# Lesson 19

Solve Problems Involving Arrays

### Lesson Purpose

The purpose of this lesson is for students to represent an array situation using an equation with a symbol for the unknown number and solve.

### Lesson Narrative

In previous lessons, students represented multiplication situations using arrays and multiplication expressions with an emphasis on equal groups. Equal groups continue to be emphasized in this lesson as students learn that finding the product in a multiplication equation gives the total number of objects in the related array.

As students connect arrays to equations, they may write \(3\times5=15 \) or \(5\times3=15 \) to represent 3 rows of 5 chairs. This is fine as long as students can correctly describe where the “3 rows of 5 chairs” are in their array or equation. Keep collecting ideas that arise about commutativity.

- Action and Expression

- MLR8

### Learning Goals

Teacher Facing

- Represent an array situation with an equation with a symbol for the unknown number.
- Solve multiplication problems involving arrays.

### Student Facing

- Let’s solve problems involving arrays.

### Required Preparation

### Lesson Timeline

Warm-up | 10 min |

Activity 1 | 25 min |

Activity 2 | 10 min |

Lesson Synthesis | 10 min |

Cool-down | 5 min |

### Teacher Reflection Questions

Who has been sharing their ideas in class lately? Make a note of students whose ideas have not been shared and look for an opportunity for them to share their thinking in tomorrow’s lesson.

### Suggested Centers

- Capture Squares (1–3), Stage 5: Multiply with 2, 5, and 10 (Addressing)
- Five in a Row: Multiplication (3–5), Stage 1: Factors 1–5 and 10 (Addressing)