# 5.4: What's My Rule

Look at the table below. and stand for numbers. Can you write a rule to represent the relationship between and ? Can you complete the table? In this concept we will learn how to write rules to represent what we see in tables.

### Guidance

In order to write rules for function tables like the one above, we can use the problem solving steps to help.

- First,
**describe**what you see in the table. - Second, identify what
**your job**is. In these problems, your job will be to write the rule for the table. - Third, make a
**plan**. In these problems, your plan should be to look for a pattern to help you figure out the rule. - Fourth,
**solve**. In these problems, you will state the rule in an equation or in words and then complete the table. - Fifth,
**check**. In these problems you will check by making sure that the numbers in the table work with the rule.

#### Example A

Write the rule represented by the table. Then, complete the table.

**Solution:**

We can use problem solving steps to help.

7 | 9 | |

4 | 6 | |

1 | 3 | |

0 | 2 | |

1. | 2 | 4 |

2. | 9 | 11 |

3. | 3 | 5 |

4. | 8 | 10 |

5. | Rule: |

#### Example B

Write the rule represented by the table. Then, complete the table.

**Solution:**

We can use problem solving steps to help.

10 | 6 | |

15 | 11 | |

13 | 9 | |

5 | 1 | |

1. | 8 | 4 |

2. | 14 | 10 |

3. | 7 | 3 |

4. | 16 | 12 |

5. | Rule: |

#### Example C

Write the rule represented by the table. Then, complete the table.

**Solution:**

We can use problem solving steps to help.

7 | 37 | |

10 | 40 | |

18 | 48 | |

45 | 75 | |

1. | 31 | 61 |

2. | 14 | 44 |

3. | 8 | 38 |

4. | 29 | 59 |

5. | Rule: |

#### Concept Problem Revisited

We can use problem solving steps to help.

### Vocabulary

A ** function** is an example of a

**that states a relationship between two quantities. A**

*rule***is a letter that represents a number that can change value. In this concept, we wrote**

*variable***that stated how the two**

*rules***in the table were related.**

*variables*### Guided Practice

Write the rule represented by each table. Then, complete each table.

1.

2.

3.

4.

**Answers:**

1. Here is the completed table and rule:

48 | 28 | |

50 | 30 | |

28 | 8 | |

42 | 22 | |

1. | 67 | 47 |

2. | 59 | 39 |

3. | 75 | 55 |

4. | 34 | 14 |

5. | Rule: |

2. Here is the completed table and rule:

3 | 12 | |

8 | 32 | |

2 | 8 | |

5 | 20 | |

1. | 1 | 4 |

2. | 7 | 28 |

3. | 6 | 24 |

4. | 9 | 54 |

5. | Rule: |

3. Here is the completed table and rule:

10 | 2 | |

40 | 8 | |

25 | 5 | |

5 | 1 | |

1. | 15 | 3 |

2. | 35 | 7 |

3. | 20 | 4 |

4. | 45 | 9 |

5. | Rule: |

4. Here is the completed table and rule:

2 | 18 | |

5 | 45 | |

7 | 63 | |

1 | 9 | |

1. | 4 | 36 |

2. | 3 | 27 |

3. | 6 | 54 |

4. | 9 | 81 |

5. | Rule: |

### Practice

Write the rule represented by each table. Then, complete each table.

### Image Attributions

## Description

## Learning Objectives

Students write rules that describe the relationship between the input and output columns of two-column tables. Students use the problem solving steps to help.

## Difficulty Level:

At Grade## Grades:

## Date Created:

Jan 18, 2013## Last Modified:

Aug 15, 2013## Vocabulary

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