Virginia SOL 4.NS.5.b
The Standard
Identify and model equivalent relationships between fractions (proper or improper) and/or mixed numbers and decimals, using 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 connect fractions and mixed numbers to decimals using area models, number lines, or place-value models. They identify equal values, including amounts greater than one.
What Mastery Looks Like
- A student can show that 3/4 equals 0.75 and 1 1/5 equals 1.2 using models and words. They can rename values greater than one as improper fractions, mixed numbers, and decimals.
Common Misconceptions
- Students may write 3/4 as 0.34 or confuse 0.5 with 0.05. They may also treat an improper fraction as less than one or omit the whole-number part of a mixed number.
How to Assess It
- Give this exit ticket: Draw a model for 1 3/4. Write the matching improper fraction and decimal, then explain how the model supports both names.
Lesson moves
Ways to Teach It
Fold paper strips into halves, fourths, fifths, and tenths, shade amounts, then label each model with a fraction and decimal.
Show 1.25 and ask, “Which fraction or mixed number matches it, and how does your model prove it?”
Play a matching game with cards showing decimals, fractions, mixed numbers, and area models, including values greater than one.
Use a dollar grid to connect 75 cents to 0.75, 75/100, and 3/4, then explain why all names match.
Free download
Printable 4.NS.5.b Worksheet
A ready-to-print activity worksheet aligned to 4.NS.5.b, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 4.NS.5.a
Represent fractions (proper or improper) and/or mixed numbers as decimals through hundredths, using multiple representations, limited to halves, fourths, fifths...
- 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 ...
- 5.NS.1.c
Identify equivalent relationships between decimals and fractions with denominators that are thirds, eighths, and factors of 100 in their equivalent decimal form...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.