Virginia SOL 4.NS.4.b

Math4th GradeNumber and Number Sense 

The Standard

Represent and identify decimals expressed through thousandths, using concrete, pictorial, and numerical representations.

Virginia Standards of Learning for Mathematics · The student will use mathematical reasoning and justification to represent, compare, and order decimals through thousandths, with and without models.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students connect a decimal such as 0.347 to 3 tenths, 4 hundredths, and 7 thousandths. They build or shade models and write the numeral, word form, and expanded form.

What Mastery Looks Like

Students identify a decimal from a model and create an accurate model from a decimal. They explain each digit's place and keep the size of one whole consistent.

Common Misconceptions

Students may confuse tenths, hundredths, and thousandths or treat 0.347 as the whole number 347. They may change the size of the whole between models or ignore zeros in numbers such as 0.406.

How to Assess It

Exit ticket: Set a large base-ten cube equal to one and give students 0.406. Ask them to sketch the needed blocks and write the expanded form.

Lesson moves

Ways to Teach It

  1. Set a large base-ten cube as one; students build teacher-called decimals with flats, rods, and units, then record each numeral.

  2. Display two models of 0.305 and ask, "How do the zero hundredths affect what we build and write?"

  3. Play a matching game with cards showing decimals, expanded forms, place-value descriptions, and base-ten block sketches.

  4. Read race times such as 12.347 seconds, then identify the tenths, hundredths, and thousandths represented by each digit.

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Printable 4.NS.4.b Worksheet

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