5.2.A

Math5th GradeNumber and operations

The Standard

represent the value of the digit in decimals through the thousandths using expanded notation and numerals

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What Students Need to Do: Students identify the value of digits in decimals from tenths through thousandths. They write decimals as numerals and as sums of place-value parts.
What Mastery Looks Like: Students correctly identify each digit’s value in a decimal through the thousandths place. They move accurately between a numeral and expanded notation, including numbers with zeros.
Common Misconceptions: Students may name the digit instead of its value, saying 6 instead of 0.006. They may reverse tenths and hundredths or omit zero placeholders when writing numerals.
How to Assess It: Give students 4.307 and ask them to write it in expanded notation, then state the value of the 3 and the 7.

Lesson moves

Give students place-value mats and digit cards to build decimals, then write each number in numeral and expanded forms.
Ask students to explain in writing how the value of 5 differs in 2. fifty-four and 2.405.
Play a matching game using cards with decimal numerals, expanded notation, and highlighted digit values.
Use prices and metric measurements, such as $3.275 or 1.438 meters, to identify each digit’s value.

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