Virginia SOL 4.NS.4.a
The Standard
Investigate and describe the ten-to-one place value relationship for decimals through thousandths, using concrete models (e.g., place value mats/charts, decimal squares, base 10 blocks).
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 represent decimals through thousandths with place value charts, decimal squares, or base ten blocks. They explain that each place is ten times the place to its right.
What Mastery Looks Like
- Students can build or shade a given decimal through thousandths and label each place correctly. They can regroup 10 thousandths as 1 hundredth and 10 hundredths as 1 tenth.
Common Misconceptions
- Students may treat decimal digits like whole numbers and think 0.004 is greater than 0.04. They may reverse the relationship between places or change the chosen whole when using models.
How to Assess It
- Ask students to represent 0.134 on a place value chart, then complete and explain: 10 thousandths equals ___ hundredth.
Lesson moves
Ways to Teach It
Give pairs a base ten set, name the large cube as one, and have them trade ten thousandth cubes for one hundredth rod.
Display 0.4, 0.04, and 0.004, then ask, "How does the value of 4 change as it moves right?"
Play Trade Ten: students roll a die, collect thousandth counters, and exchange every ten for the next larger place.
Mark 0.1, 0.01, and 0.001 meter on a meter strip, connecting each decimal to decimeters, centimeters, and millimeters.
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Printable 4.NS.4.a Worksheet
A ready-to-print activity worksheet aligned to 4.NS.4.a, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.NS.1.b
Represent and determine equivalencies among decimals (through the thousandths place) and percents incorporating the use of number lines, and concrete and pictor...
- 2.NS.2.d
Investigate and explain the ten-to-one relationships among ones, tens, and hundreds, using models.
- 4.NS.4.b
Represent and identify decimals expressed through thousandths, using concrete, pictorial, and numerical representations.
- 4.NS.4
The student will use mathematical reasoning and justification to represent, compare, and order decimals through thousandths, with and without models.
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