# Lesson 8

Divide to Multiply Non-unit Fractions

### Lesson Purpose

The purpose of this lesson is for students to represent and solve problems involving a non-unit fraction.

### Lesson Narrative

In this lesson, students to make sense of the product of a whole number and a non-unit fraction. Students relate the product of a whole number and a non-unit fraction to the product of a whole number and a unit fraction. They will have more opportunities to multiply a whole number by a fraction in the next section, systematically using the idea of area. This lesson continues to focus on the relationship between multiplication and division and encourages students to solve and interpret the problems in ways that make sense to them.

- Engagement

### Learning Goals

Teacher Facing

- Connect division to multiplication of a whole number by a non-unit fraction.

### Student Facing

- Let’s solve problems about multiplying whole numbers by fractions.

### Required Materials

Materials to Gather

### Required Preparation

Gather the chart from the synthesis of a previous lesson that describes what students know and wonder about the relationship between multiplication and division.

### CCSS Standards

Addressing

### 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

If you were to teach this lesson again what would you do the same? What would you change?

### Suggested Centers

- Target Measurements (2–5), Stage 5: Fractions of Angles (Addressing)
- Compare (1–5), Stage 5: Fractions (Supporting)