What Comes Next?
4, 8, 12, 16, __, __, __
20, 24, 28
Rule: Start at 4 and add 4 each time.
7, 9, 11, 13
Rule: Start at 7, add 2 each time
True or False — A pattern that gets bigger each time is repeating
False - This would be a growing pattern
Fill in the missing values:
Term 1 = 4
Term 2 = 6
Term 3 = 8
Term 4 = ___
Term 5 = ___
Term 6 = ___
10, 12, 14
If a pattern goes +4, +4, +4… what operation is being used?
Addition
A, B, B, C, A, B, B, C, A, B, __, __, __
B, C, A
The rule is a repeating pattern with this core: A, B, B, C
20, 18, 16, 14
Rule: Start at 20, subtract 2 each time
Which type of pattern has a pattern core?
Repeating pattern
If the rule is “Start at 5, add 5,” what is Term 5?
25
A pattern starts at 40 and subtracts 5 each time.
What value comes after 25 in this pattern?
20
5, 12, 15, 22, 25, 32, __, __, __
35, 42, 45
Rule: Add 7, add 3, repeat.
3, 6, 9, 12
Rule: Start at 3, add 3 each time
Is this repeating or growing?
Triangle, square, triangle, square…
Repeating
Term Number → Term Value
1 → 10
2 → 7
3 → 4
4 → 1
Question: What is the rule?
Start at 10 and subtract 3 each time.
Pattern rule: Add 2, then add 3, repeat.
Term 1 = 5
Term 2 = 7
Term 3 = 10
Question:
What are Term 4, Term 5, and Term 6?
Term 4 = 12
Term 5 = 15
Term 6 = 17
3, 6, 5, 10, 9, 18, 17, __, __, __
34, 33, 66
Rule: Double the number, then subtract 1. Repeat.
A, AB, ABB, ABBB
Rule: Add one more B each term
Is this repeating or growing?
2 cubes, 4 cubes, 6 cubes, 8 cubes…
Growing
Term Number → Term Value
1 → 2
2 → 6
3 → 3
4 → 7
Question: What is the rule?
Start at 2 and alternate +4, −3, +4, −3…
Which pattern uses TWO operations?
A) Start at 3, add 3
B) Start at 6, add 5 then add 1
Pattern B uses two different steps:
First you add 5
Then you add 1
Then the pattern repeats those two operations again
Pattern A only uses one step (add 3 every time), so it does not have two operations.
Term 1 = 2 cubes, Term 2 = 5 cubes, Term 3 = 8 cubes.
What is Term 4, 5, and 6?
Term 4 = 11 cubes
Term 5 = 14 cubes
Term 6 = 17 cubes
Rule: add 3 each time
Term 1 = 4 squares
Term 2 = 8 squares
Term 3 = 16 squares
Explain the difference between the term and the pattern core.
A term is the spot or position in the pattern, and the pattern core is the part that repeats over and over.
Term 1 = 12
Term 2 = 17
Term 3 = 22
What is Term 10?
Answer: 57 (add 5 each time)
A pattern is changing by multiplication.
Here are the terms:
Term 1 = 2
Term 2 = 6
Term 3 = 18
What is the pattern rule?
The pattern is multiplying by 3 each time.