + 4= 32 + 4 = 36

6. What is a pattern? Complete the following Pattern: 12345679 × 27 = 333333333 12345679 × 36 = 444444444 12345679 × 45 = 555555555 12345679 × 54 = 666666666 12345679 × 63 = 777777777 12345679 × 72 = 888888888 12345679 × 81 = 999999999

7. A little bug ate 135 flies in 5 days. Each day, it ate 10 more flies than it did on the previous day. How many flies had the bug eaten (A) After 3 days? (B) After 4 days? Solution: Let the number of bugs eaten on 1st day be x The number of bugs eaten on 2nd day = x+10 The number of bugs eaten on 3rd day = x+10+10 = x+20 The number of bugs eaten on 4th day = x+10+10+10 = x+30 The number of bugs eaten on 5th day = x+10+10+10+10 = x+40 Total bugs eaten = x +(x+10)+ (x+20)+ (x+30)+ (x+40)= 135 5x+ 100=135 5x=135-100 5x=35 x=35÷5=7 So, Bugs eaten after 3 days = 27 bugs Bugs eaten after 4 days = 37 bugs

8. THANK YOU