1. Patterns & Functions
Guided Practice

2. Teacher Notes
Students will need calculators and whiteboards with dry erase markers.
Paper and pencil can be used if whiteboards are not available.
Students should set up and attempt to solve the problems, and then check the accuracy of their work when the answers are shown on the screen.

3. The first step is to determine the rule for the pattern.
Write the numbers in the pattern
2, 8, 14, 20, 26, 32

4. What could be the rule? +6
Guess and Check

5. 2, 8, 14, 20, 26, 32 +6

6. The first six numbers in the pattern below were made using a subtraction rule.
85, 78, 71, 64, 57, 50
If the pattern continues the same way, what will be the next two numbers in the pattern?
The answer for each problem is the same.
85 – 78 = 7
78 – 71 =
71 – 64 =
64 – 57 =
57 – 50 =
Use subtraction to find the pattern.

7. What will be the next two numbers in the pattern?
The first six numbers in the pattern below were made using a subtraction rule.
85, 78, 71, 64, 57, 50
What will be the next two numbers in the pattern?
Continue to subtract 7.
50 – 7 = 43
43 – 7 = 36

8. IN
RULE
OUT 4
+ 5 9 14 6 11 IN
RULE
OUT 4
+16 20 9 25 6 22 IN
RULE
OUT 4
x 5 20 9 45 6 30 IN
RULE
OUT 4
- 3 1 9 6 3

9. 3 30 21 12 8 26 Multiply by 5 Subtract 2 Add 18 Add 12 3 x 5 15 12 60IN
RULE
OUT 3
x 5 15 12 60 8 40 IN
RULE
OUT 3
- 2 1 12 10 8 6 IN
RULE
OUT 3
+12 15 12 24 8 20 IN
RULE
OUT 3
+18 21 12 30 8 26

10. Karla is using a subtraction rule to make the number pattern shown below.
291, 288, 285, 282, 279
If the pattern continues in the same way, what will be the 7th number in the pattern?
The answer for each problem is the same.
291 – 288 = 3
288 – 285 =
285 – 282 =
282 – 279 =
Use subtraction to find the pattern.
What is the pattern?

11. Karla is using a subtraction rule to make the number pattern shown below.
291, 288, 285, 282, 279
If the pattern continues in the same way, what will be the 7th number in the pattern?
Continue subtracting 3.
278
277
276
273
6th number in pattern
279 – 3 =
276
276 – 3 =
273
7th number in pattern

12. What is the rule?
Function
Chart A B C

13. Function
Chart
What is the rule? A B C

14. Function
Chart
What is the rule? A B C

15. Look at each pattern one at a time.
What comes next for each part of the pattern? A B
900
800
700
600
500
400
300
200
The next two items in this pattern are… B B

16. Figure 4
Figure 1
Figure 2
Figure 3
Figure 5
If this pattern continues, how many squares will be in the bottom row of Figure 8 of this pattern?
Drawing the next few figures in the pattern will help solve this problem. 7 8 10 12
Figure 7
Figure 6
Figure 8

17. Figure 4
Figure 1
Figure 2
Figure 3
Figure 5
If this pattern continues, how many squares will be in the TOP row of figure 7of this pattern?
Drawing the next few figures in the pattern will help solve this problem. 12 11 9 7
Figure 7
Figure 6

18. What is the rule?
Function
Chart A B C

19. What is the rule?
Function
Chart A B C

20. What is the rule?
Function
Chart A B C

21. First identify the rule.

22. First identify the rule. Does your rule work for every IN-OUT
Guess and Check
Does your rule work for every IN-OUT
pair? IN
Rule
OUT 2
x 3 6 5 15 8 24 IN
Rule
OUT 2 6 5 15 8 24

23. IN
Rule
OUT 2
x 3 6 5 15 8 24 12 36

24. A. 18 C. 27 D. 25 D. 32 First identify the rule.30 21 12 8 26
First identify
the rule.
What number should come out if the number 7 goes into this number machine.
A C. 27
D D. 32

25. First identify the rule. Does your rule work for every IN-OUT3 30 21 12 8 26
First identify the rule.
Guess and Check
Does your rule work for every IN-OUT
pair?
If not,
guess and check again. IN
Rule
OUT 3
x 7 21 12 30 8 26 X X

26. First identify the rule. Does your rule work for every IN-OUT3 30 21 12 8 26
First identify the rule.
Guess and Check
Does your rule work for every IN-OUT
pair? IN
Rule
OUT 3
+ 18 21 12 30 8 26

27. IN
Rule
OUT 3
+ 18 21 12 30 8 26 7 25
What number should come out if the number 7 goes into this number machine.
A C. 27
D D. 32

28. Total Number of Cookies
Miller is buying packages of cookies for a party. Each package contains the same number of cookies.
Packages of Cookies
Number of Packages
Total Number of Cookies 1 6 2 12 3 18 4 24 5 30
Based on the data in the table, how many packages will Miller need to buy to have a total of 42 cookies?

29. Total Number of Cookies
Based on the data in the table, how many packages will Miller need to buy to have a total of 42 cookies?
Packages of Cookies
Number of Packages
Total Number of Cookies 1 6 2 12 3 18 4 24 5 30 36 7 42 8 48
Extend the Pattern

30. Look at each pattern one at a time.
What comes next for each part of the pattern?
red
white
blue 3 6 9 12 15 18 21 24
The next two items in this pattern are…
red
white