1. Number sequence

2. Standards
G4.3M.C1.PO.2. Explain the rule for a given number sequence, verify that the rule works, and use the rule to make predictions.

3. I can find the rule of a number sequence, and prove that it works.
Objectives
I can find the rule of a number sequence, and prove that it works.

4. patterns
AABB, AACC, AADD, AAEE…

5. FIND THE RULE TO THE patterns
1, 2, 3/ 1, 2, 3/ 1, 2, 3/ 1, 2, 3/ … AABB, AACC, AADD, AAEE…, __BB, __CC, __DD, __EE, __FF, __GG 1 2 3 1 2 3

6. How to find rules of a pattern
Rule 1: Is the pattern sequence increasing or decreasing. Rule 2: Figure out what the pattern is? adding, subtracting, or multiply? Rule 3: Identify the rule

7. Is the pattern sequence increasing or decreasing.
FINDING RULES…
Is the pattern sequence increasing or decreasing.
1, 3, 5, 7 , 9, __, __
Pattern is increasing; adding.

8. Figure out what the pattern is… adding, subtracting, or multiplying?
Finding rules
Figure out what the pattern is… adding, subtracting, or multiplying?
1, 3, 5, 7, 9, __
Adding.
1 + __=3, 3 + __=5, 5 + __=7, 7 + __=9

9. Finding rules…
3. Identify the rule 1, 3, 5, 7, 9, __ Adding 2 to each number 1+2=3, 3+2=5, 5+2=7, 7+2=9, 9+2= __

10. Find the rule
2,5, 11, 23, __ Rule 1: increasing or decreasing Rule 2: adding, subtracting, or multiplying? 2x2=4+1=5 5x2=10+1=11 11x2=22+1=23, What is the rule? Multiply by 2 then add 1

11. Figure out the rule
2, 5, 8, 11, 14, 17, __

12. Use the rules to help you
Rule 1: Is the pattern sequence increasing or decreasing. Rule 2: Figure out what the pattern is… adding, subtracting, or multiply? Rule 3: Identify the rule

13. Figure out the rule
2, 5, 8, 11, 14, 17, __
2+3= 5, 5+3= 8, 8+3= 11, 11+3= 14, 14+3= 17, 17+3=

14. Try it on your own
2, 4, 8, 16, 32, __ What is the rule?

15. Try it out
2, 5, 14, 41, __ What is the rule?

16. Review number sequence
Rules
Increasing and/or decreasing
Add, subtract, or multiply
Figure out the rule
Write the rule, find next number

17. Figure out the missing number
78, 70, 62, __, 46…

18. Figure out the missing number
2, 4, 8, 16, 32, __

19. What is the rule for this sequence?
5, 17, 29, 41, 53

20. What is the next number in this sequence?
2, 6, 18, 54, __ What is the rule?

21. What is the next number in this sequence?
20, 120, 100, 200, 180, 280, __ What is the rule?

22. What is the next number in this sequence?
10, 110, 100, 200, 190, 290, __ What is the rule?

23. What is the rule for sequence?
20, 36, 52, 68, 84
Each number is 4 more than previous number
Each number is 18 less than previous number
Each number is 16 more than previous number
Each number is 12 less than previous number

24. What is the rule for this sequence?
50, 44, 38, 32, 26
Each number is 8 more than previous number
Each number is 8 less than previous number
Each number is 6 more than previous number
Each number is 6 less than previous number

25. Write your own number pattern
Write your own number pattern and have your shoulder partner find the missing number and figure out the rule.