##### Notes

This printable supports Common Core Mathematics Standard 4.OA.C.5.

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## Generating Patterns

1.
Patterns only involve numbers.
1. True
2. False

2.
The following pattern can be described by the rule, "subtract 3."
43, 46, 49, 52
1. True
2. False
3.
Continue the pattern.

snap, kick, snap, kick, snap,
1. snap
2. kick

4.
I see this pattern:

blue blue green blue blue blue green blue blue blue blue green blue blue blue blue

What will come next in the pattern?
1. green
2. blue
3. red
4. purple
5.
Which continues the pattern?

6.
Which continues the pattern?
7.
Which continues the pattern?

8.
Which continues the pattern?
9.
Continue the pattern.

$uarr$$darr$$uarr$$darrdarr$
1. $uarrdarrdarrdarr$
2. $uarruarrdarrdarr$
3. $darrdarrdarruarr$
4. $darrdarrdarrdarr$

10.
Which number should come next in this series?

25, 24, 22, 19, 15
1. 14
2. 9
3. 10
4. 7
11.
What number is missing in the pattern?
12, 16, 20,                , 28
1. 32
2. 26
3. 21
4. 24

12.
Find the next term in the following list.

2, 5, 8, 11, 14, ...
1. 17
2. 14
3. 21
4. 32
13.
What is the rule to this pattern?

2, 4, 6, 8, 10, 12
2. subtract 2
3. multiply by 2
4. divide by 2

14.
What is the rule for the number pattern?

29, 24, 19, 14, 9
2. subtract 5
3. multiply 2
15.
Which numerical pattern follows the rule "subtract 2, then multiply by 3," when starting with 5?
1. 5, 7, 21, 69
2. 5, 2, 4, 1, 2
3. 5, 15, 13, 39, 37
4. 5, 3, 9, 7, 21, 19, 57

16.
Which of the following rules describes how to complete the pattern below?

3, 4, 8, 9, 18, 19, 38
1. times 4, plus 1
2. plus 1, times 2
3. plus 4, times 1
4. minus 1, times 4
17.
What is the pattern rule for the following number sequence?
1, 2, 4, 8, 16, 32, 64
1. Start at 1 and add 2 to each term to get the next term.
2. Start at 1 and multiply each term by 2 to get the next term.
3. Start at 64 and divide each term by 2 to get the next term.

18.
Kayless delivers invitations to everyone on her floor of her apartment building. There are 10 apartments on her floor. The numbers of the first four apartments are 2, 4, 6, 8. If the pattern continues, what are the rest of the apartment numbers?

19.
Formulate a conjecture about how the next step in this pattern would be found.
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ?

20.
Extend the pattern for the next three terms and then write the rule for the pattern.
6, 10, 7, 11, 8, 12, ?, ?, ?

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