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Today’s Topic M4.D.1.1.2 Identify/describe the rule for a numerical or geometric pattern shown (+, - or x may be used - numerical patterns must be whole numbers). M4.D.1.2.2 Determine the rule for a function given a table (functions may use +, - or x and whole numbers).

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

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

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

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

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

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

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

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

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

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

Meet the Function Machine! OUT IN RULE: __________

Meet the Function Machine! OUT IN RULE: __________

Meet the Function Machine! OUT IN RULE: __________

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

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

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

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

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

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

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

Resources http://pbskids.org/cyberchase/games/functions/functions.html http://www.shodor.org/interactivate/activities/NumberCruncher/