Virginia SOL 4.NS.4.b
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
Set a large base-ten cube as one; students build teacher-called decimals with flats, rods, and units, then record each numeral.
Display two models of 0.305 and ask, "How do the zero hundredths affect what we build and write?"
Play a matching game with cards showing decimals, expanded forms, place-value descriptions, and base-ten block sketches.
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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Related Standards
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Represent and determine equivalencies among decimals (through the thousandths place) and percents incorporating the use of number lines, and concrete and pictor...
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Read and write decimals expressed through thousandths, using concrete, pictorial, and numerical representations.
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Use concrete and pictorial models to represent decimals in their equivalent fraction form (thirds, eighths, and factors of 100).*
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Represent and determine equivalencies among decimals, percents, fractions (proper or improper), and mixed numbers that have denominators that are 12 or less or ...
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