# Lesson 9

Generate Patterns

### Lesson Purpose

The purpose of this lesson is for students to generate patterns, given two rules, and identify relationships between corresponding terms in the different patterns.

### Lesson Narrative

The purpose of this lesson is for students to generate two different numerical patterns and then compare the terms in the two patterns. In this lesson, the patterns are the multiples of given whole numbers, starting with 0, and one of the numbers is a multiple of the other. This means that one of the patterns is contained inside the other. For example, the list of multiples of 9 is contained inside the list of multiples of 3 since every third multiple of 3 is a multiple of 9. Students express relationships within a pattern and between 2 patterns using multiplication and division.

- Action and Expression

### Learning Goals

Teacher Facing

- Given two rules, generate two numerical patterns. Identify apparent relationships between corresponding terms in the two patterns.

### Student Facing

- Let’s explore rules and patterns.

### Required Preparation

### Lesson Timeline

Warm-up | 10 min |

Activity 1 | 20 min |

Activity 2 | 15 min |

Lesson Synthesis | 10 min |

Cool-down | 5 min |

### Teacher Reflection Questions

In what ways did you accept students' everyday way of talking as a starting point for joining the math conversation today?

### Suggested Centers

- Can You Draw It? (1–5), Stage 7: Grade 5 Shapes (Addressing)
- Picture Books (K–5), Stage 3: Find Shapes (Addressing)
- Can You Draw It? (1–5), Stage 4: Area and Perimeter (Supporting)