# Lesson 18

Represent Situations with Multiplication and Division

### Lesson Purpose

The purpose of this lesson is for students to apply their understanding of fraction multiplication and division to solve problems in context.

### Lesson Narrative

In previous lessons, students multiplied fractions and divided whole numbers and unit fractions. They represented situations by drawing diagrams, writing expressions and equations, and they solved problems using numerical methods.

In this lesson, students continue to solve problems in context with a goal of understanding how to solve them using either multiplication or division. Students create and interpret diagrams, and explain how the same diagram can be interpreted as representing multiplication or division.

- Engagement

- MLR1

### Learning Goals

Teacher Facing

- Represent situations involving fractions with both multiplication and division equations.

### Student Facing

- Let’s represent problems with multiplication and division equations.

### Required Preparation

### Lesson Timeline

Warm-up | 10 min |

Activity 1 | 15 min |

Activity 2 | 20 min |

Lesson Synthesis | 10 min |

Cool-down | 5 min |

### Teacher Reflection Questions

Identify ways the math community you are working to foster is going well. What aspects would you like to work on? What actions can you take to improve those areas?

### Suggested Centers

- Compare (1–5), Stage 8: Divide Fractions and Whole Numbers (Addressing)
- Rolling for Fractions (3–5), Stage 5: Divide Unit Fractions and Whole Numbers (Addressing)
- How Close? (1–5), Stage 6: Multiply to 3,000 (Supporting)