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Back to Exercise: Generate a number or shape pattern that follows a given rule

Exercises: Generating Patterns and Identifying Their Features

Work through each section in order. When a problem asks you to explain why a feature
continues, give a reason that would work for any term, not just the ones you can see.

Grade 4·23 problems·~33 min·Common Core Math - Grade 4·standard·4-oa-c-5
Work through problems with immediate feedback
A

Recall / Warm-Up

1.

Count by 3s starting at 0: 0, 3, 6, 9, ... What is the next number after 9?

2.

What kind of number do you get when you add two ODD numbers, like 3 + 5?

3.

What kind of number do you get when you add two EVEN numbers, like 4 + 6?

B

Fluency Practice

1.

Start at 2, rule "Add 5." Write the next 4 terms after 2: 2,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

term 2:
term 3:
term 4:
term 5:
2.

Start at 3, rule "Multiply by 2." Write the next 4 terms after 3: 3,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,
  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

term 2:
term 3:
term 4:
term 5:
3.

Start at 50, rule "Subtract 7." Write the next 4 terms after 50: 50,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   ,
  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

term 2:
term 3:
term 4:
term 5:
4.

What are the starting number and rule for this sequence: 5, 8, 11, 14, 17, ...?

5.

What are the starting number and rule for this sequence: 2, 6, 10, 14, 18, ...?

6.

Start at 4, rule "Add 6." What is the 3rd term? (Term 1 is 4.)

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