# Lesson 16

Estimate Products (optional)

### Lesson Purpose

The purpose of this lesson is for students to reason about the value of the product of a whole number and a fraction greater than 1 and use the properties of operations to find the product.

### Lesson Narrative

In previous lessons, students represented the decomposition of a rectangle with diagrams, expressions, and equations and found the product of a whole number and a fraction.
In this optional lesson, students will practice multiplying fractions by using their understanding of the properties of operations. This time, they will not be provided with a diagram to represent each product. They will also apply what they have learned about multiplying fractions to reason about the proximity of fractional areas to whole number areas.

• Representation
• MLR5

### Learning Goals

Teacher Facing

• Use estimation and the properties of operations to reason about the product of a whole number and a fraction greater than 1.

### Student Facing

• Let’s estimate products of a whole number and a fraction.

Building Towards

### 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

What evidence did you see in today’s lesson that your students are extending their understanding of multiplication?

### Suggested Centers

• Rectangle Rumble (3–5), Stage 4: Whole Number and Fraction Factors (Addressing)
• Can You Build It? (3–5), Stage 2: Multiple Rectangles (Supporting)