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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. The first step is to determine the rule for the pattern. Write the numbers in the pattern 2, 8, 14, 20, 26, 32 What could be the rule? 2 8 +6 14 +6 20 +6 26 +6 32 +6 Guess and Check 2, 8, 14, 20, 26, 32 32 38 +6 44 +6 50 +6 56 +6 62 +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? 85 – 78 = 78 – 71 = 71 – 64 = 64 – 57 = 57 – 50 = 7 7 7 7 7 TheUse answer for each subtraction problem the to find isthe same. 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 – 7 = 43 36 IN 4 9 6 RULE OUT x5 20 x5 45 x5 30 IN 4 9 6 RULE OUT IN -3 1 -3 6 -3 3 4 9 6 RULE OUT IN +5 9 +5 14 +5 11 4 9 6 RULE OUT +16 20 +16 25 +16 22 3 12 8 A. B. C. D. 21 IN RULE OUT 3 x5 15 12 x5 60 8 x5 40 30 Multiply by 5 Subtract 2 Add 18 Add 12 26 IN RULE OUT IN RULE OUT IN RULE OUT 3 -2 1 3 +18 21 3 +12 15 12 -2 10 12 +18 30 12 +12 24 8 -2 6 8 +18 26 8 +12 20 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? 291 – 288 = 288 – 285 = 285 – 282 = 282 – 279 = 3 3 3 3 What is the pattern? The answer Use for each subtraction problem is to the findsame the. pattern. 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? A. 278 B. 277 C. 276 D. 273 Continue subtracting 3. 6th number in pattern 7th number in pattern 276 276 – 3 = 273 279 – 3 = What is the rule? A B C What is the rule? A B C What is the rule? A B C Look at each pattern one at a time. A A B B A A B B What comes next for each part of the pattern? 900 800 700 600 500 400 The next two items in this pattern are… B 300 B 200 300 200 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. If this pattern continues, how many squares will be in the TOP row of figure 7of this pattern? A. B. C. D. 12 11 9 7 Drawing the next few figures in the pattern will help solve this problem. What is the rule? A B C What is the rule? A B C What is the rule? A B C First identify the rule. First identify the rule. Guess and Check IN 2 5 8 Rule x3 OUT 6 15 x3 24 x3 Does your rule work for every IN-OUT pair? IN Rule OUT 2 x3 6 5 x3 15 8 x3 24 12 x3 36 3 12 8 21 30 26 First identify the rule. What number should come out if the number 7 goes into this number machine. A. 18 D. 25 C. 27 D. 32 3 21 12 30 8 26 IN Rule 3 12 8 x7 OUT 21 x7 30 x7 26 First identify the rule. Guess and Check Does your rule work If not, for every IN-OUT guess and check pair? again. 3 21 12 30 8 26 IN Rule 3 12 8 + 18 OUT 21 + 18 30 + 18 26 First identify the rule. Guess and Check Does your rule work for every IN-OUT pair? IN Rule 3 12 8 + 18 OUT 21 + 18 30 + 18 26 7 + 18 25 What number should come out if the number 7 goes into this number machine. A. 18 D. 25 C. 27 D. 32 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 2 3 4 5 6 12 18 24 30 Based on the data in the table, how many packages will Miller need to buy to have a total of 42 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 2 3 4 5 6 7 8 6 12 18 24 30 36 42 48 Extend the Pattern Look at each pattern one at a time. red white blue red white blue red white What comes next for each part of the pattern? 3 6 9 12 15 18 The next two items in this pattern are… red 21 white 24 21 24