# 8.7: Two-Step Patterns

**At Grade**Created by: CK-12

Look at the pictures below. Do you notice a pattern? Can you answer the questions? In this concept, we will practice writing rules to describe patterns.

### Guidance

In order to answer the questions about the pattern above, use the problem solving steps.

- Start by
**describing**what you see in the figures. - Next, figure out what
**your job**is in this problem. In all of these problems your job will be to write a rule that works for the pattern and answer additional questions about the pattern. - Then, make a
**plan**for how you will solve. Describe the number of tiles in each figure in words. Look for a pattern in the shape of each figure. Finally, write the rule. - Next,
**solve**the problem. - Finally,
**check**to make sure that your rule works with all of the given figures.

#### Example A

Look at the figures below and answer the questions.

**Solution:**

We can use problem solving steps to help.

#### Example B

Look at the figures below and answer the questions.

**Solution:**

We can use problem solving steps to help.

#### Example C

Look at the figures below and answer the questions.

**Solution:**

We can use problem solving steps to help.

#### Concept Problem Revisited

We can use problem solving steps to help.

### Vocabulary

One type of ** pattern** is when the number of a certain object increases, decreases, or stays the same in a consistent way. In this concept, we saw patterns of tiles where the numbers of tiles were increasing. With any pattern you should be able to describe the pattern and how to get from one step of the pattern to the next. A

**is an equation that can describe a pattern. In this concept, we wrote**

*rule***for patterns that related the figure number to the number of tiles.**

*rules*### Guided Practice

For each problem below, look at the figures and answer the questions.

1.

2.

3.

**Answers:**

1. Figure 10 has 23 tiles. The rule is .

2. Figure 10 has 24 tiles. The rule is .

3. Figure 10 has 59 tiles. The rule is or .

### Practice

For each problem below, look at the figures and answer the questions.

### Notes/Highlights Having trouble? Report an issue.

Color | Highlighted Text | Notes | |
---|---|---|---|

Please Sign In to create your own Highlights / Notes | |||

Show More |

### Image Attributions

Students analyze the first few figures of a pattern and then describe the pattern, write a rule for the pattern, and describe the 10th figure in the pattern. All rules require two steps. Students use problem solving steps to help.