Virginia SOL 5.NS.1.b
The Standard
Use concrete and pictorial models to represent decimals in their equivalent fraction form (thirds, eighths, and factors of 100).*
Virginia Standards of Learning for Mathematics · The student will use reasoning and justification to identify and represent equivalency between fractions (with denominators that are thirds, eighths, and factors of 100) and decimals; and compare and order sets of fractions (proper, improper, and/or mixed numbers having denominators of 12 or less) and decimals (through thousandths).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use grids, fraction strips, area models, or number lines to match decimals with equivalent fractions. They name the fractional parts shown and simplify fractions when possible.
What Mastery Looks Like
- Students shade or partition a model to show a decimal and write a fraction naming the same amount. They explain equivalence using equal-sized parts and simplify when possible.
Common Misconceptions
- Students may read 0.3 as one third instead of three tenths. They may also match digits to a fraction without considering place value or simplifying the fraction.
How to Assess It
- Give students a hundred grid and ask: “Shade 0.25, write an equivalent fraction, and prove the equivalence using the model.”
Lesson moves
Ways to Teach It
Give pairs hundred grids and fraction strips to model decimals such as 0.25, 0.5, 0.75, and 0.125, then label equivalent fractions.
Ask students to explain why 0.3 equals three tenths, not one third, using a labeled drawing.
Play a matching game with decimal cards, fraction cards, and model cards, including thirds, eighths, tenths, hundredths, and equivalent simplified fractions.
Use store discounts such as 0.25 off and one-fourth off, then have students draw models showing why the amounts match.
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Printable 5.NS.1.b Worksheet
A ready-to-print activity worksheet aligned to 5.NS.1.b, 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...
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- 5.NS.1.a
Use concrete and pictorial models to represent fractions with denominators that are thirds, eighths, and factors of 100 in their equivalent decimal form.*
- 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...
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