This document provides a lesson on number and geometric patterns. It contains 3 key learning outcomes: 1) Students will be able to explain geometric patterns. 2) Students can solve problems involving patterns. 3) Students will draw patterns. Examples of simple number and geometric patterns are presented, including a flower bed pattern where the number of patio stones can be described by the formula Patio stones = 3 + 7n. Students are assigned homework to solve exercises involving finding patterns and differences in sequences.

1. Welcome
Md. Abdul Quddus
Department: Mathematics
Campus : 05

2. Chapter : One
Lesson declaration

6. Number & geometric pattern
Today’s Lesson

7. Learning outcome
After this lesson students . . .
• will be able to explain geometric pattern
• can be solve the problem
• will draw the pattern

8. • Simple Number Patterns

9. • For some sequences, you need to find the
pattern in the difference.
• For example,
First difference
Second difference

10. • Simple Geometric Patterns

11. Count the number of patio stones for the flower
beds below and generalise your results.
n = 1
n = 2
n = 3
Number of patio stones = 10
Number = 17
Number = 24

12. n = 4
n = 5
n =
Number of patio stones = 31
Number of patio stones = 38
28Number of patio stones = 199
Count the number of patio stones for the flower
beds below and generalise your results.

13. We can summarise our results in a table
From this we can identify a general rule
n 1 2 3 4 5 28
Patio Stones 10 17 24 31 38 199
Patio stones = 3 + 7n

14. • The 7th,8th and 9th terms of a sequence are
61, 69 and 77. Find the formula to
describe this sequence. Hence find the
100th term.
• Find the differences
• So the sequence is of the form
? ?
?
Example

15. • Find the differences
• So
• We find b by using
? ?
? ?

16. Home work
 solve exercise 1 – Q-3,4