Lesson 16 Estimate Products

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

Warm-up Notice and Wonder: Garden Size

What do you notice? What do you wonder?

image of garden, has 3 sections, bushes and poles next to garden.

Activity 1 Priya’s Garden

a garden

Priya has enough materials to build a garden that is 36 square feet.

Choose all the side lengths that are reasonable for her garden. Be prepared to explain your thinking to your partner.

9 feet by $4 \frac{2}{3}$ feet
9 feet by $3 \frac{8}{9}$ feet
12 feet by $2 \frac{11}{12}$ feet
9 feet by $2 \frac{2}{3}$ feet

Activity 2 Too High, Too Low, Just About Right

Problem 1

Write a whole number product that is slightly less than, slightly greater than, or about equal to the value of $7 \times 12 \frac{8}{9}$ .

slightly less:
slightly greater:
just right:

Problem 2

Write a whole number product that is slightly less than, slightly greater than, or about equal to the value of $9 \times 4 \frac{2}{29}$ .

slightly less:
slightly greater:
just right:

Problem 3

Without calculating, use the numbers 2, 3, 5, 6, and 7, to complete the expression with a value close to 20.
$\times$ $\frac{}{}$
Explain how you know your expression represents a value close to 20.

Practice Problem

Problem 1

Tyler says that $9 \frac{11}{12} \times 5$ is a little less than 50.

Do you agree with Tyler? Explain or show your reasoning.
What is the value of $9 \frac{11}{12} \times 5$ ?