Patterns
What is a shrinking pattern? Give an example.
6, 17, 28, 39, 50...
Name the rule and continue the pattern. 4, 11, 18, 25, __
Next Number: 32
Start at 4, add 7 each time
Write an expression for the following problem:
Triple m
3m
What is a Growing Pattern? Give an example.
a pattern in which the value of each term is greater than the value of the term before it, e.g., 2, 4, 6, 8, …
Name the rule and continue the pattern. 98, 94, 90, 86, 82, ____
Next Number: 78
Start at 98, subtract 4 each time
Write an expression for the following problem:
15 subtracted from t
t - 15
What is a Repeating Pattern? Give an example.
a series of items that repeats in a predictable way, e.g., 5, 6, 6, 5, 6, 6, 5, 6, 6, …
Name the rule and continue the pattern: 87, 83, 79, 75, 71, ____, _____
Next numbers: 67, 63
Start at 87 and subtract 4 each time
Andy wants to buy flowers for his mom. To make a bouquet, it costs a flat rate of $10. He wants to buy roses, which costs $2 each. Write an expression where r represents the number of roses bought.
2r + 10
What are the first 5 terms of the following pattern?
Start at 7, multiply by 3 each time
7, 21, 63, 189, 567...
Name the rule and continue the pattern. 10, 6, 11, 7, 12, __, __
Next Numbers: 8, 13
Start at 10, subtract 4, then add 5...
Write an expression for the following word problem:
Double p, add y
2p + y
What are the first 5 terms for the following pattern?
Start at 1 000 000, divide by 10 each time
1 000 000, 100 000, 10 000, 1 000, 100
Name the rule and continue the pattern: 8.5, 9.0, 9.5, 10.0, 10.5, 11.0, ____
BONUS 50 points if you can name both recursive and explicit pattern rules.
Next Number: 11.5
x 0.5 + 8 OR Start at 8.5 and add 0.5 each time
Jackson went to a carnival. Admission costs $20 and every ride costs $5. Write an expression where r represents number of rides that Jackson rode.
BONUS 50 points: Evaluate the expression. How much would it cost for Jackson to ride 6 rides?
5r + 20
It would cost Jackson $50 to ride 6 rides.