Part 1: Spot the Pattern

Look carefully at how each pattern grows. Record the rule you notice.

1. Complete the number pattern: 4, 7, 10, 13, ______, ______

2. What is the pattern rule? Choose one.

Add 2 each time

Add 3 each time

Multiply by 3 each time

Subtract 3 each time

3. Complete the pattern: 2, 5, 8, 11, ______, ______. What is the 10th number?

4. A pattern starts at 6 and increases by 4 each time. Write the first five terms.

Part 2: Record the Growing Pattern

Use the recording spaces to find the relationship between the pattern number and the number of objects.

5. A pattern has 3 tiles in Figure 1. Each new figure has 2 more tiles.

Figure number: 1 2 3 4 5

Number of tiles: 3 ______ ______ ______ ______

How many tiles will Figure 10 have? ______

6. Complete the recording table for the rule “multiply the pattern number by 3, then add 1”.

Pattern number: 1 2 3 4 5

Number in pattern: 4 ______ ______ ______ ______

Write the number for Pattern 8: ______

7. A growing pattern has the values below. Find the missing values and describe how it grows.

Pattern number: 1 2 3 4 5

Value: 5 9 13 ______ ______

8. The first term of a pattern is 7 and the pattern increases by 5 each time. Write a rule using n for the pattern number.

9. Use your rule from Question 8 to find the 6th term and the 20th term.

10. Create your own growing pattern. Show the first five terms, state how it grows, and write a rule using n.

First five terms: ______, ______, ______, ______, ______