Virginia SOL 4.NS.5.a
The Standard
Represent fractions (proper or improper) and/or mixed numbers as decimals through hundredths, using multiple representations, limited to halves, fourths, fifths, tenths, and hundredths.*
Virginia Standards of Learning for Mathematics · The student will reason about the relationship between fractions and decimals (limited to halves, fourths, fifths, tenths, and hundredths) to identify and represent equivalencies.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students rename fractions and mixed numbers as decimals to the hundredths place. They show the same value with models, number lines, and equations.
What Mastery Looks Like
- Students correctly match fractions and mixed numbers to decimals, including values greater than one. They use fraction strips, grids, or number lines to justify matches such as 3/5 = 0.60 and 7/4 = 1.75.
Common Misconceptions
- Students may read 0.25 as twenty-five tenths or assume a larger denominator means a larger value. They may also ignore the whole-number part of an improper fraction or mixed number.
How to Assess It
- Ask students to represent 7/4 as a decimal and on a number line. Have them write one sentence explaining why both forms show the same value.
Lesson moves
Ways to Teach It
Use fraction strips to build 7/4, then shade two hundred grids to show the same value as 1.75.
Write a response to: Why do 3/5 and 0.60 name the same amount?
Play a matching game with cards showing fractions, mixed numbers, decimals, number lines, and shaded grids.
Convert price tags written as fractions of a dollar, such as 3/4 dollar, into dollar notation.
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Printable 4.NS.5.a Worksheet
A ready-to-print activity worksheet aligned to 4.NS.5.a, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.NS.5.b
Identify and model equivalent relationships between fractions (proper or improper) and/or mixed numbers and decimals, using halves, fourths, fifths, tenths, and...
- 6.NS.1.c
Represent and determine equivalencies among fractions (proper or improper) and mixed numbers that have denominators that are 12 or less or factors of 100 and pe...
- 6.NS.1.d
Represent and determine equivalencies among decimals, percents, fractions (proper or improper), and mixed numbers that have denominators that are 12 or less or ...
- 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.*
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