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? Guess and Check 2 8 14 20 26 32 +6

5. 32 38 44 50 56 62 +6 2, 8, 14, 20, 26, 32

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? Use subtraction to find the pattern. 85 – 78 = 7 78 – 71 = 7 71 – 64 = 7 64 – 57 = 7 57 – 50 = 7 The answer for each problem is the same.

7. 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? 50 – 7 = 43 43 – 7 = 36 Continue to subtract 7.

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

9. IN RULE OUT 3 x 515 12 x 560 8 x 540 IN RULE OUT 3 - 21 12 - 210 8 - 26 IN RULE OUT 3 +1821 12 +1830 8 +1826 IN RULE OUT 3 +1215 12 +1224 8 +1220 3 3021 128 26 A.Multiply by 5 B.Subtract 2 C.Add 18 D.Add 12

10. 291 – 288 = 3 288 – 285 = 3 285 – 282 = 3 282 – 279 = 3 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 7 th number in the pattern? What is the pattern? Use subtraction to find the pattern. The answer for each problem is the same.

11. A.278 B.277 C.276 D.273 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 7 th number in the pattern? 279 – 3 = 276 276 – 3 = 273 Continue subtracting 3. 6 th number in pattern 7 th number in pattern

12. A B C What is the rule?

13. A B C

14. A B C

15. AABBAABB 900800700600500400300200 Look at each pattern one at a time. The next two items in this pattern are… B 300B 200 What comes next for each part of the pattern?

16. If this pattern continues, how many squares will be in the bottom row of Figure 8 of this pattern? A. 7 B. 8 C. 10 D. 12 Drawing the next few figures in the pattern will help solve this problem.

17. If this pattern continues, how many squares will be in the TOP row of figure 7of this pattern? A. 12 B. 11 C. 9 D. 7 Drawing the next few figures in the pattern will help solve this problem.

18. A B C What is the rule?

19. A B C

20. A B C

21. First identify the rule.

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

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

24. First identify the rule. 3 30 21 128 26 What number should come out if the number 7 goes into this number machine. A. 18C. 27 D. 25D. 32

25. First identify the rule. Guess and Check IN Rule OUT 3 x 7 21 12 x 7 30 8 x 7 26 Does your rule work for every IN-OUT pair? 3 30 21 128 26 If not, guess and check again.

26. First identify the rule. Guess and Check IN Rule OUT 3 + 18 21 12 + 18 30 8 + 18 26 Does your rule work for every IN-OUT pair? 3 30 21 128 26

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

28. Miller is buying packages of cookies for a party. Each package contains the same 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 16 212 318 424 530

29. 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 16 212 318 424 530 636 742 848 Extend the Pattern

30. redwhiteblueredwhiteblueredwhite 3691215182124 Look at each pattern one at a time. The next two items in this pattern are… red 21white 24 What comes next for each part of the pattern?