# Lesson 10 Interpret Relationships

• Let’s find relationships between patterns.

## Warm-up True or False: Multiply and Divide

Decide if each statement is true or false. Be prepared to explain your reasoning.

## Activity 1 Mix and Match: 3 Patterns

Complete the patterns for each set of rules.

1. Set A

Rule 1: Start at 0. Keep adding 3.

Rule 2: Start at 0. Keep adding 6.

2. Set B

Rule 1: Start at 4. Keep adding 3.

Rule 2: Start at 9. Keep adding 6.

3. Set C

Rule 1: Start at 0. Keep adding 5.

Rule 2: Start at 0. Keep adding 3.

4. What are some relationships between the patterns for each set of rules? Be prepared to explain your thinking.

## Problem 1

Partner A

1. Generate patterns for the two rules.

2. Compare your patterns. What relationships do you notice?

3. What number will be in pattern 2 when the number in the pattern 1 box is 40?

4. What number will be in pattern 1 when the number in the pattern 2 box is 120?

## Problem 2

Partner B

1. Generate patterns for the two rules.

2. Compare your patterns. What relationships do you notice?

3. What number will be in pattern 2 when the number in the pattern 1 box is 30?

4. What number will be in pattern 1 when the number in the pattern 2 box is 60?

## Problem 1

1. List the first ten numbers starting at 0 and counting by 6.

2. List the first ten numbers starting at 4 and counting by 6.

3. When the first list has the number 222, what number will be on the second list? Explain or show your reasoning.