1. Our session will begin shortly. While you wait, try the game below:
Welcome to Title 1 Math
Our session will begin shortly.
While you wait, try the game below:

2. Today’s Topic
M4.D Identify/describe the rule for a numerical or geometric pattern shown (+, - or x may be used - numerical patterns must be whole numbers).
M4.D Determine the rule for a function given a table (functions may use +, - or x and whole numbers).

3. Essential Question
How do I find the rule for a function given a table?

4. How to identify the rule….
Look for a pattern….
Add or subtract the same number to each
Multiply the same number to each
See if you arrive at the output
Output
INPUT

5. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 2
÷ 2 3 6 4 8
x 2
- 2 6 12

6. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 2
÷ 2 3 6 4 8
x 2
- 2 6 12
A x 2 = B

7. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 5
÷ 5 15 3 30 6
x 3
- 12 40 8

8. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 5
÷ 5 15 3 30 6
x 3
- 12 40 8
A ÷ 5 = B

9. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 4
÷ 10 4 8 8 12
X 2
- 2 16 20

10. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 4
÷ 10 4 8 8 12
X 2
- 2 16 20
A + 4 = B

11. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 3
÷ 2 15 10 20 15
X 10
- 5 40 35

12. Meet the Function Machine!
OUT IN
RULE: __________ A B
+ 3
÷ 2 15 10 20 15
X 10
- 5 40 35
A - 5 = B

13. Meet the Function Machine!
OUT IN
RULE: __________

14. Meet the Function Machine!
OUT IN
RULE: __________

15. Meet the Function Machine!
OUT IN
RULE: __________

16. What will the output of this table be if the input number is 125?65 40 50 25 80 55
100 75
B RULE: - 25
A. 50
B. 100
C. 75
D. 150

17. What will the output of this table be if the input number is 30?10 50 15 75 20
100 25
125
D RULE: x 5
A. 100
B. 90
C. 130
D. 150

18. What is the missing number in the function table?
Out 4 9 6 13 8 10 21 15 17 12 20
C RULE: + 5, 7, 9, 11

19. What is the missing number in the function table?
Out 4 15 12 23 36 31 42
A. 9
B. 20
C. 38
D. 25
D Rule: + 11

20. What is the missing number in the function table?
Out 26 23 20 17 15 12 7 10 9 15 21
A Rule: - 3

21. What is the missing number in the function table?
Out 1 2 6 3 12 4 16 20 24 18
D Rule: Count by 6s

22. Number of Picture Frames
Sam is making picture frames. For 4 picture frames, how many nails will he need?
Number of Picture Frames 1 2 3 4 5
Number of Nails 9 18 27 45

23. Resources