Extend the Pattern
Pattern Vocabulary and Features
What is the rule?
Predict the Pattern
Who is correct?
100

The rule is Add 12. What are the next 4 numbers in the pattern?

16, 28, 40, 52, ___, ___, ___, ___

64, 76, 88, 90

100

The rule is Add 3. View the pattern below. What are 2 features that can describe the numbers in the pattern?


18, 21, 24, 27, 30, 33, 36...

Possible Answers:

All numbers are multiples of 3

The numbers are in a pattern of even, odd, even, odd etc. 

The numbers get larger as the pattern continues.

100

Analyze the pattern below. What's the rule?


200, 400, 600, 800, 1,000, 1,200...

Add 200

100

The rule for the repeating pattern is "4, 8, 3, 6". What will be the 32nd number in the pattern? Use division to help you solve.

6

100

Bob and Rob are talking about how the cost of his favorite sock has gone up over the last 5 years. Bob thinks the pattern in the sequence is "add 2". Rob thinks the pattern is "multiply by 2". Who is correct? Explain your answer.


Sequence: $2, $4, $8, $16, $32.

Rob is correct because 4 + 2 is not 8, but 4 x 2 is 8. 

200

The rule is Subtract 46. What are the next 3 numbers in the pattern?

267, 221, 175, ___, ___, ___

129, 83, 37

200

The rule is multiply by 6. View the pattern below. What are 2 features that can describe the numbers in the pattern?


30, 180, 1,080, 6,480, 38,880

Possible Answers:

All numbers in the sequence are even.

Each number in the pattern contains a 0 or 8. 

The numbers get larger as the pattern continues.

200

Analyze the pattern below. What's the rule?


In        Out

2           6

3           9

11        33

20        60

30        90

Multiply by 3.

200

The rule for the repeating pattern is " ▣ ◈ ◉ ". What will be the 74th shape in the pattern? Use division to help you solve.

200

Mary and Rose are shopping for water bottles of different sizes. Each larger size costs $7 more than the smaller one before it. The smallest water bottle costs $20. Mary thinks that the third largest bottle will cost $41. Rose thinks that the third largest bottle will cost $34. Who is correct? Explain. 

Rose is correct because the pattern is: $20, $27, $34. The third water bottle in the pattern costs $34.

300

The rule is Add 28, Subtract 16. What are the next 4 numbers in the pattern?

28, 56, 40, 68, ___, ___, ___, ___

52, 80, 64, 92

300

A symbol or letter that stands for a number in an equation is called what?

A variable

300

Analyze the pattern below. What's the rule?


Money Earned: $81   $207   $540   $702

Money Spent:   $9     $23     $60     $78

Divide by $9.

300

The rule for the repeating pattern is "💙 💚 💛 💛 💜". What will be the 19th and 100th heart in the pattern? Use division to help you solve.

19th = 💛

100th = 💜

300

Cameron and Kyle are talking about dogs at the dog shelter. In the cages, they noticed a pattern. It goes: 

small dog, medium dog, big dog..

Cameron says the 14th dog in the pattern will be a medium dog. Kyle says the 14th dog will be a small dog. Who is correct? 

Cameron is correct because 14 ÷ 3 = 4 R2. The second dog in the pattern is the medium dog.

400

The rule is Multiply by 14. What are the next 3 numbers in the pattern?

2, 28, 392, ___, ___, ___ 

5,488; 76,832; 1,075,648

400

The rule is subtract 3, multiply by 3. View the pattern below. What are 2 features that can describe the numbers in the pattern?


6, 3, 9, 6, 18, 15, 45, 42, 126... 

Possible Answers:

All numbers are multiples of 3

The numbers are in a pattern of even, odd, odd, even, even, odd odd, even, etc. 

The numbers get larger, then smaller, then larger again as the pattern continues. 

400

Analyze the pattern below. What's the rule?


Days:    5       7      11     15     18

Hours: 120   168    264   360   432

Multiply by 24.

400

The rule for the repeating pattern is " 〇 ▢ △ ". What will be the 49th and 300th shape in the pattern? Use division to help you solve.

49th = 〇

300th = △

400

Joy and Sadness are talking about how many emotions children go through per day. They noticed this pattern:

disgust, joy, anger, fear, sadness, contentedness

Joy said that the 79th emotion in the pattern is fear. Sadness said that the 79th emotion is disgust. Who is correct? Explain. 

Sadness is correct because 79 ÷ 6 = 13 R1. The first emotion in the pattern is the disgust.

500

The rule is Divide by 6. What are the next 3 numbers in the pattern?

155,520; 25,920; 4,320; _____, ____, ___

720, 120, 20

500

Operations that can undo each other (such as multiplication and division) are called what?

Inverse operations. 

500

Analyze the pattern below. What's the rule?


5, 9, 18, 22, 44, 48, 96, 100, 200...

Add 4, Multiply by 2.
500

The rule for the repeating pattern is "🍪 🍩 🍰 🍦 🍭 🍬 ". What will be the 172nd, 853rd, and the 1242nd shape in the pattern? Use division to help you solve.

172nd = 🍦

853rd = 🍪

1242nd = 🍬

500

Peaches and Mario are looking for a pattern in their Mario Kart Race wins. They put their scores from their games together and noticed a pattern:

9, 5, 10, 6, 12, 8, 16, 12, 24, 20

Mario says the next 3 numbers in the pattern are 28, 22, 32. Peaches says the next 3 numbers in the pattern are 40, 36, 72. Who is correct?

Peaches is correct. The rule is subtract 4, multiply by 2. 

9 - 4 = 5, 5 x 2 = 10. 10 - 4 = 6, 6 x 2 = 12. 12 - 4 = 8, 8  x 2 = 16. 16 - 4 = 12, 12 x 2 = 24. 24 - 4 = 20, 20 x 2 = 40. 40 - 4 = 36, 36 x 2 = 72.

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