Patterns
Rules
Input/Output
Divisibility Rules
WILDCARD
100
5, 6, 4, 5, 3... The next term in the pattern.
What is 4?
100
Rule: Multiply by 4 each time. 1, 4, 16, ____
What is 64?
100
Input Numbers: 1, 2, 3, 4, 5 Output Numbers: 3, 6, 9, 12, 15 The input to output pattern rule.
What is x 3 each time?
100
Divisibility rule for 4.
What are the last two digits divided by 4?
100
The name of a pattern that has the same pattern rule each time.
What is a recursive pattern?
200
20, 36, 52, 68, 84... The pattern rule.
What is add 16 each time?
200
Rule: Add 14 each time. 10, 24, ____, _____
What is 38, 52?
200
Input Numbers: 1, 2, 3, 4, 5 Output Numbers: 9, 10, 11, 12, 13 Input to Output pattern rule.
What is + 8 each time?
200
Explain why 689 is divisible by 9.
What?! It is NOT divisible by 9! 6+8+9 = 23, not a multiple of 9.
200
3, 12, 48, 144... The pattern rule.
What is x 4 each time?
300
4, 28, 196, 1 372... The pattern rule.
What is x 7 each time?
300
Rule: Divided by 3 each time. 324, 108, ____, ____
What is 36 and 12?
300
Input Numbers: 2, 4, 6, 8, 10 Output Numbers: 5, 9, 13, 17, 21 Input to Output Pattern Rule.
What is x 2 + 1?
300
Five numbers that are divisible by 5.
What are any numbers that end in 0 or 5?
300
Explain the divisibility rule for 3 and provide an example of a four digit number that is divisible by 3.
What is the sum of the digits can be divided by 3? Example: 5 133 5+1+3+3= 12 12 can be divided by 3.
400
1, 7, 25, 79, 241... The pattern rule.
What is x 3 + 4?
400
Rule: Divide by 6. 864, 144, ____, _____
What is 24 and 4?
400
Input Numbers: 1, 2, 3, 4, 5 Output Numbers: 0, 4, 8, 12, 16 Input to Output Pattern Rule
What is -1 x 4?
400
Three numbers (must be at least three digits long) that are divisible by 6.
What are any numbers that are both divisible by 2 (even) and 3 (the sum of the digits are divisible by 3)?
400
The difference between the TERM NUMBER and the TERM.
What is the number in the INPUT (term number, position of term)? What is the number in the OUTPUT (term, the number in the pattern)?
500
2, 6, 30, 145, 720, ____ The next term.
What is 3 595?
500
Rule: Subtract 3, multiply by 3. 10, 21, ____, ____
What is 54 and 153?
500
Input Numbers: 4, 8, 12, 16, 20 Output Numbers: 5, 6, 7, 8, 9 Input to Output Pattern Rule.
What is divided by 4, add 4?
500
438, 516, 2 349 The number that is divisible by 9.
What is 2 349?
500
Input Numbers: 2, 6, 7, 10, 11 Output Numbers: 11, 31, 36, 51, 56 The Input to Output pattern rule.
What is x5 +1?
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