Lesson 2 Thousandths on Grids and in Words

- Let’s represent numbers as decimals, fractions, words, and on hundredths grids.

Warm-up Estimation Exploration: What Part of the Square is Shaded?

How much of the square is shaded?

Diagram, square. Length and width, 1. No rows or columns drawn in. About 3 fourths shaded.

Record an estimate that is:

too low	about right	too high

Activity 1 Represent Thousandths on a Grid

Problem 1

Shade each grid to represent the given number.

$\frac{2}{10}$
0.2
$\frac{15}{100}$
0.34

Problem 2

For each diagram, write a decimal number to represent how much is shaded. Explain or show your reasoning.

Problem 3

Shade 0.328 in the diagram. Explain or show your reasoning.

Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

Activity 2 Say What?

Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. 15 squares shaded.

Several students look at the diagram and describe the shaded region in different ways. Who do you agree with? Why?

Jada says it’s “15 hundredths.”
Priya says it’s “150 thousandths.”
Tyler says it’s “15 thousandths.”
Diego says it’s “1 tenth and 5 hundredths.”
Mai says it’s “1 tenth and half of a tenth.”

Practice Problem

Problem 1

Write a decimal number to represent how much of the square is shaded.
Shade one hundred fifteen thousandths of the square.