# 5.2: Circles and Arrows 3

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

Look at the picture below. The arrows point to the sum of each row or column. Can you figure out the value of each letter? In this concept, we will practice solving for unknowns in circles and arrows diagrams.

### Guidance

In order to solve the problem above, use the problem solving steps.

- Start by
**describing**what you see in the diagram. - Next, figure out what
**your job**is in this problem. In all of these problems your job will be to figure out the value of the two letters in the diagram. - Then, make a
**plan**for how you will solve. There is usually more than one way to solve the problem. You will want to figure out one letter first and then the next letter. - Next,
**solve**the problem. - Finally,
**check**to make sure that the values you found work for all 6 of the arrows.

#### Example A

The arrows point to the sum of each row or column. Figure out the value of each letter.

**Solution:**

We can use the problem solving steps to help.

#### Example B

The arrows point to the sum of each row or column. Figure out the value of each letter.

**Solution:**

We can use the problem solving steps to help.

#### Example C

The arrows point to the sum of each row or column. Figure out the value of each letter.

**Solution:**

We can use the problem solving steps to help.

#### Concept Problem Revisited

The arrows point to the sum of each row or column. Figure out the value of each letter.

We can use problem solving steps to help.

### Vocabulary

In math, an ** unknown** is a letter that stands for a number that we do not yet know the value of. In this concept, when you figured out the value of the letters in the circles and arrows diagrams you were solving for

*unknowns.*### Guided Practice

The arrows point to the sum of each row or column. Figure out the value of each letter.

1.

2.

3.

**Answers:**

1.

2.

3.

### Practice

The arrows point to the sum of each row or column. Figure out the value of each letter.

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### Image Attributions

Students find the value of letters using the relationships between the letters presented in a three-by-three grid. Students use problem solving steps to help.