Virginia SOL 3.NS.1.c
The Standard
Compose, decompose, and represent numbers up to 9,999 in multiple ways, according to place value (e.g., 256 can be 1 hundred, 14 tens, 16 ones, but also 25 tens, 6 ones), with and without models.
Virginia Standards of Learning for Mathematics · The student will use place value understanding to read, write, and determine the place and value of each digit in a whole number, up to six digits, with and without models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students build, draw, and write four-digit numbers using thousands, hundreds, tens, and ones. They regroup place-value units to show the same number in several different ways.
What Mastery Looks Like
- A student can build or draw a four-digit number and label the value of each part. The student can regroup it in several valid ways and show that each decomposition has the same total.
Common Misconceptions
- Students may confuse a digit's place with its value, such as calling the 4 in 4,231 simply 4. They may also think regrouping changes the total or overlook zero as a placeholder.
How to Assess It
- Exit ticket: Represent 4,306 on a labeled place-value chart, then write two decompositions, including one that uses no thousands.
Lesson moves
Ways to Teach It
Build 2,437 with base-ten blocks, then trade one thousand for ten hundreds and record both decompositions.
Write and defend two ways to decompose 3,620, including a way that uses more than 20 tens.
Play Trade It: draw a number card, roll a place-value die, make one valid trade, and record the new decomposition.
A warehouse packs 2,460 pencils in cases of 1,000, boxes of 100, and bundles of 10; find three packing plans.
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Printable 3.NS.1.c Worksheet
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Related Standards
- K.CE.1.d
Use objects, drawings, words, or numbers to compose and decompose numbers less than or equal to 10 in multiple ways.
- 2.NS.2.e
Compose and decompose whole numbers up to 200 by making connections between a variety of models (e.g., base 10 blocks, place value cards, presented orally, in e...
- 4.NS.3.f
Compose and decompose fractions (proper and improper) and/or mixed numbers with denominators of 12 or less, in multiple ways, with and without models.*
- K.NS.1.i
Use objects, drawings, words, or numbers to compose and decompose numbers 11-19 into a ten and some ones.
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