Types of Patterns
This type of pattern repeats the same sequence over and over.
Repeating Pattern
What is another name for an input/output table?
Table of values
The “pattern rule” tells the pattern what to do ______.
Next
What is a variable?
A letter that stands for an unknown number
A sunflower grows 3 cm taller every day. What type of pattern is this?
Growing pattern (add 3 each day)
2, 4, 6, 8, 10 — what type of pattern is this?
Growing pattern
If the input is 3 and the rule is ×4, what is the output?
12
5, 10, 15, 20 — what’s the rule?
Add 5 each time
Solve for A:
A × 3 = 12 + 9
A = 7
A music playlist adds 4 new songs each week starting at 0. What is the pattern rule?
Start at 0, add 4 each week
100, 90, 80, 70 — what type of pattern is this? (3 word answer)
Linear shrinking pattern
What does each row in an input/output table represent?
An example of the pattern rule being followed
2, 4, 8, 16 — what’s the rule?
Multiply by 2 each time
Solve for C:
5 × 8 = 20 + C
C = 20
A staircase has 2 steps, then 4, then 6. What is the pattern rule and what type is it?
Add 2 each time. Growing pattern
🟡, 🟡🟡, 🟡🟡🟡, 🟡🟡🟡🟡 — describe this type of pattern.
Growing pattern. Start at 1, add 1 each time.
The input is 5 and the rule is ×3 + 2. What’s the output?
17
If the pattern starts at 50 and decreases by 10, what’s the rule?
Start at 50, subtract 10 each time
Solve for N:
N – 25 = 9 × 4
N = 61
A video game awards 10 points in Level 1, 20 in Level 2, 30 in Level 3. What is an algebraic expression for total points by level.
10n (any letter variable accepted)
Explain the difference between a growing and a shrinking pattern.
Growing patterns increase with each term; shrinking patterns decrease with each term.
Explain how an input/output table helps identify a pattern rule.
Organizes data so you can see how inputs and outputs change consistently.
Describe the difference between a rule written in words and one written in algebra.
Words describe the pattern in sentences; algebra uses numbers and variables.
What is an algebraic expression for: “Start at 2 and add 4 each time.”
4n -2
(any letter variable accepted)
A water tank is being filled at a steady rate. After 1 minute, it contains 12 L of water. After 3 minutes, it contains 36 L.
If this pattern continues, how much water will be in the tank after 8 minutes?
The tank gains 12 L every minute (linear growing pattern).
Rule: Total = 12 × minutes.
After 8 minutes → 12 × 8 = 96 L of water.